THRESH) {
+ af++;
+ printf("Active Frame: %ld unstables: %d\n",af, unstables);
+
+ find_aks(Sn, ak, NW, P, &Eres);
+ roots = lpc_to_lsp(ak, P , lsp, 5, LSP_DELTA1);
+ if (roots == P) {
+ if (lspd) {
+ if (log) {
+ fprintf(flsp,"%f ",log10(lsp[0]));
+ for(i=1; i
+#include
+#include
+#include
+#include
+#include
+
+#define TWO_PI 6.283185307
+#define FS 8000.0
+#define AMP 10000.0
+
+int main(int argc, char *argv[]) {
+ FILE *f;
+ int i,n;
+ float freq, length;
+ short *buf;
+
+ if (argc != 4) {
+ printf("usage: %s outputFile frequencyHz lengthSecs\n", argv[0]);
+ exit(1);
+ }
+
+ if (strcmp(argv[1], "-") == 0) {
+ f = stdout;
+ } else if ( (f = fopen(argv[1],"wb")) == NULL ) {
+ fprintf(stderr, "Error opening output file: %s: %s.\n", argv[3], strerror(errno));
+ exit(1);
+ }
+ freq = atof(argv[2]);
+ length = atof(argv[3]);
+ n = length*FS;
+ buf = (short*)malloc(sizeof(short)*n);
+ assert(buf != NULL);
+
+ for(i=0; i
+#include
+#include
+#include
+#include
+#include
+#include "lpc.h"
+
+#define N 80
+
+int main(int argc, char*argv[]) {
+ FILE *fin, *fout;
+ short buf[N];
+ float Sn[N], Sn_pre[N];
+ float pre_mem = 0.0;
+ int i;
+
+ if (argc != 3) {
+ printf("usage: pre InputRawSpeechFile OutputRawSpeechFile\n");
+ printf("e.g pre input.raw output.raw\n");
+ exit(1);
+ }
+
+ if (strcmp(argv[1], "-") == 0) fin = stdin;
+ else if ( (fin = fopen(argv[1],"rb")) == NULL ) {
+ fprintf(stderr, "Error opening input speech file: %s: %s.\n",
+ argv[1], strerror(errno));
+ exit(1);
+ }
+
+ if (strcmp(argv[2], "-") == 0) fout = stdout;
+ else if ( (fout = fopen(argv[2],"wb")) == NULL ) {
+ fprintf(stderr, "Error opening output speech file: %s: %s.\n",
+ argv[2], strerror(errno));
+ exit(1);
+ }
+
+ while(fread(buf, sizeof(short), N, fin) == N) {
+ for(i=0; i
+#include
+#include
+#include
+
+int main(int argc, char *argv[]) {
+ FILE *fraw, *fheader;
+ int i, samples, ret;
+ short sam;
+
+ if (argc != 5) {
+ printf("usage: %s inputRawFile outputHeaderFile arrayName samples\n", argv[0]);
+ exit(1);
+ }
+
+ fraw = fopen(argv[1] ,"rb");
+ assert(fraw != NULL);
+ fheader = fopen(argv[2],"wt");
+ assert(fheader != NULL);
+ samples = atoi(argv[4]);
+
+ fprintf(fheader, "short %s[] = {\n", argv[3]);
+ for(i=0; i.
+*/
+
+#define MAX_N 2048 /* maximum DFT size */
+
+#include
+#include "four1.h"
+#include "comp.h"
+#include "sd.h"
+
+/*---------------------------------------------------------------------------*\
+
+ FUNCTION....: spectral_dist()
+
+ AUTHOR......: David Rowe
+ DATE CREATED: 20/7/93
+
+ This function returns the soectral distoertion between two
+ sets of LPCs.
+
+\*---------------------------------------------------------------------------*/
+
+float spectral_dist(float ak1[], float ak2[], int p, int n)
+/* float ak1[]; unquantised set of p+1 LPCs */
+/* float ak2[]; quantised set of p+1 LPCs */
+/* int p; LP order */
+/* int n; DFT size to use for SD calculations (power of 2) */
+{
+ COMP A1[MAX_N]; /* DFT of ak1[] */
+ COMP A2[MAX_N]; /* DFT of ak2[] */
+ float P1,P2; /* power of current bin */
+ float sd;
+ int i;
+
+ for(i=0; i.
+*/
+
+#ifndef __SD__
+#define __SD__
+
+float spectral_dist(float ak1[], float ak2[], int p, int n);
+
+#endif /* __SD__ */
diff --git a/libcodec2-android/src/codec2/misc/speexnoisesup.c b/libcodec2-android/src/codec2/misc/speexnoisesup.c
new file mode 100644
index 0000000..f76d5e2
--- /dev/null
+++ b/libcodec2-android/src/codec2/misc/speexnoisesup.c
@@ -0,0 +1,59 @@
+/*----------------------------------------------------------------------------*\
+
+ FILE....: speexnoisesup.c
+ AUTHOR..: David Rowe
+ CREATED.: Sun 22 June 2014
+
+ File I/O based test program for Speex pre-processor, used for
+ initial testing of Speech noise supression.
+
+\*----------------------------------------------------------------------------*/
+
+#include
+#include
+#include
+#include
+#include
+#include
+
+#define N 80
+#define FS 8000
+
+int main(int argc, char *argv[]) {
+ FILE *fin, *fout;
+ short buf[N];
+ SpeexPreprocessState *st;
+
+ if (argc < 2) {
+ printf("usage: %s InFile OutFile\n", argv[0]);
+ exit(0);
+ }
+
+ if (strcmp(argv[1], "-") == 0) fin = stdin;
+ else if ( (fin = fopen(argv[1],"rb")) == NULL ) {
+ fprintf(stderr, "Error opening %s\n", argv[1]);
+ exit(1);
+ }
+
+ if (strcmp(argv[2], "-") == 0) fout = stdout;
+ else if ((fout = fopen(argv[2],"wb")) == NULL) {
+ fprintf(stderr, "Error opening %s\n", argv[2]);
+ exit(1);
+ }
+
+ st = speex_preprocess_state_init(N, FS);
+
+ while(fread(buf, sizeof(short), N, fin) == N) {
+ speex_preprocess_run(st, buf);
+ fwrite(buf, sizeof(short), N, fout);
+ if (fin == stdin) fflush(stdin);
+ if (fout == stdout) fflush(stdout);
+ }
+
+ speex_preprocess_state_destroy(st);
+
+ fclose(fin);
+ fclose(fout);
+
+ return 0;
+}
diff --git a/libcodec2-android/src/codec2/misc/t16_8.c b/libcodec2-android/src/codec2/misc/t16_8.c
new file mode 100644
index 0000000..f6d83ba
--- /dev/null
+++ b/libcodec2-android/src/codec2/misc/t16_8.c
@@ -0,0 +1,111 @@
+/*
+ t16_8.c
+ David Rowe
+ May 10 2012
+
+ Unit test for 16 to 8 kHz sample rate conversion functions. I
+ evaluated output by plotting using Octave and looking for jaggies:
+
+ pl("../unittest/out16.raw",1,3000)
+ pl("../unittest/out8.raw",1,3000)
+
+ Listening to it also shows up anything nasty:
+
+ $ play -s -2 -r 16000 out16.raw
+ $ play -s -2 -r 8000 out8.raw
+
+ */
+
+#include
+#include
+#include
+#include
+#include "codec2_fdmdv.h"
+
+#define N8 160 /* procssing buffer size at 8 kHz */
+#define N16 (N8*FDMDV_OS)
+#define FRAMES 50
+#define TWO_PI 6.283185307
+#define FS 16000
+
+#define SINE
+
+int main() {
+ float in8k[FDMDV_OS_TAPS_8K + N8];
+ float out16k[N16];
+ short out16k_short[N16];
+ FILE *f16;
+
+ float in16k[FDMDV_OS_TAPS_16K + N16];
+ float out8k[N16];
+ short out8k_short[N8];
+ FILE *f8;
+
+ int i,f,t,t1;
+ float freq = 800.0;
+
+ f16 = fopen("out16.raw", "wb");
+ assert(f16 != NULL);
+ f8 = fopen("out8.raw", "wb");
+ assert(f8 != NULL);
+
+ /* clear filter memories */
+
+ for(i=0; i
+#include
+#include
+#include
+#include "codec2_fdmdv.h"
+
+#define N8 160 /* procssing buffer size at 8 kHz */
+#define N16 (N8*FDMDV_OS)
+#define FRAMES 100
+#define TWO_PI 6.283185307
+#define FS 16000
+
+#define SINE
+
+int main() {
+ short in8k_short[FDMDV_OS_TAPS_8K + N8];
+ short out16k_short[N16];
+ FILE *f16;
+
+ short in16k_short[FDMDV_OS_TAPS_16K + N16];
+ short out8k_short[N16];
+ FILE *f8;
+
+ int i,f,t,t1;
+ float freq = 800.0;
+
+ f16 = fopen("out16_short.raw", "wb");
+ assert(f16 != NULL);
+ f8 = fopen("out8.raw", "wb");
+ assert(f8 != NULL);
+
+ /* clear filter memories */
+
+ for(i=0; i
+#include
+#include
+#include
+#include "codec2_fdmdv.h"
+
+#define N8 160 /* procssing buffer size at 8 kHz */
+#define N48 (N8*FDMDV_OS)
+#define MEM8 (FDMDV_OS_TAPS/FDMDV_OS)
+#define FRAMES 50
+#define TWO_PI 6.283185307
+#define FS 8000
+
+#define SINE
+
+int main() {
+ float in8k[MEM8 + N8];
+ float out48k[N48];
+ short out48k_short[N48];
+ FILE *f48;
+
+ float in48k[FDMDV_OS_TAPS + N48];
+ float out8k[N48];
+ short out8k_short[N8];
+ FILE *f8;
+
+ int i,f,t,t1;
+ float freq = 800.0;
+
+ f48 = fopen("out48.raw", "wb");
+ assert(f48 != NULL);
+ f8 = fopen("out8.raw", "wb");
+ assert(f8 != NULL);
+
+ /* clear filter memories */
+
+ for(i=0; i
+#include
+#include
+#include
+#include
+#include
+
+#include "t_helpers.h"
+#include "c2wideband.h"
+#include "codec2.h"
+#include "defines.h"
+#include "codec2_fft.h"
+#include "sine.h"
+#include "nlp.h"
+#include "dump.h"
+#include "octave.h"
+#include "newamp1.h"
+#include "quantise.h"
+
+#define FRAMES 160
+
+float mean(float data[], int n);
+int unit_test();
+float std(float data[], int rows);
+void diff_de(int rows, int cols, float D[rows][cols], float E[rows][cols], float diff_de[rows][cols]);
+void array_col_to_row(int rows, int cols, float data[rows][cols], int col, float res[]);
+void std_on_cols(int rows, int cols, float data[rows][cols], float res[]);
+float mean_std_diff_de(int rows, int cols, float D[rows][cols], float E[rows][cols]);
+void test_wideband_enc_dec();
+void setup_map(WIDEBAND_MAP * wb_map, int Nt, int K);
+void test_with_real_data(int argc, char *argv[]);
+
+int main(int argc, char *argv[])
+{
+
+ printf("Testing file c2wideband\n");
+
+ test("mean");
+ int n = 5;
+ float in[] = {1.0, 2.0, 4.0, 6.0, 10.0};
+ float res_f;
+ float expect_f;
+
+ res_f = mean(in, n);
+ expect_f = 23.0 / 5;
+ if (res_f != expect_f) {
+ test_failed_f(expect_f, res_f);
+ }
+
+ test("std");
+ res_f = std(in, n);
+ expect_f = 3.2000000000000002;
+ if (res_f != expect_f) {
+ test_failed_f(expect_f, res_f);
+ }
+
+
+ test("diff_de");
+ int rows = 5;
+ int cols = 3;
+ float D[rows][cols];
+ float E[rows][cols];
+ float res_diff_de[rows][cols];
+ float expect_diff_de[rows][cols];
+ int r, c;
+
+ for (r = 0; r < rows; r++) {
+ for (c = 0; c < cols; c++) {
+ float d = rand();
+ float e = rand();
+ D[r][c] = d;
+ E[r][c] = e;
+ expect_diff_de[r][c] = d - e;
+ }
+ }
+
+ diff_de(rows, cols, D, E, res_diff_de);
+
+ if (memcmp(res_diff_de, expect_diff_de, rows * cols * sizeof (float)) != 0) {
+ test_failed();
+ }
+
+
+ test("array_col_to_row");
+ float data[rows][cols];
+ float res_data[rows];
+ float expect_data[cols][rows];
+ for (r = 0; r < rows; r++) {
+ for (c = 0; c < cols; c++) {
+ float d = rand();
+ data[r][c] = d;
+ expect_data[c][r] = d;
+ }
+ }
+ for (c = 0; c < cols; c++) {
+
+ array_col_to_row(rows, cols, data, c, res_data);
+ if (memcmp(res_data, expect_data[c], cols * sizeof (float)) != 0) {
+ test_failed();
+ }
+ }
+
+
+ test("std_on_cols");
+
+ cols = 4;
+
+ float data_std[5][4] = {
+ {1.0, 1.0, 4.0, 6.0},
+ {1.0, 2.0, 5.5, 6.0},
+ {1.0, 4.0, 6.0, 6.0},
+ {1.0, 6.0, 3.3, 6.0},
+ {1.0, 10.0, -0.2, 6.0}
+ };
+
+ float res_data_std[cols];
+ float expect_data_std[] = {0.0, 3.2000000000000002, 2.1903424389807178, 0.0};
+
+ std_on_cols(rows, cols, data_std, res_data_std);
+ if (memcmp(res_data_std, expect_data_std, cols * sizeof (float)) != 0) {
+ test_failed(fn);
+ }
+
+ test("mean_std_diff_de");
+
+ cols = 4;
+
+ float data_std_d[5][4] = {
+ {2.0, 1.0, 5.0, 6.0},
+ {1.0, 2.0, 10.5, 6.0},
+ {4.0, 4.0, 12.0, 6.0},
+ {1.0, 6.0, 4.6, 6.0},
+ {6.5, 10.0, 0.0, 6.0}
+ };
+
+ float data_std_e[5][4] = {
+ {1.0, 0.0, 1.0, 0.0},
+ {0.0, 0.0, 5.0, 0.0},
+ {3.0, 0.0, 6.0, 0.0},
+ {0.0, 0.0, 1.3, 0.0},
+ {5.5, 0.0, 0.2, 0.0}
+ };
+
+ float expected_msd = (3.2000000000000002 + 2.1903424389807178) / cols;
+
+ float res_msd;
+ res_msd = mean_std_diff_de(rows, cols, data_std_d, data_std_e);
+ if (abs(res_msd - expected_msd) > 0.00001) {
+ test_failed_f(res_msd, expected_msd);
+ }
+
+ test_wideband_enc_dec();
+
+ test_with_real_data(argc, argv);
+
+ return 1;
+}
+
+void test_wideband_enc_dec()
+{
+
+ test("wideband_enc_dec");
+
+ short *buf;
+ unsigned char *bits;
+ //int nsam, nbit, i, r;
+ int nbit;
+ int nsam;
+ int n_block_frames = C2WB_NT * C2WB_DEC;
+ int K = C2WB_K;
+ int Nt = C2WB_NT;
+ int Fs = C2WB_FS;
+ int dec = C2WB_DEC;
+ int Nblocks = n_block_frames;
+ int rate_K_surface_size = Nblocks * Nt * dec;
+
+ struct CODEC2 * codec2 = codec2_create(CODEC2_MODE_WB);
+
+ C2CONST c2const = c2const_create(Fs, N_S);
+ nsam = C2WB_SPERF; //codec2_samples_per_frame(codec2);
+ nbit = C2WB_BPERF; //codec2_bits_per_frame(codec2);
+
+ buf = (short*) malloc(nsam * sizeof (short));
+ bits = (unsigned char*) malloc(nbit * sizeof (char));
+
+ WIDEBAND_MAP wb_map;
+ setup_map(&wb_map, Nt, K);
+
+ MODEL model_block[n_block_frames];
+ MODEL model_block_[n_block_frames];
+ float dct2_sd[Nblocks];
+ int qn;
+ float rate_K_surface_block[rate_K_surface_size][K]; // rate K vecs for each frame, form a surface that makes pretty graphs
+ float rate_K_surface_block_[rate_K_surface_size][K];
+ int n, i;
+
+ for (n = 0; n < n_block_frames; n++) {
+ model_block[n].L = 10;
+ model_block[n].Wo = (float) rand() / RAND_MAX;
+ for (i = 0; i < MAX_AMP + 1; i++) {
+ model_block[n].phi[i] = (float) rand() / RAND_MAX;
+ model_block[n].A[i] = (float) rand() / RAND_MAX;
+ }
+ model_block[n].voiced = round((float) rand() / RAND_MAX);
+ }
+
+ n = 0;
+
+ printf("setup complete. now calling the function\n");
+
+ wideband_enc_dec(&c2const, n_block_frames, model_block, &wb_map,
+ model_block_, dct2_sd, &qn, &rate_K_surface_block[n], &rate_K_surface_block_[n]);
+
+ codec2_destroy(codec2);
+ free(bits);
+ free(buf);
+ printf("made it to the end\n");
+}
+
+/*---------------------------------------------------------------------------*\
+
+ FUNCTION....: test_with_real_data()
+ AUTHOR......: David Rowe
+ DATE CREATED: July 2017
+
+ Tests the wideband functions with real data derived from input
+ speech samples. Test vectors are dumped to Octave vectors so they can
+ be verified against the Octave version of the wideband functions.
+
+ Supports rapid go/no-go testing of the C port when any canges are
+ made, and flushes out bugs in the C and octave version.
+
+\*---------------------------------------------------------------------------*/
+
+void test_with_real_data(int argc, char *argv[])
+{
+ int Nt = C2WB_NT;
+ int Fs = C2WB_FS;
+ int K = C2WB_K;
+
+ C2CONST c2const = c2const_create(Fs, N_S);
+ int n_samp = c2const.n_samp;
+ int m_pitch = c2const.m_pitch;
+ short buf[n_samp]; /* input/output buffer */
+ float Sn[m_pitch]; /* float input speech samples */
+ COMP Sw[FFT_ENC]; /* DFT of Sn[] */
+ codec2_fft_cfg fft_fwd_cfg; /* fwd FFT states */
+ float w[m_pitch]; /* time domain hamming window */
+ COMP W[FFT_ENC]; /* DFT of w[] */
+ MODEL model[FRAMES];
+ void *nlp_states;
+ float pitch, prev_f0;
+ int i, m, f;
+
+ if (argc != 2) {
+ printf("test_with_real_data usage: .%s RawFile\n", argv[0]);
+ exit(1);
+ }
+
+ nlp_states = nlp_create(&c2const);
+ prev_f0 = 1.0 / P_MAX_S;
+ fft_fwd_cfg = codec2_fft_alloc(FFT_ENC, 0, NULL, NULL);
+ make_analysis_window(&c2const, fft_fwd_cfg, w, W);
+
+ for (i = 0; i < m_pitch; i++) {
+ Sn[i] = 1.0;
+ }
+
+ WIDEBAND_MAP wb_map;
+ setup_map(&wb_map, Nt, K);
+ int n_block_frames = C2WB_NT * C2WB_DEC;
+
+ float model_octave[FRAMES][MAX_AMP + 2]; // model params in matrix format, useful for C <-> Octave
+ float rate_K_surface[FRAMES][K]; // rate K vecs for each frame, form a surface that makes pretty graphs
+ float rate_K_surface_[FRAMES][K];
+ MODEL model_block_[n_block_frames];
+
+ int Nblocks = FRAMES / n_block_frames;
+ float dct2_sd[Nblocks];
+ int qn;
+
+ for (f = 0; f < FRAMES; f++) {
+ for (m = 0; m < MAX_AMP + 2; m++) {
+ model_octave[f][m] = 0.0;
+ }
+ }
+
+ FILE *fin = fopen(argv[1], "rb");
+ if (fin == NULL) {
+ fprintf(stderr, "Problem opening %s\n", argv[1]);
+ exit(1);
+ }
+
+ for (f = 0; f < FRAMES; f++) {
+ assert(fread(buf, sizeof (short), n_samp, fin) == n_samp);
+
+ /* shift buffer of input samples, and insert new samples */
+
+ for (i = 0; i < m_pitch - n_samp; i++) {
+ Sn[i] = Sn[i + n_samp];
+ }
+ for (i = 0; i < n_samp; i++) {
+ Sn[i + m_pitch - n_samp] = buf[i];
+ }
+
+ /* Estimate Sinusoidal Model Parameters ----------------------*/
+
+ nlp(nlp_states, Sn, n_samp, &pitch, Sw, W, &prev_f0);
+ model[f].Wo = TWO_PI / pitch;
+
+ dft_speech(&c2const, fft_fwd_cfg, Sw, Sn, w);
+ two_stage_pitch_refinement(&c2const, &model[f], Sw);
+ estimate_amplitudes(&model[f], Sw, W, 1);
+ est_voicing_mbe(&c2const, &model[f], Sw, W);
+
+ fprintf(stderr, "f: %d Wo: %4.3f L: %d v: %d\n", f, model[f].Wo, model[f].L, model[f].voiced);
+
+ /* log some vectors for sinusoidal model */
+
+ model_octave[f][0] = model[f].Wo;
+ model_octave[f][1] = model[f].L;
+
+ for (m = 1; m <= model[f].L; m++) {
+ model_octave[f][m + 1] = model[f].A[m];
+ }
+
+ /* once we have collected a block of samples process ----------*/
+
+ if (((f + 1) % n_block_frames) == 0) {
+
+ /* wideband processing ----------------------------------------*/
+
+ int block_st = f - n_block_frames + 1;
+ wideband_enc_dec(&c2const, n_block_frames, &model[block_st], &wb_map,
+ model_block_, dct2_sd, &qn,
+ &rate_K_surface[block_st],
+ &rate_K_surface_[block_st]);
+
+ fprintf(stderr, " Performed a wideband_enc_dec() call, qn: %d\n", qn);
+
+ /* todo: add a synthesis stage here to output decoded speech from model_block_ */
+ }
+ }
+
+ fclose(fin);
+
+ /* save vectors in Octave format */
+
+ FILE *fout = fopen("tc2wideband_out.txt", "wt");
+ assert(fout != NULL);
+ fprintf(fout, "# Created by tc2wideband.c\n");
+ octave_save_float(fout, "rate_K_surface_c", (float*) rate_K_surface, FRAMES, K, K);
+ octave_save_float(fout, "model_c", (float*) model_octave, FRAMES, MAX_AMP + 2, MAX_AMP + 2);
+ fclose(fout);
+
+ printf("Done! Now run\n octave:1> tc2wideband(\"../path/to/tc2wideband_out.txt\")\n");
+}
diff --git a/libcodec2-android/src/codec2/misc/tcodec2.c b/libcodec2-android/src/codec2/misc/tcodec2.c
new file mode 100644
index 0000000..ecb81d7
--- /dev/null
+++ b/libcodec2-android/src/codec2/misc/tcodec2.c
@@ -0,0 +1,220 @@
+/*---------------------------------------------------------------------------*\
+
+ FILE........: tcodec2.c
+ AUTHOR......: David Rowe
+ DATE CREATED: 24/8/10
+
+ Test program for codec2.c functions.
+
+\*---------------------------------------------------------------------------*/
+
+/*
+ Copyright (C) 2010 David Rowe
+
+ All rights reserved.
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License version 2.1, as
+ published by the Free Software Foundation. This program is
+ distributed in the hope that it will be useful, but WITHOUT ANY
+ WARRANTY; without even the implied warranty of MERCHANTABILITY or
+ FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
+ License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with this program; if not, see .
+*/
+
+#include
+#include
+#include
+#include
+#include
+#include "defines.h"
+#include "comp.h"
+#include "codec2.h"
+#include "quantise.h"
+#include "interp.h"
+
+/* CODEC2 struct copies from codec2.c to help with testing */
+
+struct CODEC2 {
+ int mode;
+ float w[M]; /* time domain hamming window */
+ COMP W[FFT_ENC]; /* DFT of w[] */
+ float Pn[2*N]; /* trapezoidal synthesis window */
+ float Sn[M]; /* input speech */
+ float hpf_states[2]; /* high pass filter states */
+ void *nlp; /* pitch predictor states */
+ float Sn_[2*N]; /* synthesised output speech */
+ float ex_phase; /* excitation model phase track */
+ float bg_est; /* background noise estimate for post filter */
+ float prev_Wo; /* previous frame's pitch estimate */
+ MODEL prev_model; /* previous frame's model parameters */
+ float prev_lsps_[LPC_ORD]; /* previous frame's LSPs */
+ float prev_energy; /* previous frame's LPC energy */
+};
+
+void analyse_one_frame(struct CODEC2 *c2, MODEL *model, short speech[]);
+void synthesise_one_frame(struct CODEC2 *c2, short speech[], MODEL *model, float ak[]);
+
+int test1()
+{
+ FILE *fin, *fout;
+ short buf[N];
+ struct CODEC2 *c2;
+ MODEL model;
+ float ak[LPC_ORD+1];
+ float lsps[LPC_ORD];
+
+ c2 = codec2_create(CODEC2_MODE_2400);
+
+ fin = fopen("../raw/hts1a.raw", "rb");
+ assert(fin != NULL);
+ fout = fopen("hts1a_test.raw", "wb");
+ assert(fout != NULL);
+
+ while(fread(buf, sizeof(short), N, fin) == N) {
+ analyse_one_frame(c2, &model, buf);
+ speech_to_uq_lsps(lsps, ak, c2->Sn, c2->w, LPC_ORD);
+ synthesise_one_frame(c2, buf, &model, ak);
+ fwrite(buf, sizeof(short), N, fout);
+ }
+
+ codec2_destroy(c2);
+
+ fclose(fin);
+ fclose(fout);
+
+ return 0;
+}
+
+int test2()
+{
+ FILE *fin, *fout;
+ short buf[2*N];
+ struct CODEC2 *c2;
+ MODEL model, model_interp;
+ float ak[LPC_ORD+1];
+ int voiced1, voiced2;
+ int lsp_indexes[LPC_ORD];
+ int energy_index;
+ int Wo_index;
+ char *bits;
+ int nbit;
+ int i;
+ float lsps[LPC_ORD];
+ float e;
+
+ c2 = codec2_create(CODEC2_MODE_2400);
+ bits = (char*)malloc(codec2_bits_per_frame(c2));
+ assert(bits != NULL);
+ fin = fopen("../raw/hts1a.raw", "rb");
+ assert(fin != NULL);
+ fout = fopen("hts1a_test.raw", "wb");
+ assert(fout != NULL);
+
+ while(fread(buf, sizeof(short), 2*N, fin) == 2*N) {
+ /* first 10ms analysis frame - we just want voicing */
+
+ analyse_one_frame(c2, &model, buf);
+ voiced1 = model.voiced;
+
+ /* second 10ms analysis frame */
+
+ analyse_one_frame(c2, &model, &buf[N]);
+ voiced2 = model.voiced;
+
+ Wo_index = encode_Wo(model.Wo);
+ e = speech_to_uq_lsps(lsps, ak, c2->Sn, c2->w, LPC_ORD);
+ encode_lsps_scalar(lsp_indexes, lsps, LPC_ORD);
+ energy_index = encode_energy(e);
+ nbit = 0;
+ pack((unsigned char*)bits, (unsigned *)&nbit, Wo_index, WO_BITS);
+ for(i=0; iprev_model, &model);
+
+ synthesise_one_frame(c2, buf, &model_interp, ak);
+ synthesise_one_frame(c2, &buf[N], &model, ak);
+
+ memcpy(&c2->prev_model, &model, sizeof(MODEL));
+ fwrite(buf, sizeof(short), 2*N, fout);
+ }
+
+ free(bits);
+ codec2_destroy(c2);
+
+ fclose(fin);
+ fclose(fout);
+
+ return 0;
+}
+
+int test3()
+{
+ FILE *fin, *fout, *fbits;
+ short buf1[2*N];
+ short buf2[2*N];
+ char *bits;
+ struct CODEC2 *c2;
+
+ c2 = codec2_create(CODEC2_MODE_2400);
+ int numBits = codec2_bits_per_frame(c2);
+ int numBytes = (numBits+7)>>3;
+
+ bits = (char*)malloc(numBytes);
+
+ fin = fopen("../raw/hts1a.raw", "rb");
+ assert(fin != NULL);
+ fout = fopen("hts1a_test.raw", "wb");
+ assert(fout != NULL);
+ fbits = fopen("hts1a_test3.bit", "wb");
+ assert(fout != NULL);
+
+ while(fread(buf1, sizeof(short), 2*N, fin) == 2*N) {
+ codec2_encode(c2, (void*)bits, buf1);
+ fwrite(bits, sizeof(char), numBytes, fbits);
+ codec2_decode(c2, buf2, (void*)bits);
+ fwrite(buf2, sizeof(short), numBytes, fout);
+ }
+
+ free(bits);
+ codec2_destroy(c2);
+
+ fclose(fin);
+ fclose(fout);
+ fclose(fbits);
+
+ return 0;
+}
+
+int main() {
+ test3();
+ return 0;
+}
diff --git a/libcodec2-android/src/codec2/misc/tdct2.c b/libcodec2-android/src/codec2/misc/tdct2.c
new file mode 100644
index 0000000..2b0ca55
--- /dev/null
+++ b/libcodec2-android/src/codec2/misc/tdct2.c
@@ -0,0 +1,176 @@
+/*---------------------------------------------------------------------------*\
+
+ FILE........: tdct2.c
+ AUTHOR......: Phil Ayres
+ DATE CREATED: July 2017
+
+ * Unit test for DCT & DCT2 functions
+ *
+\*---------------------------------------------------------------------------*/
+
+/*
+ Copyright David Rowe 2017
+
+ All rights reserved.
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License version 2.1, as
+ published by the Free Software Foundation. This program is
+ distributed in the hope that it will be useful, but WITHOUT ANY
+ WARRANTY; without even the implied warranty of MERCHANTABILITY or
+ FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
+ License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with this program; if not, see .
+
+ */
+
+
+#include
+#include
+#include
+#include
+#include
+#include
+
+#include "t_helpers.h"
+#include "dct2.h"
+
+int main()
+{
+ int i;
+ int j;
+
+ test("dct");
+
+ int N = 4;
+
+ codec2_dct_cfg dct_cfg = dct_config(N);
+
+ float y[] = {1, 2, 3, 4};
+ float expect_dct[] = {20, -6.30864406, 0, -0.44834153};
+ float res_dct[N];
+
+ dct(dct_cfg, N, y, res_dct);
+
+
+ for (i = 0; i < N; i++) {
+ //printf("Result = %f : %f\n", res_dct[i].real, res_dct[i].imag);
+ //printf("Expected = %f\n", expect_dct[i]);
+ if (abs(expect_dct[i] - res_dct[i]) > 0.00001)
+ test_failed_f(expect_dct[i], res_dct[i]);
+ }
+
+ dct_cfg_free(dct_cfg);
+
+ test("idct");
+
+ codec2_dct_cfg idct_cfg = idct_config(N);
+
+ float *expect_idct = y;
+ float res_idct[N];
+
+ idct(idct_cfg, N, res_dct, res_idct);
+
+
+ for (i = 0; i < N; i++) {
+ //printf("Result = %f : %f\n", res_dct[i].real, res_dct[i].imag);
+ //printf("Expected = %f\n", expect_dct[i]);
+ if (abs(expect_idct[i] - res_idct[i]) > 0.00001)
+ test_failed_f(expect_idct[i], res_idct[i]);
+ }
+
+
+ dct_cfg_free(idct_cfg);
+
+ test("dct2");
+
+ int M = 3;
+
+ codec2_dct_cfg dct_cfg_n = dct_config(N);
+ codec2_dct_cfg dct_cfg_m = dct_config(M);
+
+
+ float expect_dct2[3][4] = {
+ { 180, -26.76530997, 8.48528137, 1.90215201},
+ { 3.46410162, -9.60123774, -7.34846923, -3.97696289},
+ { -66, 5.5432772, 4.24264069, 2.29610059}
+ };
+
+ float y2[3][4] = {
+ {1, 2, 3, 4},
+ {5, 6, 7, 8},
+ {3, 1, 2, 3}
+ };
+
+
+ float res_dct2[M][N];
+ dct2(dct_cfg_m, dct_cfg_n, M, N, y2, res_dct2);
+
+ /*
+ printf("Result\n");
+ for (i = 0; i < M; i++) {
+ for (j = 0; j < N; j++) {
+ printf("%f ", res_dct2[i][j]);
+
+ //if (abs(expect_dct2[i][j] - res_dct2[i][j]) > 0.00001)
+ // test_failed_f(expect_dct2[i][j], res_dct2[i][j]);
+ }
+ printf("\n");
+ }
+ printf("Expected\n");
+ for (i = 0; i < M; i++) {
+ for (j = 0; j < N; j++) {
+ printf("%f ", expect_dct2[i][j]);
+
+ //if (abs(expect_dct2[i][j] - res_dct2[i][j]) > 0.00001)
+ // test_failed_f(expect_dct2[i][j], res_dct2[i][j]);
+ }
+ printf("\n");
+ }
+ */
+ for (i = 0; i < M; i++) {
+ for (j = 0; j < N; j++) {
+
+ if (abs(expect_dct2[i][j] - res_dct2[i][j]) > 0.00001)
+ test_failed_f(expect_dct2[i][j], res_dct2[i][j]);
+ }
+
+ }
+
+
+
+ dct_cfg_free(dct_cfg_m);
+ dct_cfg_free(dct_cfg_n);
+ test("idct2");
+
+ codec2_dct_cfg idct_cfg_n = idct_config(N);
+ codec2_dct_cfg idct_cfg_m = idct_config(M);
+
+
+ float expect_idct2[3][4] = {
+ {1, 2, 3, 4},
+ {5, 6, 7, 8},
+ {3, 1, 2, 3}
+ };
+
+
+ float res_idct2[M][N];
+ idct2(idct_cfg_m, idct_cfg_n, M, N, res_dct2, res_idct2);
+
+ for (i = 0; i < M; i++) {
+ for (j = 0; j < N; j++) {
+ //printf("Result = %f \n", res_idct2[i][j]);
+ //printf("Expected = %f\n", expect_idct2[i][j]);
+ if (abs(expect_idct2[i][j] - res_idct2[i][j]) > 0.00001)
+ test_failed_f(expect_idct2[i][j], res_idct2[i][j]);
+ }
+ }
+
+ dct_cfg_free(idct_cfg_m);
+ dct_cfg_free(idct_cfg_n);
+
+
+ printf("OK!\n");
+}
\ No newline at end of file
diff --git a/libcodec2-android/src/codec2/misc/tdec.c b/libcodec2-android/src/codec2/misc/tdec.c
new file mode 100644
index 0000000..501edc6
--- /dev/null
+++ b/libcodec2-android/src/codec2/misc/tdec.c
@@ -0,0 +1,141 @@
+/*
+ tdec.c
+ David Rowe
+ Jan 2017
+
+ Trivial non filtered decimator for high ration sample rate conversion.
+
+ build: gcc tdec.c -o tdec -Wall -O2
+
+*/
+
+#include
+#include
+#include
+#include
+#include
+#include
+
+#define SIGNED_16BIT 0
+#define SIGNED_8BIT 1
+#define UNSIGNED_8BIT 2
+
+void freq_shift_complex_buf(short buf[], int n, int lo_i[], int lo_q[]);
+
+void display_help(void) {
+ fprintf(stderr, "\nusage: tdec inputRawFile OutputRawFile DecimationRatio [-c]\n");
+ fprintf(stderr, "\nUse - for stdin/stdout\n\n");
+ fprintf(stderr, "-c complex signed 16 bit input and output\n");
+ fprintf(stderr, "-d complex signed 8 bit input (e.g. HackRF), complex signed 16 bit output\n");
+ fprintf(stderr, "-e complex unsigned 8 bit input (e.g. RTL-SDR), complex signed 16 bit output\n");
+ fprintf(stderr, "-f -Fs/4 freq shift\n\n");
+}
+
+int main(int argc, char *argv[]) {
+ FILE *fin, *fout;
+ short dec;
+ int lo_i[3], lo_q[3];
+
+ if (argc < 3) {
+ display_help();
+ exit(1);
+ }
+
+ if (strcmp(argv[1], "-") == 0)
+ fin = stdin;
+ else
+ fin = fopen(argv[1], "rb");
+ assert(fin != NULL);
+
+ if (strcmp(argv[2], "-") == 0)
+ fout = stdout;
+ else
+ fout = fopen(argv[2], "wb");
+ assert(fout != NULL);
+
+ dec = atoi(argv[3]);
+
+ int channels = 1;
+ int freq_shift = 0;
+ lo_i[0] = -1; lo_i[1] = 0;
+ lo_q[0] = 0; lo_q[1] = -1;
+ int opt;
+ int format = SIGNED_16BIT;
+ while ((opt = getopt(argc, argv, "cdef")) != -1) {
+ switch (opt) {
+ case 'c': channels = 2; break;
+ case 'd': channels = 2; format = SIGNED_8BIT; break;
+ case 'e': channels = 2; format = UNSIGNED_8BIT; break;
+ case 'f': freq_shift = 1; break;
+ default:
+ display_help();
+ exit(1);
+ }
+ }
+
+ if (format == SIGNED_16BIT) {
+ short buf[dec*channels];
+ while(fread(buf, sizeof(short)*channels, dec, fin) == dec) {
+ if (freq_shift)
+ freq_shift_complex_buf(buf, dec*channels, lo_i, lo_q);
+ fwrite(buf, sizeof(short), channels, fout);
+ }
+ }
+ else {
+ uint8_t inbuf[dec*channels];
+ short outbuf[dec*channels];
+ short sam, i;
+
+ while(fread(inbuf, sizeof(uint8_t)*channels, dec, fin) == dec) {
+ for (i=0; i
+#include
+#include
+#include
+
+#define FS 8000
+
+int main(int argc, char *argv[]) {
+ short buf[FS] = {0};
+ float f0, n0;
+
+ if (argc < 2) {
+ printf("usage: %s f0 n0 [filter]\n", argv[0]);
+ exit(1);
+ }
+ else {
+ f0 = atof(argv[1]);
+ n0 = atof(argv[2]);
+ }
+ float Wo = 2.0*M_PI*f0/FS;
+ int L = M_PI/Wo;
+
+ for(int i=0; i.
+*/
+
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+
+#include "defines.h"
+#include "sine.h"
+#include "interp.h"
+
+void make_amp(MODEL *model, float f0, float cdB, float mdBHz)
+{
+ int i;
+ float mdBrad = mdBHz*FS/TWO_PI;
+
+ model->Wo = f0*TWO_PI/FS;
+ model->L = PI/model->Wo;
+ for(i=0; i<=model->L; i++)
+ model->A[i] = pow(10.0,(cdB + (float)i*model->Wo*mdBrad)/20.0);
+ model->voiced = 1;
+}
+
+void write_amp(char file[], MODEL *model)
+{
+ FILE *f;
+ int i;
+
+ f = fopen(file,"wt");
+ for(i=1; i<=model->L; i++)
+ fprintf(f, "%f\t%f\n", model->Wo*i, model->A[i]);
+ fclose(f);
+}
+
+const char *get_next_float(const char *s, float *num)
+{
+ const char *p = s;
+ char tmp[MAX_STR];
+
+ while(*p && !isspace(*p))
+ p++;
+ assert((p-s) < (int)(sizeof(tmp)-1));
+ memcpy(tmp, s, p-s);
+ tmp[p-s] = 0;
+ *num = atof(tmp);
+
+ return p+1;
+}
+
+const char *get_next_int(const char *s, int *num)
+{
+ const char *p = s;
+ char tmp[MAX_STR];
+
+ while(*p && !isspace(*p))
+ p++;
+ assert((p-s) < (int)(sizeof(tmp)-1));
+ memcpy(tmp, s, p-s);
+ tmp[p-s] = 0;
+ *num = atoi(tmp);
+
+ return p+1;
+}
+
+void load_amp(MODEL *model, const char * file, int frame)
+{
+ FILE *f;
+ int i;
+ char s[1024];
+ const char *ps;
+
+ f = fopen(file,"rt");
+ assert(f);
+
+ for(i=0; iWo);
+ ps = get_next_int(ps, &model->L);
+ for(i=1; i<=model->L; i++)
+ ps = get_next_float(ps, &model->A[i]);
+
+ fclose(f);
+}
+
+void load_or_make_amp(MODEL *model,
+ const char * filename, int frame,
+ float f0, float cdB, float mdBHz)
+{
+ struct stat buf;
+ int rc = stat(filename, &buf);
+ if (rc || !S_ISREG(buf.st_mode) || ((buf.st_mode & S_IRUSR) != S_IRUSR))
+ {
+ make_amp(model, f0, cdB, mdBHz);
+ }
+ else
+ {
+ load_amp(model, filename, frame);
+ }
+}
+int main() {
+ MODEL prev, next, interp;
+
+ load_or_make_amp(&prev,
+ "../src/hts1a_model.txt", 32,
+ 50.0, 60.0, 6E-3);
+ load_or_make_amp(&next,
+ "../src/hts1a_model.txt", 34,
+ 50.0, 40.0, 6E-3);
+
+ interp.voiced = 1;
+ interpolate(&interp, &prev, &next);
+
+ write_amp("tinterp_prev.txt", &prev);
+ write_amp("tinterp_interp.txt", &interp);
+ write_amp("tinterp_next.txt", &next);
+
+ return 0;
+}
diff --git a/libcodec2-android/src/codec2/misc/tlininterp.c b/libcodec2-android/src/codec2/misc/tlininterp.c
new file mode 100644
index 0000000..7db6791
--- /dev/null
+++ b/libcodec2-android/src/codec2/misc/tlininterp.c
@@ -0,0 +1,153 @@
+/*
+ tlininterp.c
+ David Rowe
+ Jan 2017
+
+ Fast linear interpolator for high oversampling rates. Upsample
+ with a decent filter first such that the signal is "low pass" wrt
+ to the input sample rate.
+
+ build: gcc tlininterp.c -o tlininterp -Wall -O2
+
+*/
+
+#include
+#include
+#include
+#include
+#include
+#include
+
+#define NBUF 1000
+#define SIGNED_16BIT 0
+#define SIGNED_8BIT 1
+
+void display_help(void) {
+ fprintf(stderr, "\nusage: tlininterp inputRawFile OutputRawFile OverSampleRatio [-c]\n");
+ fprintf(stderr, "\nUse - for stdin/stdout\n\n");
+ fprintf(stderr, "-c complex signed 16 bit input and output\n");
+ fprintf(stderr, "-d complex signed 16 bit input, complex signed 8 bit output\n");
+ fprintf(stderr, "-f +Fs/4 freq shift\n\n");
+}
+
+int main(int argc, char *argv[]) {
+ FILE *fin, *fout;
+ short left[2], right[2], out[2*NBUF], i;
+ float oversample, t;
+ int8_t out_s8[2*NBUF];
+ int lo_i[3], lo_q[3];
+
+ if (argc < 3) {
+ display_help();
+ exit(1);
+ }
+
+ if (strcmp(argv[1], "-") == 0)
+ fin = stdin;
+ else
+ fin = fopen(argv[1], "rb");
+ assert(fin != NULL);
+
+ if (strcmp(argv[2], "-") == 0)
+ fout = stdout;
+ else
+ fout = fopen(argv[2], "wb");
+ assert(fout != NULL);
+
+ oversample = atof(argv[3]);
+ if (oversample <= 1) {
+ display_help();
+ exit(1);
+ }
+
+ int channels = 1;
+ int freq_shift = 0;
+ lo_i[0] = -1; lo_i[1] = 0;
+ lo_q[0] = 0; lo_q[1] = -1;
+ int format = SIGNED_16BIT;
+ int opt;
+ while ((opt = getopt(argc, argv, "cdf")) != -1) {
+ switch (opt) {
+ case 'c': channels = 2; break;
+ case 'd': channels = 2; format = SIGNED_8BIT; break;
+ case 'f': freq_shift = 1; break;
+ default:
+ display_help();
+ exit(1);
+ }
+ }
+
+ for (i=0; i> 8;
+ }
+ fwrite(&out_s8, sizeof(int8_t)*channels, NBUF, fout);
+ }
+ j = 0;
+ }
+
+ t += 1.0/oversample;
+ }
+
+ t -= 1.0;
+ for (i=0; i> 8;
+ }
+ fwrite(&out_s8, sizeof(int8_t)*channels, j, fout);
+ }
+
+ fclose(fout);
+ fclose(fin);
+
+ return 0;
+}
diff --git a/libcodec2-android/src/codec2/misc/tnlp.c b/libcodec2-android/src/codec2/misc/tnlp.c
new file mode 100644
index 0000000..35e2ea4
--- /dev/null
+++ b/libcodec2-android/src/codec2/misc/tnlp.c
@@ -0,0 +1,164 @@
+/*---------------------------------------------------------------------------*\
+
+ FILE........: tnlp.c
+ AUTHOR......: David Rowe
+ DATE CREATED: 23/3/93
+
+ Test program for non linear pitch estimation functions.
+
+\*---------------------------------------------------------------------------*/
+
+/*
+ Copyright (C) 2009 David Rowe
+
+ All rights reserved.
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License version 2.1, as
+ published by the Free Software Foundation. This program is
+ distributed in the hope that it will be useful, but WITHOUT ANY
+ WARRANTY; without even the implied warranty of MERCHANTABILITY or
+ FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
+ License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with this program; if not, see .
+*/
+
+
+#include
+#include
+#include
+#include
+
+#include "defines.h"
+#include "dump.h"
+#include "sine.h"
+#include "nlp.h"
+#include "kiss_fft.h"
+
+int frames;
+
+/*---------------------------------------------------------------------------*\
+
+ switch_present()
+
+ Searches the command line arguments for a "switch". If the switch is
+ found, returns the command line argument where it ws found, else returns
+ NULL.
+
+\*---------------------------------------------------------------------------*/
+
+int switch_present(sw,argc,argv)
+ char sw[]; /* switch in string form */
+ int argc; /* number of command line arguments */
+ char *argv[]; /* array of command line arguments in string form */
+{
+ int i; /* loop variable */
+
+ for(i=1; i
+#include
+#include
+#include
+#include "lpc.h"
+
+#define N 10
+#define F 10
+
+int main() {
+ FILE *fprede;
+ float Sn[N], Sn_pre[N], Sn_de[N];
+ float pre_mem = 0.0, de_mem = 0.0;
+ int i, f;
+
+ fprede = fopen("prede.txt", "wt");
+ assert(fprede != NULL);
+
+ for(i=0; i.
+*/
+
+#include
+#include
+#include
+#include
+#include
+
+#include "defines.h"
+#include "dump.h"
+#include "quantise.h"
+
+int test_Wo_quant();
+int test_lsp_quant();
+int test_lsp(int lsp_number, int levels, float max_error_hz);
+int test_energy_quant(int levels, float max_error_dB);
+
+int main() {
+ quantise_init();
+ test_Wo_quant();
+ test_lsp_quant();
+ test_energy_quant(E_LEVELS, 0.5*(E_MAX_DB - E_MIN_DB)/E_LEVELS);
+
+ return 0;
+}
+
+int test_lsp_quant() {
+ test_lsp( 1, 16, 12.5);
+ test_lsp( 2, 16, 12.5);
+ test_lsp( 3, 16, 25);
+ test_lsp( 4, 16, 50);
+ test_lsp( 5, 16, 50);
+ test_lsp( 6, 16, 50);
+ test_lsp( 7, 16, 50);
+ test_lsp( 8, 8, 50);
+ test_lsp( 9, 8, 50);
+ test_lsp(10, 4, 100);
+
+ return 0;
+}
+
+int test_energy_quant(int levels, float max_error_dB) {
+ FILE *fe;
+ float e,e_dec, error, low_e, high_e;
+ int index, index_in, index_out, i;
+
+ /* check 1:1 match between input and output levels */
+
+ for(i=0; i max_error_dB) {
+ printf("error: %f %f\n", error, max_error_dB);
+ exit(0);
+ }
+ }
+
+ fclose(fe);
+ return 0;
+}
+
+int test_lsp(int lsp_number, int levels, float max_error_hz) {
+ float lsp[LPC_ORD];
+ int indexes_in[LPC_ORD];
+ int indexes_out[LPC_ORD];
+ int indexes[LPC_ORD];
+ int i;
+ float lowf, highf, f, error;
+ char s[MAX_STR];
+ FILE *flsp;
+ float max_error_rads;
+
+ lsp_number--;
+ max_error_rads = max_error_hz*TWO_PI/FS;
+
+ for(i=0; i max_error_rads) {
+ printf("%d error: %f %f\n", lsp_number+1, error, max_error_rads);
+ exit(0);
+ }
+ }
+
+ fclose(flsp);
+
+ printf("OK\n");
+
+ return 0;
+}
+
+int test_Wo_quant() {
+ int c;
+ FILE *f;
+ float Wo,Wo_dec, error, step_size;
+ int index, index_in, index_out;
+
+ /* output Wo quant curve for plotting */
+
+ f = fopen("quant_pitch.txt","wt");
+
+ for(Wo=0.9*(TWO_PI/P_MAX); Wo<=1.1*(TWO_PI/P_MIN); Wo += 0.001) {
+ index = encode_Wo(Wo, WO_BITS);
+ fprintf(f, "%f %d\n", Wo, index);
+ }
+
+ fclose(f);
+
+ /* check for all Wo codes we get 1:1 match between encoder
+ and decoder Wo levels */
+
+ for(c=0; c (step_size/2.0)) {
+ printf("error: %f step_size/2: %f\n", error, step_size/2.0);
+ exit(0);
+ }
+ fprintf(f,"%f\n",error);
+ }
+ printf("OK\n");
+
+ fclose(f);
+ return 0;
+}
diff --git a/libcodec2-android/src/codec2/misc/tsrc.c b/libcodec2-android/src/codec2/misc/tsrc.c
new file mode 100644
index 0000000..6791b51
--- /dev/null
+++ b/libcodec2-android/src/codec2/misc/tsrc.c
@@ -0,0 +1,109 @@
+/*
+ tsrc.c
+ David Rowe
+ Sat Nov 3 2012
+
+ Unit test for libresample code.
+
+ build: gcc tsrc.c -o tsrc -lm -lsamplerate
+
+ */
+
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+
+#define N 10000 /* processing buffer size */
+
+void display_help(void) {
+ fprintf(stderr, "\nusage: tsrc inputRawFile OutputRawFile OutSampleRatio [-l] [-c]\n");
+ fprintf(stderr, "\nUse - for stdin/stdout\n\n");
+ fprintf(stderr, "-l fast linear resampler\n");
+ fprintf(stderr, "-c complex (two channel) resampling\n\n");
+}
+
+int main(int argc, char *argv[]) {
+ FILE *fin, *fout;
+ short in_short[N], out_short[N];
+ float in[N], out[N];
+ SRC_STATE *src;
+ SRC_DATA data;
+ int error, nin, nremaining, i;
+
+ if (argc < 3) {
+ display_help();
+ exit(1);
+ }
+
+ if (strcmp(argv[1], "-") == 0)
+ fin = stdin;
+ else
+ fin = fopen(argv[1], "rb");
+ assert(fin != NULL);
+
+ if (strcmp(argv[2], "-") == 0)
+ fout = stdout;
+ else
+ fout = fopen(argv[2], "wb");
+ assert(fout != NULL);
+
+ data.data_in = in;
+ data.data_out = out;
+ data.end_of_input = 0;
+ data.src_ratio = atof(argv[3]);
+
+ int channels = 1;
+ int resampler = SRC_SINC_FASTEST;
+ int opt;
+ while ((opt = getopt(argc, argv, "lc")) != -1) {
+ switch (opt) {
+ case 'l': resampler = SRC_LINEAR; break;
+ case 'c': channels = 2; break;
+ default:
+ display_help();
+ exit(1);
+ }
+ }
+
+ data.input_frames = N/channels;
+ data.output_frames = N/channels;
+
+ src = src_new(resampler, channels, &error);
+ assert(src != NULL);
+
+ int total_in = 0;
+ int total_out = 0;
+
+ nin = data.input_frames;
+ nremaining = 0;
+ while(fread(&in_short[nremaining*channels], sizeof(short)*channels, nin, fin) == nin) {
+ src_short_to_float_array(in_short, in, N);
+ error = src_process(src, &data);
+ assert(error == 0);
+ src_float_to_short_array(out, out_short, data.output_frames_gen*channels);
+
+ fwrite(out_short, sizeof(short), data.output_frames_gen*channels, fout);
+ if (fout == stdout) fflush(stdout);
+
+ nremaining = data.input_frames - data.input_frames_used;
+ nin = data.input_frames_used;
+ //fprintf(stderr, "input frames: %d output_frames %d nremaining: %d\n",
+ // (int)data.input_frames_used, (int)data.output_frames_gen, nremaining);
+ for(i=0; i
+#include
+#include
+#include
+#include
+#include
+#include "mbest.h"
+
+#define MAX_K 20
+#define MAX_ENTRIES 4096
+#define MAX_STAGES 5
+
+void quant_pred_mbest(float vec_out[],
+ int indexes[],
+ float vec_in[],
+ int num_stages,
+ float vq[],
+ int m[], int k,
+ int mbest_survivors);
+
+int verbose = 0;
+
+int main(int argc, char *argv[]) {
+ float vq[MAX_STAGES*MAX_K*MAX_ENTRIES];
+ int m[MAX_STAGES];
+ int k=0, mbest_survivors=0, num_stages=0;
+ char fnames[256], fn[256], *comma, *p;
+ FILE *fq;
+ float lower = -1E32;
+
+ int o = 0; int opt_idx = 0;
+ while (o != -1) {
+ static struct option long_opts[] = {
+ {"k", required_argument, 0, 'q'},
+ {"quant", required_argument, 0, 'q'},
+ {"mbest", required_argument, 0, 'm'},
+ {"lower", required_argument, 0, 'l'},
+ {"verbose", required_argument, 0, 'v'},
+ {0, 0, 0, 0}
+ };
+
+ o = getopt_long(argc,argv,"hk:q:m:v",long_opts,&opt_idx);
+ switch (o) {
+ case 'k':
+ k = atoi(optarg);
+ assert(k < MAX_K);
+ break;
+ case 'q':
+ /* load up list of comma delimited file names */
+ strcpy(fnames, optarg);
+ p = fnames;
+ num_stages = 0;
+ do {
+ assert(num_stages < MAX_STAGES);
+ strcpy(fn, p);
+ comma = strchr(fn, ',');
+ if (comma) {
+ *comma = 0;
+ p = comma+1;
+ }
+ /* load quantiser file */
+ fprintf(stderr, "stage: %d loading %s ...", num_stages, fn);
+ fq=fopen(fn, "rb");
+ if (fq == NULL) {
+ fprintf(stderr, "Couldn't open: %s\n", fn);
+ exit(1);
+ }
+ /* count how many entries m of dimension k are in this VQ file */
+ m[num_stages] = 0;
+ float dummy[k];
+ while (fread(dummy, sizeof(float), k, fq) == (size_t)k)
+ m[num_stages]++;
+ assert(m[num_stages] <= MAX_ENTRIES);
+ fprintf(stderr, "%d entries of vectors width %d\n", m[num_stages], k);
+ /* now load VQ into memory */
+ rewind(fq);
+ int rd = fread(&vq[num_stages*k*MAX_ENTRIES], sizeof(float), m[num_stages]*k, fq);
+ assert(rd == m[num_stages]*k);
+ num_stages++;
+ fclose(fq);
+ } while(comma);
+ break;
+ case 'm':
+ mbest_survivors = atoi(optarg);
+ fprintf(stderr, "mbest_survivors = %d\n", mbest_survivors);
+ break;
+ case 'l':
+ lower = atof(optarg);
+ break;
+ case 'v':
+ verbose = 1;
+ break;
+ help:
+ fprintf(stderr, "usage: %s -k dimension -q vq1.f32,vq2.f32,.... [-m mbest_survivors] [--lower lowermeanLimit]\n", argv[0]);
+ fprintf(stderr, "input vectors on stdin, output quantised vectors on stdout\n");
+ fprintf(stderr, "--mbest number of survivors at each stage, set to 0 for standard VQ search\n");
+ exit(1);
+ }
+ }
+
+ if ((num_stages == 0) || (k == 0))
+ goto help;
+
+ int indexes[num_stages], nvecs = 0;
+ float target[k], quantised[k];
+ float sqe = 0.0;
+ while(fread(&target, sizeof(float), k, stdin)) {
+ int dont_count = 0;
+ /* optional clamping to lower limit or mean */
+ float mean = 0.0;
+ for(int i=0; ilist[j].index[s1];
+ }
+ /* target is residual err[] vector given path to this candidate */
+ for(i=0; ilist[0].index[num_stages-1-s];
+ }
+
+ /* OK put it all back together using best survivor */
+ for(i=0; i.
+*/
+
+
+#ifdef VALGRIND
+#include
+#endif
+
+#include
+#include
+#include
+#include
+
+#define MIN(a,b) ((a)<(b)?(a):(b))
+#define COEF 0.0f
+#define MAX_ENTRIES 16384
+
+void compute_weights(const float *x, float *w, int ndim)
+{
+ int i;
+ w[0] = MIN(x[0], x[1]-x[0]);
+ for (i=1;i.
+*/
+
+/*-----------------------------------------------------------------------*\
+
+ INCLUDES
+
+\*-----------------------------------------------------------------------*/
+
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+
+/*-----------------------------------------------------------------------*\
+
+ DEFINES
+
+\*-----------------------------------------------------------------------*/
+
+#define DELTAQ 0.005 /* quiting distortion */
+#define MAX_STR 80 /* maximum string length */
+
+/*-----------------------------------------------------------------------*\
+
+ FUNCTION PROTOTYPES
+
+\*-----------------------------------------------------------------------*/
+
+void zero(float v[], int k);
+void acc(float v1[], float v2[], int k);
+void norm(float v[], int k, long n);
+long quantise(float cb[], float vec[], int k, int m, float *beste, float *se);
+
+/*-----------------------------------------------------------------------* \
+
+ MAIN
+
+\*-----------------------------------------------------------------------*/
+
+int main(int argc, char *argv[]) {
+ long k,m; /* dimension and codebook size */
+ float *vec; /* current vector */
+ float *cb; /* vector codebook */
+ float *cent; /* centroids for each codebook entry */
+ long *n; /* number of vectors in this interval */
+ long J; /* number of vectors in training set */
+ long i,j;
+ long ind; /* index of current vector */
+ float e; /* sqaured error for current vector */
+ float se; /* squared error for this iteration */
+ float var,var_1; /* current and previous iterations distortion */
+ float delta; /* improvement in distortion */
+ long noutliers[3];/* number of vectors quantisers with > 3*sd */
+ FILE *ftrain; /* file containing training set */
+ FILE *fvq; /* file containing vector quantiser */
+ int ret;
+ float deltaq_stop = DELTAQ;
+ FILE *fres = NULL;
+
+ int o = 0;
+ int opt_idx = 0;
+ while( o != -1 ) {
+ static struct option long_opts[] = {
+ {"help", no_argument, 0, 'h'},
+ {"residual", required_argument, 0, 'r'},
+ {"stop", required_argument, 0, 's'},
+ {0, 0, 0, 0}
+ };
+
+ o = getopt_long(argc,argv,"hr:s:",long_opts,&opt_idx);
+
+ switch(o) {
+ case 'r':
+ fres = fopen(optarg,"wb"); assert(fres != NULL);
+ //fprintf(stderr, "writing res to : %s \n", optarg);
+ break;
+ case 's':
+ deltaq_stop = atof(optarg);
+ //fprintf(stderr, "deltaq_stop :%f\n", deltaq_stop);
+ break;
+ case 'h':
+ case '?':
+ goto helpmsg;
+ break;
+ }
+ }
+ int dx = optind;
+
+ //fprintf(stderr, "argc: %d dx: %d\n", argc, dx);
+ if ((argc - dx) < 4) {
+ fprintf(stderr, "Too few arguments\n");
+ helpmsg:
+ fprintf(stderr, "usage: %s [Options] TrainFile.f32 K(dimension) M(codebook size) VQFile.f32\n", argv[0]);
+ fprintf(stderr, " -r --residual VQResidualErrorFile.f32usage\n");
+ fprintf(stderr, " -s --stop StopDelta\n");
+ exit(1);
+ }
+
+ /* Open training file */
+
+ ftrain = fopen(argv[dx],"rb");
+ if (ftrain == NULL) {
+ printf("Error opening training database file: %s\n",argv[dx]);
+ exit(1);
+ }
+
+ /* determine k and m, and allocate arrays */
+
+ k = atol(argv[dx+1]);
+ m = atol(argv[dx+2]);
+ printf("vector dimension K=%ld codebook size M=%ld ", k, m);
+ vec = (float*)malloc(sizeof(float)*k);
+ cb = (float*)malloc(sizeof(float)*k*m);
+ cent = (float*)malloc(sizeof(float)*k*m);
+ n = (long*)malloc(sizeof(long)*m);
+ if (cb == NULL || cb == NULL || cent == NULL || vec == NULL) {
+ printf("Error in malloc.\n");
+ exit(1);
+ }
+
+ /* determine size of training set */
+
+ J = 0; zero(cent, k);
+ while(fread(vec, sizeof(float), k, ftrain) == (size_t)k) {
+ J++;
+ acc(cent, vec, k);
+ }
+ printf("J=%ld vectors in training set\n", J);
+
+ /* Interation is a 0 bit VQ (i.e. mean of training set) as starting point */
+
+ norm(cent, k, J);
+ memcpy(cb, cent, k*sizeof(float));
+ se = 0.0;
+ rewind(ftrain);
+ for(i=0; i 1.0) noutliers[0]++;
+ if (sqrt(e/k) > 2.0) noutliers[1]++;
+ if (sqrt(e/k) > 3.0) noutliers[2]++;
+ }
+ var = se/(J*k);
+ delta = (var_1-var)/var;
+
+ printf("\r It: %ld, var: %f sd: %f outliers > 1/2/3 dB = %3.2f/%f3.2/%3.2f Delta = %5.4f\n", j, var, sqrt(var),
+ (float)noutliers[0]/J, (float)noutliers[1]/J, (float)noutliers[2]/J, delta);
+ j++;
+
+ /* determine new codebook from centroids */
+
+ if (delta > deltaq_stop)
+ for(i=0; i deltaq_stop);
+
+ /* save VQ to disk */
+
+ fvq = fopen(argv[dx+3],"wt");
+ if (fvq == NULL) {
+ printf("Error opening VQ file: %s\n",argv[dx+3]);
+ exit(1);
+ }
+
+ fwrite(cb, sizeof(float), m*k, fvq);
+
+ /* optionally output residual error for next stage VQ */
+
+ if (fres != NULL) {
+ float res[k];
+ rewind(ftrain);
+ for(j=0; j
+# name: HRA_112_112
+# type: matrix
+# rows: 112
+# columns: 224
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diff --git a/libcodec2-android/src/codec2/octave/HRA_504_396.txt b/libcodec2-android/src/codec2/octave/HRA_504_396.txt
new file mode 100644
index 0000000..464ae61
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/HRA_504_396.txt
@@ -0,0 +1,108 @@
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diff --git a/libcodec2-android/src/codec2/octave/HRA_56_28.txt b/libcodec2-android/src/codec2/octave/HRA_56_28.txt
new file mode 100644
index 0000000..ae76248
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/HRA_56_28.txt
@@ -0,0 +1,35 @@
+# Created by Octave 3.8.1, Wed Mar 15 18:20:20 2017 ACDT
+# name: HRA_56_28
+# type: matrix
+# rows: 28
+# columns: 84
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+ 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
+
+
diff --git a/libcodec2-android/src/codec2/octave/HRA_56_56.txt b/libcodec2-android/src/codec2/octave/HRA_56_56.txt
new file mode 100644
index 0000000..8a18f2d
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/HRA_56_56.txt
@@ -0,0 +1,63 @@
+# Created by Octave 3.8.1, Wed Mar 15 18:12:09 2017 ACDT
+# name: HRA_56_56
+# type: matrix
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+
+
diff --git a/libcodec2-android/src/codec2/octave/Mat2Hrows.m b/libcodec2-android/src/codec2/octave/Mat2Hrows.m
new file mode 100644
index 0000000..6cbd1d5
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/Mat2Hrows.m
@@ -0,0 +1,28 @@
+function [Hrows Hcols] = Mat2Hrows(HRA, RAmode);
+
+H = full(HRA);
+[Nr Nc] = size(H);
+
+if nargin==1, RAmode = 1; end;
+
+if RAmode==1
+ H= H(:,1:Nc-Nr);
+ [Nr Nc] = size(H);
+end
+
+Max_colwt = max(sum(H));
+Max_rowwt = max(sum(H'));
+Hcols = zeros(Nc, Max_colwt);
+Hrows = zeros(Nr, Max_rowwt);
+
+for i = 1:Nr
+ nz = find(H(i,:));
+ Hrows(i,1:length(nz)) = nz;
+end
+
+H = H';
+for i = 1:Nc
+ nz = find(H(i,:));
+ Hcols(i,1:length(nz)) = nz;
+end
+
diff --git a/libcodec2-android/src/codec2/octave/autotest.m b/libcodec2-android/src/codec2/octave/autotest.m
new file mode 100644
index 0000000..4afda42
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/autotest.m
@@ -0,0 +1,119 @@
+% autotest.m
+% David Rowe Mar 2015
+%
+% Helper functions to plot output of C verson and difference between Octave and C versions
+
+1;
+
+function stem_sig_and_error(plotnum, subplotnum, sig, error, titlestr, axisvec)
+ global no_plot_list;
+
+ if find(no_plot_list == plotnum)
+ return;
+ end
+
+ figure(plotnum)
+ subplot(subplotnum)
+ stem(sig,'g;Octave version;');
+ hold on;
+ stem(error,'r;Octave - C version (hopefully 0);');
+ hold off;
+ if nargin == 6
+ axis(axisvec);
+ end
+ title(titlestr);
+endfunction
+
+
+function plot_sig_and_error(plotnum, subplotnum, sig, error, titlestr, axisvec)
+ global no_plot_list;
+
+ if find(no_plot_list == plotnum)
+ return;
+ end
+
+ figure(plotnum)
+ subplot(subplotnum)
+ plot(sig,'g;Octave version;');
+ hold on;
+ plot(error,'r;Octave - C version (hopefully 0);');
+ hold off;
+ if nargin == 6
+ axis(axisvec);
+ end
+ title(titlestr);
+endfunction
+
+
+function pass = check(a, b, test_name, tol, its_an_angle = 0)
+ global passes;
+ global fails;
+
+ if nargin == 3
+ tol = 1E-3;
+ end
+
+ [m n] = size(a);
+ if m > n
+ ll = m;
+ else
+ ll = n;
+ end
+
+ printf("%s", test_name);
+ for i=1:(25-length(test_name))
+ printf(".");
+ end
+ printf(": ");
+
+ if its_an_angle
+ % take into account pi is close to -pi for angles in rads
+ e = sum(sum(abs(exp(j*a) - exp(j*b)))/ll);
+ else
+ e = sum(sum(abs(a - b))/ll);
+ end
+
+ if e < tol
+ printf("OK\n");
+ pass = true;
+ passes++;
+ else
+ printf("FAIL (%f)\n",e);
+ pass = false;
+ fails++;
+ end
+endfunction
+
+function pass = check_no_abs(a, b, test_name)
+ global passes;
+ global fails;
+
+ tol = 1E-3;
+
+ [m n] = size(a);
+ if m > n
+ ll = m;
+ else
+ ll = n;
+ end
+
+ printf("%s", test_name);
+ for i=1:(25-length(test_name))
+ printf(".");
+ end
+ printf(": ");
+
+ e = sum(sum(a - b)/ll);
+
+ if e < tol
+ pass = true;
+ printf("OK\n");
+ passes++;
+ else
+ pass = false;
+ printf("FAIL (%f)\n",e);
+ fails++;
+ end
+endfunction
+
+
diff --git a/libcodec2-android/src/codec2/octave/c2wideband_map b/libcodec2-android/src/codec2/octave/c2wideband_map
new file mode 100644
index 0000000..946aa19
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/c2wideband_map
@@ -0,0 +1,8 @@
+ 1.00000000e+00 3.00000000e+00 7.00000000e+00 8.00000000e+00 1.10000000e+01 1.50000000e+01 1.90000000e+01 2.60000000e+01 2.10000000e+01 2.40000000e+01 2.00000000e+01 3.00000000e+01 3.80000000e+01 4.80000000e+01 2.90000000e+01 3.20000000e+01 4.20000000e+01 6.40000000e+01 6.30000000e+01 5.40000000e+01 5.60000000e+01 5.00000000e+01 7.20000000e+01 9.10000000e+01 7.80000000e+01 6.70000000e+01 5.70000000e+01 7.00000000e+01 7.60000000e+01 1.04000000e+02
+ 2.00000000e+00 5.00000000e+00 1.20000000e+01 2.20000000e+01 2.30000000e+01 3.30000000e+01 3.10000000e+01 4.30000000e+01 3.40000000e+01 3.90000000e+01 4.40000000e+01 4.10000000e+01 4.90000000e+01 6.00000000e+01 5.10000000e+01 7.70000000e+01 9.70000000e+01 9.00000000e+01 1.14000000e+02 8.10000000e+01 1.21000000e+02 1.13000000e+02 8.00000000e+01 9.90000000e+01 1.18000000e+02 1.09000000e+02 8.90000000e+01 1.02000000e+02 1.07000000e+02 1.19000000e+02
+ 4.00000000e+00 9.00000000e+00 1.60000000e+01 2.70000000e+01 4.00000000e+01 4.50000000e+01 4.70000000e+01 5.50000000e+01 4.60000000e+01 6.10000000e+01 6.50000000e+01 6.60000000e+01 7.50000000e+01 8.30000000e+01 6.80000000e+01 1.06000000e+02 9.40000000e+01 1.27000000e+02 1.36000000e+02 1.38000000e+02 1.37000000e+02 1.41000000e+02 8.80000000e+01 1.50000000e+02 1.59000000e+02 1.47000000e+02 1.33000000e+02 1.28000000e+02 1.90000000e+02 1.31000000e+02
+ 6.00000000e+00 1.80000000e+01 2.80000000e+01 5.20000000e+01 8.40000000e+01 6.20000000e+01 7.30000000e+01 7.90000000e+01 7.10000000e+01 9.80000000e+01 8.50000000e+01 9.30000000e+01 8.70000000e+01 1.12000000e+02 1.15000000e+02 1.10000000e+02 1.29000000e+02 1.99000000e+02 1.42000000e+02 1.70000000e+02 2.18000000e+02 1.62000000e+02 1.74000000e+02 2.05000000e+02 1.43000000e+02 1.64000000e+02 1.72000000e+02 1.75000000e+02 2.02000000e+02 2.16000000e+02
+ 1.00000000e+01 2.50000000e+01 3.50000000e+01 6.90000000e+01 7.40000000e+01 9.20000000e+01 9.60000000e+01 1.35000000e+02 1.11000000e+02 1.56000000e+02 9.50000000e+01 1.05000000e+02 1.26000000e+02 1.34000000e+02 1.63000000e+02 2.15000000e+02 1.49000000e+02 1.48000000e+02 1.53000000e+02 2.28000000e+02 1.80000000e+02 2.30000000e+02 2.11000000e+02 2.13000000e+02 2.40000000e+02 2.24000000e+02 2.09000000e+02 2.22000000e+02 2.26000000e+02 1.73000000e+02
+ 1.30000000e+01 3.70000000e+01 5.30000000e+01 1.08000000e+02 8.60000000e+01 1.17000000e+02 1.03000000e+02 1.00000000e+02 1.24000000e+02 1.22000000e+02 2.01000000e+02 1.92000000e+02 2.03000000e+02 2.19000000e+02 1.91000000e+02 1.69000000e+02 2.20000000e+02 2.14000000e+02 1.39000000e+02 2.04000000e+02 2.36000000e+02 1.79000000e+02 1.81000000e+02 2.00000000e+02 1.93000000e+02 2.21000000e+02 2.35000000e+02 1.87000000e+02 2.08000000e+02 2.17000000e+02
+ 1.40000000e+01 3.60000000e+01 5.90000000e+01 1.16000000e+02 1.30000000e+02 1.78000000e+02 1.40000000e+02 1.32000000e+02 1.57000000e+02 1.52000000e+02 1.68000000e+02 1.60000000e+02 1.23000000e+02 1.97000000e+02 1.83000000e+02 2.34000000e+02 1.44000000e+02 2.23000000e+02 1.65000000e+02 1.67000000e+02 2.31000000e+02 1.96000000e+02 1.71000000e+02 2.33000000e+02 1.82000000e+02 2.25000000e+02 1.88000000e+02 2.37000000e+02 2.27000000e+02 2.10000000e+02
+ 1.70000000e+01 5.80000000e+01 8.20000000e+01 1.01000000e+02 1.20000000e+02 1.86000000e+02 1.46000000e+02 1.25000000e+02 1.51000000e+02 1.94000000e+02 1.61000000e+02 1.84000000e+02 1.58000000e+02 1.89000000e+02 1.77000000e+02 1.95000000e+02 1.45000000e+02 1.66000000e+02 2.06000000e+02 1.54000000e+02 1.98000000e+02 2.12000000e+02 2.38000000e+02 2.29000000e+02 1.85000000e+02 1.76000000e+02 2.39000000e+02 1.55000000e+02 2.07000000e+02 2.32000000e+02
diff --git a/libcodec2-android/src/codec2/octave/channel_lib.m b/libcodec2-android/src/codec2/octave/channel_lib.m
new file mode 100644
index 0000000..a8906f4
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/channel_lib.m
@@ -0,0 +1,61 @@
+% channel.m
+%
+% Commonly used channel simulation functions
+
+1;
+
+function [spread1 spread2 path_delay_samples] = channel_multipath(channel, Fs, Nsam)
+ % Winlink multipath definitions
+ if strcmp(channel, 'mpg') dopplerSpreadHz = 0.1; path_delay_ms = 0.5;
+ elseif strcmp(channel, 'mpm') dopplerSpreadHz = 0.5; path_delay_ms = 1.0;
+ elseif strcmp(channel, 'mpp') dopplerSpreadHz = 1.0; path_delay_ms = 2.0;
+ elseif strcmp(channel, 'mpd') dopplerSpreadHz = 2.5; path_delay_ms = 4.0;
+ elseif printf("Unknown multipath channel\n"); assert(0); end
+
+ path_delay_samples = path_delay_ms*Fs/1000;
+ printf(" Doppler Spread: %3.2f Hz Path Delay: %3.2f ms %d samples\n", dopplerSpreadHz, path_delay_ms, path_delay_samples);
+
+ % generate same fading pattern for every run
+ spread1 = doppler_spread(dopplerSpreadHz, Fs, Nsam);
+ spread2 = doppler_spread(dopplerSpreadHz, Fs, Nsam);
+
+ % sometimes doppler_spread() doesn't return exactly the number of samples we need
+ if length(spread1) < Nsam
+ printf("not enough doppler spreading samples %d %d\n", length(spread1), Nsam);
+ assert(0);
+ end
+ if length(spread2) < Nsam
+ printf("not enough doppler spreading samples %d %d\n", length(spread2), Nsam);
+ assert(0);
+ end
+endfunction
+
+function rx = channel_simulate(Fs, SNR3kdB, freq_offset_Hz, channel, tx)
+ Nsam = length(tx);
+ rx = tx;
+
+ if strcmp(channel, 'awgn') == 0
+ [spread1 spread2 path_delay_samples] = channel_multipath(channel, Fs, Nsam);
+ rx = tx(1:Nsam) .* spread1(1:Nsam);
+ rx += [zeros(1,path_delay_samples) tx(1:Nsam-path_delay_samples)] .* spread2(1:Nsam);
+ end
+
+ woffset = 2*pi*freq_offset_Hz/Fs;
+ rx = rx .* exp(j*woffset*(1:Nsam));
+
+ rx = real(rx); S = rx*rx';
+ rpapr = 10*log10(max(abs(rx).^2)/mean(abs(rx).^2));
+
+ % SNR in a 4k bandwidth will be lower than 3k as total noise power N is higher
+ SNR4kdB = SNR3kdB - 10*log10(Fs/2) + 10*log10(3000); SNR = 10^(SNR4kdB/10);
+ N = S/SNR; sigma = sqrt(N/Nsam);
+ n = sigma*randn(1,Nsam);
+ % printf("SNR3kdB: %f SNR4kdB: %f N: %f %f\n", SNR3kdB, SNR4kdB, N, n*n');
+ rx += n;
+ % check our sums are OK to within 0.25 dB
+ SNR4kdB_measured = 10*log10(S/(n*n')); assert (abs(SNR4kdB - SNR4kdB_measured) < 0.25);
+ printf("RPAPR: %4.1f meas SNR3k: %3.2f dB\n", rpapr, 10*log10(S/(n*n')) + 10*log10(4000) - 10*log10(3000));
+
+ % add a few seconds of no signal either side
+ rx = [sigma*randn(1,Fs) rx sigma*randn(1,Fs/2)];
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/closed_quant_slope.m b/libcodec2-android/src/codec2/octave/closed_quant_slope.m
new file mode 100644
index 0000000..7d5a465
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/closed_quant_slope.m
@@ -0,0 +1,3 @@
+function b = closed_quant_slope(b)
+ b(1) = max(0.5, b(1));
+end
diff --git a/libcodec2-android/src/codec2/octave/cma.m b/libcodec2-android/src/codec2/octave/cma.m
new file mode 100644
index 0000000..a5a2195
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/cma.m
@@ -0,0 +1,114 @@
+% cma.m
+%
+% Constant modulus equaliser example from:
+%
+% http://dsp.stackexchange.com/questions/23540/matlab-proper-estimation-of-weights-and-how-to-calculate-mse-for-qpsk-signal-f
+%
+% Adapted to run bpsk and fsk signals
+
+ rand('seed',1);
+ randn('seed',1);
+
+ N = 5000; % # symbols
+ h = [1 0 0 0 0 0 0.0 0.5]; % simulation of HF multipath channel impulse response
+ h = h/norm(h);
+ Le = 20; % equalizer length
+ mu = 1E-3; % step size
+ snr = 30; % snr in dB
+ M = 10; % oversample rate, e.g. Rs=400Hz at Fs=8000Hz
+
+ tx_type = "fsk"; % select modulation type here "bpsk" or "fsk"
+
+ if strcmp(tx_type, "bpsk")
+ s0 = round( rand(N,1) )*2 - 1; % BPSK signal
+ s0M = zeros(N*M,1); % oversampled BPSK signal
+ k = 1;
+ for i=1:M:N*M
+ s0M(i:i+M-1) = s0(k);
+ k ++;
+ end
+ end
+
+ if strcmp(tx_type, "fsk")
+ tx_bits = round(rand(1,N));
+
+ % continuous phase FSK modulator
+
+ w1 = pi/4;
+ w2 = pi/2;
+ tx_phase = 0;
+ tx = zeros(M*N,1);
+
+ for i=1:N
+ for k=1:M
+ if tx_bits(i)
+ tx_phase += w2;
+ else
+ tx_phase += w1;
+ end
+ tx((i-1)*M+k) = exp(j*tx_phase);
+ end
+ end
+
+ s0M = tx;
+ end
+
+ s = filter(h,1,s0M); % filtered signal
+
+ % add Gaussian noise at desired snr
+
+ n = randn(N*M,1);
+ vs = var(s);
+ vn = vs*10^(-snr/10);
+ n = sqrt(vn)*n;
+ r = s + n; % received signal
+
+ e = zeros(N*M,1); % error
+ w = zeros(Le,1); % equalizer coefficients
+ w(Le)=1; % actual filter taps are flipud(w)!
+
+ yd = zeros(N*M,1);
+
+ for i = 1:N*M-Le,
+ x = r(i:Le+i-1);
+ y = w'*x;
+ yd(i)=y;
+ e(i) = abs(y).^2 - 1;
+ w = w - mu * e(i) * real(conj(y) * x);
+ end
+
+ np = 100; % # sybmols to plot (last np will be plotted); np < N!
+
+ figure(1); clf;
+ %subplot(211), plot( 1:np, e(N-np+1-Le+1:N-Le+1).*e(N-np+1-Le+1:N-Le+1)), title('error')
+ subplot(211), plot(e.*e), title('error');
+ subplot(212), stem(conv(flipud(w),h)), title('equalized channel impulse response')
+
+ figure(2); clf;
+ subplot(311)
+ plot(1:np, s0M(N-np+1:N))
+ title('transmitted, received, and equalized signal')
+ subplot(312)
+ plot(1:np, r(N-np+1:N))
+ subplot(313)
+ plot(1:np, yd(N-np+1-Le+1:N-Le+1))
+
+ figure(3); clf;
+ h1 = freqz(h);
+ h2 = freqz(flipud(w));
+ h3 = freqz(conv(flipud(w),h));
+ subplot(311); plot(20*log10(abs(h1)));
+ title('channel, equaliser, combined freq resp')
+ subplot(312); plot(20*log10(abs(h2)));
+ subplot(313); plot(20*log10(abs(h3)));
+
+ figure(4);
+ subplot(211)
+ plot(20*log10(abs(fft(s0M))))
+ axis([1 length(s0M) 0 80]);
+ grid;
+ subplot(212)
+ plot(20*log10(abs(fft(s))))
+ axis([1 length(s0M) 0 80]);
+ grid;
+
diff --git a/libcodec2-android/src/codec2/octave/cml.patch b/libcodec2-android/src/codec2/octave/cml.patch
new file mode 100644
index 0000000..998058c
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/cml.patch
@@ -0,0 +1,126 @@
+diff -ruN -x '*~' -x -q cml-orig/CmlStartup.m cml/CmlStartup.m
+--- cml-orig/CmlStartup.m 2007-09-08 23:12:26.000000000 +0930
++++ cml/CmlStartup.m 2018-04-12 16:38:31.966825321 +0930
+@@ -20,7 +20,7 @@
+ addpath( strcat( cml_home, '\mex'), ...
+ strcat( cml_home, '\mat'), ...
+ strcat( cml_home, '\matalt' ), ...
+- strcat( cml_home, '\mexhelp'), ...
++ %strcat( cml_home, '\mexhelp'), ...
+ strcat( cml_home, '\demos' ), ...
+ strcat( cml_home, '\scenarios'), ...
+ strcat( cml_home, '\localscenarios'),...
+@@ -41,7 +41,7 @@
+ addpath( strcat( cml_home, '/mex'), ...
+ strcat( cml_home, '/mat'), ...
+ strcat( cml_home, '/matalt' ), ...
+- strcat( cml_home, '/mexhelp'), ...
++ %strcat( cml_home, '/mexhelp'), ...
+ strcat( cml_home, '/demos' ), ...
+ strcat( cml_home, '/scenarios'), ...
+ strcat( cml_home, '/localscenarios'),...
+@@ -59,4 +59,4 @@
+ save_directory = strcat( cml_home, '/scenarios/CmlHome.mat' );
+ end
+
+-save( save_directory, save_flag, 'cml_home' );
+\ No newline at end of file
++save( save_directory, save_flag, 'cml_home' );
+diff -ruN -x '*~' -x -q cml-orig/mat/CreateConstellation.m cml/mat/CreateConstellation.m
+--- cml-orig/mat/CreateConstellation.m 2007-12-27 21:36:24.000000000 +1030
++++ cml/mat/CreateConstellation.m 2018-04-15 10:21:35.325168186 +0930
+@@ -58,7 +58,7 @@
+ % Optional argument: Label Type
+ if (length(varargin)>=2)
+ label_type = varargin{2};
+- if ~isstr( label_type )
++ if ~ischar( label_type )
+ if (length( label_type ) ~= M )
+ error( 'Length of label_type must be M' );
+ elseif (sum( sort( label_type ) ~= [0:M-1] ) > 0)
+diff -ruN -x '*~' -x -q cml-orig/mat/InitializeWiMaxLDPC.m cml/mat/InitializeWiMaxLDPC.m
+--- cml-orig/mat/InitializeWiMaxLDPC.m 2007-07-21 08:18:04.000000000 +0930
++++ cml/mat/InitializeWiMaxLDPC.m 2018-04-15 10:19:59.487185664 +0930
+@@ -134,7 +134,7 @@
+ H(cnt1:cnt1+z-1, cnt2:cnt2+z-1)= eye(z);
+ end
+ if (Hbm(i, j) >0)
+- if ((rate ==2/3)&(ind ==0))
++ if ((rate ==2/3)&&(ind ==0))
+ H(cnt1:cnt1+z-1, cnt2:cnt2+z-1)=circshift( eye(z),[0,mod(Hbm(i,j),z)]);
+ else
+ H(cnt1:cnt1+z-1, cnt2:cnt2+z-1)= circshift( eye(z),[0,floor(Hbm(i,j)*z/z0)]);
+@@ -146,7 +146,7 @@
+ end
+
+ P =eye(z);
+-if ((rate ==3/4) & (ind ==1))
++if ((rate ==3/4) && (ind ==1))
+ P=inv(circshift( eye(z),[0,floor(80*z/z0)]));
+ end
+
+diff -ruN -x '*~' -x -q cml-orig/source/matrix.h cml/source/matrix.h
+--- cml-orig/source/matrix.h 1970-01-01 09:30:00.000000000 +0930
++++ cml/source/matrix.h 2018-04-12 16:38:31.966825321 +0930
+@@ -0,0 +1,1 @@
++#include
+diff -ruN -x '*~' -x -q cml-orig/source/MpDecode.c cml/source/MpDecode.c
+--- cml-orig/source/MpDecode.c 2007-08-06 14:44:24.000000000 +0930
++++ cml/source/MpDecode.c 2018-04-15 07:28:51.092724038 +0930
+@@ -53,6 +53,7 @@
+ #include
+ #include
+ #include
++#include
+
+ /* Input Arguments */
+ #define INPUT prhs[0]
+@@ -332,8 +333,10 @@
+ int sign;
+ float temp_sum;
+ float Qi;
+-
++ int ssum;
++
+ for (iter=0;iter plamp("../src/hts2a",40)
+%
+% Then press:
+% c - to cycle through the wavform being displayed on the figure
+% n - next frame
+% b - back one frame
+%
+% tip: hold down n or b to animate the display
+%
+% The text files used as input are generated using c2sim:
+%
+% /codec2-dev/src$ c2sim ../raw/hts2a.raw --dump hts2a
+%
+% The Codec 2 README explains how to build c2sim with dump files
+% enabled.
+
+function codec2_demo(samname, f)
+
+ sn_name = strcat(samname,"_sn.txt");
+ Sn = load(sn_name);
+
+ sw_name = strcat(samname,"_sw.txt");
+ Sw = load(sw_name);
+
+ model_name = strcat(samname,"_model.txt");
+ model = load(model_name);
+
+ figure(1);
+
+ k = ' ';
+ wf = "Sn";
+ do
+
+ if strcmp(wf,"Sn")
+ clf;
+ s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+ plot(s);
+ axis([1 length(s) -20000 20000]);
+ end
+
+ if (strcmp(wf,"Sw"))
+ clf;
+ plot((0:255)*4000/256, Sw(f,:),";Sw;");
+ end
+
+ if strcmp(wf,"SwAm")
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ plot((0:255)*4000/256, Sw(f,:),";Sw;");
+ hold on;
+ plot((1:L)*Wo*4000/pi, 20*log10(Am),"+;Am;r");
+ axis([1 4000 -10 80]);
+ hold off;
+ end
+
+ if strcmp(wf,"Am")
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ plot((1:L)*Wo*4000/pi, 20*log10(Am),"+;Am;r");
+ axis([1 4000 -10 80]);
+ end
+
+ % interactive menu
+
+ printf("\rframe: %d menu: n-next b-back w-cycle window q-quit", f);
+ fflush(stdout);
+ k = kbhit();
+ if (k == 'n')
+ f = f + 1;
+ end
+ if (k == 'b')
+ f = f - 1;
+ end
+ if (k == 'w')
+ if strcmp(wf,"Sn")
+ next_wf = "Sw";
+ end
+ if strcmp(wf,"Sw")
+ next_wf = "SwAm";
+ end
+ if strcmp(wf,"SwAm")
+ next_wf = "Am";
+ end
+ if strcmp(wf,"Am")
+ next_wf = "Sn";
+ end
+ wf = next_wf;
+ end
+
+ until (k == 'q')
+ printf("\n");
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/cohpsk_ch_fading.m b/libcodec2-android/src/codec2/octave/cohpsk_ch_fading.m
new file mode 100644
index 0000000..9022177
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/cohpsk_ch_fading.m
@@ -0,0 +1,27 @@
+% cohpsk_ch_fading.m
+% David Rowe
+% April 2018
+
+% function to write float fading samples for use by C programs
+
+function cohpsk_ch_fading(raw_file_name, Fs, dopplerSpreadHz, len_samples)
+ randn('seed',1);
+ spread = doppler_spread(dopplerSpreadHz, Fs, len_samples);
+ spread_2ms = doppler_spread(dopplerSpreadHz, Fs, len_samples);
+ hf_gain = 1.0/sqrt(var(spread)+var(spread_2ms));
+ printf("hf_gain: %f\n", hf_gain);
+
+ % interleave real imag samples
+
+ inter = zeros(1,len_samples*4);
+ inter(1:4) = hf_gain;
+ for i=1:len_samples
+ inter(i*4+1) = real(spread(i));
+ inter(i*4+2) = imag(spread(i));
+ inter(i*4+3) = real(spread_2ms(i));
+ inter(i*4+4) = imag(spread_2ms(i));
+ end
+ f = fopen(raw_file_name,"wb");
+ fwrite(f, inter, "float32");
+ fclose(f);
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/cohpsk_demod_plot.m b/libcodec2-android/src/codec2/octave/cohpsk_demod_plot.m
new file mode 100644
index 0000000..fd4f719
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/cohpsk_demod_plot.m
@@ -0,0 +1,69 @@
+% cohpsk_demod_plot.m
+% David Rowe May 2015
+%
+% Plot Octave outputs from cohpsk_demod, c2dec, to visualise whats going on
+% when errors hit the system
+
+#{
+ $ ./cohpsk_get_test_bits - 5600 | ./cohpsk_mod - - | ./cohpsk_ch - - -40 | ./cohpsk_demod - - -o cohpsk_demod.txt | ./cohpsk_put_test_bits -
+ octave> cohpsk_demod_plot("../build_linux/src/cohpsk_demod.txt")
+#}
+
+function cohpsk_demod_plot(fn)
+ Nc=7; Nd=2; Ns=6;
+
+ load(fn);
+
+ Ncf = 100; % number of codec frames to plot
+ Nmf = Ncf/2; % number of modem frames to plot
+ Nms = Nmf*Ns; % number of modem symbols to plot
+
+ figure(1)
+ clf;
+
+ % plot combined signals to show diversity gains
+
+ combined = rx_symb_log_c(:,1:Nc);
+ for d=2:Nd
+ combined += rx_symb_log_c(:, (d-1)*Nc+1:d*Nc);
+ end
+ plot(combined*exp(j*pi/4)/sqrt(Nd),'+')
+ title('Scatter');
+ axis([-2 2 -2 2])
+
+ figure(2)
+ clf;
+ subplot(211)
+ plot(rx_phi_log_c(1:Nms,:))
+ title('phase')
+ axis([1 Nms -pi pi])
+ subplot(212)
+ plot(rx_amp_log_c(1:Nms,:))
+ title('amplitude')
+ axis([1 Nms 0 1])
+
+ figure(3)
+ subplot(211)
+ plot(rx_timing_log_c)
+ title('rx timing');
+ subplot(212)
+ stem(ratio_log_c)
+ title('Sync ratio');
+
+ figure(4)
+ plot(f_est_log_c - 1500)
+ title('freq offset est');
+ axis([1 Nmf -50 50])
+
+ figure(5)
+ y = 1:Nms;
+ x = 1:Nc*Nd;
+ z = 20*log10(rx_amp_log_c(1:Nms,:));
+ mesh(x,y,z);
+ grid
+ title('Channel Amplitude dB');
+ a = min(min(z));
+ b = max(max(z));
+ axis([1 Nc*Nd 1 Nms a b])
+end
+
diff --git a/libcodec2-android/src/codec2/octave/cohpsk_dev.m b/libcodec2-android/src/codec2/octave/cohpsk_dev.m
new file mode 100644
index 0000000..0807319
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/cohpsk_dev.m
@@ -0,0 +1,439 @@
+% cohpsk_dev.m
+% David Rowe Mar 2015
+%
+% Coherent PSK modem development and testing functions
+%
+
+cohpsk_lib;
+
+% Init HF channel model from stored sample files of spreading signal ----------------------------------
+
+function [spread spread_2ms hf_gain] = init_hf_model(Fs, nsam)
+
+ % convert "spreading" samples from 1kHz carrier at Fss to complex
+ % baseband, generated by passing a 1kHz sine wave through PathSim
+ % with the ccir-poor model, enabling one path at a time.
+
+ Fc = 1000; Fss = 8000;
+ fspread = fopen("../raw/sine1k_2Hz_spread.raw","rb");
+ spread1k = fread(fspread, "int16")/10000;
+ fclose(fspread);
+ fspread = fopen("../raw/sine1k_2ms_delay_2Hz_spread.raw","rb");
+ spread1k_2ms = fread(fspread, "int16")/10000;
+ fclose(fspread);
+
+ % down convert to complex baseband
+ spreadbb = spread1k.*exp(-j*(2*pi*Fc/Fss)*(1:length(spread1k))');
+ spreadbb_2ms = spread1k_2ms.*exp(-j*(2*pi*Fc/Fss)*(1:length(spread1k_2ms))');
+
+ % remove -2000 Hz image
+ b = fir1(50, 5/Fss);
+ spread = filter(b,1,spreadbb);
+ spread_2ms = filter(b,1,spreadbb_2ms);
+
+ % discard first 1000 samples as these were near 0, probably as
+ % PathSim states were ramping up
+
+ spread = spread(1000:length(spread));
+ spread_2ms = spread_2ms(1000:length(spread_2ms));
+
+ % change output samples so they are at rate Fs reqd by caller
+
+ spread = resample(spread, Fs, Fss);
+ spread_2ms = resample(spread_2ms, Fs, Fss);
+
+ % Determine "gain" of HF channel model, so we can normalise
+ % carrier power during HF channel sim to calibrate SNR. I imagine
+ % different implementations of ccir-poor would do this in
+ % different ways, leading to different BER results. Oh Well!
+
+ hf_gain = 1.0/sqrt(var(spread(1:nsam))+var(spread_2ms(1:nsam)));
+endfunction
+
+
+function write_pilot_file(pilot, Nsymbrowpilot, Ns, Nsymrow, Npilotsframe, Nc);
+
+ filename = sprintf("../src/cohpsk_defs.h", Npilotsframe, Nc);
+ f=fopen(filename,"wt");
+ fprintf(f,"/* Generated by write_pilot_file() Octave function */\n\n");
+ fprintf(f,"#define NSYMROW %d /* number of data symbols on each row (i.e. each carrier) */\n", Nsymrow);
+ fprintf(f,"#define NS %d /* number of data symbols between pilots */\n", Ns);
+ fprintf(f,"#define NPILOTSFRAME %d /* number of pilot symbols on each row */\n", Npilotsframe);
+ fprintf(f,"#define PILOTS_NC %d /* number of carriers */\n\n", Nc);
+ fprintf(f,"#define NSYMROWPILOT %d /* length of row after pilots inserted */\n\n", Nsymbrowpilot);
+ fclose(f);
+
+ filename = sprintf("../src/pilots_coh.h", Npilotsframe, Nc);
+ f=fopen(filename,"wt");
+ fprintf(f,"/* Generated by write_pilot_file() Octave function */\n\n");
+ fprintf(f,"float pilots_coh[][PILOTS_NC]={\n");
+ for r=1:Npilotsframe
+ fprintf(f, " {");
+ for c=1:Nc-1
+ fprintf(f, " %f,", pilot(r, c));
+ end
+ if r < Npilotsframe
+ fprintf(f, " %f},\n", pilot(r, Nc));
+ else
+ fprintf(f, " %f}\n};", pilot(r, Nc));
+ end
+ end
+ fclose(f);
+endfunction
+
+
+% Save test bits frame to a text file in the form of a C array
+
+function test_bits_coh_file(test_bits_coh)
+
+ f=fopen("../src/test_bits_coh.h","wt");
+ fprintf(f,"/* Generated by test_bits_coh_file() Octave function */\n\n");
+ fprintf(f,"const int test_bits_coh[]={\n");
+ for m=1:length(test_bits_coh)-1
+ fprintf(f," %d,\n",test_bits_coh(m));
+ endfor
+ fprintf(f," %d\n};\n",test_bits_coh(length(test_bits_coh)));
+ fclose(f);
+
+endfunction
+
+
+% Rate Rs BER tests ------------------------------------------------------------------------------
+
+function sim_out = ber_test(sim_in)
+ sim_in = symbol_rate_init(sim_in);
+
+ Fs = sim_in.Fs;
+ Rs = sim_in.Rs;
+ Ntrials = sim_in.Ntrials;
+ verbose = sim_in.verbose;
+ plot_scatter = sim_in.plot_scatter;
+ framesize = sim_in.framesize;
+ bps = sim_in.bps;
+
+ Esvec = sim_in.Esvec;
+ ldpc_code = sim_in.ldpc_code;
+ rate = sim_in.ldpc_code_rate;
+ code_param = sim_in.code_param;
+ tx_bits_buf = sim_in.tx_bits_buf;
+ Nsymb = sim_in.Nsymb;
+ Nsymbrow = sim_in.Nsymbrow;
+ Nsymbrowpilot = sim_in.Nsymbrowpilot;
+ Nc = sim_in.Nc;
+ Npilotsframe = sim_in.Npilotsframe;
+ Ns = sim_in.Ns;
+ Np = sim_in.Np;
+ Nd = sim_in.Nd;
+ modulation = sim_in.modulation;
+ pilot = sim_in.pilot;
+ prev_sym_tx = sim_in.prev_sym_tx;
+ prev_sym_rx = sim_in.prev_sym_rx;
+ rx_symb_buf = sim_in.rx_symb_buf;
+ tx_pilot_buf = sim_in.tx_pilot_buf;
+ rx_pilot_buf = sim_in.rx_pilot_buf;
+
+ hf_sim = sim_in.hf_sim;
+ nhfdelay = sim_in.hf_delay_ms*Rs/1000;
+ hf_mag_only = sim_in.hf_mag_only;
+ f_off = sim_in.f_off;
+ div_time_shift = sim_in.div_timeshift;
+
+ [spread spread_2ms hf_gain] = init_hf_model(Rs, Nsymbrowpilot*(Ntrials+2));
+
+ if strcmp(modulation,'dqpsk')
+ Nsymbrowpilot = Nsymbrow;
+ end
+
+ % Start Simulation ----------------------------------------------------------------
+
+ for ne = 1:length(Esvec)
+ EsNodB = Esvec(ne);
+ EsNo = 10^(EsNodB/10);
+
+ variance = 1/EsNo;
+ if verbose > 1
+ printf("EsNo (dB): %f EsNo: %f variance: %f\n", EsNodB, EsNo, variance);
+ end
+
+ Terrs = 0; Tbits = 0;
+
+ s_ch_tx_log = [];
+ rx_symb_log = [];
+ noise_log = [];
+ errors_log = [];
+ Nerrs_log = [];
+ phi_log = [];
+ amp_log = [];
+ EsNo__log = [];
+
+ ldpc_errors_log = []; ldpc_Nerrs_log = [];
+
+ Terrsldpc = Tbitsldpc = Ferrsldpc = 0;
+
+ % init HF channel
+
+ hf_n = 1;
+
+ phase_offset_rect = 1;
+ w_offset = 2*pi*f_off/Rs;
+ w_offset_rect = exp(j*w_offset);
+
+ ct_symb_buf = zeros(2*Nsymbrowpilot, Nc*Nd);
+ prev_tx_symb = prev_rx_symb = ones(1, Nc*Nd);
+
+ % simulation starts here-----------------------------------
+
+ for nn = 1:Ntrials+2
+
+ if ldpc_code
+ tx_bits = round(rand(1,framesize*rate));
+ else
+ tx_bits = round(rand(1,framesize));
+ end
+
+ if strcmp(modulation,'qpsk')
+ [tx_symb tx_bits] = bits_to_qpsk_symbols(sim_in, tx_bits, code_param);
+
+ % one frame delay on bits for qpsk
+
+ tx_bits_buf(1:framesize) = tx_bits_buf(framesize+1:2*framesize);
+ tx_bits_buf(framesize+1:2*framesize) = tx_bits;
+
+ end
+ if strcmp(modulation, 'dqpsk')
+ [tx_symb prev_tx_symb] = bits_to_dqpsk_symbols(sim_in, tx_bits, prev_tx_symb);
+ tx_bits_buf(1:framesize) = tx_bits;
+ end
+
+ s_ch = tx_symb;
+
+ % HF channel simulation ------------------------------------
+
+ hf_fading = ones(1,Nsymb);
+ if hf_sim
+
+ % separation between carriers. Note this effectively
+ % under samples at Rs, I dont think this matters.
+ % Equivalent to doing freq shift at Fs, then
+ % decimating to Rs.
+
+ wsep = 2*pi*(1+0.5); % e.g. 75Hz spacing at Rs=50Hz, alpha=0.5 filters
+
+ hf_model(hf_n, :) = zeros(1,Nc*Nd);
+
+ for r=1:Nsymbrowpilot
+ for c=1:Nd*Nc
+ if c > Nc
+ time_shift = sim_in.div_timeshift;
+ else
+ time_shift = 1;
+ end
+ ahf_model = hf_gain*(spread(hf_n+time_shift) + exp(-j*c*wsep*nhfdelay)*spread_2ms(hf_n+time_shift));
+
+ if hf_mag_only
+ s_ch(r,c) *= abs(ahf_model);
+ else
+ s_ch(r,c) *= ahf_model;
+ end
+ hf_model(hf_n, c) = ahf_model;
+ end
+ hf_n++;
+ end
+ end
+
+ % keep a record of each tx symbol so we can check average power
+
+ for r=1:Nsymbrow
+ for c=1:Nd*Nc
+ s_ch_tx_log = [s_ch_tx_log s_ch(r,c)];
+ end
+ end
+
+ % AWGN noise and phase/freq offset channel simulation
+ % 0.5 factor ensures var(noise) == variance , i.e. splits power between Re & Im
+
+ noise = sqrt(variance*0.5)*(randn(Nsymbrowpilot,Nc*Nd) + j*randn(Nsymbrowpilot,Nc*Nd));
+ noise_log = [noise_log noise];
+
+ for r=1:Nsymbrowpilot
+ s_ch(r,:) *= phase_offset_rect;
+ phase_offset_rect *= w_offset_rect;
+ end
+ s_ch += noise;
+
+ ct_symb_buf(1:Nsymbrowpilot,:) = ct_symb_buf(Nsymbrowpilot+1:2*Nsymbrowpilot,:);
+ ct_symb_buf(Nsymbrowpilot+1:2*Nsymbrowpilot,:) = s_ch;
+
+ if strcmp(modulation,'qpsk')
+ [rx_symb rx_bits rx_symb_linear amp_ phi_ sig_rms noise_rms sim_in] = qpsk_symbols_to_bits(sim_in, ct_symb_buf(1:Nsymbrowpilot+Npilotsframe,:));
+ phi_log = [phi_log; phi_];
+ amp_log = [amp_log; amp_];
+ end
+ if strcmp(modulation,'dqpsk')
+ [rx_symb rx_bits rx_symb_linear prev_rx_symb] = dqpsk_symbols_to_bits(sim_in, s_ch, prev_rx_symb);
+ end
+
+ % Wait until we have enough frames to do pilot assisted phase estimation
+
+ if nn > 1
+ rx_symb_log = [rx_symb_log rx_symb_linear];
+ %EsNo__log = [EsNo__log EsNo_];
+
+ % Measure BER
+
+ error_positions = xor(rx_bits, tx_bits_buf(1:framesize));
+ Nerrs = sum(error_positions);
+ Terrs += Nerrs;
+ Tbits += length(tx_bits);
+ errors_log = [errors_log error_positions];
+ Nerrs_log = [Nerrs_log Nerrs];
+
+ % Optionally LDPC decode
+
+ if ldpc_code
+ detected_data = ldpc_dec(code_param, sim_in.max_iterations, sim_in.demod_type, sim_in.decoder_type, ...
+ rx_symb_linear, min(100,EsNo_), amp_linear);
+ error_positions = xor( detected_data(1:framesize*rate), tx_bits_buf(1:framesize*rate) );
+ Nerrs = sum(error_positions);
+ ldpc_Nerrs_log = [ldpc_Nerrs_log Nerrs];
+ ldpc_errors_log = [ldpc_errors_log error_positions];
+ if Nerrs
+ Ferrsldpc++;
+ end
+ Terrsldpc += Nerrs;
+ Tbitsldpc += framesize*rate;
+ end
+ end
+ end
+
+ TERvec(ne) = Terrs;
+ BERvec(ne) = Terrs/Tbits;
+
+ if verbose
+ av_tx_pwr = (s_ch_tx_log * s_ch_tx_log')/length(s_ch_tx_log);
+
+ printf("EsNo (dB): %3.1f Terrs: %d Tbits: %d BER %5.3f QPSK BER theory %5.3f av_tx_pwr: %3.2f",
+ EsNodB, Terrs, Tbits,
+ Terrs/Tbits, 0.5*erfc(sqrt(EsNo/2)), av_tx_pwr);
+ if ldpc_code
+ printf("\n LDPC: Terrs: %d BER: %4.2f Ferrs: %d FER: %4.2f",
+ Terrsldpc, Terrsldpc/Tbitsldpc, Ferrsldpc, Ferrsldpc/Ntrials);
+ end
+ printf("\n");
+ end
+ end
+
+ Ebvec = Esvec - 10*log10(bps);
+ sim_out.BERvec = BERvec;
+ sim_out.Ebvec = Ebvec;
+ sim_out.TERvec = TERvec;
+ sim_out.errors_log = errors_log;
+ sim_out.ldpc_errors_log = ldpc_errors_log;
+
+ if plot_scatter
+ figure(2);
+ clf;
+ scat = rx_symb_log .* exp(j*pi/4);
+ plot(real(scat), imag(scat),'+');
+ title('Scatter plot');
+ a = 1.5*max(real(scat)); b = 1.5*max(imag(scat));
+ axis([-a a -b b]);
+
+ if hf_sim
+ figure(3);
+ clf;
+
+ y = 1:(hf_n-1);
+ x = 1:Nc*Nd;
+ EsNodBSurface = 20*log10(abs(hf_model(y,:))) - 10*log10(variance);
+ EsNodBSurface(find(EsNodBSurface < -5)) = -5;
+ EsNodBSurface(find(EsNodBSurface > 25)) = 25;
+ mesh(x,y,EsNodBSurface);
+ grid
+ axis([1 Nc*Nd 1 Rs*5 -5 25])
+ title('HF Channel Es/No');
+
+ if verbose
+ [m n] = size(hf_model);
+ av_hf_pwr = sum(sum(abs(hf_model(:,:)).^2))/(m*n);
+ printf("average HF power: %3.2f over %d symbols\n", av_hf_pwr, m*n);
+ end
+
+ end
+
+ if strcmp(modulation,'qpsk')
+ % set up time axis to include gaps for pilots
+
+ [m1 n1] = size(phi_log);
+ phi_x = [];
+ phi_x_counter = 1;
+ p = Ns;
+ for r=1:m1
+ if p == Ns
+ phi_x_counter += Npilotsframe;
+ p = 0;
+ end
+ p++;
+ phi_x = [phi_x phi_x_counter++];
+ end
+
+ phi_x -= Nsymbrowpilot; % account for delay in pilot buffer
+
+ figure(5);
+ clf
+ subplot(211)
+ [m n] = size(phi_log);
+ plot(phi_x, phi_log(:,2),'r+;Estimated HF channel phase;')
+ if hf_sim
+ hold on;
+ [m n] = size(hf_model);
+ plot(angle(hf_model(1:m,2)),'g;HF channel phase;')
+ hold off;
+ end
+ ylabel('Phase (rads)');
+ legend('boxoff');
+ axis([1 m -1.1*pi 1.1*pi])
+
+ subplot(212)
+ plot(phi_x, amp_log(:,2),'r+;Estimated HF channel amp;')
+ if hf_sim
+ hold on;
+ plot(abs(hf_model(1:m,2)))
+ hold off;
+ end
+ ylabel('Amplitude');
+ xlabel('Time (symbols)');
+ legend('boxoff');
+ axis([1 m 0 3])
+ end
+
+ figure(4)
+ clf
+ stem(Nerrs_log)
+ axis([1 length(Nerrs_log) 0 max(Nerrs_log)+1])
+ end
+
+endfunction
+
+function sim_in = standard_init
+ sim_in.verbose = 1;
+ sim_in.do_write_pilot_file = 0;
+ sim_in.plot_scatter = 0;
+
+ sim_in.Esvec = 50;
+ sim_in.Ntrials = 30;
+ sim_in.framesize = 2;
+ sim_in.Rs = 50;
+
+ sim_in.phase_offset = 0;
+ sim_in.w_offset = 0;
+ sim_in.phase_noise_amp = 0;
+
+ sim_in.hf_delay_ms = 2;
+ sim_in.hf_sim = 0;
+ sim_in.hf_mag_only = 0;
+
+ sim_in.Nd = 1;
+endfunction
+
+
diff --git a/libcodec2-android/src/codec2/octave/cohpsk_lib.m b/libcodec2-android/src/codec2/octave/cohpsk_lib.m
new file mode 100644
index 0000000..8545c94
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/cohpsk_lib.m
@@ -0,0 +1,509 @@
+% cohpsk_lib.m
+% David Rowe Mar 2015
+%
+% Coherent PSK modem functions
+%
+
+1;
+
+% Gray coded QPSK modulation function
+
+function symbol = qpsk_mod(two_bits)
+ two_bits_decimal = sum(two_bits .* [2 1]);
+ switch(two_bits_decimal)
+ case (0) symbol = 1;
+ case (1) symbol = j;
+ case (2) symbol = -j;
+ case (3) symbol = -1;
+ endswitch
+endfunction
+
+
+% Gray coded QPSK demodulation function
+
+function two_bits = qpsk_demod(symbol)
+ if isscalar(symbol) == 0
+ printf("only works with scalars\n");
+ return;
+ end
+ bit0 = real(symbol*exp(j*pi/4)) < 0;
+ bit1 = imag(symbol*exp(j*pi/4)) < 0;
+ two_bits = [bit1 bit0];
+endfunction
+
+% init function for symbol rate processing --------------------------------------------------------
+
+function sim_in = symbol_rate_init(sim_in)
+ sim_in.Fs = Fs = 8000;
+
+ modulation = sim_in.modulation;
+ verbose = sim_in.verbose;
+ framesize = sim_in.framesize;
+ Ntrials = sim_in.Ntrials;
+ Esvec = sim_in.Esvec;
+ phase_offset = sim_in.phase_offset;
+ w_offset = sim_in.w_offset;
+ plot_scatter = sim_in.plot_scatter;
+
+ Rs = sim_in.Rs;
+ Nc = sim_in.Nc;
+
+ hf_sim = sim_in.hf_sim;
+ nhfdelay = sim_in.hf_delay_ms*Rs/1000;
+ hf_mag_only = sim_in.hf_mag_only;
+
+ Nd = sim_in.Nd; % diveristy
+ Ns = sim_in.Ns; % step size between pilots
+ ldpc_code = sim_in.ldpc_code;
+ rate = sim_in.ldpc_code_rate;
+
+ sim_in.bps = bps = 2;
+
+ sim_in.Nsymb = Nsymb = framesize/bps;
+ sim_in.Nsymbrow = Nsymbrow = Nsymb/Nc;
+ sim_in.Npilotsframe = Npilotsframe = 2;
+ sim_in.Nsymbrowpilot = Nsymbrowpilot = Nsymbrow + Npilotsframe;
+
+ if verbose == 2
+ printf("Each frame contains %d data bits or %d data symbols, transmitted as %d symbols by %d carriers.", framesize, Nsymb, Nsymbrow, Nc);
+ printf(" There are %d pilot symbols in each carrier together at the start of each frame, then %d data symbols.", Npilotsframe, Ns);
+ printf(" Including pilots, the frame is %d symbols long by %d carriers.\n\n", Nsymbrowpilot, Nc);
+ end
+
+ sim_in.prev_sym_tx = qpsk_mod([0 0])*ones(1,Nc*Nd);
+ sim_in.prev_sym_rx = qpsk_mod([0 0])*ones(1,Nc*Nd);
+
+ sim_in.rx_symb_buf = zeros(3*Nsymbrow, Nc*Nd);
+ sim_in.rx_pilot_buf = zeros(3*Npilotsframe,Nc*Nd);
+ sim_in.tx_bits_buf = zeros(1,2*framesize);
+
+ % pilot sequence is used for phase and amplitude estimation, and frame sync
+
+ pilot = 1 - 2*(rand(Npilotsframe,Nc) > 0.5);
+ sim_in.pilot = pilot;
+ sim_in.tx_pilot_buf = [pilot; pilot; pilot];
+
+ if sim_in.do_write_pilot_file
+ write_pilot_file(pilot, Nsymbrowpilot, Ns, Nsymbrow, Npilotsframe, Nc);
+ end
+
+ % we use first 2 pilots of next frame to help with frame sync and fine freq
+
+ sim_in.Nct_sym_buf = 2*Nsymbrowpilot + 2;
+ sim_in.ct_symb_buf = zeros(sim_in.Nct_sym_buf, Nc*Nd);
+
+ sim_in.ff_phase = 1;
+
+ sim_in.ct_symb_ff_buf = zeros(Nsymbrowpilot + 2, Nc*Nd);
+
+ % Init LDPC --------------------------------------------------------------------
+
+ if ldpc_code
+ % Start CML library
+
+ currentdir = pwd;
+ addpath '~/cml/mat' % assume the source files stored here
+ cd ~/cml
+ CmlStartup % note that this is not in the cml path!
+ cd(currentdir)
+
+ % Our LDPC library
+
+ ldpc;
+
+ mod_order = 4;
+ modulation2 = 'QPSK';
+ mapping = 'gray';
+
+ sim_in.demod_type = 0;
+ sim_in.decoder_type = 0;
+ sim_in.max_iterations = 100;
+
+ code_param = ldpc_init(rate, framesize, modulation2, mod_order, mapping);
+ code_param.code_bits_per_frame = framesize;
+ code_param.symbols_per_frame = framesize/bps;
+ sim_in.code_param = code_param;
+ else
+ sim_in.rate = 1;
+ sim_in.code_param = [];
+ end
+endfunction
+
+
+% Symbol rate processing for tx side (modulator) -------------------------------------------------------
+
+% legacy DQPSK mod for comparative testing
+
+function [tx_symb prev_tx_symb] = bits_to_dqpsk_symbols(sim_in, tx_bits, prev_tx_symb)
+ Nc = sim_in.Nc;
+ Nsymbrow = sim_in.Nsymbrow;
+
+ tx_symb = zeros(Nsymbrow,Nc);
+
+ for c=1:Nc
+ for r=1:Nsymbrow
+ i = (c-1)*Nsymbrow + r;
+ tx_symb(r,c) = qpsk_mod(tx_bits(2*(i-1)+1:2*i));
+ tx_symb(r,c) *= prev_tx_symb(c);
+ prev_tx_symb(c) = tx_symb(r,c);
+ end
+ end
+
+endfunction
+
+
+% legacy DQPSK demod for comparative testing
+
+function [rx_symb rx_bits rx_symb_linear prev_rx_symb] = dqpsk_symbols_to_bits(sim_in, rx_symb, prev_rx_symb)
+ Nc = sim_in.Nc;
+ Nsymbrow = sim_in.Nsymbrow;
+
+ tx_symb = zeros(Nsymbrow,Nc);
+
+ for c=1:Nc
+ for r=1:Nsymbrow
+ tmp = rx_symb(r,c);
+ rx_symb(r,c) *= conj(prev_rx_symb(c))/abs(prev_rx_symb(c));
+ prev_rx_symb(c) = tmp;
+ i = (c-1)*Nsymbrow + r;
+ rx_symb_linear(i) = rx_symb(r,c);
+ rx_bits((2*(i-1)+1):(2*i)) = qpsk_demod(rx_symb(r,c));
+ end
+ end
+
+endfunction
+
+
+function [tx_symb tx_bits] = bits_to_qpsk_symbols(sim_in, tx_bits, code_param)
+ ldpc_code = sim_in.ldpc_code;
+ rate = sim_in.ldpc_code_rate;
+ framesize = sim_in.framesize;
+ Nsymbrow = sim_in.Nsymbrow;
+ Nsymbrowpilot = sim_in.Nsymbrowpilot;
+ Nc = sim_in.Nc;
+ Npilotsframe = sim_in.Npilotsframe;
+ Ns = sim_in.Ns;
+ modulation = sim_in.modulation;
+ pilot = sim_in.pilot;
+ Nd = sim_in.Nd;
+
+ if ldpc_code
+ [tx_bits, tmp] = ldpc_enc(tx_bits, code_param);
+ end
+
+ % modulate --------------------------------------------
+
+ % organise symbols into a Nsymbrow rows by Nc cols
+ % data and parity bits are on separate carriers
+
+ tx_symb = zeros(Nsymbrow,Nc);
+
+ for c=1:Nc
+ for r=1:Nsymbrow
+ i = (c-1)*Nsymbrow + r;
+ tx_symb(r,c) = qpsk_mod(tx_bits(2*(i-1)+1:2*i));
+ end
+ end
+
+ % insert pilots at start of frame
+
+ tx_symb = [pilot(1,:); pilot(2,:); tx_symb;];
+
+ % copy to other carriers (diversity)
+
+ tmp = tx_symb;
+ for d=1:Nd-1
+ tmp = [tmp tx_symb];
+ end
+ tx_symb = tmp;
+
+ % ensures energy/symbol is normalised with diversity
+
+ tx_symb = tx_symb/sqrt(Nd);
+endfunction
+
+
+% Symbol rate processing for rx side (demodulator) -------------------------------------------------------
+
+function [rx_symb rx_bits rx_symb_linear amp_ phi_ sig_rms noise_rms cohpsk] = qpsk_symbols_to_bits(cohpsk, ct_symb_buf)
+ framesize = cohpsk.framesize;
+ Nsymb = cohpsk.Nsymb;
+ Nsymbrow = cohpsk.Nsymbrow;
+ Nsymbrowpilot = cohpsk.Nsymbrowpilot;
+ Nc = cohpsk.Nc;
+ Nd = cohpsk.Nd;
+ Npilotsframe = cohpsk.Npilotsframe;
+ pilot = cohpsk.pilot;
+ verbose = cohpsk.verbose;
+ coh_en = cohpsk.coh_en;
+
+ % Use pilots to get phase and amplitude estimates We assume there
+ % are two samples at the start of each frame and two at the end
+ % Note: correlation (averging) method was used initially, but was
+ % poor at tracking fast phase changes that we experience on fading
+ % channels. Linear regression (fitting a straight line) works
+ % better on fading channels, but increases BER slightly for AWGN
+ % channels.
+
+ sampling_points = [1 2 cohpsk.Nsymbrow+3 cohpsk.Nsymbrow+4];
+ pilot2 = [cohpsk.pilot(1,:); cohpsk.pilot(2,:); cohpsk.pilot(1,:); cohpsk.pilot(2,:);];
+ phi_ = zeros(Nsymbrow, Nc*Nd);
+ amp_ = zeros(Nsymbrow, Nc*Nd);
+
+ for c=1:Nc*Nd
+ y = ct_symb_buf(sampling_points,c) .* pilot2(:,c-Nc*floor((c-1)/Nc));
+ [m b] = linreg(sampling_points, y, length(sampling_points));
+ yfit = m*[3 4 5 6] + b;
+ phi_(:, c) = angle(yfit);
+
+ mag = sum(abs(ct_symb_buf(sampling_points,c)));
+ amp_(:, c) = mag/length(sampling_points);
+ end
+
+ % now correct phase of data symbols
+
+ rx_symb = zeros(Nsymbrow, Nc);
+ rx_symb_linear = zeros(1, Nsymbrow*Nc*Nd);
+ rx_bits = zeros(1, framesize);
+ for c=1:Nc*Nd
+ for r=1:Nsymbrow
+ if coh_en == 1
+ rx_symb(r,c) = ct_symb_buf(2+r,c)*exp(-j*phi_(r,c));
+ else
+ rx_symb(r,c) = ct_symb_buf(2+r,c);
+ end
+ i = (c-1)*Nsymbrow + r;
+ rx_symb_linear(i) = rx_symb(r,c);
+ end
+ end
+
+ % and finally optional diversity combination and make decn on bits
+
+ for c=1:Nc
+ for r=1:Nsymbrow
+ i = (c-1)*Nsymbrow + r;
+ div_symb = rx_symb(r,c);
+ for d=1:Nd-1
+ div_symb += rx_symb(r,c + Nc*d);
+ end
+ rx_bits((2*(i-1)+1):(2*i)) = qpsk_demod(div_symb);
+ end
+ end
+
+ % Estimate noise power from demodulated symbols. One method is to
+ % calculate the distance of each symbol from the average symbol
+ % position. However this is complicated by fading, which means the
+ % amplitude of the symbols is constantly changing.
+
+ % Now the scatter diagram in a fading channel is a X or cross
+ % shape. The noise can be resolved into two components at right
+ % angles to each other. The component along the the "thickness"
+ % of the arms is proportional to the noise power and not affected
+ % by fading. We only use points further along the real axis than
+ % the mean amplitude so we keep out of the central nosiey blob
+
+ sig_rms = mean(abs(rx_symb_linear));
+
+ sum_x = 0;
+ sum_xx = 0;
+ n = 0;
+ for i=1:Nsymb*Nd
+ s = rx_symb_linear(i);
+ if abs(real(s)) > sig_rms
+ sum_x += imag(s);
+ sum_xx += imag(s)*imag(s);
+ n++;
+ end
+ end
+
+ noise_var = 0;
+ if n > 1
+ noise_var = (n*sum_xx - sum_x*sum_x)/(n*(n-1));
+ end
+ noise_rms = sqrt(noise_var);
+endfunction
+
+function [ch_symb rx_timing rx_filt rx_baseband afdmdv f_est] = rate_Fs_rx_processing(afdmdv, ch_fdm_frame, f_est, nsymb, nin, freq_track)
+ M = afdmdv.M;
+
+ rx_baseband = [];
+ rx_filt = [];
+ rx_timing = [];
+
+ ch_fdm_frame_index = 1;
+
+ for r=1:nsymb
+ % shift signal to nominal baseband, this will put Nc/2 carriers either side of 0 Hz
+
+ [rx_fdm_frame_bb afdmdv.fbb_phase_rx] = freq_shift(ch_fdm_frame(ch_fdm_frame_index:ch_fdm_frame_index + nin - 1), -f_est, afdmdv.Fs, afdmdv.fbb_phase_rx);
+ ch_fdm_frame_index += nin;
+
+ % downconvert each FDM carrier to Nc separate baseband signals
+
+ [arx_baseband afdmdv] = fdm_downconvert(afdmdv, rx_fdm_frame_bb, nin);
+ [arx_filt afdmdv] = rx_filter(afdmdv, arx_baseband, nin);
+ [rx_onesym arx_timing env afdmdv] = rx_est_timing(afdmdv, arx_filt, nin);
+
+ rx_baseband = [rx_baseband arx_baseband];
+ rx_filt = [rx_filt arx_filt];
+ rx_timing = [rx_timing arx_timing];
+
+ ch_symb(r,:) = rx_onesym;
+
+ % we only allow a timing shift on one symbol per frame
+
+ if nin != M
+ nin = M;
+ end
+
+ % freq tracking, see test_ftrack.m for unit test. Placed in
+ % this function as it needs to work on a symbol by symbol basis
+ % rather than frame by frame. This means the control loop
+ % operates at a sample rate of Rs = 50Hz for say 1 Hz/s drift.
+
+ if freq_track
+ beta = 0.005;
+ g = 0.2;
+
+ % combine difference on phase from last symbol over Nc carriers
+
+ mod_strip = 0;
+ for c=1:afdmdv.Nc+1
+ adiff = rx_onesym(c) .* conj(afdmdv.prev_rx_symb(c));
+ afdmdv.prev_rx_symb(c) = rx_onesym(c);
+
+ % 4th power strips QPSK modulation, by multiplying phase by 4
+ % Using the abs value of the real coord was found to help
+ % non-linear issues when noise power was large
+
+ amod_strip = adiff.^4;
+ amod_strip = abs(real(amod_strip)) + j*imag(amod_strip);
+ mod_strip += amod_strip;
+ end
+
+ % loop filter made up of 1st order IIR plus integrator. Integerator
+ % was found to be reqd
+
+ afdmdv.filt = (1-beta)*afdmdv.filt + beta*angle(mod_strip);
+ f_est += g*afdmdv.filt;
+ end
+ end
+endfunction
+
+
+function ct_symb_buf = update_ct_symb_buf(ct_symb_buf, ch_symb, Nct_sym_buf, Nsymbrowpilot)
+
+ % update memory in symbol buffer
+
+ for r=1:Nct_sym_buf-Nsymbrowpilot
+ ct_symb_buf(r,:) = ct_symb_buf(r+Nsymbrowpilot,:);
+ end
+ i = 1;
+ for r=Nct_sym_buf-Nsymbrowpilot+1:Nct_sym_buf
+ ct_symb_buf(r,:) = ch_symb(i,:);
+ i++;
+ end
+endfunction
+
+
+% returns index of start of frame and fine freq offset
+
+function [next_sync cohpsk] = frame_sync_fine_freq_est(cohpsk, ch_symb, sync, next_sync)
+ ct_symb_buf = cohpsk.ct_symb_buf;
+ Nct_sym_buf = cohpsk.Nct_sym_buf;
+ Rs = cohpsk.Rs;
+ Nsymbrowpilot = cohpsk.Nsymbrowpilot;
+ Nc = cohpsk.Nc;
+ Nd = cohpsk.Nd;
+
+ ct_symb_buf = update_ct_symb_buf(ct_symb_buf, ch_symb, Nct_sym_buf, Nsymbrowpilot);
+ cohpsk.ct_symb_buf = ct_symb_buf;
+
+ % sample pilots at start of this frame and start of next frame
+
+ sampling_points = [1 2 cohpsk.Nsymbrow+3 cohpsk.Nsymbrow+4];
+ pilot2 = [ cohpsk.pilot(1,:); cohpsk.pilot(2,:); cohpsk.pilot(1,:); cohpsk.pilot(2,:);];
+
+ if sync == 0
+
+ % sample correlation over 2D grid of time and fine freq points
+
+ max_corr = 0;
+ for f_fine=-20:0.25:20
+ f_fine_rect = exp(-j*f_fine*2*pi*sampling_points/Rs)'; % note: this could be pre-computed at init or compile time
+ for t=0:cohpsk.Nsymbrowpilot-1
+ corr = 0; mag = 0;
+ for c=1:Nc*Nd
+ f_corr_vec = f_fine_rect .* ct_symb_buf(t+sampling_points,c); % note: this could be pre-computed at init or compile time
+ acorr = 0.0;
+ for p=1:length(sampling_points)
+ acorr += pilot2(p,c-Nc*floor((c-1)/Nc)) * f_corr_vec(p);
+ mag += abs(f_corr_vec(p));
+ end
+ corr += abs(acorr);
+ end
+
+ if corr >= max_corr
+ max_corr = corr;
+ max_mag = mag;
+ cohpsk.ct = t;
+ cohpsk.f_fine_est = f_fine;
+ cohpsk.ff_rect = exp(-j*f_fine*2*pi/Rs);
+ end
+ end
+ end
+
+ printf(" [%d] fine freq f: %f max_ratio: %f ct: %d\n", cohpsk.frame, cohpsk.f_fine_est, abs(max_corr)/max_mag, cohpsk.ct);
+ if abs(max_corr/max_mag) > 0.9
+ printf(" [%d] encouraging sync word! ratio: %f\n", cohpsk.frame, abs(max_corr/max_mag));
+ cohpsk.sync_timer = 0;
+ next_sync = 1;
+ else
+ next_sync = 0;
+ end
+ cohpsk.ratio = abs(max_corr/max_mag);
+ end
+
+ % single point correlation just to see if we are still in sync
+
+ if sync == 1
+ corr = 0; mag = 0;
+ f_fine_rect = exp(-j*cohpsk.f_fine_est*2*pi*sampling_points/Rs)';
+ for c=1:Nc*Nd
+ f_corr_vec = f_fine_rect .* ct_symb_buf(cohpsk.ct+sampling_points,c);
+ acorr = 0;
+ for p=1:length(sampling_points)
+ acorr += pilot2(p, c-Nc*floor((c-1)/Nc)) * f_corr_vec(p);
+ mag += abs(f_corr_vec(p));
+ end
+ corr += abs(acorr);
+ end
+ cohpsk.ratio = abs(corr)/mag;
+ end
+
+endfunction
+
+
+% misc sync state machine code, just wanted it in a function
+
+function [sync cohpsk] = sync_state_machine(cohpsk, sync, next_sync)
+
+ if sync == 1
+
+ % check that sync is still good, fall out of sync on consecutive bad frames */
+
+ if cohpsk.ratio < 0.8
+ cohpsk.sync_timer++;
+ else
+ cohpsk.sync_timer = 0;
+ end
+
+ if cohpsk.sync_timer == 10
+ printf(" [%d] lost sync ....\n", cohpsk.frame);
+ next_sync = 0;
+ end
+ end
+
+ sync = next_sync;
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/cohpsk_plots.m b/libcodec2-android/src/codec2/octave/cohpsk_plots.m
new file mode 100644
index 0000000..9fc9a11
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/cohpsk_plots.m
@@ -0,0 +1,141 @@
+% cohpsk_plots.m
+% David Rowe Feb 2017
+%
+% Generate some plots for chps modem blog post
+
+rand("seed",1);
+
+% Multipath with simple unfiltered BPSK signal
+
+N = 100; % number of symbols
+M = 4; % oversample rate
+
+tx_bits = rand(1,N) > 0.5;
+tx_symbols = 2*tx_bits - 1;
+tx = zeros(1,N*M);
+
+for i=1:N
+ tx((i-1)*M+1:i*M) = tx_symbols(i);
+end
+
+h = [0 0 0 0 0.5]; % model of second path
+
+rx1 = tx;
+rx2 = filter(h,1,tx);
+rx = rx1 + rx2;
+
+% Multipath in time domain
+
+figure(1); clf;
+subplot(311)
+plot(rx1, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+subplot(312)
+plot(rx2, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+subplot(313)
+plot(rx, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+xlabel('Time');
+print("cohpsk_multipath_time.png", "-dpng", "-S600,440", "-F:8")
+
+% Multipath channel magnitude and phase response against frequency
+
+h = [1 0 0 0 0.5]; % model of two path multipath channel
+H = freqz(h,1,100);
+
+figure(2); clf;
+subplot(211)
+plot(20*log10(abs(H)), "linewidth", 4)
+title('Amplitude (dB)');
+subplot(212)
+plot(angle(H), "linewidth", 4)
+title('Phase (rads)');
+%axis([0 500 -2 2]);
+xlabel('Frequency');
+print("cohpsk_multipath_channel.png", "-dpng", "-S600,440", "-F:8")
+
+% Effective of 1 sample multipath for different symbols lengths
+
+h = [1 0 0 0 0.5]; % model of two path multipath channel
+M1 = 2;
+M2 = 20;
+tx1 = zeros(1,N*M1);
+tx2 = zeros(1,N*M2);
+for i=1:N
+ tx1((i-1)*M1+1:i*M1) = tx_symbols(i);
+ tx2((i-1)*M2+1:i*M2) = tx_symbols(i);
+end
+
+rx1 = filter(h,1,tx1);
+rx2 = filter(h,1,tx2);
+
+figure(3); clf;
+subplot(211)
+plot(rx1, "linewidth", 4)
+axis([0 10*M1+1 -2 2]);
+title('1ms multipath with 2ms symbols')
+subplot(212)
+plot(rx2, "linewidth", 4)
+axis([0 10*M2+1 -2 2]);
+title('1ms multipath with 20ms symbols')
+xlabel('Time');
+print("cohpsk_multipath_symbol_length.png", "-dpng", "-S600,440", "-F:8")
+
+% DBPSK --------------------------------------------------
+
+N = 10;
+tx_bits = rand(1,N) > 0.5;
+bpsk = 2*tx_bits - 1;
+prev_bpsk = 1;
+for i=1:N
+
+ % BPSK -> DBPSK
+
+ dbpsk(i) = bpsk(i) * (-prev_bpsk);
+ prev_bpsk = bpsk(i);
+
+ % oversampling
+
+ tx_bpsk((i-1)*M+1:i*M) = bpsk(i);
+ tx_dbpsk((i-1)*M+1:i*M) = dbpsk(i);
+end
+
+figure(4); clf;
+subplot(211);
+plot(tx_bpsk, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+title('Tx BPSK');
+subplot(212);
+plot(tx_dbpsk, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+title('Tx DBPSK');
+print("cohpsk_dbpsk1.png", "-dpng", "-S600,440", "-F:8")
+
+dbpsk *= -1;
+
+prev_rx = 1;
+for i=1:N
+
+ % rx DBPSK -> PSK
+
+ bpsk(i) = dbpsk(i) * (prev_rx);
+ prev_rx = bpsk(i);
+
+ % oversampling
+
+ rx_bpsk((i-1)*M+1:i*M) = bpsk(i);
+ rx_dbpsk((i-1)*M+1:i*M) = dbpsk(i);
+end
+
+figure(5); clf;
+subplot(211);
+plot(rx_dbpsk, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+title('Rx DBPSK with 180 deg phase shift');
+subplot(212);
+plot(rx_bpsk, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+title('Rx BPSK');
+print("cohpsk_dbpsk2.png", "-dpng", "-S600,440", "-F:8")
+
diff --git a/libcodec2-android/src/codec2/octave/crc16.m b/libcodec2-android/src/codec2/octave/crc16.m
new file mode 100644
index 0000000..aafc432
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/crc16.m
@@ -0,0 +1,55 @@
+% crc16.m
+%
+%The CRC calculation is based on following generator polynomial:
+%G(x) = x16 + x12 + x5 + 1
+%
+%The register initial value of the implementation is: 0xFFFF
+%
+%used data = string -> 1 2 3 4 5 6 7 8 9
+%
+% Online calculator to check the script:
+%http://www.lammertbies.nl/comm/info/crc-calculation.html
+%
+%
+
+function crc = crc16(data)
+
+ % crc look up table
+
+ Crc_ui16LookupTable=[0,4129,8258,12387,16516,20645,24774,28903,33032,37161,41290,45419,49548,...
+ 53677,57806,61935,4657,528,12915,8786,21173,17044,29431,25302,37689,33560,45947,41818,54205,...
+ 50076,62463,58334,9314,13379,1056,5121,25830,29895,17572,21637,42346,46411,34088,38153,58862,...
+ 62927,50604,54669,13907,9842,5649,1584,30423,26358,22165,18100,46939,42874,38681,34616,63455,...
+ 59390,55197,51132,18628,22757,26758,30887,2112,6241,10242,14371,51660,55789,59790,63919,35144,...
+ 39273,43274,47403,23285,19156,31415,27286,6769,2640,14899,10770,56317,52188,64447,60318,39801,...
+ 35672,47931,43802,27814,31879,19684,23749,11298,15363,3168,7233,60846,64911,52716,56781,44330,...
+ 48395,36200,40265,32407,28342,24277,20212,15891,11826,7761,3696,65439,61374,57309,53244,48923,...
+ 44858,40793,36728,37256,33193,45514,41451,53516,49453,61774,57711,4224,161,12482,8419,20484,...
+ 16421,28742,24679,33721,37784,41979,46042,49981,54044,58239,62302,689,4752,8947,13010,16949,...
+ 21012,25207,29270,46570,42443,38312,34185,62830,58703,54572,50445,13538,9411,5280,1153,29798,...
+ 25671,21540,17413,42971,47098,34713,38840,59231,63358,50973,55100,9939,14066,1681,5808,26199,...
+ 30326,17941,22068,55628,51565,63758,59695,39368,35305,47498,43435,22596,18533,30726,26663,6336,...
+ 2273,14466,10403,52093,56156,60223,64286,35833,39896,43963,48026,19061,23124,27191,31254,2801,6864,...
+ 10931,14994,64814,60687,56684,52557,48554,44427,40424,36297,31782,27655,23652,19525,15522,11395,...
+ 7392,3265,61215,65342,53085,57212,44955,49082,36825,40952,28183,32310,20053,24180,11923,16050,3793,7920];
+
+ ui16RetCRC16 = hex2dec('FFFF');
+ for I=1:length(data)
+ ui8LookupTableIndex = bitxor(data(I),uint8(bitshift(ui16RetCRC16,-8)));
+ ui16RetCRC16 = bitxor(Crc_ui16LookupTable(double(ui8LookupTableIndex)+1),mod(bitshift(ui16RetCRC16,8),65536));
+ end
+ crc=dec2hex(ui16RetCRC16);
+
+endfunction
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/libcodec2-android/src/codec2/octave/doppler_spread.m b/libcodec2-android/src/codec2/octave/doppler_spread.m
new file mode 100644
index 0000000..b6fccf5
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/doppler_spread.m
@@ -0,0 +1,38 @@
+% doppler_spread.m
+% David Rowe Jan 2016
+%
+% Returns gausssian filtered doppler spreading function samples for HF channel
+% modelling. Used PathSim technical guide as a reference - thanks Moe!
+
+function [spread_FsHz states] = doppler_spread(dopplerSpreadHz, FsHz, Nsam)
+
+ % start with low Fs so we can work with a reasonable filter length
+
+ sigma = dopplerSpreadHz/2;
+ lowFs = ceil(10*dopplerSpreadHz);
+ Ntaps = 100;
+ Nsam_low = ceil(Nsam*lowFs/FsHz + Ntaps); % fill filter memory
+
+ % generate gaussian freq response and design filter
+
+ x = 0:lowFs/100:lowFs/2;
+ y = (1/(sigma*sqrt(2*pi)))*exp(-(x.^2)/(2*sigma*sigma));
+ b = fir2(Ntaps-1, x/(lowFs/2), y);
+
+ % generate the spreading samples
+
+ spread_lowFs = filter(b,1,randn(1,Nsam_low) + j*randn(1,Nsam_low));
+
+ % resample to FsHz, scaling for desired spreadFreqHz
+
+ spread_FsHz = resample(spread_lowFs(Ntaps+1:Nsam_low), FsHz, lowFs);
+ assert(length(spread_FsHz) >= Nsam);
+
+ % return some states for optional unit testing
+ states.x = x;
+ states.y = y;
+ states.b = b;
+
+endfunction
+
+
diff --git a/libcodec2-android/src/codec2/octave/doppler_spread_ut.m b/libcodec2-android/src/codec2/octave/doppler_spread_ut.m
new file mode 100644
index 0000000..f7d96b0
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/doppler_spread_ut.m
@@ -0,0 +1,51 @@
+% doppler_spread_ut.m
+% David Rowe Jan 2016
+%
+% Unit test script for doppler_spread
+
+f = 1;
+Fs = 8000;
+N = Fs*10;
+
+[spread states] = doppler_spread(f, Fs, N);
+
+% use spreading samples to modulate 1000Hz sine wave
+% You can listen to this with: sine1k_1Hz.raw
+
+% $ play -t raw -r 8000 -s -2
+s = cos(2*pi*(1:N)*1000/Fs);
+s = s .* spread;
+s = real(s)*5000;
+fs = fopen("sine1k_1Hz.raw","wb"); fwrite(fs,s,"short"); fclose(fs);
+
+% Some plots
+
+x = states.x; y = states.y; b = states.b;
+
+H = freqz(b,1,x);
+
+figure(1)
+clf
+subplot(211)
+plot(x,y,';target;')
+title('Gaussian Filter Freq Resp Lin');
+legend('boxoff');
+subplot(212)
+plot(x,20*log10(y),';target;')
+hold on;
+plot(x,20*log10(y),'g+;actual;')
+hold off;
+axis([0 f*10/2 -60 0])
+title('Gaussian Filter Freq Resp dB');
+xlabel('Freq (Hz)');
+legend('boxoff');
+
+figure(2);
+subplot(211)
+plot(abs(spread))
+title('Spreading Function Magnitude');
+subplot(212)
+plot(s)
+title('1000Hz Sine Wave');
+xlabel('Time (samples)')
+
diff --git a/libcodec2-android/src/codec2/octave/estsnr.m b/libcodec2-android/src/codec2/octave/estsnr.m
new file mode 100644
index 0000000..5a00bd8
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/estsnr.m
@@ -0,0 +1,65 @@
+% estsnr.m
+% David Rowe May 2017
+%
+% estimate SNR of a sinewave in noise
+
+function snr_dB = estsnr(x, Fs=8000, Nbw = 3000)
+
+ [nr nc] = size(x);
+ if nr == 1
+ x = x';
+ end
+
+ % find peak in +ve side of spectrum, ignoring DC
+
+ L = length(x);
+ X = abs(fft(x));
+ st = floor(0.05*L); en = floor(0.45*L);
+ [A mx_ind]= max(X(st:en));
+ mx_ind += st;
+
+ % signal energy might be spread by doppler, so sum energy
+ % in frequencies +/- 1%
+
+ s_st = floor(mx_ind*0.99); s_en = floor(mx_ind*1.01);
+ S = sum(X(s_st:s_en).^2);
+
+ % real signal, so -ve power is the same
+
+ S = 2*S;
+ SdB = 10*log10(S);
+
+ printf("Signal Power S: %3.2f dB\n", SdB);
+
+ % locate a band of noise next to it and find power in band
+
+ st = floor(mx_ind+0.05*(L/2));
+ en = st + floor(0.1*(L/2));
+
+ N = sum(X(st:en).^2);
+
+ % scale this to obtain total noise power across total bandwidth
+
+ N *= L/(en-st);
+ NdB = 10*log10(N);
+ printf("Noise Power N: %3.2f dB\n", NdB);
+
+ % scale noise to designed noise bandwidth /2 fudge factor as its a
+ % real signal, wish I had a better way to explain that!
+
+ NodB = NdB - 10*log10(Fs/2);
+ NscaleddB = NodB + 10*log10(Nbw);
+ snr_dB = SdB - NscaleddB;
+
+ figure(1); clf;
+ plot(20*log10(X(1:L/2)),'b');
+ hold on;
+ plot([s_st s_en], [NdB NdB]- 10*log10(L), 'r');
+ plot([st en], [NdB NdB]- 10*log10(L), 'r');
+ hold off;
+ top = 10*ceil(SdB/10);
+ bot = NodB - 20;
+ axis([1 L/2 bot top]);
+ grid
+ grid("minor")
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/fdmdv.m b/libcodec2-android/src/codec2/octave/fdmdv.m
new file mode 100644
index 0000000..a3d1cdc
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fdmdv.m
@@ -0,0 +1,979 @@
+% fdmdv.m
+%
+% Functions that implement a Frequency Divison Multiplexed Modem for
+% Digital Voice (FDMDV) over HF channels.
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% TODO:
+% [X] refactor with states
+% [X] remove commented out globals
+% [X] tfdmdv works
+% [X] fdmdv_demod works
+% [ ] fdmdv_ut works
+
+% reqd to make sure we get same random bits at mod and demod
+
+fdmdv_common;
+
+rand('state',1);
+randn('state',1);
+
+% Functions ----------------------------------------------------
+
+
+function f = fdmdv_init(Nc=14)
+ Fs = f.Fs = 8000; % sample rate in Hz
+ T = f.T = 1/Fs; % sample period in seconds
+ Rs = f.Rs = 50; % symbol rate in Hz
+ f.Nc = Nc;
+ Nb = f.Nb = 2; % Bits/symbol for PSK modulation
+ Rb = f.Rb = Nc*Rs*Nb; % bit rate
+ M = f.M = Fs/Rs; % oversampling factor
+ Nsym = f.Nsym = 6; % number of symbols to filter over
+
+ Fsep = f.Fsep = 75; % Separation between carriers (Hz)
+ Fcenter = f.Fcentre = 1500; % Centre frequency, Nc/2 carriers below this,
+ % Nc/2 carriers above (Hz)
+ Nt = f.Nt = 5; % number of symbols we estimate timing over
+ P = f.P = 4; % oversample factor used for rx symbol filtering
+ Nfilter = f.Nfilter = Nsym*M;
+
+ Nfiltertiming = f.Nfiltertiming = M+Nfilter+M;
+
+ Nsync_mem = f.Nsync_mem = 6;
+ f.sync_uw = [1 -1 1 -1 1 -1];
+
+ alpha = 0.5;
+ f.gt_alpha5_root = gen_rn_coeffs(alpha, T, Rs, Nsym, M);
+
+ f.pilot_bit = 0; % current value of pilot bit
+
+ f.tx_filter_memory = zeros(Nc+1, Nfilter);
+ f.rx_filter_memory = zeros(Nc+1, Nfilter);
+ f.Nrx_fdm_mem = Nfilter+M+M/P;
+ f.rx_fdm_mem = zeros(1,f.Nrx_fdm_mem);
+
+ f.snr_coeff = 0.9; % SNR est averaging filter coeff
+
+ % phasors used for up and down converters
+
+ f.freq = zeros(Nc+1,1);
+ f.freq_pol = zeros(Nc+1,1);
+
+ for c=1:Nc/2
+ carrier_freq = (-Nc/2 - 1 + c)*Fsep;
+ f.freq_pol(c) = 2*pi*carrier_freq/Fs;
+ f.freq(c) = exp(j*f.freq_pol(c));
+ end
+
+ for c=floor(Nc/2)+1:Nc
+ carrier_freq = (-Nc/2 + c)*Fsep;
+ f.freq_pol(c) = 2*pi*carrier_freq/Fs;
+ f.freq(c) = exp(j*f.freq_pol(c));
+ end
+
+ f.freq_pol(Nc+1) = 2*pi*0/Fs;
+ f.freq(Nc+1) = exp(j*f.freq_pol(Nc+1));
+
+ f.fbb_rect = exp(j*2*pi*f.Fcentre/Fs);
+ f.fbb_phase_tx = 1;
+ f.fbb_phase_rx = 1;
+
+ % Spread initial FDM carrier phase out as far as possible. This
+ % helped PAPR for a few dB. We don't need to adjust rx phase as DQPSK
+ % takes care of that.
+
+ f.phase_tx = ones(Nc+1,1);
+ f.phase_tx = exp(j*2*pi*(0:Nc)/(Nc+1));
+ f.phase_rx = ones(Nc+1,1);
+
+ % decimation filter
+
+ f.Nrxdec = 31;
+ % fir1() output appears to have changed from when coeffs used in C port were used
+ %f.rxdec_coeff = fir1(f.Nrxdec-1, 0.25);
+ f.rxdec_coeff = [-0.00125472 -0.00204605 -0.0019897 0.000163906 0.00490937 0.00986375 ...
+ 0.0096718 -0.000480351 -0.019311 -0.0361822 -0.0341251 0.000827866 ...
+ 0.0690577 0.152812 0.222115 0.249004 0.222115 0.152812 ...
+ 0.0690577 0.000827866 -0.0341251 -0.0361822 -0.019311 -0.000480351 ...
+ 0.0096718 0.00986375 0.00490937 0.000163906 -0.0019897 -0.00204605 ...
+ -0.00125472];
+
+ % we need room for Nrdec + the max nin, as we may need to filter max_min samples
+
+ f.Nrxdecmem = f.Nrxdec+M+M/P;
+ f.rxdec_lpf_mem = zeros(1,f.Nrxdecmem);
+ f.Q=M/4;
+
+ % freq offset estimation
+
+ f.Mpilotfft = 256;
+ f.Npilotcoeff = 30;
+
+ % here's how to make this filter from scratch, however it appeared to change over different
+ % octave versions so have hard coded to version used for C port
+ %f.pilot_coeff = fir1(f.Npilotcoeff-1, 200/(Fs/2))'; % 200Hz LPF
+ f.pilot_coeff = [0.00223001 0.00301037 0.00471258 0.0075934 0.0118145 0.0174153 ...
+ 0.0242969 0.0322204 0.0408199 0.0496286 0.0581172 0.0657392 ...
+ 0.0719806 0.0764066 0.0787022 0.0787022 0.0764066 0.0719806 ...
+ 0.0657392 0.0581172 0.0496286 0.0408199 0.0322204 0.0242969 ...
+ 0.0174153 0.0118145 0.0075934 0.00471258 0.00301037 0.00223001];
+
+ f.Npilotbaseband = f.Npilotcoeff + M + M/P; % number of pilot baseband samples
+ f.Npilotlpf = 4*M; % reqd for pilot LPF
+ % number of symbols we DFT pilot over
+ % pilot est window
+
+ % pilot LUT, used for copy of pilot at rx
+
+ f.pilot_lut = generate_pilot_lut(f);
+ f.pilot_lut_index = 1;
+ f.prev_pilot_lut_index = 3*M+1;
+
+ % Freq offset estimator states
+
+ f.pilot_baseband1 = zeros(1, f.Npilotbaseband); % pilot baseband samples
+ f.pilot_baseband2 = zeros(1, f.Npilotbaseband); % pilot baseband samples
+ f.pilot_lpf1 = zeros(1, f.Npilotlpf); % LPF pilot samples
+ f.pilot_lpf2 = zeros(1, f.Npilotlpf); % LPF pilot samples
+
+ % Timing estimator states
+
+ f.rx_filter_mem_timing = zeros(Nc+1, Nt*P);
+ f.rx_baseband_mem_timing = zeros(Nc+1, f.Nfiltertiming);
+
+ % Test bit stream state variables
+
+ f = init_test_bits(f);
+endfunction
+
+
+% generate Nc+1 PSK symbols from vector of (1,Nc*Nb) input bits. The
+% Nc+1 symbol is the +1 -1 +1 .... BPSK sync carrier
+
+function [tx_symbols f] = bits_to_psk(f, prev_tx_symbols, tx_bits)
+ Nc = f.Nc; Nb = f.Nb;
+ m4_gray_to_binary = [
+ bin2dec("00")
+ bin2dec("01")
+ bin2dec("11")
+ bin2dec("10")
+ ];
+ m8_gray_to_binary = [
+ bin2dec("000")
+ bin2dec("001")
+ bin2dec("011")
+ bin2dec("010")
+ bin2dec("111")
+ bin2dec("110")
+ bin2dec("100")
+ bin2dec("101")
+ ];
+
+ assert(length(tx_bits) == Nc*Nb, "Incorrect number of bits");
+
+ m = 2 .^ Nb;
+ assert((m == 4) || (m == 8));
+
+ for c=1:Nc
+
+ % extract bits for this symbol
+
+ bits_binary = tx_bits((c-1)*Nb+1:c*Nb);
+ bits_decimal = sum(bits_binary .* 2.^(Nb-1:-1:0));
+
+ % determine phase shift using gray code mapping
+
+ if m == 4
+ phase_shift = (2*pi/m)*m4_gray_to_binary(bits_decimal+1);
+ else
+ phase_shift = (2*pi/m)*m8_gray_to_binary(bits_decimal+1);
+ end
+
+ % apply phase shift from previous symbol
+
+ tx_symbols(c) = exp(j*phase_shift) * prev_tx_symbols(c);
+ end
+
+ % +1 -1 +1 -1 BPSK sync carrier, once filtered becomes two spectral
+ % lines at +/- Rs/2
+
+ if f.pilot_bit
+ tx_symbols(Nc+1) = -prev_tx_symbols(Nc+1);
+ else
+ tx_symbols(Nc+1) = prev_tx_symbols(Nc+1);
+ end
+ if f.pilot_bit
+ f.pilot_bit = 0;
+ else
+ f.pilot_bit = 1;
+ end
+
+endfunction
+
+% LP filter +/- 1000 Hz, allows us to perform rx filtering at a lower rate saving CPU
+
+function [rx_fdm_filter fdmdv] = rxdec_filter(fdmdv, rx_fdm, nin)
+ M = fdmdv.M;
+ Nrxdecmem = fdmdv.Nrxdecmem;
+ Nrxdec = fdmdv.Nrxdec;
+ rxdec_coeff = fdmdv.rxdec_coeff;
+ rxdec_lpf_mem = fdmdv.rxdec_lpf_mem;
+
+ % place latest nin samples at end of buffer
+
+ rxdec_lpf_mem(1:Nrxdecmem-nin) = rxdec_lpf_mem(nin+1:Nrxdecmem);
+ rxdec_lpf_mem(Nrxdecmem-nin+1:Nrxdecmem) = rx_fdm(1:nin);
+
+ % init room for nin output samples
+
+ rx_fdm_filter = zeros(1,nin);
+
+ % Move starting point for filter dot product to filter newest samples
+ % in buffer. This stuff makes my head hurt.
+
+ st = Nrxdecmem - nin - Nrxdec + 1;
+ for i=1:nin
+ a = st+1; b = st+i+Nrxdec-1;
+ %printf("nin: %d i: %d a: %d b: %d\n", nin, i, a, b);
+ rx_fdm_filter(i) = rxdec_lpf_mem(st+i:st+i+Nrxdec-1) * rxdec_coeff';
+ end
+
+ fdmdv.rxdec_lpf_mem = rxdec_lpf_mem;
+end
+
+
+% Combined down convert and rx filter, more memory efficient but less intuitive design
+% TODO: Decimate mem update and downconversion, this will save some more CPU and memory
+% note phase would have to advance 4 times as fast
+
+function [rx_filt fdmdv] = down_convert_and_rx_filter(fdmdv, rx_fdm, nin, dec_rate)
+ Nc = fdmdv.Nc;
+ M = fdmdv.M;
+ P = fdmdv.P;
+ rx_fdm_mem = fdmdv.rx_fdm_mem;
+ Nrx_fdm_mem = fdmdv.Nrx_fdm_mem;
+ phase_rx = fdmdv.phase_rx;
+ freq = fdmdv.freq;
+ freq_pol = fdmdv.freq_pol;
+ Nfilter = fdmdv.Nfilter;
+ gt_alpha5_root = fdmdv.gt_alpha5_root;
+ Q = fdmdv.Q;
+
+ % update memory of rx_fdm_mem, newest nin sample ast end of buffer
+
+ rx_fdm_mem(1:Nrx_fdm_mem-nin) = rx_fdm_mem(nin+1:Nrx_fdm_mem);
+ rx_fdm_mem(Nrx_fdm_mem-nin+1:Nrx_fdm_mem) = rx_fdm(1:nin);
+
+ for c=1:Nc+1
+
+ #{
+ So we have rx_fdm_mem, a baseband array of samples at
+ rate Fs Hz, including the last nin samples at the end. To
+ filter each symbol we require the baseband samples for all Nsym
+ symbols that we filter over. So we need to downconvert the
+ entire rx_fdm_mem array. To downconvert these we need the LO
+ phase referenced to the start of the rx_fdm_mem array.
+
+
+ <--------------- Nrx_filt_mem ------->
+ nin
+ |--------------------------|---------|
+ 1 |
+ phase_rx(c)
+
+ This means winding phase(c) back from this point
+ to ensure phase continuity.
+ #}
+
+ wind_back_phase = -freq_pol(c)*(Nfilter);
+ phase_rx(c) = phase_rx(c)*exp(j*wind_back_phase);
+
+ % down convert all samples in buffer
+
+ rx_baseband = zeros(1,Nrx_fdm_mem);
+
+ st = Nrx_fdm_mem; % end of buffer
+ st -= nin-1; % first new sample
+ st -= Nfilter; % first sample used in filtering
+
+ %printf("Nfilter: %d Nrx_fdm_mem: %d dec_rate: %d nin: %d st: %d\n",
+ % Nfilter, Nrx_fdm_mem, dec_rate, nin, st);
+
+ f_rect = freq(c) .^ dec_rate;
+
+ for i=st:dec_rate:Nrx_fdm_mem
+ phase_rx(c) = phase_rx(c) * f_rect;
+ rx_baseband(i) = rx_fdm_mem(i)*phase_rx(c)';
+ end
+
+ % now we can filter this carrier's P (+/-1) symbols. Due to
+ % filtering of rx_fdm we can filter at rate at rate M/Q
+
+ N=M/P; k = 1;
+ for i=1:N:nin
+ rx_filt(c,k) = (M/Q)*rx_baseband(st+i-1:dec_rate:st+i-1+Nfilter-1) * gt_alpha5_root(1:dec_rate:length(gt_alpha5_root))';
+ k+=1;
+ end
+ end
+
+ fdmdv.phase_rx = phase_rx;
+ fdmdv.rx_fdm_mem = rx_fdm_mem;
+endfunction
+
+
+% LPF and peak pick part of freq est, put in a function as we call it twice
+
+function [foff imax pilot_lpf_out S] = lpf_peak_pick(f, pilot_baseband, pilot_lpf, nin, do_fft)
+ M = f.M;
+ Npilotlpf = f.Npilotlpf;
+ Npilotbaseband = f.Npilotbaseband;
+ Npilotcoeff = f.Npilotcoeff;
+ Fs = f.Fs;
+ Mpilotfft = f.Mpilotfft;
+ pilot_coeff = f.pilot_coeff;
+
+ % LPF cutoff 200Hz, so we can handle max +/- 200 Hz freq offset
+
+ pilot_lpf(1:Npilotlpf-nin) = pilot_lpf(nin+1:Npilotlpf);
+ k = Npilotbaseband-nin+1;;
+ for i = Npilotlpf-nin+1:Npilotlpf
+ pilot_lpf(i) = pilot_baseband(k-Npilotcoeff+1:k) * pilot_coeff';
+ k++;
+ end
+
+ imax = 0;
+ foff = 0;
+ S = zeros(1, Mpilotfft);
+
+ if do_fft
+ % decimate to improve DFT resolution, window and DFT
+
+ Mpilot = Fs/(2*200); % calc decimation rate given new sample rate is twice LPF freq
+ h = hanning(Npilotlpf);
+ s = pilot_lpf(1:Mpilot:Npilotlpf) .* h(1:Mpilot:Npilotlpf)';
+ s = [s zeros(1,Mpilotfft-Npilotlpf/Mpilot)];
+ S = fft(s, Mpilotfft);
+
+ % peak pick and convert to Hz
+
+ [imax ix] = max(abs(S));
+ r = 2*200/Mpilotfft; % maps FFT bin to frequency in Hz
+
+ if ix > Mpilotfft/2
+ foff = (ix - Mpilotfft - 1)*r;
+ else
+ foff = (ix - 1)*r;
+ endif
+ end
+
+ pilot_lpf_out = pilot_lpf;
+
+endfunction
+
+
+% Estimate frequency offset of FDM signal using BPSK pilot. This is quite
+% sensitive to pilot tone level wrt other carriers
+
+function [foff S1 S2 f] = rx_est_freq_offset(f, rx_fdm, pilot, pilot_prev, nin, do_fft)
+ M = f.M;
+ Npilotbaseband = f.Npilotbaseband;
+ pilot_baseband1 = f.pilot_baseband1;
+ pilot_baseband2 = f.pilot_baseband2;
+ pilot_lpf1 = f.pilot_lpf1;
+ pilot_lpf2 = f.pilot_lpf2;
+
+ % down convert latest nin samples of pilot by multiplying by ideal
+ % BPSK pilot signal we have generated locally. The peak of the DFT
+ % of the resulting signal is sensitive to the time shift between the
+ % received and local version of the pilot, so we do it twice at
+ % different time shifts and choose the maximum.
+
+ pilot_baseband1(1:Npilotbaseband-nin) = pilot_baseband1(nin+1:Npilotbaseband);
+ pilot_baseband2(1:Npilotbaseband-nin) = pilot_baseband2(nin+1:Npilotbaseband);
+ for i=1:nin
+ pilot_baseband1(Npilotbaseband-nin+i) = rx_fdm(i) * conj(pilot(i));
+ pilot_baseband2(Npilotbaseband-nin+i) = rx_fdm(i) * conj(pilot_prev(i));
+ end
+
+ [foff1 max1 pilot_lpf1 S1] = lpf_peak_pick(f, pilot_baseband1, pilot_lpf1, nin, do_fft);
+ [foff2 max2 pilot_lpf2 S2] = lpf_peak_pick(f, pilot_baseband2, pilot_lpf2, nin, do_fft);
+
+ if max1 > max2
+ foff = foff1;
+ else
+ foff = foff2;
+ end
+
+ f.pilot_baseband1 = pilot_baseband1;
+ f.pilot_baseband2 = pilot_baseband2;
+ f.pilot_lpf1 = pilot_lpf1;
+ f.pilot_lpf2 = pilot_lpf2;
+endfunction
+
+% Experimental "feed forward" phase estimation function - estimates
+% phase over a windows of Nph (e.g. Nph = 9) symbols. May not work
+% well on HF channels but lets see. Has a phase ambiguity of m(pi/4)
+% where m=0,1,2 which needs to be corrected outside of this function
+
+function [phase_offsets ferr f] = rx_est_phase(f, rx_symbols)
+ global rx_symbols_mem;
+ global prev_phase_offsets;
+ global phase_amb;
+ Nph = f.Nph;
+ Nc = f.Nc;
+
+ % keep record of Nph symbols
+
+ rx_symbols_mem(:,1:Nph-1) = rx_symbols_mem(:,2:Nph);
+ rx_symbols_mem(:,Nph) = rx_symbols;
+
+ % estimate and correct phase offset based of modulation stripped samples
+
+ phase_offsets = zeros(Nc+1,1);
+ for c=1:Nc+1
+
+ % rotate QPSK constellation to a single point
+ mod_stripped = abs(rx_symbols_mem(c,:)) .* exp(j*4*angle(rx_symbols_mem(c,:)));
+
+ % find average phase offset, which will be on -pi/4 .. pi/4
+ sum_real = sum(real(mod_stripped));
+ sum_imag = sum(imag(mod_stripped));
+ phase_offsets(c) = atan2(sum_imag, sum_real)/4;
+
+ % determine if phase has jumped from - -> +
+ if (prev_phase_offsets(c) < -pi/8) && (phase_offsets(c) > pi/8)
+ phase_amb(c) -= pi/2;
+ if (phase_amb(c) < -pi)
+ phase_amb(c) += 2*pi;
+ end
+ end
+
+ % determine if phase has jumped from + -> -
+ if (prev_phase_offsets(c) > pi/8) && (phase_offsets(c) < -pi/8)
+ phase_amb(c) += pi/2;
+ if (phase_amb(c) > pi)
+ phase_amb(c) -= 2*pi;
+ end
+ end
+ end
+
+ ferr = mean(phase_offsets - prev_phase_offsets);
+ prev_phase_offsets = phase_offsets;
+
+endfunction
+
+
+% convert symbols back to an array of bits
+
+function [rx_bits sync_bit f_err phase_difference] = psk_to_bits(f, prev_rx_symbols, rx_symbols, modulation)
+ Nc = f.Nc;
+ Nb = f.Nb;
+
+ m4_binary_to_gray = [
+ bin2dec("00")
+ bin2dec("01")
+ bin2dec("11")
+ bin2dec("10")
+ ];
+
+ m8_binary_to_gray = [
+ bin2dec("000")
+ bin2dec("001")
+ bin2dec("011")
+ bin2dec("010")
+ bin2dec("110")
+ bin2dec("111")
+ bin2dec("101")
+ bin2dec("100")
+ ];
+
+ m = 2 .^ Nb;
+ assert((m == 4) || (m == 8));
+
+ phase_difference = zeros(Nc+1,1);
+ for c=1:Nc
+ norm = 1/(1E-6+abs(prev_rx_symbols(c)));
+ phase_difference(c) = rx_symbols(c) .* conj(prev_rx_symbols(c)) * norm;
+ end
+
+ for c=1:Nc
+ phase_difference(c) *= exp(j*pi/4);
+
+ if m == 4
+
+ % to get a good match between C and Octave during start up use same as C code
+
+ d = phase_difference(c);
+ if (real(d) >= 0) && (imag(d) >= 0)
+ msb = 0; lsb = 0;
+ end
+ if (real(d) < 0) && (imag(d) >= 0)
+ msb = 0; lsb = 1;
+ end
+ if (real(d) < 0) && (imag(d) < 0)
+ msb = 1; lsb = 1;
+ end
+ if (real(d) >= 0) && (imag(d) < 0)
+ msb = 1; lsb = 0;
+ end
+
+ rx_bits(2*(c-1)+1) = msb;
+ rx_bits(2*c) = lsb;
+ else
+ % determine index of constellation point received 0,1,...,m-1
+
+ index = floor(angle(phase_difference(c))*m/(2*pi) + 0.5);
+
+ if index < 0
+ index += m;
+ end
+
+ % map to decimal version of bits encoded in symbol
+
+ if m == 4
+ bits_decimal = m4_binary_to_gray(index+1);
+ else
+ bits_decimal = m8_binary_to_gray(index+1);
+ end
+
+ % convert back to an array of received bits
+
+ for i=1:Nb
+ if bitand(bits_decimal, 2.^(Nb-i))
+ rx_bits((c-1)*Nb+i) = 1;
+ else
+ rx_bits((c-1)*Nb+i) = 0;
+ end
+ end
+ end
+ end
+
+ assert(length(rx_bits) == Nc*Nb);
+
+ % Extract DBPSK encoded Sync bit
+
+ norm = 1/(1E-6+abs(prev_rx_symbols(Nc+1)));
+ phase_difference(Nc+1) = rx_symbols(Nc+1) * conj(prev_rx_symbols(Nc+1)) * norm;
+ if (real(phase_difference(Nc+1)) < 0)
+ sync_bit = 1;
+ f_err = imag(phase_difference(Nc+1))*norm; % make f_err magnitude insensitive
+ else
+ sync_bit = 0;
+ f_err = -imag(phase_difference(Nc+1))*norm;
+ end
+
+ % extra pi/4 rotation as we need for snr_update and scatter diagram
+
+ phase_difference(Nc+1) *= exp(j*pi/4);
+
+endfunction
+
+
+% given phase differences update estimates of signal and noise levels
+
+function [sig_est noise_est] = snr_update(f, sig_est, noise_est, phase_difference)
+ snr_coeff = f.snr_coeff;
+ Nc = f.Nc;
+
+ % mag of each symbol is distance from origin, this gives us a
+ % vector of mags, one for each carrier.
+
+ s = abs(phase_difference);
+
+ % signal mag estimate for each carrier is a smoothed version
+ % of instantaneous magntitude, this gives us a vector of smoothed
+ % mag estimates, one for each carrier.
+
+ sig_est = snr_coeff*sig_est + (1 - snr_coeff)*s;
+
+ %printf("s: %f sig_est: %f snr_coeff: %f\n", s(1), sig_est(1), snr_coeff);
+
+ % noise mag estimate is distance of current symbol from average
+ % location of that symbol. We reflect all symbols into the first
+ % quadrant for convenience.
+
+ refl_symbols = abs(real(phase_difference)) + j*abs(imag(phase_difference));
+ n = abs(exp(j*pi/4)*sig_est - refl_symbols);
+
+ % noise mag estimate for each carrier is a smoothed version of
+ % instantaneous noise mag, this gives us a vector of smoothed
+ % noise power estimates, one for each carrier.
+
+ noise_est = snr_coeff*noise_est + (1 - snr_coeff)*n;
+
+endfunction
+
+
+% calculate current sig estimate for eeach carrier
+
+function snr_dB = calc_snr(f, sig_est, noise_est)
+ Rs = f.Rs;
+
+ % find total signal power by summing power in all carriers
+
+ S = sum(sig_est .^2);
+ SdB = 10*log10(S);
+
+ % Average noise mag across all carriers and square to get an average
+ % noise power. This is an estimate of the noise power in Rs = 50Hz of
+ % BW (note for raised root cosine filters Rs is the noise BW of the
+ % filter)
+
+ N50 = mean(noise_est).^2;
+ N50dB = 10*log10(N50);
+
+ % Now multiply by (3000 Hz)/(50 Hz) to find the total noise power in
+ % 3000 Hz
+
+ N3000dB = N50dB + 10*log10(3000/Rs);
+
+ snr_dB = SdB - N3000dB;
+
+endfunction
+
+
+% sets up test bits system. make sure rand('state', 1) has just beed called
+% so we generate the right test_bits pattern!
+
+function f = init_test_bits(f)
+ f.Ntest_bits = f.Nc*f.Nb*4; % length of test sequence
+ f.test_bits = rand(1,f.Ntest_bits) > 0.5; % test pattern of bits
+ f.current_test_bit = 1;
+ f.rx_test_bits_mem = zeros(1,f.Ntest_bits);
+endfunction
+
+
+% returns nbits from a repeating sequence of random data
+
+function [bits f] = get_test_bits(f, nbits)
+
+ for i=1:nbits
+ bits(i) = f.test_bits(f.current_test_bit++);
+
+ if (f.current_test_bit > f.Ntest_bits)
+ f.current_test_bit = 1;
+ endif
+ end
+
+endfunction
+
+
+% Accepts nbits from rx and attempts to sync with test_bits sequence.
+% if sync OK measures bit errors
+
+function [sync bit_errors error_pattern f] = put_test_bits(f, test_bits, rx_bits)
+ Ntest_bits = f.Ntest_bits;
+ rx_test_bits_mem = f.rx_test_bits_mem;
+
+ % Append to our memory
+
+ [m n] = size(rx_bits);
+ f.rx_test_bits_mem(1:f.Ntest_bits-n) = f.rx_test_bits_mem(n+1:f.Ntest_bits);
+ f.rx_test_bits_mem(f.Ntest_bits-n+1:f.Ntest_bits) = rx_bits;
+
+ % see how many bit errors we get when checked against test sequence
+
+ error_pattern = xor(test_bits, f.rx_test_bits_mem);
+ bit_errors = sum(error_pattern);
+
+ % if less than a thresh we are aligned and in sync with test sequence
+
+ ber = bit_errors/f.Ntest_bits;
+
+ sync = 0;
+ if (ber < 0.2)
+ sync = 1;
+ endif
+endfunction
+
+% Generate M samples of DBPSK pilot signal for Freq offset estimation
+
+function [pilot_fdm bit symbol filter_mem phase] = generate_pilot_fdm(f, bit, symbol, filter_mem, phase, freq)
+ M = f.M;
+ Nfilter = f.Nfilter;
+ gt_alpha5_root = f.gt_alpha5_root;
+
+ % +1 -1 +1 -1 DBPSK sync carrier, once filtered becomes two spectral
+ % lines at +/- Rs/2
+
+ if bit
+ symbol = -symbol;
+ else
+ symbol = symbol;
+ end
+ if bit
+ bit = 0;
+ else
+ bit = 1;
+ end
+
+ % filter DPSK symbol to create M baseband samples
+
+ filter_mem(Nfilter) = (sqrt(2)/2)*symbol;
+ for i=1:M
+ tx_baseband(i) = M*filter_mem(M:M:Nfilter) * gt_alpha5_root(M-i+1:M:Nfilter)';
+ end
+ filter_mem(1:Nfilter-M) = filter_mem(M+1:Nfilter);
+ filter_mem(Nfilter-M+1:Nfilter) = zeros(1,M);
+
+ % upconvert
+
+ for i=1:M
+ phase = phase * freq;
+ pilot_fdm(i) = sqrt(2)*2*tx_baseband(i)*phase;
+ end
+
+endfunction
+
+
+% Generate a 4M sample vector of DBPSK pilot signal. As the pilot signal
+% is periodic in 4M samples we can then use this vector as a look up table
+% for pilot signal generation in the demod.
+
+function pilot_lut = generate_pilot_lut(f)
+ Nc = f.Nc;
+ Nfilter = f.Nfilter;
+ M = f.M;
+ freq = f.freq;
+
+ % pilot states
+
+ pilot_rx_bit = 0;
+ pilot_symbol = sqrt(2);
+ pilot_freq = freq(Nc+1);
+ pilot_phase = 1;
+ pilot_filter_mem = zeros(1, Nfilter);
+ %prev_pilot = zeros(M,1);
+
+ pilot_lut = [];
+
+ F=8;
+
+ for fr=1:F
+ [pilot pilot_rx_bit pilot_symbol pilot_filter_mem pilot_phase] = generate_pilot_fdm(f, pilot_rx_bit, pilot_symbol, pilot_filter_mem, pilot_phase, pilot_freq);
+ %prev_pilot = pilot;
+ pilot_lut = [pilot_lut pilot];
+ end
+
+ % discard first 4 symbols as filter memory is filling, just keep last
+ % four symbols
+
+ pilot_lut = pilot_lut(4*M+1:M*F);
+
+endfunction
+
+
+% grab next pilot samples for freq offset estimation at demod
+
+function [pilot prev_pilot pilot_lut_index prev_pilot_lut_index] = get_pilot(f, pilot_lut_index, prev_pilot_lut_index, nin)
+ M = f.M;
+ pilot_lut = f.pilot_lut;
+
+ for i=1:nin
+ pilot(i) = pilot_lut(pilot_lut_index);
+ pilot_lut_index++;
+ if pilot_lut_index > 4*M
+ pilot_lut_index = 1;
+ end
+ prev_pilot(i) = pilot_lut(prev_pilot_lut_index);
+ prev_pilot_lut_index++;
+ if prev_pilot_lut_index > 4*M
+ prev_pilot_lut_index = 1;
+ end
+ end
+endfunction
+
+
+% freq offset state machine. Moves between acquire and track states based
+% on BPSK pilot sequence. Freq offset estimator occasionally makes mistakes
+% when used continuously. So we use it until we have acquired the BPSK pilot,
+% then switch to a more robust tracking algorithm. If we lose sync we switch
+% back to acquire mode for fast-requisition.
+
+function [sync reliable_sync_bit state timer sync_mem] = freq_state(f, sync_bit, state, timer, sync_mem)
+ Nsync_mem = f.Nsync_mem;
+ sync_uw = f.sync_uw;
+
+ % look for 6 symbol (120ms) 010101 of sync sequence
+
+ unique_word = 0;
+ for i=1:Nsync_mem-1
+ sync_mem(i) = sync_mem(i+1);
+ end
+ sync_mem(Nsync_mem) = 1 - 2*sync_bit;
+ corr = 0;
+ for i=1:Nsync_mem
+ corr += sync_mem(i)*sync_uw(i);
+ end
+ if abs(corr) == Nsync_mem
+ unique_word = 1;
+ end
+ reliable_sync_bit = (corr == Nsync_mem);
+
+ % iterate state machine
+
+ next_state = state;
+ if state == 0
+ if unique_word
+ next_state = 1;
+ timer = 0;
+ end
+ end
+ if state == 1
+ if unique_word
+ timer++;
+ if timer == 25 % sync has been good for 500ms
+ next_state = 2;
+ end
+ else
+ next_state = 0;
+ end
+ end
+ if state == 2 % good sync state
+ if unique_word == 0
+ timer = 0;
+ next_state = 3;
+ end
+ end
+ if state == 3 % tenative bad state, but could be a fade
+ if unique_word
+ next_state = 2;
+ else
+ timer++;
+ if timer == 50 % wait for 1000ms in case sync comes back
+ next_state = 0;
+ end
+ end
+ end
+
+ %printf("corr: % -d state: %d next_state: %d uw: %d timer: %d\n", corr, state, next_state, unique_word, timer);
+ state = next_state;
+
+ if state
+ sync = 1;
+ else
+ sync = 0;
+ end
+endfunction
+
+% Save test bits to a text file in the form of a C array
+
+function test_bits_file(filename)
+ global test_bits;
+ global Ntest_bits;
+
+ f=fopen(filename,"wt");
+ fprintf(f,"/* Generated by test_bits_file() Octave function */\n\n");
+ fprintf(f,"const int test_bits[]={\n");
+ for m=1:Ntest_bits-1
+ fprintf(f," %d,\n",test_bits(m));
+ endfor
+ fprintf(f," %d\n};\n",test_bits(Ntest_bits));
+ fclose(f);
+endfunction
+
+
+% Saves RN filter coeffs to a text file in the form of a C array
+
+function rn_file(gt_alpha5_root, filename)
+ Nfilter = length(gt_alpha5_root);
+
+ f=fopen(filename,"wt");
+ fprintf(f,"/* Generated by rn_file() Octave function */\n\n");
+ fprintf(f,"const float gt_alpha5_root[]={\n");
+ for m=1:Nfilter-1
+ fprintf(f," %g,\n",gt_alpha5_root(m));
+ endfor
+ fprintf(f," %g\n};\n",gt_alpha5_root(Nfilter));
+ fclose(f);
+endfunction
+
+
+% Saves rx decimation filter coeffs to a text file in the form of a C array
+
+function rxdec_file(fdmdv, filename)
+ rxdec_coeff = fdmdv.rxdec_coeff;
+ Nrxdec = fdmdv.Nrxdec;
+
+ f=fopen(filename,"wt");
+ fprintf(f,"/* Generated by rxdec_file() Octave function */\n\n");
+ fprintf(f,"const float rxdec_coeff[]={\n");
+ for m=1:Nrxdec-1
+ fprintf(f," %g,\n",rxdec_coeff(m));
+ endfor
+ fprintf(f," %g\n};\n",rxdec_coeff(Nrxdec));
+ fclose(f);
+endfunction
+
+
+function pilot_coeff_file(fdmdv, filename)
+ pilot_coeff = fdmdv.pilot_coeff;
+ Npilotcoeff = fdmdv.Npilotcoeff;
+
+ f=fopen(filename,"wt");
+ fprintf(f,"/* Generated by pilot_coeff_file() Octave function */\n\n");
+ fprintf(f,"const float pilot_coeff[]={\n");
+ for m=1:Npilotcoeff-1
+ fprintf(f," %g,\n",pilot_coeff(m));
+ endfor
+ fprintf(f," %g\n};\n",pilot_coeff(Npilotcoeff));
+ fclose(f);
+endfunction
+
+
+% Saves hanning window coeffs to a text file in the form of a C array
+
+function hanning_file(fdmdv, filename)
+ Npilotlpf = fdmdv.Npilotlpf;
+
+ h = hanning(Npilotlpf);
+
+ f=fopen(filename,"wt");
+ fprintf(f,"/* Generated by hanning_file() Octave function */\n\n");
+ fprintf(f,"const float hanning[]={\n");
+ for m=1:Npilotlpf-1
+ fprintf(f," %g,\n", h(m));
+ endfor
+ fprintf(f," %g\n};\n", h(Npilotlpf));
+ fclose(f);
+endfunction
+
+
+function png_file(fig, pngfilename)
+ figure(fig);
+
+ pngname = sprintf("%s.png",pngfilename);
+ print(pngname, '-dpng', "-S500,500")
+ pngname = sprintf("%s_large.png",pngfilename);
+ print(pngname, '-dpng', "-S800,600")
+endfunction
+
+
+% dump rx_bits in hex
+
+function dump_bits(rx_bits)
+
+ % pack into bytes, MSB first
+
+ packed = zeros(1,floor(length(rx_bits)+7)/8);
+ bit = 7; byte = 1;
+ for i=1:length(rx_bits)
+ packed(byte) = bitor(packed(byte), bitshift(rx_bits(i),bit));
+ bit--;
+ if (bit < 0)
+ bit = 7;
+ byte++;
+ end
+ end
+
+ for i=1:length(packed)
+ printf("0x%02x ", packed(i));
+ end
+ printf("\n");
+
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/fdmdv_common.m b/libcodec2-android/src/codec2/octave/fdmdv_common.m
new file mode 100644
index 0000000..80fbacb
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fdmdv_common.m
@@ -0,0 +1,221 @@
+% fdmdv_common.m
+%
+% Functions that implement a Frequency Divison Multiplexed Modem functions
+%
+
+1;
+
+% Given Nc symbols construct M samples (1 symbol) of Nc filtered
+% symbols streams
+
+function [tx_baseband fdmdv] = tx_filter(fdmdv, tx_symbols)
+ Nc = fdmdv.Nc;
+ M = fdmdv.M;
+ tx_filter_memory = fdmdv.tx_filter_memory;
+ Nfilter = fdmdv.Nfilter;
+ gt_alpha5_root = fdmdv.gt_alpha5_root;
+
+ tx_baseband = zeros(Nc+1,M);
+
+ % tx filter each symbol, generate M filtered output samples for each symbol.
+ % Efficient polyphase filter techniques used as tx_filter_memory is sparse
+
+ tx_filter_memory(:,Nfilter) = sqrt(2)/2*tx_symbols;
+
+ for i=1:M
+ tx_baseband(:,i) = M*tx_filter_memory(:,M:M:Nfilter) * gt_alpha5_root(M-i+1:M:Nfilter)';
+ end
+ tx_filter_memory(:,1:Nfilter-M) = tx_filter_memory(:,M+1:Nfilter);
+ tx_filter_memory(:,Nfilter-M+1:Nfilter) = zeros(Nc+1,M);
+
+ fdmdv.tx_filter_memory = tx_filter_memory;
+endfunction
+
+% Construct FDM signal by frequency shifting each filtered symbol
+% stream. Returns complex signal so we can apply frequency offsets
+% easily.
+
+function [tx_fdm fdmdv] = fdm_upconvert(fdmdv, tx_filt)
+ Fs = fdmdv.Fs;
+ M = fdmdv.M;
+ Nc = fdmdv.Nc;
+ Fsep = fdmdv.Fsep;
+ phase_tx = fdmdv.phase_tx;
+ freq = fdmdv.freq;
+ fbb_rect = fdmdv.fbb_rect;
+ fbb_phase_tx = fdmdv.fbb_phase_tx;
+
+ tx_fdm = zeros(1,M);
+
+ % Nc+1 tones
+
+ for c=1:Nc+1
+ for i=1:M
+ phase_tx(c) = phase_tx(c) * freq(c);
+ tx_fdm(i) = tx_fdm(i) + tx_filt(c,i)*phase_tx(c);
+ end
+ end
+
+ % shift up to carrier freq
+
+ for i=1:M
+ fbb_phase_tx *= fbb_rect;
+ tx_fdm(i) = tx_fdm(i) * fbb_phase_tx;
+ end
+
+ % Scale such that total Carrier power C of real(tx_fdm) = Nc. This
+ % excludes the power of the pilot tone.
+ % We return the complex (single sided) signal to make frequency
+ % shifting for the purpose of testing easier
+
+ tx_fdm = 2*tx_fdm;
+
+ % normalise digital oscillators as the magnitude can drift over time
+
+ for c=1:Nc+1
+ mag = abs(phase_tx(c));
+ phase_tx(c) /= mag;
+ end
+ mag = abs(fbb_phase_tx);
+ fbb_phase_tx /= mag;
+
+ fdmdv.fbb_phase_tx = fbb_phase_tx;
+ fdmdv.phase_tx = phase_tx;
+endfunction
+
+% complex freq shifting helper function
+
+function [out phase] = freq_shift(in, freqHz, Fs, phase)
+ freq_rect = exp(j*2*pi*freqHz/Fs);
+
+ out = zeros(1, length(in));
+ for r=1:length(in)
+ phase *= freq_rect;
+ out(r) = in(r)*phase;
+ end
+
+ mag = abs(phase);
+ phase /= mag;
+endfunction
+
+% Frequency shift each modem carrier down to Nc+1 baseband signals
+
+function [rx_baseband fdmdv] = fdm_downconvert(fdmdv, rx_fdm, nin)
+ Fs = fdmdv.Fs;
+ M = fdmdv.M;
+ Nc = fdmdv.Nc;
+ phase_rx = fdmdv.phase_rx;
+ freq = fdmdv.freq;
+
+ rx_baseband = zeros(Nc+1,nin);
+
+ for c=1:Nc+1
+ for i=1:nin
+ phase_rx(c) = phase_rx(c) * freq(c);
+ rx_baseband(c,i) = rx_fdm(i)*phase_rx(c)';
+ end
+ end
+
+ for c=1:Nc+1
+ mag = abs(phase_rx(c));
+ phase_rx(c) /= mag;
+ end
+
+ fdmdv.phase_rx = phase_rx;
+endfunction
+
+% Receive filter each baseband signal at oversample rate P
+
+function [rx_filt fdmdv] = rx_filter(fdmdv, rx_baseband, nin)
+ Nc = fdmdv.Nc;
+ M = fdmdv.M;
+ P = fdmdv.P;
+ rx_filter_memory = fdmdv.rx_filter_memory;
+ Nfilter = fdmdv.Nfilter;
+ gt_alpha5_root = fdmdv.gt_alpha5_root;
+
+ rx_filt = zeros(Nc+1,nin*P/M);
+
+ % rx filter each symbol, generate P filtered output samples for each symbol.
+ % Note we keep memory at rate M, it's just the filter output at rate P
+
+ assert(mod(M,P)==0);
+ N=M/P;
+ j=1;
+ for i=1:N:nin
+ rx_filter_memory(:,Nfilter-N+1:Nfilter) = rx_baseband(:,i:i-1+N);
+ rx_filt(:,j) = rx_filter_memory * gt_alpha5_root';
+ rx_filter_memory(:,1:Nfilter-N) = rx_filter_memory(:,1+N:Nfilter);
+ j+=1;
+ end
+
+ fdmdv.rx_filter_memory = rx_filter_memory;
+endfunction
+
+% Estimate optimum timing offset, re-filter receive symbols
+
+function [rx_symbols rx_timing_M env fdmdv] = rx_est_timing(fdmdv, rx_filt, nin)
+ M = fdmdv.M;
+ Nt = fdmdv.Nt;
+ Nc = fdmdv.Nc;
+ rx_filter_mem_timing = fdmdv.rx_filter_mem_timing;
+ P = fdmdv.P;
+ Nfilter = fdmdv.Nfilter;
+ Nfiltertiming = fdmdv.Nfiltertiming;
+
+ % nin adjust
+ % --------------------------------
+ % 120 -1 (one less rate P sample)
+ % 160 0 (nominal)
+ % 200 1 (one more rate P sample)
+
+ adjust = P - nin*P/M;
+
+ % update buffer of Nt rate P filtered symbols
+
+ rx_filter_mem_timing(:,1:(Nt-1)*P+adjust) = rx_filter_mem_timing(:,P+1-adjust:Nt*P);
+ rx_filter_mem_timing(:,(Nt-1)*P+1+adjust:Nt*P) = rx_filt(:,:);
+
+ % sum envelopes of all carriers
+
+ env = sum(abs(rx_filter_mem_timing(:,:))); % use all Nc+1 carriers for timing
+ %env = abs(rx_filter_mem_timing(Nc+1,:)); % just use BPSK pilot
+ [n m] = size(env);
+
+ % The envelope has a frequency component at the symbol rate. The
+ % phase of this frequency component indicates the timing. So work out
+ % single DFT at frequency 2*pi/P
+
+ x = env * exp(-j*2*pi*(0:m-1)/P)';
+
+ norm_rx_timing = angle(x)/(2*pi);
+ rx_timing = norm_rx_timing*P + P/4;
+ if (rx_timing > P)
+ rx_timing -= P;
+ end
+ if (rx_timing < -P)
+ rx_timing += P;
+ end
+
+ % rx_filter_mem_timing contains Nt*P samples (Nt symbols at rate P),
+ % where Nt is odd. Lets use linear interpolation to resample in the
+ % centre of the timing estimation window
+
+ rx_timing += floor(Nt/2)*P;
+ low_sample = floor(rx_timing);
+ fract = rx_timing - low_sample;
+ high_sample = ceil(rx_timing);
+ %printf("rx_timing: %f low_sample: %f high_sample: %f fract: %f\n", rx_timing, low_sample, high_sample, fract);
+
+ rx_symbols = rx_filter_mem_timing(:,low_sample)*(1-fract) + rx_filter_mem_timing(:,high_sample)*fract;
+ % rx_symbols = rx_filter_mem_timing(:,high_sample+1);
+
+ % This value will be +/- half a symbol so will wrap around at +/-
+ % M/2 or +/- 80 samples with M=160
+
+ rx_timing_M = norm_rx_timing*M;
+
+ fdmdv.rx_filter_mem_timing = rx_filter_mem_timing;
+endfunction
+
+
diff --git a/libcodec2-android/src/codec2/octave/fdmdv_demod.m b/libcodec2-android/src/codec2/octave/fdmdv_demod.m
new file mode 100644
index 0000000..7f4e4cf
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fdmdv_demod.m
@@ -0,0 +1,365 @@
+% fdmdv_demod.m
+%
+% Demodulator function for FDMDV modem (Octave version). Requires
+% 8kHz sample rate raw files as input
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+
+function fdmdv_demod(rawfilename, nbits, NumCarriers=14, errorpatternfilename, symbolfilename)
+
+ fdmdv; % include modem code
+ f = fdmdv_init(NumCarriers);
+ Nc = f.Nc; Nb = f.Nb; Rs = f.Rs; M = f.M; Fs = f.Fs; Nsync_mem = f.Nsync_mem;
+ test_bits = f.test_bits; Q = f.Q; P = f.P;
+
+ modulation = 'dqpsk';
+
+ fin = fopen(rawfilename, "rb");
+ gain = 1000;
+ frames = nbits/(Nc*Nb);
+
+ prev_rx_symbols = ones(Nc+1,1);
+ foff_phase_rect = 1;
+
+ % BER stats
+
+ total_bit_errors = 0;
+ total_bits = 0;
+ bit_errors_log = [];
+ sync_log = [];
+ test_frame_sync_log = [];
+ test_frame_sync_state = 0;
+ error_pattern_log = [];
+
+ % SNR states
+
+ sig_est = zeros(Nc+1,1);
+ noise_est = zeros(Nc+1,1);
+
+ % logs of various states for plotting
+
+ rx_symbols_log = [];
+ rx_timing_log = [];
+ foff_coarse_log = [];
+ foff_log = [];
+ rx_fdm_log = [];
+ snr_est_log = [];
+
+ % misc states
+
+ nin = M; % timing correction for sample rate differences
+ foff = 0;
+
+ fest_state = 0;
+ fest_timer = 0;
+ sync_mem = zeros(1,Nsync_mem);
+ sync = 0;
+ sync_log = [];
+
+ % spectrum states
+
+ Nspec=1024;
+ spec_mem=zeros(1,Nspec);
+ SdB = zeros(1,Nspec);
+
+ % optionally save output symbols
+
+ if nargin == 5
+ fm = fopen(symbolfilename,"wb");
+ dual_rx_symbols = zeros(1, 2*Nc);
+ dual_rx_bits = zeros(1,2*Nc*Nb);
+ end
+
+ atimer = 0;
+
+ % Main loop ----------------------------------------------------
+
+ for fr=1:frames
+
+ % obtain nin samples of the test input signal
+
+ for i=1:nin
+ rx_fdm(i) = fread(fin, 1, "short")/gain;
+ end
+
+ rx_fdm_log = [rx_fdm_log rx_fdm(1:nin)];
+
+ % update spectrum
+
+ l=length(rx_fdm);
+ spec_mem(1:Nspec-l) = spec_mem(l+1:Nspec);
+ spec_mem(Nspec-l+1:Nspec) = rx_fdm;
+ S=fft(spec_mem.*hanning(Nspec)',Nspec);
+ SdB = 0.9*SdB + 0.1*20*log10(abs(S));
+
+ % shift down to complex baseband
+
+ for i=1:nin
+ f.fbb_phase_rx = f.fbb_phase_rx*f.fbb_rect';
+ rx_fdm(i) = rx_fdm(i)*f.fbb_phase_rx;
+ end
+ mag = abs(f.fbb_phase_rx);
+ f.fbb_phase_rx /= mag;
+
+ % frequency offset estimation and correction
+
+ [pilot prev_pilot f.pilot_lut_index f.prev_pilot_lut_index] = get_pilot(f, f.pilot_lut_index, f.prev_pilot_lut_index, nin);
+ [foff_coarse S1 S2 f] = rx_est_freq_offset(f, rx_fdm, pilot, prev_pilot, nin, !sync );
+
+ if sync == 0
+ foff = foff_coarse;
+ end
+ foff_coarse_log = [foff_coarse_log foff_coarse];
+
+ foff_rect = exp(j*2*pi*foff/Fs);
+
+ for i=1:nin
+ foff_phase_rect *= foff_rect';
+ rx_fdm_fcorr(i) = rx_fdm(i)*foff_phase_rect;
+ end
+
+ % baseband processing
+
+ if 0
+ % easier to understand, but more memory and CPU hungry filtering and down conversion
+
+ [rx_baseband f] = fdm_downconvert(f, rx_fdm_fcorr, nin);
+ [rx_filt f] = rx_filter(f, rx_baseband, nin);
+ else
+ % more efficient filtering and down conversion
+
+ [rx_fdm_filter f] = rxdec_filter(f, rx_fdm_fcorr, nin);
+ [rx_filt f] = down_convert_and_rx_filter(f, rx_fdm_filter, nin, M/Q);
+ end
+
+ [rx_symbols rx_timing env f] = rx_est_timing(f, rx_filt, nin);
+ rx_timing_log = [rx_timing_log rx_timing];
+
+ nin = M;
+ if rx_timing > M/P
+ nin += M/P;
+ end
+ if rx_timing < -M/P;
+ nin -= M/P;
+ end
+ %printf("fr: %d rx_timing: %d nin = %d\n", fr, rx_timing, nin);
+
+ rx_symbols_log = [rx_symbols_log rx_symbols.*conj(prev_rx_symbols./abs(prev_rx_symbols))*exp(j*pi/4)];
+ [rx_bits sync_bit f_err pd] = psk_to_bits(f, prev_rx_symbols, rx_symbols, modulation);
+
+ % optionally save output symbols
+
+ if (nargin == 5)
+
+ % this free runs, and is reset by an "entered sync" state
+
+ if (sync_track == 0)
+ sync_track = 1;
+ else
+ sync_track = 0;
+ end
+
+ if (track == 1) && (sync_track == 1)
+ dual_rx_symbols(Nc+1:2*Nc) = rx_symbols(1:Nc).*conj(prev_rx_symbols(1:Nc)./abs(prev_rx_symbols(1:Nc)));
+ dual_rx_symbols_float32 = []; k = 1;
+ for i=1:2*Nc
+ dual_rx_symbols_float32(k++) = real(dual_rx_symbols(i));
+ dual_rx_symbols_float32(k++) = imag(dual_rx_symbols(i));
+ end
+ fwrite(fm, dual_rx_symbols_float32, "float32");
+ dual_rx_bits(Nc*Nb+1:2*Nc*Nb) = rx_bits;
+ %dump_bits(dual_rx_bits);
+ else
+ dual_rx_symbols(1:Nc) = rx_symbols(1:Nc).*conj(prev_rx_symbols(1:Nc)./abs(prev_rx_symbols(1:Nc)));
+ dual_rx_bits(1:Nc*Nb) = rx_bits;
+ end
+ end
+
+ % update some states
+
+ prev_rx_symbols = rx_symbols;
+ [sig_est noise_est] = snr_update(f, sig_est, noise_est, pd);
+ snr_est = calc_snr(f, sig_est, noise_est);
+ snr_est_log = [snr_est_log snr_est];
+ foff -= 0.5*f_err;
+ foff_log = [foff_log foff];
+
+ % freq est state machine
+
+ [sync reliable_sync_bit fest_state fest_timer sync_mem] = freq_state(f, sync_bit, fest_state, fest_timer, sync_mem);
+ sync_log = [sync_log sync];
+
+ % count bit errors if we find a test frame
+
+ [test_frame_sync bit_errors error_pattern f] = put_test_bits(f, test_bits, rx_bits);
+ if (test_frame_sync == 1)
+ if (bit_errors)
+ printf("fr: %d bit_errors: %d\n", fr, bit_errors);
+ end
+ total_bit_errors = total_bit_errors + bit_errors;
+ total_bits = total_bits + f.Ntest_bits;
+ bit_errors_log = [bit_errors_log bit_errors/f.Ntest_bits];
+ else
+ bit_errors_log = [bit_errors_log 0];
+ end
+
+ % test frame sync state machine, just for more informative plots
+
+ next_test_frame_sync_state = test_frame_sync_state;
+ if (test_frame_sync_state == 0)
+ if (test_frame_sync == 1)
+ next_test_frame_sync_state = 1;
+ test_frame_count = 0;
+ end
+ end
+
+ if (test_frame_sync_state == 1)
+ % we only expect another test_frame_sync pulse every 4 symbols
+ test_frame_count++;
+ if (test_frame_count == 4)
+ test_frame_count = 0;
+ if ((test_frame_sync == 0))
+ next_test_frame_sync_state = 0;
+ else
+ error_pattern_log = [error_pattern_log error_pattern];
+ end
+ end
+ end
+
+ test_frame_sync_state = next_test_frame_sync_state;
+ test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
+ end
+
+ if nargin == 5
+ fclose(fm);
+ etfilename = strcat(strtok(symbolfilename,"."),"_et.bin");
+ fet = fopen(etfilename, "wb");
+ fwrite(fet, entered_track_log, "short");
+ fclose(fet);
+ end
+
+ % ---------------------------------------------------------------------
+ % Print Stats
+ % ---------------------------------------------------------------------
+
+ % Peak to Average Power Ratio calcs from http://www.dsplog.com
+
+ papr = max(rx_fdm_log.*conj(rx_fdm_log)) / mean(rx_fdm_log.*conj(rx_fdm_log));
+ papr_dB = 10*log10(papr);
+
+ ber = total_bit_errors / total_bits;
+ printf("%d bits %d errors BER: %1.4f PAPR(rx): %1.2f dB\n",total_bits, total_bit_errors, ber, papr_dB);
+
+ % ---------------------------------------------------------------------
+ % Plots
+ % ---------------------------------------------------------------------
+
+ xt = (1:frames)/Rs;
+ secs = frames/Rs;
+
+ figure(1); clf;
+ [n m] = size(rx_symbols_log);
+ plot(real(rx_symbols_log(1:Nc+1,15:m)),imag(rx_symbols_log(1:Nc+1,15:m)),'+')
+ axis([-2 2 -2 2]);
+ title('Scatter Diagram');
+
+ figure(2); clf;
+ plot(xt, rx_timing_log)
+ title('timing offset (samples)');
+
+ figure(3);
+ plot(xt, foff_log, '-;freq offset;')
+ %hold on;
+ %plot(xt, sync_log*75, 'r;course-fine;');
+ %hold off;
+ title('Freq offset (Hz)');
+ grid;
+
+ figure(4); clf;
+ plot_specgram(rx_fdm_log, Fs);
+
+ figure(5); clf;
+ subplot(311)
+ stem(xt, sync_log)
+ axis([0 secs 0 1.5]);
+ title('BPSK Sync')
+ subplot(312)
+ stem(xt, bit_errors_log);
+ title('Bit Errors for test frames')
+ subplot(313)
+ plot(xt, test_frame_sync_log);
+ axis([0 secs 0 1.5]);
+ title('Test Frame Sync')
+
+ figure(6); clf;
+ subplot(211);
+ plot(xt, snr_est_log);
+ title('SNR Estimates')
+ subplot(212)
+ snrdB_pc = 20*log10(sig_est(1:Nc+1)) - 20*log10(noise_est(1:Nc+1));
+ bar(snrdB_pc(1:Nc) - mean(snrdB_pc(1:Nc)))
+ axis([0 Nc+1 -3 3]);
+
+ figure(7); clf;
+ hold on;
+ lep = length(error_pattern_log);
+ if lep != 0
+ for p=1:Nc
+ plot(p + 0.25*error_pattern_log((p-1)*2+1:Nc*Nb:lep));
+ plot(0.30 + p + 0.25*error_pattern_log(p*2:Nc*Nb:lep),'r')
+ end
+ hold off;
+ axis([1 lep/(Nc*Nb) 0 Nc])
+ end
+
+ figure(8); clf;
+ subplot(211)
+ [a b] = size(rx_fdm_log);
+ xt1 = (1:b)/Fs;
+ plot(xt1, rx_fdm_log);
+ title('Rx FDM Signal');
+ subplot(212)
+ plot((0:Nspec/2-1)*Fs/Nspec, SdB(1:Nspec/2) - 20*log10(Nspec/2))
+ axis([0 Fs/2 -40 0])
+ grid
+ title('FDM Rx Spectrum');
+
+if 0
+ % interleaving tests
+
+ load ../unittest/inter560.txt
+ lep = length(error_pattern_log);
+ lep = floor(lep/560)*560;
+ error_pattern_log_inter = zeros(1,lep);
+ for i=1:560:lep
+ for j=1:560
+ %printf("i: %4d j: %4d inter560(j): %4d\n", i,j,inter560(j));
+ index = inter560(j);
+ error_pattern_log_inter(i-1+index+1) = error_pattern_log(i-1+j);
+ end
+ end
+
+ figure(8)
+ clf;
+ hold on;
+ for p=1:Nc
+ plot(p + 0.25*error_pattern_log_inter((p-1)*2+1:Nc*Nb:lep));
+ plot(0.30 + p + 0.25*error_pattern_log_inter(p*2:Nc*Nb:lep),'r')
+ end
+ hold off;
+ axis([1 lep/(Nc*Nb) 0 Nc])
+end
+
+ % optionally save error pattern file
+
+ if nargin == 4
+ fout = fopen(errorpatternfilename, "wb");
+ fwrite(fout, error_pattern_log, "short");
+ fclose(fout);
+ end
+
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/fdmdv_demod_c.m b/libcodec2-android/src/codec2/octave/fdmdv_demod_c.m
new file mode 100644
index 0000000..540ec1a
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fdmdv_demod_c.m
@@ -0,0 +1,135 @@
+% fdmdv_demod_c.m
+%
+% Plots Octave dump file information from C FDMDV demodulator program,
+% to give a similar set of plots to fdmdv_demod.m. Useful for off
+% line analysis of demod performance.
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+
+function fdmdv_demod_c(dumpfilename, bits)
+
+ fdmdv; % include modem code
+ f = fdmdv_init;
+ Nc = f.Nc; Nb = f.Nb; Rs = f.Rs; M = f.M; Fs = f.Fs;
+ test_bits = f.test_bits;
+
+ frames = bits/(Nc*Nb);
+
+ load(dumpfilename);
+
+ % BER stats
+
+ total_bit_errors = 0;
+ total_bits = 0;
+ bit_errors_log = [];
+ sync_log = [];
+ test_frame_sync_log = [];
+ test_frame_sync_state = 0;
+
+ % Run thru received bits to look for test pattern
+
+ bits_per_frame = Nc*Nb;
+
+ for fr=1:frames
+
+ rx_bits = rx_bits_log_c((fr-1)*bits_per_frame+1:fr*bits_per_frame);
+
+ % count bit errors if we find a test frame
+
+ [test_frame_sync bit_errors error_pattern f] = put_test_bits(f, test_bits, rx_bits);
+ if (test_frame_sync == 1)
+ total_bit_errors = total_bit_errors + bit_errors;
+ total_bits = total_bits + f.Ntest_bits;
+ bit_errors_log = [bit_errors_log bit_errors/f.Ntest_bits];
+ else
+ bit_errors_log = [bit_errors_log 0];
+ end
+
+ % test frame sync state machine, just for more informative plots
+
+ next_test_frame_sync_state = test_frame_sync_state;
+ if (test_frame_sync_state == 0)
+ if (test_frame_sync == 1)
+ next_test_frame_sync_state = 1;
+ test_frame_count = 0;
+ end
+ end
+
+ if (test_frame_sync_state == 1)
+ % we only expect another test_frame_sync pulse every 4 symbols
+ test_frame_count++;
+ if (test_frame_count == 4)
+ test_frame_count = 0;
+ if ((test_frame_sync == 0))
+ next_test_frame_sync_state = 0;
+ end
+ end
+ end
+ test_frame_sync_state = next_test_frame_sync_state;
+ test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
+ end
+
+ ber = total_bit_errors / total_bits;
+ printf("%d bits %d errors BER: %1.4f\n",total_bits, total_bit_errors, ber);
+
+ % ---------------------------------------------------------------------
+ % Plots
+ % ---------------------------------------------------------------------
+
+ xt = (1:frames)/Rs;
+ secs = frames/Rs;
+
+ figure(1)
+ clf;
+ plot(real(rx_symbols_log_c(1:Nc+1,15:frames)),imag(rx_symbols_log_c(1:Nc+1,15:frames)),'+')
+ %plot(real(rx_symbols_log_c(Nc+1,15:frames)),imag(rx_symbols_log_c(Nc+1,15:frames)),'+')
+ axis([-2 2 -2 2]);
+ title('Scatter Diagram');
+
+ figure(2)
+ clf;
+ subplot(211)
+ plot(xt, rx_timing_log_c(1:frames))
+ title('timing offset (samples)');
+ subplot(212)
+ plot(xt, foff_log_c(1:frames), '-;freq offset;')
+ hold on;
+ plot(xt, sync_log_c(1:frames)*75, 'r;course-fine;');
+ hold off;
+ title('Freq offset (Hz)');
+ grid
+
+ figure(3)
+ clf;
+ subplot(211)
+ b = M*frames;
+ xt1 = (1:b)/Fs;
+ plot(xt1, rx_fdm_log_c(1:b));
+ title('Rx FDM Signal');
+ subplot(212);
+ plot_specgram(rx_fdm_log_c(1:b), 8000);
+ title('FDM Rx Spectrogram');
+
+ figure(4)
+ clf;
+ subplot(311)
+ stem(xt, sync_bit_log_c(1:frames))
+ axis([0 secs 0 1.5]);
+ title('BPSK Sync')
+ subplot(312)
+ stem(xt, bit_errors_log);
+ title('Bit Errors for test frames')
+ subplot(313)
+ plot(xt, test_frame_sync_log);
+ axis([0 secs 0 1.5]);
+ title('Test Frame Sync')
+
+ figure(5)
+ clf;
+ plot(xt, snr_est_log_c(1:frames));
+ title('SNR Estimates')
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/fdmdv_demod_coh.m b/libcodec2-android/src/codec2/octave/fdmdv_demod_coh.m
new file mode 100644
index 0000000..94b0880
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fdmdv_demod_coh.m
@@ -0,0 +1,253 @@
+% fdmdv_demod_coh.m
+%
+% Demodulator function for FDMDV modem (Octave version). Requires
+% 8kHz sample rate raw files as input. This version uses experimental
+% psuedo coherent demodulation.
+%
+% Copyright David Rowe 2013
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+
+function fdmdv_demod_coh(rawfilename, nbits, pngname)
+
+ fdmdv; % include modem code
+
+ modulation = 'dqpsk';
+
+ fin = fopen(rawfilename, "rb");
+ gain = 1000;
+ frames = nbits/(Nc*Nb);
+
+ prev_rx_symbols = ones(Nc+1,1);
+ foff_phase = 1;
+
+ % BER stats
+
+ total_bit_errors = 0;
+ total_bits = 0;
+ bit_errors_log = [];
+ sync_log = [];
+ test_frame_sync_log = [];
+ test_frame_sync_state = 0;
+
+ % SNR states
+
+ sig_est = zeros(Nc+1,1);
+ noise_est = zeros(Nc+1,1);
+
+ % logs of various states for plotting
+
+ rx_symbols_log = [];
+ rx_timing_log = [];
+ foff_log = [];
+ rx_fdm_log = [];
+ snr_est_log = [];
+
+ % misc states
+
+ nin = M; % timing correction for sample rate differences
+ foff = 0;
+ track_log = [];
+ track = 0;
+ fest_state = 0;
+
+ % psuedo coherent demod states
+
+ rx_symbols_ph_log = [];
+ prev_rx_symbols_ph = ones(Nc+1,1);
+ rx_phase_offsets_log = [];
+ phase_amb_log = [];
+
+ % Main loop ----------------------------------------------------
+
+ for f=1:frames
+
+ % obtain nin samples of the test input signal
+
+ for i=1:nin
+ rx_fdm(i) = fread(fin, 1, "short")/gain;
+ end
+
+ rx_fdm_log = [rx_fdm_log rx_fdm(1:nin)];
+
+ % frequency offset estimation and correction
+
+ [pilot prev_pilot pilot_lut_index prev_pilot_lut_index] = get_pilot(pilot_lut_index, prev_pilot_lut_index, nin);
+ [foff_coarse S1 S2] = rx_est_freq_offset(rx_fdm, pilot, prev_pilot, nin);
+
+ if track == 0
+ foff = foff_coarse;
+ end
+ foff_log = [ foff_log foff ];
+ foff_rect = exp(j*2*pi*foff/Fs);
+
+ for i=1:nin
+ foff_phase *= foff_rect';
+ rx_fdm(i) = rx_fdm(i)*foff_phase;
+ end
+
+ % baseband processing
+
+ rx_baseband = fdm_downconvert(rx_fdm, nin);
+ rx_filt = rx_filter(rx_baseband, nin);
+
+ [rx_symbols rx_timing] = rx_est_timing(rx_filt, rx_baseband, nin);
+ rx_timing_log = [rx_timing_log rx_timing];
+
+ nin = M;
+ if rx_timing > 2*M/P
+ nin += M/P;
+ end
+ if rx_timing < 0;
+ nin -= M/P;
+ end
+
+ rx_symbols_log = [rx_symbols_log rx_symbols.*(conj(prev_rx_symbols)./abs(prev_rx_symbols))*exp(j*pi/4)];
+
+ % coherent phase offset estimation ------------------------------------
+
+ [rx_phase_offsets ferr] = rx_est_phase(rx_symbols);
+ rx_phase_offsets_log = [rx_phase_offsets_log rx_phase_offsets];
+ phase_amb_log = [phase_amb_log phase_amb];
+ rx_symbols_ph = rx_symbols_mem(:,floor(Nph/2)+1) .* exp(-j*(rx_phase_offsets + phase_amb));
+ rx_symbols_ph_log = [rx_symbols_ph_log rx_symbols_ph .* exp(j*pi/4)];
+ rx_symbols_ph = -1 + 2*(real(rx_symbols_ph .* exp(j*pi/4)) > 0) + j*(-1 + 2*(imag(rx_symbols_ph .* exp(j*pi/4)) > 0));
+
+ % Std differential (used for freq offset est and BPSK sync) and psuedo coherent detection -----------------------
+
+ [rx_bits_unused sync f_err pd ] = qpsk_to_bits(prev_rx_symbols, rx_symbols, modulation);
+ [rx_bits sync_unused ferr_unused pd_unused] = qpsk_to_bits(prev_rx_symbols_ph, rx_symbols_ph, 'dqpsk');
+
+ foff -= 0.5*f_err;
+ prev_rx_symbols = rx_symbols;
+ prev_rx_symbols_ph = rx_symbols_ph;
+ sync_log = [sync_log sync];
+
+ [sig_est noise_est] = snr_update(sig_est, noise_est, pd);
+ snr_est = calc_snr(sig_est, noise_est);
+ snr_est_log = [snr_est_log snr_est];
+
+ % freq est state machine
+
+ [track fest_state] = freq_state(sync, fest_state);
+ track_log = [track_log track];
+
+ % count bit errors if we find a test frame
+
+ [test_frame_sync bit_errors] = put_test_bits(test_bits, rx_bits);
+ if (test_frame_sync == 1)
+ total_bit_errors = total_bit_errors + bit_errors;
+ total_bits = total_bits + Ntest_bits;
+ bit_errors_log = [bit_errors_log bit_errors/Ntest_bits];
+ else
+ bit_errors_log = [bit_errors_log 0];
+ end
+
+ % test frame sync state machine, just for more informative plots
+
+ next_test_frame_sync_state = test_frame_sync_state;
+ if (test_frame_sync_state == 0)
+ if (test_frame_sync == 1)
+ next_test_frame_sync_state = 1;
+ test_frame_count = 0;
+ end
+ end
+
+ if (test_frame_sync_state == 1)
+ % we only expect another test_frame_sync pulse every 4 symbols
+ test_frame_count++;
+ if (test_frame_count == 4)
+ test_frame_count = 0;
+ if ((test_frame_sync == 0))
+ next_test_frame_sync_state = 0;
+ end
+ end
+ end
+ test_frame_sync_state = next_test_frame_sync_state;
+ test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
+
+ end
+
+ % ---------------------------------------------------------------------
+ % Print Stats
+ % ---------------------------------------------------------------------
+
+ ber = total_bit_errors / total_bits;
+
+ printf("%d bits %d errors BER: %1.4f\n",total_bits, total_bit_errors, ber);
+
+ % ---------------------------------------------------------------------
+ % Plots
+ % ---------------------------------------------------------------------
+
+ xt = (1:frames)/Rs;
+ secs = frames/Rs;
+
+ figure(1)
+ clf;
+ [n m] = size(rx_symbols_log);
+ plot(real(rx_symbols_log(1:Nc+1,15:m)),imag(rx_symbols_log(1:Nc+1,15:m)),'+')
+ axis([-2 2 -2 2]);
+ title('Scatter Diagram');
+
+ figure(2)
+ clf;
+ subplot(211)
+ plot(xt, rx_timing_log)
+ title('timing offset (samples)');
+ subplot(212)
+ plot(xt, foff_log, '-;freq offset;')
+ hold on;
+ plot(xt, track_log*75, 'r;course-fine;');
+ hold off;
+ title('Freq offset (Hz)');
+ grid
+
+ figure(3)
+ clf;
+ subplot(211)
+ [a b] = size(rx_fdm_log);
+ xt1 = (1:b)/Fs;
+ plot(xt1, rx_fdm_log);
+ title('Rx FDM Signal');
+ subplot(212)
+ spec(rx_fdm_log,8000);
+ title('FDM Rx Spectrogram');
+
+ figure(4)
+ clf;
+ subplot(311)
+ stem(xt, sync_log)
+ axis([0 secs 0 1.5]);
+ title('BPSK Sync')
+ subplot(312)
+ stem(xt, bit_errors_log);
+ title('Bit Errors for test frames')
+ subplot(313)
+ plot(xt, test_frame_sync_log);
+ axis([0 secs 0 1.5]);
+ title('Test Frame Sync')
+
+ figure(5)
+ clf;
+ plot(xt, snr_est_log);
+ title('SNR Estimates')
+
+ figure(6)
+ clf;
+ [n m] = size(rx_symbols_ph_log);
+ plot(real(rx_symbols_ph_log(1:Nc+1,15:m)),imag(rx_symbols_ph_log(1:Nc+1,15:m)),'+')
+ %plot(real(rx_symbols_ph_log(2,15:m)),imag(rx_symbols_ph_log(2,15:m)),'+')
+ axis([-2 2 -2 2]);
+ title('Scatter Diagram - after phase correction');
+
+ figure(7)
+ clf;
+ subplot(211)
+ plot(rx_phase_offsets_log(1,:))
+ subplot(212)
+ plot(phase_amb_log(1,:))
+ title('Rx Phase Offset Est')
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/fdmdv_mod.m b/libcodec2-android/src/codec2/octave/fdmdv_mod.m
new file mode 100644
index 0000000..8d13226
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fdmdv_mod.m
@@ -0,0 +1,32 @@
+% fdmdv_mod.m
+%
+% Modulator function for FDMDV modem, uses test frames as input and
+% outputs a raw file of 16 bit shorts at a sample rate of 8 kHz.
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+
+function tx_fdm = fdmdv_mod(rawfilename, nbits)
+
+ fdmdv; % include modem code
+
+ frames = floor(nbits/(Nc*Nb))
+ tx_fdm = [];
+ gain = 1000; % Scale up to 16 bit shorts
+ prev_tx_symbols = ones(Nc+1,1); prev_tx_symbols(Nc+1) = 2;
+
+ for i=1:frames
+ tx_bits = get_test_bits(Nc*Nb);
+ tx_symbols = bits_to_qpsk(prev_tx_symbols, tx_bits,'dqpsk');
+ prev_tx_symbols = tx_symbols;
+ tx_baseband = tx_filter(tx_symbols);
+ tx_fdm = [tx_fdm real(fdm_upconvert(tx_baseband))];
+ end
+
+ tx_fdm *= gain;
+ fout = fopen(rawfilename,"wb");
+ fwrite(fout, tx_fdm, "short");
+ fclose(fout);
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/fdmdv_ut.m b/libcodec2-android/src/codec2/octave/fdmdv_ut.m
new file mode 100644
index 0000000..3ee5b4d
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fdmdv_ut.m
@@ -0,0 +1,352 @@
+% fdmdv_ut.m
+%
+% Unit Test program for FDMDV modem. Useful for general development as it has
+% both tx and rx sides, and basic AWGN channel simulation.
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+
+fdmdv; % load modem code
+
+% Simulation Parameters --------------------------------------
+
+frames = 100;
+EbNo_dB = 6.3;
+Foff_hz = -100;
+modulation = 'dqpsk';
+hpa_clip = 150;
+
+% ------------------------------------------------------------
+
+more off;
+tx_filt = zeros(Nc,M);
+rx_symbols_log = [];
+rx_phase_log = 0;
+rx_timing_log = 0;
+tx_pwr = 0;
+noise_pwr = 0;
+rx_fdm_log = [];
+rx_baseband_log = [];
+rx_bits_offset = zeros(Nc*Nb*2);
+prev_tx_symbols = ones(Nc+1,1); prev_tx_symbols(Nc+1) = 2;
+prev_rx_symbols = ones(Nc+1,1);
+ferr = 0;
+foff = 0;
+foff_log = [];
+tx_baseband_log = [];
+tx_fdm_log = [];
+
+% BER stats
+
+total_bit_errors = 0;
+total_bits = 0;
+bit_errors_log = [];
+sync_bit_log = [];
+test_frame_sync_log = [];
+test_frame_sync_state = 0;
+
+% SNR estimation states
+
+sig_est = zeros(Nc+1,1);
+noise_est = zeros(Nc+1,1);
+
+% fixed delay simuation
+
+Ndelay = M+20;
+rx_fdm_delay = zeros(Ndelay,1);
+
+% ---------------------------------------------------------------------
+% Eb/No calculations. We need to work out Eb/No for each FDM carrier.
+% Total power is sum of power in all FDM carriers
+% ---------------------------------------------------------------------
+
+C = 1; % power of each FDM carrier (energy/sample). Total Carrier power should = Nc*C = Nc
+N = 1; % total noise power (energy/sample) of noise source across entire bandwidth
+
+% Eb = Carrier power * symbol time / (bits/symbol)
+% = C *(1/Rs) / Nb
+Eb_dB = 10*log10(C) - 10*log10(Rs) - 10*log10(Nb);
+
+No_dBHz = Eb_dB - EbNo_dB;
+
+% Noise power = Noise spectral density * bandwidth
+% Noise power = Noise spectral density * Fs/2 for real signals
+N_dB = No_dBHz + 10*log10(Fs/2);
+Ngain_dB = N_dB - 10*log10(N);
+Ngain = 10^(Ngain_dB/20);
+
+% C/No = Carrier Power/noise spectral density
+% = power per carrier*number of carriers / noise spectral density
+CNo_dB = 10*log10(C) + 10*log10(Nc) - No_dBHz;
+
+% SNR in equivalent 3000 Hz SSB channel
+
+B = 3000;
+SNR = CNo_dB - 10*log10(B);
+
+% freq offset simulation states
+
+phase_offset = 1;
+freq_offset = exp(j*2*pi*Foff_hz/Fs);
+foff_phase = 1;
+t = 0;
+foff = 0;
+fest_state = 0;
+fest_timer = 0;
+sync_mem = zeros(1,Nsync_mem);
+sync = 0;
+sync_log = [];
+
+snr_log = [];
+
+Nspec=1024;
+spec_mem=zeros(1,Nspec);
+SdB = zeros(1,Nspec);
+
+% ---------------------------------------------------------------------
+% Main loop
+% ---------------------------------------------------------------------
+
+for f=1:frames
+
+ % -------------------
+ % Modulator
+ % -------------------
+
+ tx_bits = get_test_bits(Nc*Nb);
+ tx_symbols = bits_to_psk(prev_tx_symbols, tx_bits, modulation);
+ prev_tx_symbols = tx_symbols;
+ tx_baseband = tx_filter(tx_symbols);
+ tx_baseband_log = [tx_baseband_log tx_baseband];
+ tx_fdm = fdm_upconvert(tx_baseband);
+ tx_pwr = 0.9*tx_pwr + 0.1*real(tx_fdm)*real(tx_fdm)'/(M);
+
+ % -------------------
+ % Channel simulation
+ % -------------------
+
+ % frequency offset
+
+ %Foff_hz += 1/Rs;
+ Foff = Foff_hz;
+ for i=1:M
+ % Time varying freq offset
+ %Foff = Foff_hz + 100*sin(t*2*pi/(300*Fs));
+ %t++;
+ freq_offset = exp(j*2*pi*Foff/Fs);
+ phase_offset *= freq_offset;
+ tx_fdm(i) = phase_offset*tx_fdm(i);
+ end
+
+ tx_fdm = real(tx_fdm);
+
+ % HPA non-linearity
+
+ tx_fdm(find(abs(tx_fdm) > hpa_clip)) = hpa_clip;
+ tx_fdm_log = [tx_fdm_log tx_fdm];
+
+ rx_fdm = tx_fdm;
+
+ % AWGN noise
+
+ noise = Ngain*randn(1,M);
+ noise_pwr = 0.9*noise_pwr + 0.1*noise*noise'/M;
+ rx_fdm += noise;
+ rx_fdm_log = [rx_fdm_log rx_fdm];
+
+ % update spectrum
+
+ l=length(rx_fdm);
+ spec_mem(1:Nspec-l) = spec_mem(l+1:Nspec);
+ spec_mem(Nspec-l+1:Nspec) = rx_fdm;
+ S=fft(spec_mem.*hanning(Nspec)',Nspec);
+ SdB = 0.9*SdB + 0.1*20*log10(abs(S));
+
+
+ % -------------------
+ % Demodulator
+ % -------------------
+
+ % shift down to complex baseband
+
+ for i=1:M
+ fbb_phase_rx = fbb_phase_rx*fbb_rect';
+ rx_fdm(i) = rx_fdm(i)*fbb_phase_rx;
+ end
+ mag = abs(fbb_phase_rx);
+ fbb_phase_rx /= mag;
+
+ % frequency offset estimation and correction, need to call rx_est_freq_offset even in sync
+ % mode to keep states updated
+
+ [pilot prev_pilot pilot_lut_index prev_pilot_lut_index] = get_pilot(pilot_lut_index, prev_pilot_lut_index, M);
+ [foff_coarse S1 S2] = rx_est_freq_offset(rx_fdm, pilot, prev_pilot, M, !sync);
+
+ if sync == 0
+ foff = foff_coarse;
+ end
+
+ foff_log = [ foff_log foff ];
+ foff_rect = exp(j*2*pi*foff/Fs);
+
+ for i=1:M
+ foff_phase *= foff_rect';
+ rx_fdm(i) = rx_fdm(i)*foff_phase;
+ end
+
+ rx_fdm_filter = rxdec_filter(rx_fdm, M);
+ rx_filt = down_convert_and_rx_filter(rx_fdm_filter, M, M/Q);
+
+ [rx_symbols rx_timing] = rx_est_timing(rx_filt, M);
+ rx_timing_log = [rx_timing_log rx_timing];
+
+ %rx_phase = rx_est_phase(rx_symbols);
+ %rx_phase_log = [rx_phase_log rx_phase];
+ %rx_symbols = rx_symbols*exp(j*rx_phase);
+
+ [rx_bits sync_bit foff_fine pd] = psk_to_bits(prev_rx_symbols, rx_symbols, modulation);
+ if strcmp(modulation,'dqpsk')
+ rx_symbols_log = [rx_symbols_log pd];
+ else
+ rx_symbols_log = [rx_symbols_log rx_symbols];
+ endif
+ foff -= 0.5*foff_fine;
+
+ prev_rx_symbols = rx_symbols;
+ sync_bit_log = [sync_bit_log sync_bit];
+
+ % freq est state machine
+
+ [sync reliable_sync_bit fest_state fest_timer sync_mem] = freq_state(sync_bit, fest_state, fest_timer, sync_mem);
+ sync_log = [sync_log sync];
+
+ % Update SNR est
+
+ [sig_est noise_est] = snr_update(sig_est, noise_est, pd);
+ snr_log = [snr_log calc_snr(sig_est, noise_est)];
+
+ % count bit errors if we find a test frame
+ % Allow 15 frames for filter memories to fill and time est to settle
+
+ [test_frame_sync bit_errors] = put_test_bits(test_bits, rx_bits);
+
+ if test_frame_sync == 1
+ total_bit_errors = total_bit_errors + bit_errors;
+ total_bits = total_bits + Ntest_bits;
+ bit_errors_log = [bit_errors_log bit_errors];
+ else
+ bit_errors_log = [bit_errors_log 0];
+ end
+
+ % test frame sync state machine, just for more informative plots
+
+ next_test_frame_sync_state = test_frame_sync_state;
+ if (test_frame_sync_state == 0)
+ if (test_frame_sync == 1)
+ next_test_frame_sync_state = 1;
+ test_frame_count = 0;
+ end
+ end
+
+ if (test_frame_sync_state == 1)
+ % we only expect another test_frame_sync pulse every 4 symbols
+ test_frame_count++;
+ if (test_frame_count == 4)
+ test_frame_count = 0;
+ if ((test_frame_sync == 0))
+ next_test_frame_sync_state = 0;
+ end
+ end
+ end
+ test_frame_sync_state = next_test_frame_sync_state;
+ test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
+end
+
+% ---------------------------------------------------------------------
+% Print Stats
+% ---------------------------------------------------------------------
+
+ber = total_bit_errors / total_bits;
+
+% Peak to Average Power Ratio calcs from http://www.dsplog.com
+
+papr = max(tx_fdm_log.*conj(tx_fdm_log)) / mean(tx_fdm_log.*conj(tx_fdm_log));
+papr_dB = 10*log10(papr);
+
+% Note Eb/No set point is for Nc data carriers only, excluding pilot.
+% This is convenient for testing BER versus Eb/No. Measured SNR &
+% Eb/No includes power of pilot. Similar for SNR, first number is SNR
+% excluding pilot pwr for Eb/No set point, 2nd value is measured SNR
+% which will be a little higher as pilot power is included. Note current SNR
+% est algorithm only works for QPSK, gives silly values for 8PSK.
+
+printf("Bits/symbol.: %d\n", Nb);
+printf("Num carriers: %d\n", Nc);
+printf("Bit Rate....: %d bits/s\n", Rb);
+printf("Eb/No (meas): %2.2f (%2.2f) dB\n", EbNo_dB, 10*log10(0.25*tx_pwr*Fs/(Rs*Nc*noise_pwr)));
+printf("bits........: %d\n", total_bits);
+printf("errors......: %d\n", total_bit_errors);
+printf("BER.........: %1.4f\n", ber);
+printf("PAPR........: %1.2f dB\n", papr_dB);
+printf("SNR...(meas): %2.2f (%2.2f) dB\n", SNR, calc_snr(sig_est, noise_est));
+
+% ---------------------------------------------------------------------
+% Plots
+% ---------------------------------------------------------------------
+
+figure(1)
+clf;
+[n m] = size(rx_symbols_log);
+plot(real(rx_symbols_log(1:Nc+1,15:m)),imag(rx_symbols_log(1:Nc+1,15:m)),'+')
+axis([-3 3 -3 3]);
+title('Scatter Diagram');
+
+figure(2)
+clf;
+subplot(211)
+plot(rx_timing_log)
+title('timing offset');
+subplot(212)
+plot(foff_log, '-;freq offset;')
+hold on;
+plot(sync_log*75, 'r;Sync State & course(0) fine(1) freq tracking;');
+hold off;
+title('Freq offset (Hz)');
+
+figure(3)
+clf;
+subplot(211)
+plot(real(tx_fdm_log));
+title('FDM Tx Signal');
+subplot(212)
+plot((0:Nspec/2-1)*Fs/Nspec, SdB(1:Nspec/2) - 20*log10(Nspec/2))
+axis([0 Fs/2 -40 0])
+grid
+title('FDM Rx Spectrum');
+
+figure(4)
+clf;
+subplot(311)
+stem(sync_bit_log)
+axis([0 frames 0 1.5]);
+title('BPSK Sync')
+subplot(312)
+stem(bit_errors_log);
+title('Bit Errors for test frames')
+subplot(313)
+plot(test_frame_sync_log);
+axis([0 frames 0 1.5]);
+title('Test Frame Sync')
+
+figure(5)
+clf
+subplot(211)
+plot(snr_log)
+subplot(212)
+%plot(20*log10(sig_est(1:Nc))-20*log10(sig_est(Nc+1))+6)
+%axis([1 Nc -6 6]);
+sdB_pc = 20*log10(sig_est(1:Nc+1));
+bar(sdB_pc(1:Nc) - mean(sdB_pc(1:Nc)))
+axis([0 Nc+1 -3 3]);
diff --git a/libcodec2-android/src/codec2/octave/fdmdv_ut_freq_off.m b/libcodec2-android/src/codec2/octave/fdmdv_ut_freq_off.m
new file mode 100644
index 0000000..395bcc5
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fdmdv_ut_freq_off.m
@@ -0,0 +1,489 @@
+% fdmdv_ut_freq_off.m
+% David Rowe 17 June 2014
+%
+% Unit Test program for freq offset estimation in FDMDV modem.
+%
+% Copyright David Rowe 2012 This program is
+% distributed under the terms of the GNU General Public License
+% Version 2
+
+% [ ] sweep of different delays
+% [ ] sweep of Eb/No
+% [ ] sweep of freq offsets
+% [ ] step change in foff
+% + time to respond
+% [ ] plot/print pass fail/relevant stats
+% + variance
+% + histogram of freq ests?
+
+fdmdv; % load modem code
+hf_sim; % load hf sim code
+
+% ---------------------------------------------------------------------
+% Eb/No calculations. We need to work out Eb/No for each FDM carrier.
+% Total power is sum of power in all FDM carriers. These calcs set the
+% Eb/No of the data carriers, Eb/No of pilot will be higher.
+% ---------------------------------------------------------------------
+
+function [Nsd SNR] = calc_Nsd_from_EbNo(EbNo_dB)
+ global Rs;
+ global Nb;
+ global Nc;
+ global Fs;
+
+ C = 1; % power of each FDM carrier (energy/sample). Total Carrier power should = Nc*C = Nc
+ N = 1; % total noise power (energy/sample) of noise source across entire bandwidth
+
+ % Eb = Carrier power * symbol time / (bits/symbol)
+ % = C *(1/Rs) / Nb
+ Eb_dB = 10*log10(C) - 10*log10(Rs) - 10*log10(Nb);
+
+ No_dBHz = Eb_dB - EbNo_dB;
+
+ % Noise power = Noise spectral density * bandwidth
+ % Noise power = Noise spectral density * Fs/2 for real signals
+ N_dB = No_dBHz + 10*log10(Fs/2);
+ Ngain_dB = N_dB - 10*log10(N);
+ Nsd = 10^(Ngain_dB/20);
+
+ % C/No = Carrier Power/noise spectral density
+ % = power per carrier*number of carriers / noise spectral density
+ CNo_dB = 10*log10(C) + 10*log10(Nc) - No_dBHz;
+
+ % SNR in equivalent 3000 Hz SSB channel, adding extra power for pilot to get
+ % true SNR.
+
+ B = 3000;
+ SNR = CNo_dB - 10*log10(B) + 10*log10((Nc+4)/Nc);
+end
+
+% we keep a m sample buffer in sample_memory
+% update sample_memory with n samples each time this function is called
+% outputs one nfft2 slice of spectrogram in dB. Good idea to make nfft2 a power of 2
+
+function [S, states_out] = spectrogram_update(samples, n, states_in)
+ sample_memory = states_in.sample_memory;
+ m = states_in.m;
+ nfft2 = states_in.nfft2;
+ lower_clip_dB = states_in.lower_clip_dB;
+ dec = states_in.dec;
+
+ sample_memory(1:m-n) = sample_memory(n+1:m);
+ sample_memory(m-n+1:m) = samples;
+
+ F = fft(sample_memory .* hanning(m)', 2*nfft2);
+ S = 20*log10(abs(F(1:dec:nfft2))/(nfft2));
+ S(find(S < lower_clip_dB)) = lower_clip_dB; % clip lower limit
+
+ states_out = states_in;
+ states_out.sample_memory = sample_memory;
+end
+
+% ------------------------------------------------------------
+
+function sim_out = freq_off_est_test(sim_in)
+ global Nc;
+ global Nb;
+ global M;
+ global Fs;
+ global pilot_lut_index;
+ global prev_pilot_lut_index;
+ global pilot_lpf1;
+ global Npilotlpf;
+ global spread;
+ global spread_2ms;
+ global hf_gain;
+
+ EbNovec = sim_in.EbNovec;
+ Ndelay = sim_in.delay;
+ frames = sim_in.frames;
+ startup_delay = sim_in.startup_delay;
+ allowable_error = sim_in.allowable_error;
+ foff_hz = sim_in.foff_hz;
+ hf_sim = sim_in.hf_sim;
+ hf_delay = floor(sim_in.hf_delay_ms*Fs/1000);
+ plot_type = sim_in.plot_type;
+
+ % work out gain for HF model
+ % e = sum((g*s)^2) = g*g*sum(s^2) = N, g = sqrt(N/sum(s^2))
+ % compute so e=N
+
+ s1 = spread(1:frames*M);
+ s2 = [zeros(hf_delay,1); spread_2ms(1:frames*M)];
+ s2 = s2(1:frames*M);
+
+ p = (s1+s2)'*(s1+s2);
+ hf_gain = sqrt(frames*M/p);
+ p2 = (hf_gain*(s1+s2))'*(hf_gain*(s1+s2));
+
+ if hf_sim
+ channel_model = "HF";
+ else
+ channel_model = "AWGN";
+ end
+
+ % spectrogram states
+
+ spec_states.m = 8*M;
+ spec_states.nfft2 = 2 ^ ceil(log2(spec_states.m/2));
+ spec_states.dec = 4;
+ spec_states.sample_memory = zeros(1, spec_states.m);
+ spec_states.lower_clip_dB = -30;
+
+ printf("\n%s\n", sim_in.test_name);
+ printf(" Channel EbNo SNR(calc) SNR(meas) SD(Hz) Hits Hits(%%) Result\n");
+
+ % ---------------------------------------------------------------------
+ % Main loop
+ % ---------------------------------------------------------------------
+
+ for ne = 1:length(EbNovec)
+ EbNo_dB = EbNovec(ne);
+ [Nsd SNR] = calc_Nsd_from_EbNo(EbNo_dB);
+ hits = 0;
+
+ tx_filt = zeros(Nc,M);
+ prev_tx_symbols = ones(Nc+1,1);
+
+ tx_fdm_log = [];
+ rx_fdm_log = [];
+ pilot_lpf1_log = [];
+ S1_log = [];
+ rx_fdm_delay = zeros(M+Ndelay,1);
+
+ % freq offset simulation states
+
+ phase_offset = 1;
+ Nmedian = 20;
+ foff_median=zeros(1,Nmedian);
+
+ % hf sim states
+
+ path2 = zeros(1,hf_delay+M);
+ sum_sig = 0;
+ sum_noise = 0;
+
+ % state machine
+ state = 0;
+ fest_current = 0;
+ fdelta = 5;
+ candidate_thresh = 10;
+ foff_est_thresh_prev = 0;
+
+ for f=1:frames
+
+ % ------------------- Modulator -------------------
+
+ tx_bits = get_test_bits(Nc*Nb);
+ tx_symbols = bits_to_psk(prev_tx_symbols, tx_bits, 'dqpsk');
+
+ % simulate BPF filtering of +/- 200 Hz
+ % tx_symbols(1:6) = 0; tx_symbols(9:Nc) = 0;
+
+ prev_tx_symbols = tx_symbols;
+ tx_baseband = tx_filter(tx_symbols);
+ tx_fdm = fdm_upconvert(tx_baseband);
+ tx_fdm_log = [tx_fdm_log real(tx_fdm)];
+
+ % ------------------- Channel simulation -------------------
+
+ % frequency offset
+
+ for i=1:M
+ freq_offset = exp(j*2*pi*foff_hz(f)/Fs);
+ phase_offset *= freq_offset;
+ tx_fdm(i) = phase_offset*tx_fdm(i);
+ end
+
+ % optional HF channel sim
+
+ if hf_sim
+ path1 = tx_fdm .* conj(spread(f*M+1:f*M+M)');
+
+ path2(1:hf_delay) = path2(M+1:hf_delay+M);
+ path2(hf_delay+1:hf_delay+M) = tx_fdm .* conj(spread_2ms(f*M+1:f*M+M)');
+
+ tx_fdm = hf_gain*(path1 + path2(1:M));
+ end
+ sum_sig += tx_fdm * tx_fdm';
+
+ rx_fdm = real(tx_fdm);
+
+ % AWGN noise
+
+ noise = Nsd*randn(1,M);
+ sum_noise += noise * noise';
+ rx_fdm += noise;
+ rx_fdm_log = [rx_fdm_log rx_fdm];
+
+ % Fixed Delay
+
+ rx_fdm_delay(1:Ndelay) = rx_fdm_delay(M+1:M+Ndelay);
+ rx_fdm_delay(Ndelay+1:M+Ndelay) = rx_fdm;
+
+ % ------------------- Freq Offset Est -------------------
+
+ % frequency offset estimation and correction, need to call
+ % rx_est_freq_offset even in track mode to keep states updated
+
+ [pilot prev_pilot pilot_lut_index prev_pilot_lut_index] = ...
+ get_pilot(pilot_lut_index, prev_pilot_lut_index, M);
+ [foff_est S1 S2] = rx_est_freq_offset(rx_fdm_delay, pilot, prev_pilot, M);
+ pilot_lpf1_log = [pilot_lpf1_log pilot_lpf1(Npilotlpf-M+1:Npilotlpf)];
+ S1_log(f,:) = fftshift(S1);
+ S2_log(f,:) = fftshift(S2);
+
+ % raw estimate
+
+ foff_log(ne,f) = foff_est;
+ maxS1_log(ne,f) = max(S1.*conj(S1)/(S1*S1'));
+ maxS2_log(ne,f) = max(S2.*conj(S2)/(S2*S2'));
+
+ % median filter post-processed
+
+ foff_median(1:Nmedian-1) = foff_median(2:Nmedian);
+ foff_median(Nmedian) = foff_est;
+ foff_median_log(ne,f) = foff_coarse = median(foff_median);
+
+ % state machine post-processed
+
+ next_state = state;
+ if state == 0
+ if abs(foff_est - fest_current) > fdelta
+ fest_candidate = foff_est;
+ candidate_count = 0;
+ next_state = 1;
+ end
+ end
+ if state == 1
+ if abs(foff_est - fest_candidate) > fdelta
+ next_state = 0;
+ end
+ candidate_count++;
+ if candidate_count > candidate_thresh
+ fest_current = fest_candidate;
+ next_state = 0;
+ end
+ end
+ state = next_state;
+ foff_statemach_log(ne,f) = fest_current;
+
+ % threshold post processed
+
+ if (maxS1_log(ne,f) > 0.06) || (maxS2_log(ne,f) > 0.06)
+ %if (maxS1_log(ne,f) > 0.08)
+ foff_thresh_log(ne,f) = foff_est;
+ else
+ foff_thresh_log(ne,f) = foff_est_thresh_prev;
+ end
+ foff_est_thresh_prev = foff_thresh_log(ne,f);
+
+ % hit/miss stats
+ fest_current = foff_statemach_log(ne,f);
+ if (f > startup_delay) && (abs(fest_current - foff_hz(f)) < allowable_error)
+ hits++;
+ end
+
+ if length(EbNovec) == 1
+ [spectrogram(f,:) spec_states] = spectrogram_update(rx_fdm, M, spec_states);
+ end
+ end
+
+ % results for this EbNo value
+
+ sim_out.foff_sd(ne) = std(foff_log(ne,startup_delay:frames));
+ sim_out.hits = hits;
+ sim_out.hits_percent = 100*sim_out.hits/(frames-startup_delay);
+ sim_out.SNRvec(ne) = SNR;
+ sim_out.tx_fdm_log = tx_fdm_log;
+ sim_out.rx_fdm_log = rx_fdm_log;
+
+ % noise we have measures is 4000 Hz wide, we want noise in 3000 Hz BW
+
+ snr_meas = 10*log10(sum_sig/(sum_noise*4000/3000));
+
+ printf(" %6s %5.2f % -5.2f % -5.2f %3.2f %d %3.2f ", ...
+ channel_model, EbNo_dB, SNR, snr_meas, sim_out.foff_sd(ne), sim_out.hits, sim_out.hits_percent);
+
+ if sim_out.hits_percent == 100
+ printf("PASS\n");
+ else
+ printf("FAIL\n");
+ figure(5)
+ clf
+ plot(abs(foff_statemach_log(ne,:) - foff_hz < allowable_error));
+ end
+
+ % plots if single dimension vector
+
+ if length(EbNovec) == 1
+ fmin = -200; fmax = 200;
+ figure(1)
+ clf;
+ subplot(411)
+ plot(foff_log(ne,:))
+ axis([1 frames fmin fmax]);
+ ylabel("Foff raw")
+ subplot(412)
+ plot(foff_median_log(ne,:))
+ axis([1 frames fmin fmax]);
+ ylabel("Foff median")
+ subplot(413)
+ plot(foff_statemach_log(ne,:),'g')
+ ylabel("Foff state")
+ axis([1 frames fmin fmax]);
+ subplot(414)
+ plot(foff_thresh_log(ne,:))
+ ylabel("Foff thresh")
+ axis([1 frames fmin fmax]);
+ xlabel("Frames")
+ grid;
+
+ figure(2)
+ clf;
+ plot(maxS1_log(ne,:));
+ axis([1 frames 0 0.2]);
+ xlabel("Frames")
+ ylabel("max(abs(S1/S2))")
+ grid;
+ hold on;
+ plot(maxS2_log(ne,:),'g');
+ hold off;
+
+ figure(3)
+ [n m] = size(S1_log);
+ if strcmp(plot_type,"mesh")
+ mesh(-200+400*(0:m-1)/256,1:n,abs(S1_log(:,:)));
+ xlabel('Freq (Hz)'); ylabel('Frame num'); zlabel("max(abs(S1))")
+ else
+ imagesc(1:n,-200+400*(0:(m-1))/m,abs(S1_log(:,:))');
+ set(gca,'YDir','normal')
+ ylabel('Freq (Hz)'); xlabel('Frame num');
+ axis([1 n -200 200])
+ end
+
+ figure(4)
+ clf
+ [n m] = size(spectrogram);
+ if strcmp(plot_type,"mesh")
+ mesh((4000/m)*(1:m),1:n,spectrogram);
+ xlabel('Freq (Hz)'); ylabel('Frame num'); zlabel('Amplitude (dB)');
+ else
+ imagesc(1:n,(4000/m)*(1:m),spectrogram')
+ set(gca,'YDir','normal')
+ ylabel('Freq (Hz)'); xlabel('Frame num');
+ axis([1 n 500 2500])
+ end
+
+ sim_out.spec = spectrogram;
+ sim_out.tx_fdm_log = spectrogram;
+ end
+ end
+end
+
+% ---------------------------------------------------------------------
+% Run Automated Tests
+% ---------------------------------------------------------------------
+
+more off;
+
+function test1
+ global M;
+ global Rs;
+
+ sim_in.test_name = "Test 1: range of Eb/No (SNRs) in AWGN channel";
+ sim_in.EbNovec = [3:10 99];
+ sim_in.delay = M/2;
+ sim_in.frames = Rs*3;
+ sim_in.foff_hz(1:sim_in.frames) = 50;
+ sim_in.startup_delay = 0.5*Rs;
+ sim_in.allowable_error = 5;
+ sim_in.hf_sim = 0;
+ sim_in.hf_delay_ms = 2;
+ sim_in.delay = M/2;
+ sim_in.plot_type = "waterfall";
+
+ sim_out = freq_off_est_test(sim_in);
+
+ figure(5)
+ clf
+ subplot(211)
+ plot(sim_in.EbNovec, sim_out.foff_sd)
+ hold on;
+ plot(sim_in.EbNovec, sim_out.foff_sd,'+')
+ hold off;
+ xlabel("Eb/No (dB)")
+ ylabel("Std Dev (Hz)")
+ axis([(min(sim_in.EbNovec)-1) (max(sim_in.EbNovec)+1) -1 10]);
+
+ subplot(212)
+ plot(sim_out.SNRvec,sim_out.foff_sd)
+ hold on;
+ plot(sim_out.SNRvec,sim_out.foff_sd,'+')
+ hold off;
+ xlabel("SNR (dB)")
+ ylabel("Std Dev (Hz)")
+ axis([(min(sim_out.SNRvec)-1) (max(sim_out.SNRvec)+1) -1 10]);
+end
+
+
+function test2
+ sim_in.test_name = "Test 2: range of Eb/No (SNRs) in HF multipath channel"
+ sim_in.EbNovec = 0:10;
+ sim_in.delay = 2;
+ sim_in.hf_sim = 1;
+ sim_in.hf_delay_ms = 2;
+ sim_in.frames = Rs*2;
+ sim_in.foff_hz = 0;
+ sim_in.startup_delay = Rs/2;
+ sim_in.allowable_error = 5;
+
+ sim_out = freq_off_est_test(sim_in);
+
+ figure(5)
+ clf
+ subplot(211)
+ plot(sim_in.EbNovec,sim_out.foff_sd)
+ hold on;
+ plot(sim_in.EbNovec,sim_out.foff_sd,'+')
+ hold off;
+ xlabel("Eb/No (dB)")
+ ylabel("Std Dev")
+ axis([(min(sim_in.EbNovec)-1) (max(sim_in.EbNovec)+1) -1 10]);
+end
+
+function test3
+ global M;
+ global Rs;
+
+ sim_in.test_name = "Test 3: 30 Seconds in HF multipath channel at 0dB-ish SNR";
+ sim_in.EbNovec = 13;
+ sim_in.hf_sim = 0;
+ sim_in.hf_delay_ms = 2;
+ sim_in.delay = M/2;
+ sim_in.frames = Rs;
+ sim_in.foff_hz(1:sim_in.frames) = -50;
+ sim_in.startup_delay = Rs; % allow 1 second in heavily faded channels
+ sim_in.allowable_error = 5;
+ sim_in.plot_type = "mesh";
+ sim_out = freq_off_est_test(sim_in);
+endfunction
+
+function animated_gif
+ figure(4)
+ for i=5:5:360
+ view(i,45)
+ filename=sprintf('fdmdv_fig%05d.png',i);
+ print(filename);
+ end
+ if 0
+ for i=90:-5:-270
+ view(45,i)
+ filename=sprintf('fdmdv_fig%05d.png',i);
+ print(filename);
+ end
+ end
+endfunction
+
+test3;
+
diff --git a/libcodec2-android/src/codec2/octave/fm.m b/libcodec2-android/src/codec2/octave/fm.m
new file mode 100644
index 0000000..92e8113
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fm.m
@@ -0,0 +1,484 @@
+% fm.m
+% David Rowe Dec 2014
+%
+% Analog FM Octave simulation functions.
+
+1;
+
+graphics_toolkit ("gnuplot");
+
+function fm_states = analog_fm_init(fm_states)
+
+ % FM modulator constants
+
+ Fs = fm_states.Fs; FsOn2 = Fs/2;
+ fm_max = fm_states.fm_max; % max modulation freq
+ fd = fm_states.fd; % (max) deviation
+ fm_states.m = fd/fm_max; % modulation index
+ fm_states.Bfm = Bfm = 2*(fd+fm_max); % Carson's rule for FM signal bandwidth
+ fm_states.tc = tc = 50E-6;
+ fm_states.prede = [1 -(1 - 1/(tc*Fs))]; % pre/de emp filter coeffs
+ fm_states.ph_dont_limit = 0; % Limit rx delta-phase
+
+ % Select length of filter to be an integer number of symbols to
+ % assist with "fine" timing offset estimation. Set Ts to 1 for
+ % analog modulation.
+
+ Ts = fm_states.Ts;
+ desired_ncoeffs = 200;
+ ncoeffs = floor(desired_ncoeffs/Ts+1)*Ts;
+
+ % "coarse" timing offset is half filter length, we have two filters.
+ % This is the delay the two filters introduce, so we need to adjust
+ % for this when comparing tx to trx bits for BER calcs.
+
+ fm_states.nsym_delay = ncoeffs/Ts;
+
+ % input filter gets rid of excess noise before demodulator, as too much
+ % noise causes atan2() to jump around, e.g. -pi to pi. However this
+ % filter can cause harmonic distortion at very high SNRs, as it knocks out
+ % some of the FM signal spectra. This filter isn't really required for high
+ % SNRs > 20dB.
+
+ fc = (Bfm/2)/(FsOn2);
+ fm_states.bin = firls(ncoeffs,[0 fc*(1-0.05) fc*(1+0.05) 1],[1 1 0.01 0.01]);
+
+ % demoduator output filter to limit us to fm_max (e.g. 3kHz)
+
+ fc = fm_max/(FsOn2);
+ fm_states.bout = firls(ncoeffs,[0 0.95*fc 1.05*fc 1], [1 1 0.01 0.01]);
+endfunction
+
+
+function fm_fir_coeff_file(fm_states, filename)
+ global gt_alpha5_root;
+ global Nfilter;
+
+ f=fopen(filename,"wt");
+
+ fprintf(f,"/* Generated by fm_fir_coeff_file() Octave function in fm.m */\n\n");
+ fprintf(f,"const float bin[]={\n");
+ for m=1:length(fm_states.bin)-1
+ fprintf(f," %g,\n", fm_states.bin(m));
+ endfor
+ fprintf(f," %g\n};\n\n", fm_states.bin(length(fm_states.bin)));
+
+ fprintf(f,"const float bout[]={\n");
+ for m=1:length(fm_states.bout)-1
+ fprintf(f," %g,\n", fm_states.bout(m));
+ endfor
+ fprintf(f," %g\n};\n", fm_states.bout(length(fm_states.bout)));
+
+ fclose(f);
+endfunction
+
+
+function tx = analog_fm_mod(fm_states, mod)
+ Fs = fm_states.Fs;
+ fc = fm_states.fc; wc = 2*pi*fc/Fs;
+ fd = fm_states.fd; wd = 2*pi*fd/Fs;
+ nsam = length(mod);
+
+ if fm_states.pre_emp
+ mod = filter(fm_states.prede,1,mod);
+ mod = mod/max(mod); % AGC to set deviation
+ end
+
+ tx_phase = 0;
+ tx = zeros(1,nsam);
+
+ for i=0:nsam-1
+ w = wc + wd*mod(i+1);
+ tx_phase = tx_phase + w;
+ tx_phase = tx_phase - floor(tx_phase/(2*pi))*2*pi;
+ tx(i+1) = exp(j*tx_phase);
+ end
+endfunction
+
+
+function [rx_out rx_bb] = analog_fm_demod(fm_states, rx)
+ Fs = fm_states.Fs;
+ fc = fm_states.fc; wc = 2*pi*fc/Fs;
+ fd = fm_states.fd; wd = 2*pi*fd/Fs;
+ nsam = length(rx);
+ t = 0:(nsam-1);
+
+ rx_bb = rx .* exp(-j*wc*t); % down to complex baseband
+ rx_bb = filter(fm_states.bin,1,rx_bb);
+
+ % differentiate first, in rect domain, then find angle, this puts
+ % signal on the positive side of the real axis
+
+ rx_bb_diff = [ 1 rx_bb(2:nsam) .* conj(rx_bb(1:nsam-1))];
+ rx_out = atan2(imag(rx_bb_diff),real(rx_bb_diff));
+
+ % limit maximum phase jumps, to remove static type noise at low SNRs
+ if !fm_states.ph_dont_limit
+ rx_out(find(rx_out > wd)) = wd;
+ rx_out(find(rx_out < -wd)) = -wd;
+ end
+ rx_out *= (1/wd);
+
+ if fm_states.output_filter
+ rx_out = filter(fm_states.bout,1,rx_out);
+ end
+ if fm_states.de_emp
+ rx_out = filter(1,fm_states.prede,rx_out);
+ end
+endfunction
+
+
+function sim_out = analog_fm_test(sim_in)
+ nsam = sim_in.nsam;
+ CNdB = sim_in.CNdB;
+ verbose = sim_in.verbose;
+
+ Fs = fm_states.Fs = 96000;
+ fm_max = fm_states.fm_max = 3E3;
+ fd = fm_states.fd = 5E3;
+ fm_states.fc = 24E3;
+
+ fm_states.pre_emp = pre_emp = sim_in.pre_emp;
+ fm_states.de_emp = de_emp = sim_in.de_emp;
+ fm_states.Ts = 1;
+ fm_states.output_filter = 1;
+ fm_states = analog_fm_init(fm_states);
+ sim_out.Bfm = fm_states.Bfm;
+
+ Bfm = fm_states.Bfm;
+ m = fm_states.m; tc = fm_states.tc;
+ t = 0:(nsam-1);
+
+ fm = 1000; wm = 2*pi*fm/fm_states.Fs;
+
+ % start simulation
+
+ for ne = 1:length(CNdB)
+
+ % work out the variance we need to obtain our C/N in the bandwidth
+ % of the FM demod. The gaussian generator randn() generates noise
+ % with a bandwidth of Fs
+
+ aCNdB = CNdB(ne);
+ CN = 10^(aCNdB/10);
+ variance = Fs/(CN*Bfm);
+
+ % FM Modulator -------------------------------
+
+ mod = sin(wm*t);
+ tx = analog_fm_mod(fm_states, mod);
+
+ % Channel ---------------------------------
+
+ noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+ rx = tx + noise;
+
+ % FM Demodulator
+
+ [rx_out rx_bb] = analog_fm_demod(fm_states, rx);
+
+ % notch out test tone
+
+ w = 2*pi*fm/Fs; beta = 0.99;
+ rx_notch = filter([1 -2*cos(w) 1],[1 -2*beta*cos(w) beta*beta], rx_out);
+
+ % measure power with and without test tone to determine S+N and N
+
+ settle = 1000; % filter settling time, to avoid transients
+ nsettle = nsam - settle;
+
+ sinad = (rx_out(settle:nsam) * rx_out(settle:nsam)')/nsettle;
+ nad = (rx_notch(settle:nsam) * rx_notch(settle:nsam)')/nsettle;
+
+ snr = (sinad-nad)/nad;
+ sim_out.snrdB(ne) = 10*log10(snr);
+
+ % Theory from FMTutorial.pdf, Lawrence Der, Silicon labs paper
+
+ snr_theory_dB = aCNdB + 10*log10(3*m*m*(m+1));
+ fx = 1/(2*pi*tc); W = fm_max;
+ I = (W/fx)^3/(3*((W/fx) - atan(W/fx)));
+ I_dB = 10*log10(I);
+
+ sim_out.snr_theorydB(ne) = snr_theory_dB;
+ sim_out.snr_theory_pre_dedB(ne) = snr_theory_dB + I_dB;
+
+ if verbose > 1
+ printf("modn index: %2.1f Bfm: %.0f Hz\n", m, Bfm);
+ end
+
+ if verbose > 0
+ printf("C/N: %4.1f SNR: %4.1f dB THEORY: %4.1f dB or with pre/de: %4.1f dB\n",
+ aCNdB, 10*log10(snr), snr_theory_dB, snr_theory_dB+I_dB);
+ end
+
+ if verbose > 1
+ figure(1)
+ subplot(211)
+ plot(20*log10(abs(fft(rx))))
+ title('FM Modulator Output Spectrum');
+ axis([1 length(tx) 0 100]);
+ subplot(212)
+ Rx_bb = 20*log10(abs(fft(rx_bb)));
+ plot(Rx_bb)
+ axis([1 length(tx) 0 100]);
+ title('FM Demodulator (baseband) Input Spectrum');
+
+ figure(2)
+ subplot(211)
+ plot(rx_out(settle:nsam))
+ axis([1 4000 -1 1])
+ subplot(212)
+ Rx = 20*log10(abs(fft(rx_out(settle:nsam))));
+ plot(Rx(1:10000))
+ axis([1 10000 0 100]);
+ end
+
+ end
+
+endfunction
+
+
+function run_fm_curves
+ sim_in.nsam = 96000;
+ sim_in.verbose = 1;
+ sim_in.pre_emp = 0;
+ sim_in.de_emp = 0;
+ sim_in.CNdB = -4:2:20;
+
+ sim_out = analog_fm_test(sim_in);
+
+ figure(1)
+ clf
+ plot(sim_in.CNdB, sim_out.snrdB,"r;FM Simulated;");
+ hold on;
+ plot(sim_in.CNdB, sim_out.snr_theorydB,"g;FM Theory;");
+ plot(sim_in.CNdB, sim_in.CNdB,"b; SSB Theory;");
+ hold off;
+ grid("minor");
+ xlabel("FM demod input C/N (dB)");
+ ylabel("FM demod output S/N (dB)");
+ legend("boxoff");
+
+ % C/No curves
+
+ Bfm_dB = 10*log10(sim_out.Bfm);
+ Bssb_dB = 10*log10(3000);
+
+ figure(2)
+ clf
+ plot(sim_in.CNdB + Bfm_dB, sim_out.snrdB,"r;FM Simulated;");
+ hold on;
+ plot(sim_in.CNdB + Bfm_dB, sim_out.snr_theorydB,"g;FM Theory;");
+ plot(sim_in.CNdB + Bssb_dB, sim_in.CNdB,"b; SSB Theory;");
+ hold off;
+ grid("minor");
+ xlabel("FM demod input C/No (dB)");
+ ylabel("FM demod output S/N (dB)");
+ legend("boxoff");
+
+endfunction
+
+
+function run_fm_single
+ sim_in.nsam = 96000;
+ sim_in.verbose = 2;
+ sim_in.pre_emp = 0;
+ sim_in.de_emp = 0;
+
+ sim_in.CNdB = 20;
+ sim_out = analog_fm_test(sim_in);
+end
+
+
+function fm_mod_file(file_name_out, file_name_in, CNdB)
+ fm_states.Fs = 48000;
+ fm_states.fm_max = 3E3;
+ fm_states.fd = 5E3;
+ fm_states.fc = fm_states.Fs/4;
+ fm_states.pre_emp = 0;
+ fm_states.de_emp = 0;
+ fm_states.Ts = 1;
+ fm_states.output_filter = 1;
+ fm_states = analog_fm_init(fm_states);
+
+ if nargin == 1
+ nsam = fm_states.Fs * 10;
+ t = 0:(nsam-1);
+ fm = 1000; wm = 2*pi*fm/fm_states.Fs;
+ mod = sin(wm*t);
+ else
+ fin = fopen(file_name_in,"rb");
+ mod = fread(fin,"short")';
+ mod /= 32767;
+ fclose(fin);
+ end
+ tx = analog_fm_mod(fm_states, mod);
+
+ if (nargin == 3)
+ % Optionally add some noise
+
+ CN = 10^(CNdB/10);
+ variance = fm_states.Fs/(CN*fm_states.Bfm);
+ tx += sqrt(variance)*randn(1,length(tx));
+ end
+
+ tx_out = tx*16384;
+ fout = fopen(file_name_out,"wb");
+ fwrite(fout, tx_out, "short");
+ fclose(fout);
+endfunction
+
+
+function fm_demod_file(file_name_out, file_name_in)
+ fin = fopen(file_name_in,"rb");
+ rx = fread(fin,"short")';
+ rx = rx(100000:length(rx)); % strip of wave header
+ fclose(fin);
+
+ Fs = fm_states.Fs = 48000;
+ fm_max = fm_states.fm_max = 3E3;
+ fd = fm_states.fd = 5E3;
+ fm_states.fc = 12E3;
+
+ fm_states.pre_emp = 0;
+ fm_states.de_emp = 1;
+ fm_states.Ts = 1;
+ fm_states.output_filter = 1;
+ fm_states = analog_fm_init(fm_states);
+
+ [rx_out rx_bb] = analog_fm_demod(fm_states, rx);
+
+ rx_out *= 20000;
+ fout = fopen(file_name_out,"wb");
+ fwrite(fout, rx_out, "short");
+ fclose(fout);
+
+ figure(1)
+ subplot(211)
+ plot(rx)
+ subplot(212)
+ plot(20*log10(abs(fft(rx))))
+ title('FM Dmodulator Intput Spectrum');
+
+ figure(2)
+ subplot(211)
+ Rx_bb = 20*log10(abs(fft(rx_bb)));
+ plot(Rx_bb)
+ title('FM Demodulator (baseband) Input Spectrum');
+
+ subplot(212)
+ plot(20*log10(abs(fft(rx_out))))
+ title('FM Dmodulator Output Spectrum');
+
+ figure(3)
+ plot(rx_out)
+ title('FM Dmodulator Output');
+
+ % estimate SNR, C/No etc
+
+ npower_window = 1024;
+ rx_power = conv(rx.^2,ones(1,npower_window))/(npower_window);
+ rx_power_dB = 10*log10(rx_power);
+ figure;
+ subplot(211)
+ plot(rx);
+ subplot(212)
+ plot(rx_power_dB);
+ axis([1 length(rx_power) max(rx_power_dB)-9 max(rx_power_dB)+1])
+ grid("minor")
+
+ % estimate FM demod output SNR if a 1000 Hz tone is present
+
+ w = 2*pi*1000/Fs; beta = 0.99;
+ rx_notch = filter([1 -2*cos(w) 1],[1 -2*beta*cos(w) beta*beta], rx_out);
+
+ rx_out_power = conv(rx_out.^2,ones(1,npower_window))/(npower_window);
+ rx_out_power_dB = 10*log10(rx_out_power);
+ rx_notch_power = conv(rx_notch.^2,ones(1,npower_window))/(npower_window);
+ rx_notch_power_dB = 10*log10(rx_notch_power);
+ figure;
+ plot(rx_out_power_dB,'r;FM demod output power;');
+ hold on;
+ plot(rx_notch_power_dB,'b;1000 Hz notch filter output power;');
+ plot(rx_out_power_dB-rx_notch_power_dB,'g;1000 Hz tone SNR;');
+ hold off;
+ legend("boxoff");
+ ylabel('dB');
+ xlabel('Time (samples)');
+ grid("minor")
+
+endfunction
+
+
+% generate filter coeffs for C implementation of FM demod
+
+function make_coeff_file
+ fm_states.Fs = 44400;
+ fm_states.fm_max = 3E3;
+ fm_states.fd = 5E3;
+ fm_states.fc = fm_states.Fs/4;
+
+ fm_states.pre_emp = 0;
+ fm_states.de_emp = 0;
+ fm_states.Ts = 1;
+ fm_states.output_filter = 1;
+ fm_states = analog_fm_init(fm_states);
+
+ fm_fir_coeff_file(fm_states, "fm_fir_coeff.h")
+endfunction
+
+function test_fm_modulator
+ fm_states.Fs = 48000;
+ fm_states.fm_max = 3E3;
+ fm_states.fd = 5E3;
+ %fm_states.fc = fm_states.Fs/4;
+ fm_states.fc = 0;
+
+ fm_states.pre_emp = 0;
+ fm_states.de_emp = 0;
+ fm_states.Ts = 1;
+ fm_states.output_filter = 1;
+ fm_states = analog_fm_init(fm_states);
+
+ test_t = [1:(fm_states.Fs*10)];
+ test_freq1 = 2*pi*3000/fm_states.Fs;
+ test_freq2 = 2*pi*1000/fm_states.Fs;
+
+ test_sig = .5*sin(test_t*test_freq1) + .5*sin(test_t*test_freq2);
+ %test_sig = zeros(1,length(test_t));
+ %test_sig = ones(1,length(test_t));
+
+ ftsig = fopen("fm_test_sig.raw","wb");
+ fwrite(ftsig,test_sig*16384,"short");
+ fclose(ftsig);
+
+ system("../fm_test fm_test_sig.raw fm_test_out.raw");
+ ftmod = fopen("fm_test_out.raw","r");
+ test_mod_p = rot90(fread(ftmod,"short"))/16384;
+ test_mod_r = test_mod_p(1:2:length(test_mod_p));
+ test_mod_i = test_mod_p(2:2:length(test_mod_p));
+ test_mod = test_mod_r .+ i*test_mod_i;
+ fclose(ftmod);
+
+ comp_mod = analog_fm_mod(fm_states,test_sig);
+
+ figure(1)
+ comp_mod_real = real(comp_mod);
+ size(comp_mod_real)
+ size(test_mod)
+ mod_diff = zeros(1,length(test_mod));
+ mod_diff = test_mod .- comp_mod;
+ plot(test_t,real(test_mod .- comp_mod),test_t,imag(test_mod .- comp_mod));
+
+endfunction
+
+more off;
+
+%run_fm_curves
+%fm_demod_file("ssb_fm_out.raw","~/Desktop/ssb_fm.wav")
+%fm_demod_file("ssb25_fm_de.raw", "~/Desktop/ssb25db.wav")
+%run_fm_single
+%make_coeff_file
+%fm_mod_file("fm_1000.raw");
+%test_fm_modulator
diff --git a/libcodec2-android/src/codec2/octave/fm_radio_filt_model.txt b/libcodec2-android/src/codec2/octave/fm_radio_filt_model.txt
new file mode 100644
index 0000000..368f7e2
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fm_radio_filt_model.txt
@@ -0,0 +1,8 @@
+# Created by Octave 4.0.0, Wed Feb 10 20:14:16 2016 CST
+# name: filt
+# type: matrix
+# rows: 1
+# columns: 1001
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+
+
diff --git a/libcodec2-android/src/codec2/octave/fmfsk.m b/libcodec2-android/src/codec2/octave/fmfsk.m
new file mode 100644
index 0000000..4b3cc91
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fmfsk.m
@@ -0,0 +1,346 @@
+%
+% fmfsk.m
+% Author: Brady O'Brien 3 Feb 2016
+% Copyright 2016 David Rowe
+%
+% All rights reserved.
+%
+% This program is free software; you can redistribute it and/or modify
+% it under the terms of the GNU Lesser General Public License veRbion 2, as
+% published by the Free Software Foundation. This program is
+% distributed in the hope that it will be useful, but WITHOUT ANY
+% WARRANTY; without even the implied warranty of MERCHANTABILITY or
+% FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
+% License for more details.
+%
+% You should have received a copy of the GNU Lesser General Public License
+% along with this program; if not, see .
+
+% mancyfsk.m modem, extracted and made suitable for C implementation
+
+fm;
+pkg load signal;
+pkg load parallel;
+1;
+
+% Init fmfsk modem
+%Fs is sample frequency
+%Rb is pre-manchester bit rate
+function states = fmfsk_init(Fs,Rb)
+ assert(mod(Fs,Rb*2)==0);
+
+ %Current fixed processing buffer size, in non-ME bits
+ nbit = 96;
+
+ states.Rb = Rb;
+ states.Rs = Rb*2; % Manchester-encoded bitrate
+ states.Fs = Fs;
+ states.Ts = Fs/states.Rs;
+ states.N = nbit*2*states.Ts;
+ states.nin = states.N; % Samples in the next demod cycle
+ states.nstash = states.Ts*2; % How many samples to stash away between proc cycles for timing adjust
+ states.nmem = states.N+(4*states.Ts);
+ states.nsym = nbit*2;
+ states.nbit = nbit;
+
+ %tates.nsym = floor(states.Rs*.080);
+ %states.nbit = floor(states.Rb*.080)
+ %Old sample memory
+
+ states.oldsamps = zeros(1,states.nmem);
+
+ %Last sampled-stream output, for odd bitstream generation
+ states.lastint = 0;
+
+ %Some stats
+ states.norm_rx_timing = 0;
+
+endfunction
+
+%Generate a stream of manchester-coded bits to be sent
+% to any ordinary FM modulator or VCO or something
+function tx = fmfsk_mod(states,inbits)
+ Ts = states.Ts;
+ tx = zeros(1,length(inbits)*2);
+ for ii = 1:length(inbits)
+ st = 1 + (ii-1)*Ts*2;
+ md = st+Ts-1;
+ en = md+Ts;
+ if inbits(ii)==0
+ tx(st:md) = -ones(1,Ts);
+ tx(md+1:en) = ones(1,Ts);
+ else
+ tx(st:md) = ones(1,Ts);
+ tx(md+1:en) = -ones(1,Ts);
+ end
+ end
+endfunction
+
+%Demodulate a bag of bits from the output of an FM demodulator
+% This function produces nbits output bits and takes states.nin samples
+function [rx_bits states] = fmfsk_demod(states,rx)
+ Ts = states.Ts;
+ Fs = states.Fs;
+ Rs = states.Rs;
+ nin = states.nin;
+ N = states.N;
+ nsym = states.nsym;
+ nbits = states.nsym/2;
+ nmem = states.nmem;
+ nstash = states.nstash;
+
+ nold = nmem-nin;
+ ssamps = states.oldsamps;
+
+
+ %Shift in nin samples
+ ssamps(1:nold) = ssamps(nmem-nold+1:nmem);
+ ssamps(nold+1:nmem) = rx;
+ states.oldsamps = ssamps;
+
+ rx_filt = zeros(1,(nsym+1)*Ts);
+ %Integrate Ts input samples at every offset
+ %This is the same thing as filtering with a filter of all ones
+ % out to Ts.
+ % It's implemented like this for ease of C-porting
+ for ii=(1:(nsym+1)*Ts)
+ st = ii;
+ en = st+Ts-1;
+ rx_filt(ii) = sum(ssamps(st:en));
+ end
+ states.rx_filt = rx_filt;
+ % Fine timing estimation ------------------------------------------------------
+
+ % Estimate fine timing using line at Rs/2 that Manchester encoding provides
+ % We need this to sync up to Manchester codewords.
+ Np = length(rx_filt);
+ w = 2*pi*(Rs)/Fs;
+ x = (rx_filt .^ 2) * exp(-j*w*(0:Np-1))';
+ norm_rx_timing = angle(x)/(2*pi)-.42;
+
+ rx_timing = round(norm_rx_timing*Ts);
+
+ %If rx timing is too far out, ask for more or less sample the next time
+ % around to even it all out
+ next_nin = N;
+ if norm_rx_timing > -.2;
+ next_nin += Ts/2;
+ end
+ if norm_rx_timing < -.65;
+ next_nin -= Ts/2;
+ end
+
+ states.nin = next_nin;
+ states.norm_rx_timing = norm_rx_timing;
+ %'Even' and 'Odd' manchester bitstream.
+ % We'll figure out which to produce later
+ rx_even = zeros(1,nbits);
+ rx_odd = zeros(1,nbits);
+ apeven = 0;
+ apodd = 0;
+
+ sample_offset = (Ts/2)+Ts+rx_timing-1;
+
+ symsamp = zeros(1,nsym);
+
+ % Figure out the bits of the 'even' and 'odd' ME streams
+ % Also sample rx_filt offset by what fine timing determined along the way
+ % Note: ii is a zero-indexed array pointer, for less mind-breaking c portage
+ lastv = states.lastint;
+ for ii = (0:nsym-1)
+ currv = rx_filt(sample_offset+(ii*Ts)+1);
+ mdiff = lastv-currv;
+ lastv = currv;
+ mbit = mdiff>0;
+ symsamp(ii+1) = currv;
+ if mod(ii,2)==1
+ apeven += abs(mdiff);
+ rx_even( floor(ii/2)+1 ) = mbit;
+ else
+ apodd += abs(mdiff);
+ rx_odd( floor(ii/2)+1 ) = mbit;
+ end
+ end
+ states.symsamp = symsamp;
+ % Decide on the correct ME alignment
+ if(apeven>apodd)
+ rx_bits = rx_even;
+ else
+ rx_bits = rx_odd;
+ end
+
+ states.lastint = lastv;
+endfunction
+
+% run_sim copypasted from fsk_horus.m
+% simulation of tx and rx side, add noise, channel impairments ----------------------
+
+function fmfsk_run_sim(EbNodB,timing_offset=0,de=0,of=0,hpf=0)
+ test_frame_mode = 2;
+ frames = 70;
+ %EbNodB = 3;
+ %timing_offset = 0.0; % see resample() for clock offset below
+ %fading = 0; % modulates tx power at 2Hz with 20dB fade depth,
+ % to simulate balloon rotating at end of mission
+ df = 0; % tx tone freq drift in Hz/s
+ dA = 1; % amplitude imbalance of tones (note this affects Eb so not a gd idea)
+
+ more off
+ rand('state',1);
+ randn('state',1);
+
+ Fs = 48000;
+ Rbit = 2400;
+
+ % ----------------------------------------------------------------------
+
+ fm_states.pre_emp = 0;
+ fm_states.de_emp = de;
+ fm_states.Ts = Fs/(Rbit*2);
+ fm_states.Fs = Fs;
+ fm_states.fc = Fs/4;
+ fm_states.fm_max = 3E3;
+ fm_states.fd = 5E3;
+ fm_states.output_filter = of;
+ fm_states = analog_fm_init(fm_states);
+
+ % ----------------------------------------------------------------------
+
+ states = fmfsk_init(Fs,Rbit);
+
+ states.verbose = 0x1;
+ Rs = states.Rs;
+ nsym = states.nsym;
+ Fs = states.Fs;
+ nbit = states.nbit;
+
+ EbNo = 10^(EbNodB/10);
+ variance = states.Fs/(states.Rb*EbNo);
+
+ % set up tx signal with payload bits based on test mode
+
+ if test_frame_mode == 1
+ % test frame of bits, which we repeat for convenience when BER testing
+ test_frame = round(rand(1, states.nbit));
+ tx_bits = [];
+ for i=1:frames+1
+ tx_bits = [tx_bits test_frame];
+ end
+ end
+ if test_frame_mode == 2
+ % random bits, just to make sure sync algs work on random data
+ tx_bits = round(rand(1, states.nbit*(frames+1)));
+ end
+ if test_frame_mode == 3
+ % repeating sequence of all symbols
+ % great for initial test of demod if nothing else works,
+ % look for this pattern in rx_bits
+
+ % ...10101...
+ tx_bits = zeros(1, states.nbit*(frames+1));
+ tx_bits(1:2:length(tx_bits)) = 1;
+
+ end
+
+ load fm_radio_filt_model.txt
+
+ [b, a] = cheby1(4, 1, 300/Fs, 'high'); % 300Hz HPF to simulate FM radios
+
+ tx_pmod = fmfsk_mod(states, tx_bits);
+ tx = analog_fm_mod(fm_states, tx_pmod);
+
+ tx = tx(10:length(tx));
+
+ if(timing_offset>0)
+ tx = resample(tx, 1000,1001); % simulated 1000ppm sample clock offset
+ end
+
+
+ noise = sqrt(variance)*randn(length(tx),1);
+ rx = tx + noise';
+
+ %Demod by analog fm
+ rx = analog_fm_demod(fm_states, rx);
+
+ %High-pass filter to simulate the FM radios
+ if hpf>0
+ printf("high-pass filtering!\n")
+ rx = filter(b,a,rx);
+ end
+ rx = filter(filt,1,rx);
+
+ figure(4)
+ title("Spectrum of rx-ed signal after FM demod and FM radio channel");
+ plot(20*log10(abs(fft(rx))))
+ figure(5)
+ title("Time domain of rx-ed signal after FM demod and FM radio channel");
+ plot(rx)
+ %rx = real(rx);
+ %b1 = fir2(100, [0 4000 5200 48000]/48000, [1 1 0.5 0.5]);
+ %rx = filter(b1,1,rx);
+ %[b a] = cheby2(6,40,[3000 6000]/(Fs/2));
+ %rx = filter(b,a,rx);
+ %rx = sign(rx);
+ %rx(find (rx > 1)) = 1;
+ %rx(find (rx < -1)) = -1;
+
+ % dump simulated rx file
+
+ timing_offset_samples = round(timing_offset*states.Ts);
+ st = 1 + timing_offset_samples;
+ rx_bits_buf = zeros(1,2*nbit);
+ x_log = [];
+ timing_nl_log = [];
+ norm_rx_timing_log = [];
+ f_int_resample_log = [];
+ f_log = [];
+ EbNodB_log = [];
+ rx_bits_log = [];
+ rx_bits_sd_log = [];
+
+ for f=1:frames
+
+ % extract nin samples from input stream
+
+ nin = states.nin;
+ en = st + states.nin - 1;
+ sf = rx(st:en);
+ st += nin;
+
+ % demodulate to stream of bits
+
+ [rx_bits states] = fmfsk_demod(states, sf);
+
+ rx_bits_buf(1:nbit) = rx_bits_buf(nbit+1:2*nbit);
+ rx_bits_buf(nbit+1:2*nbit) = rx_bits;
+ rx_bits_log = [rx_bits_log rx_bits];
+
+ end
+
+ ber = 1;
+ ox = 1;
+ rx_bits = rx_bits_log;
+ bitcnt = length(tx_bits);
+ for offset = (1:100)
+ nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
+ bern = nerr/(bitcnt-offset);
+ if(bern < ber)
+ ox = offset;
+ best_nerr = nerr;
+ end
+ ber = min([ber bern]);
+ end
+ offset = ox;
+ figure(3);
+ plot(xor(rx_bits(ox:length(rx_bits)),tx_bits(1:length(rx_bits)+1-ox)))
+
+ printf("BER: %f Errors: %d Bits:%d\n",ber,best_nerr,bitcnt-offset);
+
+ endfunction
+
+
+% demodulate a file of 8kHz 16bit short samples --------------------------------
+
+
+
+
diff --git a/libcodec2-android/src/codec2/octave/fsk4_dmr.m b/libcodec2-android/src/codec2/octave/fsk4_dmr.m
new file mode 100644
index 0000000..8891a45
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk4_dmr.m
@@ -0,0 +1,540 @@
+% fsk4.m
+%
+% Brady O'Brien October 2015
+%
+% 4FSK modem attempt from the DMR spec
+
+graphics_toolkit("gnuplot");
+
+fm; % analog FM modulator functions
+
+pkg load signal;
+
+% Init function for modem ------------------------------------------------------------
+
+function fsk4_states = fsk4_init(fsk4_states,fsk4_info)
+ Fs = fsk4_states.Fs = 48000; %Sample rate
+ Rs = fsk4_states.Rs = fsk4_info.rs; %Symbol rate
+ M = fsk4_states.M = fsk4_states.Fs/fsk4_states.Rs; %Samples per symbol
+
+ % Set up 4FSK raised cosine filter. This probably screws up perf if we were using
+ % optimal mod and dmeods but helps performance when using nasty old analog FM mods
+ % and demods
+
+ empty_filter = [zeros(1,99) 1];
+
+ rf = (0:(Fs/2));
+ %If there's no filter with this modem configuration, don't bother generating one
+ if fsk4_info.no_filter
+ fsk4_states.tx_filter = empty_filter;
+ fsk4_states.rx_filter = empty_filter;
+ else
+ fsk4_states.tx_filter = fir2(400 ,rf/(Fs/2),fsk4_info.tx_filt_resp(rf));
+ fsk4_states.rx_filter = fir2(400 ,rf/(Fs/2),fsk4_info.rx_filt_resp(rf));
+ endif
+
+ %fsk4_states.tx_filter = fsk4_states.rx_filter = [zeros(1,99) 1];
+ %Set up the 4FSK symbols
+ fsk4_states.symmap = fsk4_info.syms / fsk4_info.max_dev;
+
+ fm_states.Ts = M;
+ fm_states.Fs = Fs;
+ fm_states.fc = 0;
+ fm_states.fm_max = fsk4_info.max_dev*2;
+ fm_states.fd = fsk4_info.max_dev;
+ fm_states.pre_emp = fm_states.de_emp = 0;
+ fm_states.output_filter = 0;
+ fm_states.ph_dont_limit = 1;
+ fsk4_states.fm_states = analog_fm_init(fm_states);
+ fsk4_states.modinfo = fsk4_info;
+ fsk4_states.verbose = 0;
+endfunction
+
+%Integrate over data and dump every M samples
+function d = idmp(data, M)
+ d = zeros(1,length(data)/M);
+ for i = 1:length(d)
+ d(i) = sum(data(1+(i-1)*M:i*M));
+ end
+endfunction
+
+
+% DMR modulator ----------------------------------------------------------
+
+function [tx, tx_filt, tx_stream] = fsk4_mod(fsk4_states, tx_bits)
+ verbose = fsk4_states.verbose
+
+ hbits = tx_bits(1:2:length(tx_bits));
+ lbits = tx_bits(2:2:length(tx_bits));
+ %Pad odd bit lengths
+ if(length(hbits)!=length(lbits))
+ lbits = [lbits 0];
+ end
+ tx_symbols = lbits + hbits*2 + 1;
+ M = fsk4_states.M;
+ nsym = length(tx_symbols);
+ nsam = nsym*M;
+
+ tx_stream = zeros(1,nsam);
+ for i=1:nsym
+ tx_stream(1+(i-1)*M:i*M) = fsk4_states.symmap(tx_symbols(i));
+ end
+ tx_filt = filter(fsk4_states.tx_filter, 1, tx_stream);
+ tx = analog_fm_mod(fsk4_states.fm_states, tx_filt);
+
+ if verbose
+ figure(10);
+ plot(20*log10(abs(fft(tx))))
+ title("Spectrum of modulated 4FSK")
+ endif
+
+endfunction
+
+
+% Integrate and Dump 4FSK demod ----------------------------------------------------
+
+function bits = fsk4_demod_thing(fsk4_states, rx)
+
+ M = fsk4_states.M;
+ Fs = fsk4_states.Fs;
+ verbose = fsk4_states.verbose;
+ t = (0:length(rx)-1);
+ symup = fsk4_states.modinfo.syms;
+
+ % Integrator is like an FIR filter with rectangular window coeffs.
+ % This has some nasty side lobes so lets limit the overall amount
+ % of noise getting in. tx filter just happens to work, but I imagine
+ % other LPF would as well.
+
+ Fs = fsk4_states.Fs;
+ rf = (0:(Fs/2));
+ rx_filter_a = fir1(100 ,.2);
+ rx_filter_b = fsk4_states.rx_filter;
+ rx_filter_n = [zeros(1,99) 1];
+
+ rx = filter(rx_filter_b, 1, rx);
+
+ sym1m = exp(-j*2*pi*(symup(1)/Fs)*t).*rx;
+ sym2m = exp(-j*2*pi*(symup(2)/Fs)*t).*rx;
+ sym3m = exp(-j*2*pi*(symup(3)/Fs)*t).*rx;
+ sym4m = exp(-j*2*pi*(symup(4)/Fs)*t).*rx;
+
+ % this puppy found by experiment between 1 and M. Will vary with different
+ % filter impulse responses, as delay will vary. f you add M to it coarse
+ % timing will adjust by 1.
+
+ fine_timing = 54;
+
+ sym1m = idmp(sym1m(fine_timing:length(sym1m)),M); sym1m = (real(sym1m).^2+imag(sym1m).^2);
+ sym2m = idmp(sym2m(fine_timing:length(sym2m)),M); sym2m = (real(sym2m).^2+imag(sym2m).^2);
+ sym3m = idmp(sym3m(fine_timing:length(sym3m)),M); sym3m = (real(sym3m).^2+imag(sym3m).^2);
+ sym4m = idmp(sym4m(fine_timing:length(sym4m)),M); sym4m = (real(sym4m).^2+imag(sym4m).^2);
+
+
+ figure(2);
+ nsym = 500;
+ %subplot(411); plot(sym1m(1:nsym))
+ %subplot(412); plot(sym2m(1:nsym))
+ %subplot(413); plot(sym3m(1:nsym))
+ %subplot(414); plot(sym4m(1:nsym))
+ plot((1:nsym),sym1m(1:nsym),(1:nsym),sym2m(1:nsym),(1:nsym),sym3m(1:nsym),(1:nsym),sym4m(1:nsym))
+
+ [x iv] = max([sym1m; sym2m; sym3m; sym4m;]);
+ bits = zeros(1,length(iv*2));
+ figure(3);
+ hist(iv);
+ for i=1:length(iv)
+ bits(1+(i-1)*2:i*2) = [[0 0];[0 1];[1 0];[1 1]](iv(i),(1:2));
+ end
+endfunction
+
+function dat = bitreps(in,M)
+ dat = zeros(1,length(in)*M);
+ for i=1:length(in)
+ dat(1+(i-1)*M:i*M) = in(i);
+ end
+endfunction
+
+% Minimal Running Disparity, 4 symbol encoder
+% This is a simple 1 bit to 1 symbol encoding for 4fsk modems built
+% on old fashoned FM radios.
+function syms = mrd4(bits)
+ syms = zeros(1,length(bits));
+ rd=0;
+ lastsym=0;
+ for n = (1:length(bits))
+ bit = bits(n);
+ sp = [1 3](bit+1); %Map a bit to a +1 or +3
+ [x,v] = min(abs([rd+sp rd-sp])); %Select +n or -n, whichever minimizes disparity
+ ssel = [sp -sp](v);
+ if(ssel == lastsym)ssel = -ssel;endif %never run 2 of the same syms in a row
+ syms(n) = ssel; %emit the symbol
+ rd = rd + ssel; %update running disparity
+ lastsym = ssel; %remember this symbol for next time
+ end
+endfunction
+
+% Minimal Running Disparity, 8 symbol encoder
+% This is a simple 2 bit to 1 symbol encoding for 8fsk modems built
+% on old fashoned FM radios.
+function syms = mrd8(bits)
+ bitlen = length(bits);
+ if mod(bitlen,2) == 1
+ bits = [bits 0]
+ endif
+
+ syms = zeros(1,length(bits)*.5);
+ rd=0;
+ lastsym=0;
+ for n = (1:2:length(bits))
+ bit = (bits(n)*2)+bits(n+1);
+ sp = [1 3 7 5](bit+1); %Map a bit to a +1 or +3
+ [x,v] = min(abs([rd+sp rd-sp])); %Select +n or -n, whichever minimizes disparity
+ ssel = [sp -sp](v);
+ if(ssel == lastsym)ssel = -ssel;endif %never run 2 of the same syms in a row
+ syms((n+1)/2) = ssel; %emit the symbol
+ rd = rd + ssel; %update running disparity
+ lastsym = ssel; %remember this symbol for next time
+ end
+endfunction
+
+% "Manchester 4" encoding
+function syms = mane4(bits)
+ syms = zeros(1,floor(bits/2)*2);
+ for n = (1:2:length(bits))
+ bit0 = bits(n);
+ bit1 = bits(n+1);
+ sel = 2*bit0+bit1+1;
+ syms(n:n+1) = [[3 -3];[-3 3];[1 -1];[-1 1]]( sel,(1:2) );
+ end
+endfunction
+
+function out = fold_sum(in,l)
+ sublen = floor(length(in)/l);
+ out = zeros(1,l);
+ for i=(1:sublen)
+ v = in(1+(i-1)*l:i*l);
+ out = out + v;
+ end
+endfunction
+
+function [bits err rxphi] = fsk4_demod_fmrid(fsk4_states, rx, enable_fine_timing = 0)
+ %Demodulate fsk signal with an analog fm demod
+ rxd = analog_fm_demod(fsk4_states.fm_states,rx);
+
+ M = fsk4_states.M;
+ verbose = fsk4_states.verbose;
+ %This is the ideal fine timing, assuming the same offset in nfbert
+ fine_timing = 61;
+
+ %This is meant to be adjusted by the fine timing estimator. comment out for
+ %ideal timing
+ %fine_timing = 59;
+
+ %RRC filter to get rid of some of the noise
+ rxd = filter(fsk4_states.rx_filter, 1, rxd);
+
+ %Try and figure out where sampling should happen over 30 symbol periods
+ diffsel = fold_sum(abs(diff( rxd(3001:3001+(M*30)) )),10);
+
+ if verbose
+ figure(11);
+ plot(diffsel);
+ title("Fine timing estimation");
+ endif
+
+ %adjust fine timing
+ [v iv] = min(diffsel);
+ if enable_fine_timing
+ fine_timing = 59 + iv;
+ endif
+ rxphi = iv;
+
+ %sample symbols
+ sym = rxd(fine_timing:M:length(rxd));
+
+ if verbose
+ figure(4)
+ plot(sym(1:1000));
+ title("Sampled symbols")
+ endif
+ %eyediagram(afsym,2);
+ % Demod symbol map. I should probably figure a better way to do this.
+ % After sampling, the furthest symbols tend to be distributed about .80
+
+ % A little cheating to demap the symbols
+ % Take a histogram of the sampled symbols, find the center of the largest distribution,
+ % and correct the symbol map to match it
+ [a b] = hist(abs(sym),50);
+ [a ii] = max(a);
+ %grmax = abs(b(ii));
+ %grmax = (grmax<.65)*.65 + (grmax>=.65)*grmax;
+ grmax = .84;
+ dmsyms = rot90(fsk4_states.symmap*grmax)
+ (dmsyms(2)+dmsyms(1))/2
+
+ if verbose
+ figure(2)
+ hist(abs(sym),200);
+ title("Sampled symbol histogram")
+ endif
+
+ %demap the symbols
+ [err, symout] = min(abs(sym-dmsyms));
+
+ if verbose
+ figure(3)
+ hist(symout);
+ title("De-mapped symbols")
+ endif
+
+ bits = zeros(1,length(symout)*2);
+ %Translate symbols back into bits
+
+ for i=1:length(symout)
+ bits(1+(i-1)*2:i*2) = [[1 1];[1 0];[0 1];[0 0]](symout(i),(1:2));
+ end
+endfunction
+
+% Frequency response of the DMR raised cosine filter
+% from ETSI TS 102 361-1 V2.2.1 page 111
+dmr.tx_filt_resp = @(f) sqrt(1.0*(f<=1920) - cos((pi*f)/1920).*1.0.*(f>1920 & f<=2880));
+dmr.rx_filt_resp = dmr.tx_filt_resp;
+dmr.max_dev = 1944;
+dmr.syms = [-1944 -648 1944 648];
+dmr.rs = 4800;
+dmr.no_filter = 0;
+dmr.demod_fx = @fsk4_demod_fmrid;
+global dmr_info = dmr;
+
+
+% No-filter 4FSK 'ideal' parameters
+nfl.tx_filt_resp = @(f) 1;
+nfl.rx_filt_resp = nfl.tx_filt_resp;
+nfl.max_dev = 7200;
+%nfl.syms = [-3600 -1200 1200 3600];
+nfl.syms = [-7200,-2400,2400,7200];
+nfl.rs = 4800;
+nfl.no_filter = 1;
+nfl.demod_fx = @fsk4_demod_thing;
+global nflt_info = nfl;
+
+%Some parameters for the NXDN filters
+nxdn_al = .2;
+nxdn_T = 416.7e-6;
+nxdn_fl = ((1-nxdn_al)/(2*nxdn_T));
+nxdn_fh = ((1+nxdn_al)/(2*nxdn_T));
+
+%Frequency response of the NXDN filters
+% from NXDN TS 1-A V1.3 page 13
+% Please note : NXDN not fully implemented or tested
+nxdn_H = @(f) 1.0*(fnxdn_fl);
+nxdn_P = @(f) (f<=nxdn_fh & f>0).*((sin(pi*f*nxdn_T))./(.00001+(pi*f*nxdn_T))) + 1.0*(f==0);
+nxdn_D = @(f) (f<=nxdn_fh & f>0).*((pi*f*nxdn_T)./(.00001+sin(pi*f*nxdn_T))) + 1.0*(f==0);
+
+nxdn.tx_filt_resp = @(f) nxdn_H(f).*nxdn_P(f);
+nxdn.rx_filt_resp = @(f) nxdn_H(f).*nxdn_D(f);
+nxdn.rs = 4800;
+nxdn.max_dev = 1050;
+nxdn.no_filter = 0;
+nxdn.syms = [-1050,-350,350,1050];
+nxdn.demod_fx = @fsk4_demod_fmrid;
+global nxdn_info = nxdn;
+
+% Bit error rate test ----------------------------------------------------------
+% Params - aEsNodB - EbNo in decibels
+% - timing_offset - how far the fine timing is offset
+% - bitcnt - how many bits to check
+% - demod_fx - demodulator function
+% Returns - ber - teh measured BER
+% - thrcoh - theory BER of a coherent demod
+% - thrncoh - theory BER of non-coherent demod
+function [ber thrcoh thrncoh] = nfbert(aEsNodB,modem_config, bitcnt=100000, timing_offset = 10)
+
+ rand('state',1);
+ randn('state',1);
+
+ %How many bits should this test run?
+ bitcnt = 120000;
+
+ test_bits = [zeros(1,100) rand(1,bitcnt)>.5]; %Random bits. Pad with zeros to prime the filters
+ fsk4_states.M = 1;
+ fsk4_states = fsk4_init(fsk4_states,modem_config);
+
+ %Set this to 0 to cut down on the plotting
+ fsk4_states.verbose = 1;
+ Fs = fsk4_states.Fs;
+ Rb = fsk4_states.Rs * 2; % Multiply symbol rate by 2, since we have 2 bits per symbol
+
+ tx = fsk4_mod(fsk4_states,test_bits);
+
+ %add noise here
+ %shamelessly copied from gmsk.m
+ EsNo = 10^(aEsNodB/10);
+ EbNo = EsNo
+ variance = Fs/(Rb*EbNo);
+ nsam = length(tx);
+ noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+ rx = tx*exp(j*pi/2) + noise;
+
+ rx = rx(timing_offset:length(rx));
+
+ rx_bits = modem_config.demod_fx(fsk4_states,rx);
+ ber = 1;
+
+ %thing to account for offset from input data to output data
+ %No preamble detection yet
+ ox = 1;
+ for offset = (1:100)
+ nerr = sum(xor(rx_bits(offset:length(rx_bits)),test_bits(1:length(rx_bits)+1-offset)));
+ bern = nerr/(bitcnt-offset);
+ if(bern < ber)
+ ox = offset;
+ best_nerr = nerr;
+ end
+ ber = min([ber bern]);
+ end
+ offset = ox;
+ printf("\ncoarse timing: %d nerr: %d\n", offset, best_nerr);
+
+ % Coherent BER theory
+ thrcoh = erfc(sqrt(EbNo));
+
+ % non-coherent BER theory calculation
+ % It was complicated, so I broke it up
+
+ ms = 4;
+ ns = (1:ms-1);
+ as = (-1).^(ns+1);
+ bs = (as./(ns+1));
+
+ cs = ((ms-1)./ns);
+
+ ds = ns.*log2(ms);
+ es = ns+1;
+ fs = exp( -(ds./es)*EbNo );
+
+ thrncoh = ((ms/2)/(ms-1)) * sum(bs.*((ms-1)./ns).*exp( -(ds./es)*EbNo ));
+
+endfunction
+
+% RX fine timing estimation playground
+function rxphi = fine_ex(timing_offset = 1)
+ global dmr_info;
+ global nxdn_info;
+ global nflt_info;
+
+ rand('state',1);
+ randn('state',1);
+
+ bitcnt = 12051;
+ test_bits = [zeros(1,100) rand(1,bitcnt)>.5]; %Random bits. Pad with zeros to prime the filters
+ t_vec = [0 0 1 1];
+ %test_bits = repmat(t_vec,1,ceil(24000/length(t_vec)));
+
+
+ fsk4_states.M = 1;
+ fsk4_states = fsk4_init(fsk4_states,dmr_info);
+ Fs = fsk4_states.Fs;
+ Rb = fsk4_states.Rs * 2; %Multiply symbol rate by 2, since we have 2 bits per symbol
+
+ tx = fsk4_mod(fsk4_states,test_bits);
+
+ %add noise here
+ %shamelessly copied from gmsk.m
+ %EsNo = 10^(aEsNodB/10);
+ %EbNo = EsNo
+ %variance = Fs/(Rb*EbNo);
+ %nsam = length(tx);
+ %noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+ %rx = tx*exp(j*pi/2) + noise;
+ rx = tx;
+ rx = rx(timing_offset:length(rx));
+
+ [rx_bits biterr rxphi] = fsk4_demod_fmrid(fsk4_states,rx);
+ ber = 1;
+
+ %thing to account for offset from input data to output data
+ %No preamble detection yet
+ ox = 1;
+ for offset = (1:100)
+ nerr = sum(xor(rx_bits(offset:length(rx_bits)),test_bits(1:length(rx_bits)+1-offset)));
+ bern = nerr/(bitcnt-offset);
+ if(bern < ber)
+ ox = offset;
+ best_nerr = nerr;
+ end
+ ber = min([ber bern]);
+ end
+ offset = ox;
+ printf("\ncoarse timing: %d nerr: %d\n", offset, best_nerr);
+
+endfunction
+
+%Run over a wide range of offsets and make sure fine timing makes sense
+function fsk4_rx_phi(socket)
+ %pkg load parallel
+ offrange = [100:200];
+ [a b c phi] = pararrayfun(1.25*nproc(),@nfbert,10*length(offrange),offrange);
+
+ close all;
+ figure(1);
+ clf;
+ plot(offrange,phi);
+endfunction
+
+
+% Run this function to compare the theoretical 4FSK modem performance
+% with our DMR modem simulation
+
+function fsk4_ber_curves
+ global dmr_info;
+ global nxdn_info;
+ global nflt_info;
+
+ EbNodB = 1:20;
+ bers_tco = bers_real = bers_tnco = bers_idealsim = ones(1,length(EbNodB));
+
+ %vectors of the same param to pass into pararrayfun
+ dmr_infos = repmat(dmr_info,1,length(EbNodB));
+ nflt_infos = repmat(nflt_info,1,length(EbNodB));
+ thing = @fsk4_demod_thing;
+
+ % Lovely innovation by Brady to use all cores and really speed up the simulation
+
+ %try
+ pkg load parallel
+ bers_idealsim = pararrayfun(floor(1.25*nproc()),@nfbert,EbNodB,nflt_infos);
+ [bers_real,bers_tco,bers_tnco] = pararrayfun(floor(1.25*nproc()),@nfbert,EbNodB,dmr_infos);
+ %catch
+ % printf("You should install package parallel. It'll make this run way faster\n");
+ % for ii=(1:length(EbNodB));
+ %[bers_real(ii),bers,tco(ii),bers_tnco(ii)] = nfbert(EbNodB(ii));
+ % end
+ %end_try_catch
+
+ close all
+ figure(1);
+ clf;
+ semilogy(EbNodB, bers_tnco,'r;4FSK non-coherent theory;')
+ hold on;
+
+ semilogy(EbNodB, bers_tco,'b;4FSK coherent theory;')
+ semilogy(EbNodB, bers_real ,'g;4FSK DMR simulation;')
+ semilogy(EbNodB, bers_idealsim, 'v;FSK4 Ideal Non-coherent simulation;')
+ hold off;
+ grid("minor");
+ axis([min(EbNodB) max(EbNodB) 1E-5 1])
+ legend("boxoff");
+ xlabel("Eb/No (dB)");
+ ylabel("Bit Error Rate (BER)")
+
+endfunction
+
+
+
+
+
+
+
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_basic.m b/libcodec2-android/src/codec2/octave/fsk_basic.m
new file mode 100644
index 0000000..753f4ae
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_basic.m
@@ -0,0 +1,60 @@
+% fsk_basic.m
+% David Rowe 30 sep 2016
+%
+% Basic non-coherent FSK modem simulation to illustrate principles
+% and compare to ideal
+
+rand('seed',1);
+randn('seed',1);
+
+Fs = 9600; % sample rate
+f1 = 1200;
+f2 = 2400;
+Rs = 1200; % symbol rate
+Ts = Fs/Rs; % length of each symbol in samples
+Nbits = 10000;
+EbNodB = 9;
+
+tx_bits = round(rand(1,Nbits));
+
+% continuous phase FSK modulator
+
+w1 = 2*pi*f1/Fs;
+w2 = 2*pi*f2/Fs;
+tx_phase = 0;
+tx = zeros(1,Ts*Nbits);
+
+for i=1:Nbits
+ for k=1:Ts
+ if tx_bits(i)
+ tx_phase += w2;
+ else
+ tx_phase += w1;
+ end
+ tx((i-1)*Ts+k) = exp(j*tx_phase);
+ end
+end
+
+% AWGN channel noise
+
+EbNo = 10^(EbNodB/10);
+variance = Fs/(Rs*EbNo);
+noise = sqrt(variance/2)*(randn(1,Nbits*Ts) + j*randn(1,Nbits*Ts));
+rx = tx + noise;
+
+% integrate and dump demodulator
+
+rx_bits = zeros(1,Nbits);
+for i=1:Nbits
+ arx_symb = rx((i-1)*Ts + (1:Ts));
+ filt1 = sum(exp(-j*w1*(1:Ts)) .* arx_symb);
+ filt2 = sum(exp(-j*w2*(1:Ts)) .* arx_symb);
+ rx_bits(i) = filt2 > filt1;
+end
+
+Nerrors = sum(xor(tx_bits, rx_bits));
+ber = Nerrors/Nbits;
+printf("EbNodB: %4.1f Nerrors: %d BER: %1.3f\n", EbNodB, Nerrors, ber);
+
+
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_cml.m b/libcodec2-android/src/codec2/octave/fsk_cml.m
new file mode 100644
index 0000000..b9288fc
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_cml.m
@@ -0,0 +1,132 @@
+% Test MFSK at symbol level in CML using RA LDPC codes, Bill, June 2020
+% Simulate in AWGM and plot BERs. Assumes that CML is installed!
+%
+% If required setup numb of codewords (Ncw) and channel bits/sym (bps, 1 to 4)
+% may also select FEC code with Ctype (1 to 3); use plt to for debug plots of LLR values
+
+% July 1 version allows M=8 and pads required vectors if required to makeup 3rd bit
+
+ldpc;
+
+%rand('seed',1);
+%randn('seed',1);
+format short g
+more off
+init_cml('~/cml/');
+
+if exist('Ncw')==0, Ncw=100, end %setup defaults
+if exist('plt')==0, plt=0; end
+if exist('bps')==0, bps=4; end
+if exist('Ctype')==0, Ctype=1, end
+
+if Ctype==1
+ load H_256_768_22.txt; HRA = H_256_768_22; % rate 1/3
+elseif Ctype==2
+ load H_256_512_4.mat; HRA=H; % K=256, rate 1/2 code
+ % above code might be improved -- but still works better than rate 1/3
+elseif Ctype==3
+ load HRAa_1536_512.mat; % rate 3/4, N=2k code
+else
+ error('bad Ctype');
+end
+
+M=2^bps; nos =0; clear res
+modulation = 'FSK'; mod_order=M; mapping = 'gray';
+code_param = ldpc_init_user(HRA, modulation, mod_order, mapping);
+
+[Nr Nc] = size(HRA);
+Nbits = Nc - Nr;
+Krate = (Nc-Nr)/Nc
+framesize = Nc;
+%{
+[H_rows, H_cols] = Mat2Hrows(HRA);
+code_param.H_rows = H_rows;
+code_param.H_cols = H_cols;
+code_param.P_matrix = [];
+%}
+
+
+S =CreateConstellation('FSK', M);
+if M==2, Ebvec=[7:0.2: 8.7], end
+if M==4, Ebvec=[4:0.25: 7], end
+if M==8, Ebvec =[3.5: 0.25: 5.5]; end
+if M==16, Ebvec=[2.5:0.25:4.8]; end
+
+disp(['Symbol-based ' num2str(M) 'FSK sim with K=' ...
+ num2str(Nbits) ', code rate=' num2str(Krate) ', #CWs=' num2str(Ncw)])
+
+
+
+% if M=8, for 3 bits/symbol, may need to pad codeword with bits ...
+if floor(Nc/bps)*bps ~= Nc
+ Npad = ceil(Nc/bps) *bps-Nc
+ disp('padding codeword')
+else
+ Npad=0;
+end
+
+for Eb = Ebvec
+
+ Ec = Eb + 10*log10(Krate);
+ Es = Ec + 10*log10(bps);
+ Eslin = 10^(Es/10); %Es/N0 = 1/2k_n^2
+
+ Terrs =0;
+ for nn = 1:Ncw
+
+ txbits = randi(2,1,Nbits) -1;
+
+ codeword = LdpcEncode( txbits, code_param.H_rows, code_param.P_matrix );
+ code_param.code_bits_per_frame = length( codeword );
+ code_param.data_bits_per_frame = length(txbits);
+ Nsymb = (code_param.code_bits_per_frame+Npad)/bps;
+
+ if Npad; codeword = [codeword zeros(1,Npad)]; end
+ Tx = Modulate(codeword, S);
+
+ kn = sqrt(1/(2*Eslin));
+ Rx = Tx + kn * (randn(size(Tx)) + j*randn(size(Tx)));
+
+ SNRlin = Eslin; % Valenti calls this SNR, but seems to be Es/N0
+ symL = DemodFSK(Rx, SNRlin, 2); %demod type is nonCOH, without estimate amplitudes
+ bitL = Somap(symL);
+
+ if Npad, bitL(end-Npad+1:end)=[]; end
+ if plt>0, figure(110); hist(bitL); title('bit LLRs')
+ figure(111); hist(bitL); title('Sym Ls'), pause,
+ end
+ max_it =100; decoder_type =0;
+
+ [x_hat, PCcnt] = MpDecode( -bitL, code_param.H_rows, code_param.H_cols, ...
+ max_it, decoder_type, 1, 1);
+ Niters = sum(PCcnt~=0);
+ detected_data = x_hat(Niters,:);
+ error_positions = xor( detected_data(1:code_param.data_bits_per_frame), txbits );
+
+ Nerrs = sum( error_positions);
+ if plt>1, figure(121); plot(error_positions); Nerrs, end
+ Terrs = Terrs + Nerrs;
+ end
+
+ BER = Terrs/ (Ncw*Nbits);
+
+ %HDs = (sign(bitL)+1)/2;
+ %NerrsHD = sum(codeword~=HDs);
+ %BER_HD = Nerrs/Nbits;
+
+ nos = nos+1;
+ disp('Eb Nerrs BER')
+ res(nos, :) = [Eb, Terrs, BER]
+
+end
+figure(91)
+semilogy(res(:,1), res(:,3), '-x'); grid on; hold on;
+%semilogy(res(:,1), berawgn(res(:,1), 'fsk', M, 'noncoherent'), 'g');
+title([num2str(M) 'FSK BER with LDPC FEC'])
+xlabel('Eb/N0'); ylabel('BER')
+
+
+
+
+
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_cml_sam.m b/libcodec2-android/src/codec2/octave/fsk_cml_sam.m
new file mode 100644
index 0000000..08c701d
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_cml_sam.m
@@ -0,0 +1,376 @@
+%fsk_llr_sam Test MFSK using David's sample-based mod/demod with CML LLR routines
+% using 2k rate 3/4 RA LDPC code. Bill, July 2020
+%
+%LLR conversion options: (Ltype)
+% 1 David's original M=2 SD to LLR routine
+% 2 Bill's pdf-based M=2 or 4 SD to LLR
+% 3 Some simple HD conversions
+% 4 CML approach using symbol likelihoods, then converted to bit LLRs
+%
+% Results from this sim are stored in "res" -- use fsk_llr_plot to see BER figs
+% Use "plt" to see some useful plots (for selected Ltypes) :
+% eg 1 is SD pdf histograms; 2 is Rx PSD; 3 is bit LLR histograms
+%
+% Adjust Evec and Nbits as required before running.
+
+#{
+ Example 1 2FSK:
+ octave:4> fsk_cml_sam
+ octave:5> fsk_llr_plot
+
+ Example 2 4FSK:
+ octave:4> M=4; fsk_cml_sam
+ octave:4> fsk_llr_plot
+#}
+
+ldpc;
+
+% define Rician pdf
+% note that Valenti uses an approximation that avoids Bessel evaluation
+function y = rice(x,v,s)
+ s2 = s*s;
+ y = (x / s2) .* exp(-0.5 * (x.^2 + v.^2)/s2) .* besseli(0, x*v/s2);
+endfunction
+
+function plot_pdf(v,s)
+ x=(0:0.1:2*v);
+ y= rice(x, v, s);
+ figure(201); hold on
+ plot(x,y,'g');
+ %title('Rician pdf: signal carrier')
+ y= rice(x, 0, s);
+ plot(x,y,'b');
+ title('Rician pdf: signal and noise-only carriers')
+ pause(0.01);
+endfunction
+
+% single Eb/No point simulation ---------------
+function [raw_ber rx_filt rx_bits tx_symbols demapper sig_est SNRest v_est] = ...
+ run_single(tx_bits, M, EcNodB, plt)
+ % Ec/N0 is per channel bit
+ bps = log2(M); % bits per symbol
+ Ts = 16; % length of each symbol in samples
+
+ if length(tx_bits)==1
+ Nbits = tx_bits;
+ tx_bits = randi(2,1,Nbits)-1; % make random bits
+ end
+
+ Nbits = length(tx_bits);
+ Nsymbols = Nbits/log2(M);
+ tx_symbols = zeros(1,Nsymbols);
+
+ mapper = bps:-1:1;
+ % look up table demapper from symbols to bits (hard decision)
+ demapper=zeros(M,bps);
+ for m=1:M
+ for b=1:bps
+ if bitand(m-1,b) demapper(m,bps-b+1) = 1; end
+ end
+ end
+
+ % continuous phase mFSK modulator
+
+ w(1:M) = 2*pi*(1:M)/Ts;
+ tx_phase = 0;
+ tx = zeros(1,Ts*Nsymbols);
+
+ for s=1:Nsymbols
+ bits_for_this_symbol = tx_bits(bps*(s-1)+1:bps*s);
+ symbol_index = bits_for_this_symbol * mapper' + 1;
+ tx_symbols(s) = symbol_index;
+ assert(demapper(symbol_index,:) == bits_for_this_symbol);
+ for k=1:Ts
+ tx_phase = tx_phase + w(symbol_index);
+ tx((s-1)*Ts+k) = exp(j*tx_phase);
+ end
+ end
+
+ % AWGN channel noise
+
+ EsNodB = EcNodB + 10*log10(bps);
+ EsNo = 10^(EsNodB/10);
+ variance = Ts/EsNo;
+ noise = sqrt(variance/2)*(randn(1,Nsymbols*Ts) + j*randn(1,Nsymbols*Ts));
+ rx = tx + noise;
+
+ if plt==2, % check the Spectrum
+ [psd,Fpsd] =pwelch(rx,128,0.5,128,Ts);
+ figure(110); plot(Fpsd,10*log10(psd));
+ title('Rx Signal: PSD ');
+ xlabel('Freq/Rs');
+ %figure(111);plot(unwrap(arg(tx)));
+ pause(0.01);
+ end
+
+
+ % integrate and dump demodulator
+
+ rx_bits = zeros(1,Nbits);
+ rx_filt = zeros(Nsymbols,M);
+ rx_pows = zeros(1,M);
+ rx_nse_pow = 0.0; rx_sig_pow =0.0;
+ for s=1:Nsymbols
+ arx_symb = rx((s-1)*Ts + (1:Ts));
+ for m=1:M
+ r= sum(exp(-j*w(m)*(1:Ts)) .* arx_symb);
+ rx_pows(m)= r * conj(r);
+ rx_filt(s,m) = abs(r);
+ end
+ [tmp symbol_index] = max(rx_filt(s,:));
+ rx_sig_pow = rx_sig_pow + rx_pows(symbol_index);
+ rx_pows(symbol_index)=[];
+ rx_nse_pow = rx_nse_pow + sum(rx_pows)/(M-1);
+ rx_bits(bps*(s-1)+1:bps*s) = demapper(symbol_index,:);
+ end
+
+ % using Rxpower = v^2 + sigmal^2
+ rx_sig_pow = rx_sig_pow/Nsymbols;
+ rx_nse_pow = rx_nse_pow/Nsymbols;
+ v_est = sqrt(rx_sig_pow-rx_nse_pow);
+ SNRest = rx_sig_pow/rx_nse_pow;
+ sig_est = sqrt(rx_nse_pow/2); % for Rayleigh: 2nd raw moment = 2 .sigma^2
+ Kest = rx_sig_pow/(2.0*sig_est^2) -1.0;
+
+ Nerrors = sum(xor(tx_bits, rx_bits));
+ raw_ber = Nerrors/Nbits;
+ printf('Ec (dB): %4.1f M: %2d Total bits: %5d HD Errs: %6d (Raw) BER: %1.3f\n', ...
+ EcNodB, M, Nbits, Nerrors, raw_ber);
+ if plt==1, plot_hist(rx_filt,tx_symbols, M); end
+
+endfunction
+
+% simulate one codeword of 2 or 4 FSK --------------------------
+function [Nerrors raw_ber EcNodB] = run_single_ldpc(M, Ltype, Nbits,EbNodB, plt, HRA)
+
+ disp([num2str(M) 'FSK coded test ... '])
+ if M==2
+ bps = 1; modulation = 'FSK'; mod_order=2; mapping = 'gray';
+ elseif M==4
+ bps = 2; modulation = 'FSK'; mod_order=4; mapping = 'gray';
+ else
+ error('sorry - bad value of M!');
+ end
+ decoder_type = 0; max_iterations = 100;
+
+ Hsize=size(HRA);
+ Krate = (Hsize(2)-Hsize(1))/Hsize(2); %
+ EcNodB = EbNodB + 10*log10(Krate);
+ code_param = ldpc_init_user(HRA, modulation, mod_order, mapping);
+ Nframes = floor(Nbits/code_param.data_bits_per_frame);
+ Nbits = Nframes*code_param.data_bits_per_frame;
+
+ % Encoder
+ data_bits = round(rand(1,code_param.data_bits_per_frame));
+ tx_bits = [];
+ for f=1:Nframes;
+ codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
+ tx_bits = [tx_bits codeword_bits];
+ end
+
+ % modem/channel simulation
+ [raw_ber rx_filt rx_bits tx_symbols demapper sig_est SNRlin v_est] = ...
+ run_single(tx_bits,M,EcNodB, plt );
+
+ % Decoder
+ Nerrors = 0;
+ for f=1:Nframes
+ st = (f-1)*code_param.coded_bits_per_frame/bps + 1;
+ en = st + code_param.coded_bits_per_frame/bps - 1;
+ if or(Ltype==1, Ltype==3)
+ if bps==1,
+ sd = rx_filt(st:en,1) - rx_filt(st:en,2);
+ % OR ind = rx_filt(st:en,1) > rx_filt(st:en,2);
+ % llr = ind'*2 -1; % this works but use SNR scaling
+ if Ltype==3, HD=1; else, HD = 0; end
+ llr = sd_to_llr(sd, HD)'; % David's orig 2FSK routine
+ end
+ if bps==2,
+ if Ltype==3,
+ llr = mfsk_hd_to_llrs(rx_filt(st:en,:), demapper);
+ else
+ error('Ltype =1 not provided for coded 4FSK');
+ end
+ end
+ end
+ if Ltype==2, % SDs are converted to LLRs
+ % use the SD amp estimates, try Bill's new LLR routine
+ if plt==1, plot_pdf(v_est, sig_est); end
+ llr = mfsk_sd_to_llrs(rx_filt(st:en,:), demapper, v_est, sig_est);
+ end
+ if Ltype==4,
+ % use CML demod: non-coherent; still seems to need amplitude estimate
+ symL = DemodFSK(1/v_est*rx_filt(st:en,:)', SNRlin, 1);
+ llr = -Somap(symL); % now convert to bit LLRs
+ end
+ if plt==3, figure(204); hist(llr);
+ title('Histogram LLR for decoder inputs'); pause(0.01); end
+
+ [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, ...
+ max_iterations, decoder_type, 1, 1);
+ Niters = sum(PCcnt~=0);
+ detected_data = x_hat(Niters,:);
+ Nerrors = Nerrors + sum(xor(data_bits, detected_data(1:code_param.data_bits_per_frame)));
+ end
+
+ ber = Nerrors/Nbits;
+ printf('Eb (dB): %4.1f Data Bits: %4d Num CWs: %5d Tot Errs: %5d (Cod) BER: %1.3f\n', ...
+ EbNodB,Nbits , Nframes, Nerrors, ber);
+endfunction
+
+function plot_hist(rx_filt,tx_symbols, M)
+ % more general version of previous fn; - plots histograms for any Tx patterns
+ Smax = 36;
+ X = 0:Smax-1;
+ H = zeros(1,Smax); H2 = zeros(1,Smax); s2=0.0;
+ for m = 1:M
+ ind = tx_symbols==m;
+ ind2 = tx_symbols~=m;
+ H= H+ hist(rx_filt(ind,m),X);
+ H2= H2+ hist(rx_filt(ind2,m),X);
+ x=rx_filt(ind2,m);
+ s2 =s2 + sum(x(:).^2)/length(x);
+ end
+ disp('noise RMS is '); sqrt(s2/4)
+ figure(207); clf, plot(X,H);
+ title([num2str(M) 'FSK pdf for rx=tx symbol'])
+ hold on, plot(X,H2,'g');
+ title([num2str(M) 'FSK pdf for rx!=tx symbol'])
+ pause(0.1);
+endfunction
+
+
+% 2FSK SD -> LLR mapping that we used for Wenet SSTV system
+function llr = sd_to_llr(sd, HD=0) % original 2FSK + HD option
+ sd = sd / mean(abs(sd));
+ x = sd - sign(sd);
+ sumsq = sum(x.^2);
+ summ = sum(x);
+ mn = summ/length(sd);
+ estvar = sumsq/length(sd) - mn*mn;
+ estEsN0 = 1/(2* estvar + 1E-3);
+ if HD==0,
+ llr = 4 * estEsN0 * sd;
+ else
+ llr = 8 * estEsN0 * sign(sd); %%%% *4 >> *8
+ endif
+endfunction
+
+
+
+function llrs = mfsk_sd_to_llrs(SD, map, v, sig)
+ % Array of MFSK SD is converted to bit LLR vector according to mapping 'map'
+ % SD is M elements wide; map is M by log2(M); v and sig are params of Rician pdf
+ % Bill (VK5DSP) for Codec2, version 24/6/20
+
+ Llim = 1e-7;
+ XX =1.0; % check LLR scaling?
+ Smap = size(map);
+ Ssd = size(SD);
+ if Smap(1) == 2
+ llrs = zeros(1, Ssd(1));
+ bps = 1;
+ assert(2^bps == Ssd(2), 'wrong SD length?')
+ % note that when v=0, the pdf reverts to Rayleigh
+ for kk = 1: Ssd(1)
+ Prx_1 = rice(SD(kk,2), v, sig) * rice(SD(kk,1),0,sig);
+ Prx_0 = rice(SD(kk,2), 0, sig) * rice(SD(kk,1),v,sig);
+
+ if or(isnan(Prx_1), Prx_1> LLRs in 4FSK')
+ else
+ [Nerr raw_ber Ec] = run_single_ldpc(M, Ltype, Nbits, Eb, plt, HRA);
+ nrun = nrun+1; res(nrun,:) = [Eb Ec M Ltype Nbits Nerr raw_ber];
+ endif
+ end
+end
+disp('results stored in array "res" - plot with fsk_cml_plot')
+disp(' Eb Ec M Ltype #Bits #Errs Raw-BER')
+for n = 1: nrun
+ printf(' %5.1f %5.1f %3d %3d %6d %6d %5.4f \n', res(n,:))
+end
+
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_demod_BER_test.py b/libcodec2-android/src/codec2/octave/fsk_demod_BER_test.py
new file mode 100644
index 0000000..f770e4f
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_demod_BER_test.py
@@ -0,0 +1,610 @@
+#!/usr/bin/env python
+#
+# Perform automated Eb/N0 testing of the C-implementation of fsk_mod / fsk_demod
+#
+# Based on the analysis performed here: https://github.com/projecthorus/radiosonde_auto_rx/blob/master/auto_rx/test/notes/2019-03-03_generate_lowsnr_validation.md
+#
+# Copyright (C) 2020 Mark Jessop
+# Released under GNU GPL v3 or later
+#
+# Requirements:
+# - csdr must be installed and available on the path. https://github.com/ha7ilm/csdr
+# - The following utilities from codec2 need to be built:
+# - fsk_get_test_bits, fsk_put_test_bits
+# - fsk_mod, fsk_demod
+# - Create the directories: 'samples' and 'generated' in this directory (octave)
+#
+import json
+import logging
+import os
+import time
+import traceback
+import subprocess
+import sys
+import argparse
+
+import numpy as np
+import matplotlib.pyplot as plt
+import scipy.signal
+import scipy.interpolate
+
+
+# Variables you will want to adjust:
+
+# Eb/N0 Range to test:
+# Default: 0 through 5 dB in 0.5 db steps, then up to 20 db in 1db steps.
+EBNO_RANGE = np.append(np.arange(0, 5, 0.5), np.arange(5, 20.5, 1))
+
+# Baud rates to test:
+BAUD_RATES = [100, 50, 25]
+
+# Order of the FSK signal (2 or 4)
+FSK_ORDER = 4
+
+# Test Length (bits)
+TEST_LENGTH = 2e4
+
+# Pseudorandom sequence length to generate test frames.
+# NOTE: BER results are quite dependent on the frame length and threshold parameters.
+FRAME_LENGTH = 2000
+
+# Frame threshold detection. This has the effect of setting an upper bound on the BER.
+FRAME_THRESHOLD = 0.4
+
+# Allow a reduction in 'expected' bits of this value, as we expect the modem to need
+# some time to 'spin up' the estimators.
+FRAME_IGNORE = FRAME_LENGTH
+
+# IF sample rate
+SAMPLE_RATE = 48000
+
+# Frequency estimator limits
+ESTIMATOR_LOWER_LIMIT = 100
+ESTIMATOR_UPPER_LIMIT = int(SAMPLE_RATE/2 - 1000)
+
+# Frequency of the low tone (Hz)
+LOW_TONE = 2000
+
+# Tone spacing (Hz)
+TONE_SPACING = 270
+
+# Mask Estimator
+MASK_ESTIMATOR = True
+
+# Switch to 'Low Bit-Rate' mode below this baud rate.
+#LBR_BREAK_POINT = 600 # No more LBR mode
+
+# Halt simulation for a particular baud rate when the BER drops below this level.
+BER_BREAK_POINT = 1e-4
+
+# If enabled, calculate Frequency Estimator error
+FEST_ERROR = True
+
+# Frequency estimator error calculation threshold (*Rs)
+FEST_THRESHOLD = 0.2
+
+# Enable doppler shift.
+# NOTE: This will apply up to +/- 6kHz of doppler shift to the test signal,
+# emulating transmission through a LEO linear transponder.
+# You will need to set the modem centre frequency and parameters such that
+# the modem signal will be contained within a 1-22 kHz modem RX passband.
+# For 100 baud Horus Binary testing, I use:
+# LOW_TONE = 10000
+# TONE_SPACING = 250
+# The TEST_LENGTH setting must also be long enough so that the test modem file
+# is at least 780 seconds long. For 100 baud 4FSK, a TEST_LENGTH of 2e6 is enough.
+DOPPLER_ENABLED = False
+DOPPLER_FILE = "doppler.npz" # generate using sat_doppler.py
+
+
+STATS_OUTPUT = True
+
+# Where to place the initial test samples.
+SAMPLE_DIR = "./samples"
+
+# Where to place the generated low-SNR samples.
+GENERATED_DIR = "./generated"
+
+# Location of the codec2 utils
+CODEC2_UTILS = "../build/src"
+
+
+THEORY_EBNO = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
+THEORY_BER_4 = [
+ 0.22934,
+ 0.18475,
+ 0.13987,
+ 0.09772,
+ 0.06156,
+ 0.03395,
+ 0.01579,
+ 0.00591,
+ 0.00168,
+ 3.39e-4,
+ 4.44e-5,
+ # 3.38e-6,
+ # 1.30e-7,
+ # 2.16e-9,
+ # 1.23e-11,
+ # 1.85e-14,
+ # 5.13e-18,
+ # 1.71e-22
+]
+THEORY_BER_2 = [
+ 0.30327,
+ 0.26644,
+ 0.22637,
+ 0.18438,
+ 0.14240,
+ 0.10287,
+ 0.06831,
+ 0.04080,
+ 0.02132,
+ 0.00942,
+ 0.00337,
+]
+
+#
+# Functions to read files and add noise.
+#
+
+
+def load_sample(filename, loadreal=True):
+ # If loading real samples (which is what fsk_mod outputs), apply a hilbert transform to get an analytic signal.
+ if loadreal:
+ return scipy.signal.hilbert(np.fromfile(filename, dtype="f4"))
+ else:
+ return np.fromfile(filename, dtype="c8")
+
+
+def save_sample(data, filename):
+ # We have to make sure to convert to complex64..
+ data.astype(dtype="c8").tofile(filename)
+
+ # TODO: Allow saving as complex s16 - see view solution here: https://stackoverflow.com/questions/47086134/how-to-convert-a-numpy-complex-array-to-a-two-element-float-array
+
+
+def apply_doppler(data, dopplerfile, fs=48000):
+ """ Apply a doppler curve to an input data stream """
+
+ npzfile = np.load(dopplerfile)
+
+ _time = npzfile["arr_0"]
+ _doppler = npzfile["arr_1"]
+
+ if len(data) < _time[-1] * fs:
+ print("Input data length too short - use more bits!")
+
+ # Clip data length if its too long for the input doppler data
+ if len(data) > _time[-1] * fs:
+ data = data[: int(_time[-1] * fs)]
+
+ # Interpolate the doppler data
+ _interp = scipy.interpolate.interp1d(_time, _doppler, kind="cubic")
+
+ _timesteps = np.arange(0, len(data)) / fs
+ _interp_doppler = _interp(_timesteps)
+
+ # This isn't working properly.
+ phase = np.cumsum(_interp_doppler / fs)
+ mixed = data * np.exp(1.0j * 2.0 * np.pi * phase)
+
+ return mixed
+
+
+def calculate_variance(data, threshold=-100.0):
+ # Calculate the variance of a set of radiosonde samples.
+ # Optionally use a threshold to limit the sample the variance
+ # is calculated over to ones that actually have sonde packets in them.
+
+ _data_log = 20 * np.log10(np.abs(data))
+
+ # MSE is better than variance as a power estimate, as it counts DC
+ data_thresh = data[_data_log > threshold]
+ return np.mean(data_thresh * np.conj(data_thresh))
+
+
+def add_noise(
+ data,
+ variance,
+ baud_rate,
+ ebno,
+ fs=96000,
+ bitspersymbol=1.0,
+ normalise=True,
+ real=False,
+):
+ # Add calibrated noise to a sample.
+
+ # Calculate Eb/No in linear units.
+ _ebno = 10.0 ** ((ebno) / 10.0)
+
+ # Calculate the noise variance we need to add
+ _noise_variance = variance * fs / (baud_rate * _ebno * bitspersymbol)
+
+ # If we are working with real samples, we need to halve the noise contribution.
+ if real:
+ _noise_variance = _noise_variance * 0.5
+
+ # Generate complex random samples
+ _rand_i = np.sqrt(_noise_variance / 2.0) * np.random.randn(len(data))
+ _rand_q = np.sqrt(_noise_variance / 2.0) * np.random.randn(len(data))
+
+ _noisy = data + (_rand_i + 1j * _rand_q)
+
+ if normalise:
+ # print("Normalised to 1.0")
+ return _noisy / np.max(np.abs(_noisy))
+ else:
+ return _noisy
+
+
+def generate_lowsnr(sample, outfile, fs, baud, ebno, order):
+ """ Generate a low SNR test file """
+
+ if order == 2:
+ _bits_per_symbol = 1
+ else:
+ _bits_per_symbol = 2
+
+ _var = calculate_variance(sample)
+
+ _noisy = add_noise(sample, _var, baud, ebno, fs, _bits_per_symbol)
+
+ save_sample(_noisy, outfile)
+
+ return outfile
+
+
+#
+# Functions to deal with codec2 utils
+#
+
+
+def generate_fsk(baud):
+ """ Generate a set of FSK data """
+
+ # Calculate the number of bits we need to generate to get out desired test length.
+ if FSK_ORDER == 2:
+ _num_bits = TEST_LENGTH * baud
+ else:
+ _num_bits = TEST_LENGTH * baud * 2
+
+ _num_bits = TEST_LENGTH
+
+ _filename = "%s/fsk_%d_%d_%d_f.bin" % (SAMPLE_DIR, FSK_ORDER, SAMPLE_RATE, baud)
+
+ # Generate the command we need to make:
+ _cmd = (
+ "%s/fsk_get_test_bits - %d %d | %s/fsk_mod %d %d %d %d %d - - | csdr convert_s16_f > %s"
+ % (
+ CODEC2_UTILS,
+ _num_bits,
+ FRAME_LENGTH,
+ CODEC2_UTILS,
+ FSK_ORDER,
+ SAMPLE_RATE,
+ baud,
+ LOW_TONE,
+ TONE_SPACING,
+ _filename,
+ )
+ )
+
+ print(_cmd)
+
+ print("Generating test signal: %d-FSK, %d baud" % (FSK_ORDER, baud))
+
+ # Run the command.
+ try:
+ _start = time.time()
+ _output = subprocess.check_output(_cmd, shell=True, stderr=None)
+ _output = _output.decode()
+ except:
+ # traceback.print_exc()
+ _output = "error"
+
+ _runtime = time.time() - _start
+
+ print("Finished generating test signal.")
+
+ return _filename
+
+
+def process_fsk(
+ filename, baud, complex_samples=True, override_bits=None, stats=False, statsfile=""
+):
+ """ Run a fsk file through fsk_demod """
+
+ _estim_limits = "-b %d -u %d " % (ESTIMATOR_LOWER_LIMIT, ESTIMATOR_UPPER_LIMIT)
+
+ if MASK_ESTIMATOR:
+ _mask = "--mask %d " % TONE_SPACING
+ else:
+ _mask = ""
+
+ if complex_samples:
+ _cpx = "--cs16 "
+ else:
+ _cpx = ""
+
+ if stats:
+ _stats_file = GENERATED_DIR + "/" + statsfile + ".stats"
+ _stats = "--stats=50 "
+ else:
+ _stats = ""
+ _stats_file = None
+
+ _cmd = "cat %s | csdr convert_f_s16 | %s/fsk_demod %s%s%s%s%d %d %d - - " % (
+ filename,
+ CODEC2_UTILS,
+ _mask,
+ _estim_limits,
+ _cpx,
+ _stats,
+ FSK_ORDER,
+ SAMPLE_RATE,
+ baud,
+ )
+
+ if stats:
+ _cmd += "2> %s" % _stats_file
+
+ _cmd += "| %s/fsk_put_test_bits -f %d -t %.2f - 2>&1" % (
+ CODEC2_UTILS,
+ FRAME_LENGTH,
+ FRAME_THRESHOLD,
+ )
+
+ # print("Processing %s" % filename)
+
+ print(_cmd)
+
+ # Run the command.
+ try:
+ _start = time.time()
+ _output = subprocess.check_output(_cmd, shell=True)
+ _output = _output.decode()
+ except subprocess.CalledProcessError as e:
+ _output = e.output.decode()
+ except:
+ traceback.print_exc()
+ _output = "error"
+ print("Run failed!")
+ return (-1, _stats_file)
+
+ _runtime = time.time() - _start
+
+ # Try to grab last line of the stderr outout
+ try:
+ _last_line = _output.split("\n")[-3]
+ except:
+ # Lack of a line indicates that we have decoded no data. return a BER of 1.
+ print("No bits decoded.")
+ return (1.0, _stats_file)
+
+ # Detect no decoded bits when feeding in custom put_bits parameters.
+ if "Using" in _last_line:
+ print("No bits decoded.")
+ return (1.0, _stats_file)
+
+ # Example line:
+ # [0009] BER 0.000, bits tested 18000, bit errors 0 errs: 0
+ # [0009] BER 0.000, bits tested 18000, bit errors 0
+ # PASS
+ #
+
+ # split into fields
+ _fields = _last_line.split()
+
+ # Extract number of bits and errors
+ _bits = float(_fields[5][:-1]) # remove the trailing comma
+ _errors = float(_fields[8])
+
+ print("Bits: %d, Errors: %d, Raw BER: %.8f" % (_bits, _errors, _errors / _bits))
+
+ if override_bits != None:
+ if _bits < override_bits:
+ print("Demod got %d bits, but we sent %d bits." % (_bits, override_bits))
+ _errors += override_bits - _bits
+
+ # Calculate and return BER
+ _ber = _errors / _bits
+
+ if _ber > 1.0:
+ _ber = 1.0
+
+ return (_ber, _stats_file)
+
+
+def read_stats(filename, sps = 50):
+ """ Read in a statistics file, and re-organise it for easier calculations """
+
+ _output = {
+ 'ebno': [],
+ 'f1_est': [],
+ 'f2_est': [],
+ 'f3_est': [],
+ 'f4_est': [],
+ 'ppm': [],
+ 'time': []
+ }
+
+ with open(filename, 'r') as _f:
+ for _line in _f:
+ if _line[0] != '{':
+ continue
+
+ try:
+ _data = json.loads(_line)
+ except Exception as e:
+ #print("Line parsing error: %s" % str(e))
+ continue
+
+ _output['ebno'].append(_data['EbNodB'])
+ _output['f1_est'].append(_data['f1_est'])
+ _output['f2_est'].append(_data['f2_est'])
+
+ if 'f3_est' in _data:
+ _output['f3_est'].append(_data['f3_est'])
+ _output['f4_est'].append(_data['f4_est'])
+
+ _output['ppm'].append(_data['ppm'])
+
+ if _output['time'] == []:
+ _output['time'] = [0]
+ else:
+ _output['time'].append(_output['time'][-1]+1.0/sps)
+
+ return _output
+
+
+def freq_est_error(data, Rs):
+ """ Calculate the frequency estimator error """
+
+ _threshold = FEST_THRESHOLD*Rs
+
+ _total_points = len(data['f1_est'])*FSK_ORDER
+
+ _errors = 0
+
+ _errors += np.sum(np.abs(np.array(data['f1_est'])-LOW_TONE) > _threshold)
+ _errors += np.sum(np.abs(np.array(data['f2_est'])-LOW_TONE-TONE_SPACING) > _threshold)
+
+ if FSK_ORDER == 4:
+ _errors += np.sum(np.abs(np.array(data['f3_est'])-LOW_TONE-TONE_SPACING*2) > _threshold)
+ _errors += np.sum(np.abs(np.array(data['f4_est'])-LOW_TONE-TONE_SPACING*3) > _threshold)
+
+
+ return _errors/_total_points
+
+
+if __name__ == "__main__":
+
+ parser = argparse.ArgumentParser(description="FSK modem BER simulations")
+ parser.add_argument("--test", action="store_true", help="run automated test")
+ args = parser.parse_args()
+
+ if args.test:
+ # test the AWGN channel simulation. We use BPSK that's phase shifted to exercise the
+ # complex maths a bit
+
+ nb_bits = 100000
+ EbNo = 4
+ tx_bits = np.random.randint(2, size=nb_bits)
+ tx_bpsk_symbols = (2 * tx_bits - 1) * np.exp(1j * np.pi / 3)
+ tx_power = calculate_variance(tx_bpsk_symbols)
+
+ # check calculate_variance()
+ assert tx_power < 1.1 and tx_power > 0.9
+
+ # BPSK modem simulation
+ rx_bpsk_symbols = add_noise(tx_bpsk_symbols, tx_power, 1, EbNo, 1, 1)
+ rx_bpsk_symbols = rx_bpsk_symbols * np.exp(-1j * np.pi / 3)
+ rx_bits = np.array([1 if np.real(s) > 0 else 0 for s in rx_bpsk_symbols])
+ nb_errors = np.sum(np.bitwise_xor(tx_bits, rx_bits))
+ ber = nb_errors / nb_bits
+
+ # set limit of +/- 0.25dB on BER
+ EbNo_lin_upper = 10 ** ((EbNo - 0.25) / 10)
+ bpsk_ber_theory_upper = 0.5 * scipy.special.erfc(np.sqrt(EbNo_lin_upper))
+ EbNo_lin_lower = 10 ** ((EbNo + 0.25) / 10)
+ bpsk_ber_theory_lower = 0.5 * scipy.special.erfc(np.sqrt(EbNo_lin_lower))
+ print(
+ "nb_errors: %d ber: %4.3f ber_lower_limit: %4.3f ber_upper_limit: %4.3f"
+ % (nb_errors, ber, bpsk_ber_theory_lower, bpsk_ber_theory_upper)
+ )
+ assert ber < bpsk_ber_theory_upper and ber > bpsk_ber_theory_lower
+ print("AWGN channel simulation test PASSED!")
+ exit()
+
+ plot_data = {}
+
+ for _baud in BAUD_RATES:
+
+ _file = generate_fsk(_baud)
+
+ print("Loading file and converting to complex.")
+ _sample = load_sample(_file)
+
+ if DOPPLER_ENABLED:
+ print("Applying Doppler.")
+ _sample = apply_doppler(_sample, DOPPLER_FILE)
+ print("Done.")
+ _override_bits = _baud * (len(_sample) / SAMPLE_RATE) - FRAME_IGNORE
+ else:
+ _override_bits = TEST_LENGTH - FRAME_IGNORE
+
+ _temp_file = "%s/temp.bin" % GENERATED_DIR
+
+ _ebnos = []
+ _bers = []
+ _fest_err = []
+
+ for _ebno in EBNO_RANGE:
+ generate_lowsnr(_sample, _temp_file, SAMPLE_RATE, _baud, _ebno, FSK_ORDER)
+
+ _ber, _stats_file = process_fsk(
+ _temp_file,
+ _baud,
+ override_bits=_override_bits,
+ stats=STATS_OUTPUT,
+ statsfile="fsk_%d_%.1f" % (_baud, _ebno),
+ )
+
+ print("%.1f, %.8f" % (_ebno, _ber))
+
+ _ebnos.append(_ebno)
+ _bers.append(_ber)
+
+ if FEST_ERROR:
+ _stats = read_stats(_stats_file)
+ _fest_err.append(freq_est_error(_stats, _baud))
+
+ # Halt the simulation if the BER drops below our break point.
+ if _ber < BER_BREAK_POINT:
+ break
+
+ plot_data[_baud] = {"baud": _baud, "ebno": _ebnos, "ber": _bers, "fest_err":_fest_err}
+ print(plot_data[_baud])
+
+ # plt.semilogy(plot_data[_baud]['ebno'], plot_data[_baud]['ber'], label="Simulated - %d bd" % _baud)
+
+ plt.figure()
+
+ print(plot_data)
+
+ for _b in plot_data:
+ plt.semilogy(
+ plot_data[_b]["ebno"], plot_data[_b]["ber"], label="Simulated - %d bd" % _b
+ )
+
+ if FSK_ORDER == 2:
+ plt.semilogy(THEORY_EBNO, THEORY_BER_2, label="Theory")
+ else:
+ plt.semilogy(THEORY_EBNO, THEORY_BER_4, label="Theory")
+
+ plt.xlabel("Eb/N0 (dB)")
+ plt.ylabel("BER")
+
+ # Crop plot to reasonable limits
+ plt.ylim(1e-3, 1)
+ plt.xlim(0, 10)
+
+ plt.title("fsk_demod %d-FSK BER performance" % FSK_ORDER)
+ plt.grid()
+ plt.legend()
+
+ if FEST_ERROR:
+ plt.figure()
+
+ for _b in plot_data:
+ plt.plot(
+ plot_data[_b]["ebno"], plot_data[_b]["fest_err"], label="Simulated - %d bd" % _b
+ )
+
+ plt.title("Frequency Estimator Error")
+ plt.grid()
+ plt.legend()
+
+ plt.show()
diff --git a/libcodec2-android/src/codec2/octave/fsk_demod_file.m b/libcodec2-android/src/codec2/octave/fsk_demod_file.m
new file mode 100644
index 0000000..de2fbc7
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_demod_file.m
@@ -0,0 +1,139 @@
+% fsk_demod_file.m
+% David Rowe May 2020
+%
+% Demodulate a file of off air samples and plot a bunch of internal
+% states. Useful for debugging the FSK demod configuration
+
+#{
+ Sample usage to explore demodulator operation with a 100 bits/s 2FSK signal:
+
+ $ cd ~/codec2/build_linux/src
+ $ ./fsk_get_test_bits - 1000 | ./fsk_mod 2 8000 100 1000 1000 - ../../octave/fsk.s16
+ $ octave --no-gui
+ octave:1> fsk_demod_file("fsk.s16",format="s16",8000,100,2)
+
+ Same thing but complex (single sided):
+
+ $ ./fsk_get_test_bits - 1000 | ./fsk_mod 2 8000 100 1000 1000 - - | ./cohpsk_ch - fsk.cs16 -100 --Fs 8000 --complexout
+ octave:2> fsk_demod_file("fsk.cs16",format="cs16",8000,100,2)
+#}
+
+function fsk_demod_file(filename, format="s16", Fs=8000, Rs=50, M=2, P=8, avoid_dc = 1, max_secs=1E32)
+ more off;
+ fsk_lib;
+ plot_en = 1;
+
+ states = fsk_init(Fs, Rs, M, P);
+
+ if strcmp(format,"s16")
+ read_complex = 0; sample_size = 'int16'; shift_fs_on_4=0;
+ elseif strcmp(format,"cs16") || strcmp(format,"iq16")
+ read_complex = 1; sample_size = 'int16'; shift_fs_on_4=0;
+ if avoid_dc states.fest_fmin = states.Rs*0.5; else states.fest_fmin = -Fs/2; end;
+ states.fest_fmax = Fs/2;
+ elseif strcmp(format,"iqfloat")
+ read_complex = 1; sample_size = 'float32'; shift_fs_on_4=0;
+ if avoid_dc states.fest_fmin = states.Rs*0.5; else states.fest_fmin = -Fs/2; end;
+ states.fest_fmax = Fs/2;
+ else
+ printf("Error in format: %s\n", format);
+ return;
+ end
+
+ fin = fopen(filename,"rb");
+ if fin == -1 printf("Error opening file: %s\n",filename); return; end
+
+ nbit = states.nbit;
+
+ frames = 0;
+ rx = []; rx_bits_log = []; norm_rx_timing_log = [];
+ f_int_resample_log = []; EbNodB_log = []; ppm_log = [];
+ f_log = []; Sf_log = [];
+
+ % Extract raw bits from samples ------------------------------------------------------
+
+ printf("demod of raw bits....\n");
+
+ finished = 0; ph = 1; secs = 0;
+ while (finished == 0)
+
+ % read nin samples from input file
+
+ nin = states.nin;
+ if read_complex
+ [sf count] = fread(fin, 2*nin, sample_size);
+ if strcmp(sample_size, "uint8") sf = (sf - 127)/128; end
+ sf = sf(1:2:end) + j*sf(2:2:end);
+ count /= 2;
+ if shift_fs_on_4
+ % optional shift up in freq by Fs/4 to get into freq est range
+ for i=1:count
+ ph = ph*exp(j*pi/4);
+ sf(i) *= ph;
+ end
+ end
+ else
+ [sf count] = fread(fin, nin, sample_size);
+ end
+ rx = [rx; sf];
+
+ if count == nin
+ frames++;
+
+ % demodulate to stream of bits
+
+ states = est_freq(states, sf, states.M);
+ if states.freq_est_type == 'mask' states.f = states.f2; end
+ [rx_bits states] = fsk_demod(states, sf);
+
+ rx_bits_log = [rx_bits_log rx_bits];
+ norm_rx_timing_log = [norm_rx_timing_log states.norm_rx_timing];
+ f_int_resample_log = [f_int_resample_log abs(states.f_int_resample)];
+ EbNodB_log = [EbNodB_log states.EbNodB];
+ ppm_log = [ppm_log states.ppm];
+ f_log = [f_log; states.f];
+ Sf_log = [Sf_log; states.Sf'];
+ else
+ finished = 1;
+ end
+
+ secs += nin/Fs;
+ if secs > max_secs finished=1; end
+
+ end
+ printf("frames: %d\n", frames);
+ fclose(fin);
+
+ if plot_en
+ printf("plotting...\n");
+
+ figure(1); clf;
+ rx_nowave = rx(1000:length(rx)); % skip past wav header if it's a wave file
+ subplot(211)
+ plot(real(rx_nowave));
+ title('input signal to demod (1 sec)')
+ xlabel('Time (samples)');
+ subplot(212);
+ last = min(length(rx_nowave),Fs);
+ Nfft = 2^(ceil(log2(last)));
+ Rx = fft(rx_nowave(1:last).*hanning(last),Nfft);
+ RxdB = 20*log10(abs(fftshift(Rx)));
+ mx = 10*ceil(max(RxdB/10));
+ f = -Nfft/2:Nfft/2-1;
+ plot(f*Fs/Nfft, RxdB);
+ axis([-Fs/2 Fs/2 mx-80 mx])
+ xlabel('Frequency (Hz)');
+ if length(rx) > Fs
+ figure(2); Ndft=2^ceil(log2(Fs/10)); specgram(rx,Ndft,Fs);
+ end
+ figure(3); clf; plot(f_log,'+-'); axis([1 length(f_log) -Fs/2 Fs/2]); title('Tone Freq Estimates');
+ figure(4); clf; mesh(Sf_log(1:end,:)); title('Freq Est Sf over time');
+ figure(5); clf; plot(f_int_resample_log','+'); title('Integrator outputs for each tone');
+ figure(6); clf; plot(norm_rx_timing_log); axis([1 frames -0.5 0.5]); title('norm fine timing')
+ figure(7); clf; plot(EbNodB_log); title('Eb/No estimate')
+ figure(8); clf; plot(ppm_log); title('Sample clock (baud rate) offset in PPM');
+
+ end
+
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_horus.m b/libcodec2-android/src/codec2/octave/fsk_horus.m
new file mode 100644
index 0000000..a9dcb43
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_horus.m
@@ -0,0 +1,876 @@
+% fsk_horus.m
+% David Rowe 10 Oct 2015
+%
+% Project Horus High Altitude Balloon (HAB) FSK demodulator
+% See blog write up "All your modems are belong to us"
+% http://www.rowetel.com/?p=4629
+
+
+fsk_lib;
+
+
+% Basic modem set up for Horus
+
+function states = fsk_horus_init(Fs,Rs,M=2)
+
+ states = fsk_init(Fs,Rs,M);
+
+ % Freq. estimator limits - keep these narrow to stop errors with low SNR 4FSK
+
+ states.fest_fmin = 300;
+ states.fest_fmax = 2800;
+endfunction
+
+
+% init rtty protocol specific states
+
+function rtty = fsk_horus_init_rtty
+ % Generate unque word that correlates against the ASCII "$$$$$" that
+ % is at the start of each frame.
+ % $ -> 36 decimal -> 0 1 0 0 1 0 0 binary
+
+ dollar_bits = fliplr([0 1 0 0 1 0 0]);
+ mapped_db = 2*dollar_bits - 1;
+ sync_bits = [1 1 0];
+ mapped_sb = 2*sync_bits - 1;
+
+ mapped = [mapped_db mapped_sb];
+ npad = rtty.npad = 3; % one start and two stop bits between 7 bit ascii chars
+ nfield = rtty.nfield = 7; % length of ascii character field
+
+ rtty.uw = [mapped mapped mapped mapped mapped];
+ rtty.uw_thresh = length(rtty.uw) - 2; % allow a few bit errors when looking for UW
+ rtty.max_packet_len = 1000;
+endfunction
+
+
+% I think this is the binary protocol work from Jan 2016
+
+function binary = fsk_horus_init_binary
+ % Generate 16 bit "$$" unique word that is at the front of every horus binary
+ % packet
+
+ dollar_bits = [0 0 1 0 0 1 0 0];
+ mapped_db = 2*dollar_bits - 1;
+
+ binary.uw = [mapped_db mapped_db];
+ binary.uw_thresh = length(binary.uw)-2; % no bit errors when looking for UW
+
+ binary.max_packet_len = 360;
+endfunction
+
+
+% Look for unique word and return index of first UW bit, or -1 if no
+% UW found Sometimes there may be several matches, returns the
+% position of the best match to UW.
+
+function [uw_start best_corr corr] = find_uw(states, start_bit, rx_bits)
+ uw = states.uw;
+
+ mapped_rx_bits = 2*rx_bits - 1;
+ best_corr = 0;
+ uw_start = -1;
+ found_uw = 0;
+
+ % first first UW in buffer that exceeds threshold
+
+ for i=start_bit:length(rx_bits) - length(uw)
+ corr(i) = mapped_rx_bits(i:i+length(uw)-1) * uw';
+ if (found_uw == 0) && (corr(i) >= states.uw_thresh)
+ uw_start = i;
+ best_corr = corr;
+ found_uw = 1;
+ end
+ end
+
+endfunction
+
+
+% Extract ASCII string from a Horus frame of bits
+
+function [str crc_ok] = extract_ascii(states, rx_bits_buf, uw_loc)
+ nfield = states.nfield;
+ npad = states.npad;
+
+ str = ""; str_dec = []; nstr = 0; ptx_crc = 1; rx_crc = "";
+ endpacket = 0;
+
+ st = uw_loc + length(states.uw); % first bit of first char
+ en = uw_loc + states.max_packet_len - nfield;
+ %printf("\nst: %d en: %d len: %d\n", st, en, length(rx_bits_buf));
+
+ for i=st:nfield+npad:en
+ field = rx_bits_buf(i:i+nfield-1);
+ ch_dec = field * (2.^(0:nfield-1))';
+
+ % filter out unlikely characters that bit errors may introduce, and ignore \n
+
+ if (ch_dec > 31) && (ch_dec < 91)
+ str = [str char(ch_dec)];
+ else
+ str = [str char(32)]; % space is "not sure"
+ end
+ nstr++;
+
+ % build up array for CRC16 check
+
+ if !endpacket && (ch_dec == 42)
+ endpacket = 1;
+ rx_crc = crc16(str_dec); % found a '*' so that's the end of the string for CRC calculations
+ ptx_crc = nstr+1; % this is where the transmit CRC starts
+ end
+ if !endpacket
+ str_dec = [str_dec ch_dec];
+ end
+ end
+
+ if (ptx_crc+3) <= length(str)
+ tx_crc = str(ptx_crc:ptx_crc+3);
+ crc_ok = strcmp(tx_crc, rx_crc);
+ else
+ crc_ok = 0;
+ end
+
+ str = str(1:ptx_crc-2);
+
+endfunction
+
+
+% Use soft decision information to find bits most likely in error. I think
+% this is some form of maximum likelihood decoding.
+
+function [str crc_ok rx_bits_log_flipped] = sd_bit_flipping(states, rx_bits_log, rx_bits_sd_log, st, en);
+
+ % force algorithm to ignore rs232 sync bits by marking them as "very likely", they have
+ % no input to crc algorithm
+
+ nfield = states.nfield;
+ npad = states.npad;
+ for i=st:nfield+npad:en
+ rx_bits_sd_log(i+nfield:i+nfield+npad-1) = 1E6;
+ end
+
+ % make a list of bits with smallest soft decn values
+
+ [dodgy_bits_mag dodgy_bits_index] = sort(abs(rx_bits_sd_log(st+length(states.uw):en)));
+ dodgy_bits_index += length(states.uw) + st - 1;
+ nbits = 6;
+ ntries = 2^nbits;
+ str = "";
+ crc_ok = 0;
+
+ % try various combinations of these bits
+
+ for i=1:ntries-1
+ error_mask = zeros(1, length(rx_bits_log));
+ for b=1:nbits
+ x = bitget(i,b);
+ bit_to_flip = dodgy_bits_index(b);
+ error_mask(bit_to_flip) = x;
+ %printf("st: %d i: %d b: %d x: %d index: %d\n", st, i,b,x,bit_to_flip);
+ end
+ rx_bits_log_flipped = xor(rx_bits_log, error_mask);
+ [str_flipped crc_ok_flipped] = extract_ascii(states, rx_bits_log_flipped, st);
+ if crc_ok_flipped
+ %printf("Yayy we fixed a packet by flipping with pattern %d\n", i);
+ str = str_flipped;
+ crc_ok = crc_ok_flipped;
+ end
+ end
+endfunction
+
+
+% Extract as many ASCII packets as we can from a great big buffer of bits
+
+function npackets = extract_and_print_rtty_packets(states, rtty, rx_bits_log, rx_bits_sd_log)
+
+ % use UWs to delimit start and end of data packets
+
+ bit = 1;
+ nbits = length(rx_bits_log);
+ nfield = rtty.nfield;
+ npad = rtty.npad;
+ npackets = 0;
+
+ uw_loc = find_uw(rtty, bit, rx_bits_log, states.verbose);
+
+ while (uw_loc != -1)
+ if bitand(states.verbose,0x8)
+ printf("nbits: %d max_packet_len: %d uw_loc: %d\n", nbits, rtty.max_packet_len, uw_loc);
+ end
+
+ if (uw_loc + rtty.max_packet_len) < nbits
+ % Now start picking out 7 bit ascii chars from frame. It has some
+ % structure so we can guess where fields are. I hope we don't get
+ % RS232 idle bits stuck into it anywhere, ie "bit fields" don't
+ % change dynamically.
+
+ % dump msg bits so we can use them as a test signal
+ %msg = rx_bits_log(st:uw_loc-1);
+ %save -ascii horus_msg.txt msg
+
+ % simulate bit error for testing
+ %rx_bits_log(st+200) = xor(rx_bits_log(st+100),1);
+ %rx_bits_sd_log(st+100) = 0;
+
+ [str crc_ok] = extract_ascii(rtty, rx_bits_log, uw_loc);
+
+ if crc_ok == 0
+ [str_flipped crc_flipped_ok rx_bits_log] = sd_bit_flipping(rtty, rx_bits_log, rx_bits_sd_log, uw_loc, uw_loc+rtty.max_packet_len);
+ end
+
+ % update memory of previous packet, we use this to guess where errors may be
+ if crc_ok || crc_flipped_ok
+ states.prev_pkt = rx_bits_log(uw_loc+length(rtty.uw):uw_loc+rtty.max_packet_len);
+ end
+
+ if crc_ok
+ str = sprintf("%s CRC OK", str);
+ npackets++;
+ else
+ if crc_flipped_ok
+ str = sprintf("%s fixed", str_flipped);
+ else
+ str = sprintf("%s CRC BAD", str);
+ end
+ end
+ printf("%s\n", str);
+ end
+
+ % look for next packet
+
+ bit = uw_loc + length(rtty.uw);
+ uw_loc = find_uw(rtty, bit, rx_bits_log, states.verbose);
+
+ endwhile
+endfunction
+
+
+% Extract as many binary packets as we can from a great big buffer of bits,
+% and send them to the C decoder for FEC decoding.
+% horus_l2 can be compiled a bunch of different ways. You need to
+% compile with:
+% codec2-dev/src$ gcc horus_l2.c -o horus_l2 -Wall -DDEC_RX_BITS -DHORUS_L2_RX
+
+function corr_log = extract_and_decode_binary_packets(states, binary, rx_bits_log)
+ corr_log = [];
+
+ % use UWs to delimit start and end of data packets
+
+ bit = 1;
+ nbits = length(rx_bits_log);
+
+ [uw_loc best_corr corr] = find_uw(binary, bit, rx_bits_log, states.verbose);
+ corr_log = [corr_log corr];
+
+ while (uw_loc != -1)
+
+ if (uw_loc+binary.max_packet_len) < nbits
+ % printf("uw_loc: %d best_corr: %d\n", uw_loc, best_corr);
+
+ % OK we have a packet delimited by two UWs. Lets convert the bit
+ % stream into bytes and save for decoding
+
+ pin = uw_loc;
+ for i=1:45
+ rx_bytes(i) = rx_bits_log(pin:pin+7) * (2.^(7:-1:0))';
+ pin += 8;
+ %printf("%d 0x%02x\n", i, rx_bytes(i));
+ end
+
+ f=fopen("horus_rx_bits_binary.bin","wb");
+ fwrite(f, rx_bytes, "uchar");
+ fclose(f);
+
+ % optionally write packet to disk to use as horus_tx_bits_binary.txt
+ f=fopen("horus_rx_bits_binary.txt","wt");
+ for i=uw_loc:uw_loc+45*8-1
+ fprintf(f, "%d ", rx_bits_log(i));
+ end
+ fclose(f);
+
+ system("../src/horus_l2"); % compile instructions above
+ end
+
+ bit = uw_loc + length(binary.uw);
+ [uw_loc best_corr corr] = find_uw(binary, bit, rx_bits_log, states.verbose);
+ corr_log = [corr_log corr];
+
+ endwhile
+
+endfunction
+
+
+% simulation of tx and rx side, add noise, channel impairments ----------------------
+%
+% test_frame_mode Description
+% 1 BER testing using known test frames
+% 2 random bits
+% 3 repeating sequence of all symbols
+% 4 Horus RTTY
+% 5 Horus Binary
+% 6 Horus High Speed: A 8x oversampled modem, e.g. Fs=9600, Rs=1200
+% which is the same as Fs=921600 Rs=115200
+% Uses packet based BER counter
+
+function run_sim(test_frame_mode, M=2, frames = 10, EbNodB = 100, filename="fsk_horus.raw")
+ timing_offset = 0.0; % see resample() for clock offset below
+ fading = 0; % modulates tx power at 2Hz with 20dB fade depth,
+ % to simulate balloon rotating at end of mission
+ df = 0; % tx tone freq drift in Hz/s
+ dA = 1; % amplitude imbalance of tones (note this affects Eb so not a gd idea)
+
+ more off
+ rand('state',1);
+ randn('state',1);
+
+ % ----------------------------------------------------------------------
+
+ % sm2000 config ------------------------
+ %states = fsk_horus_init(96000, 1200);
+ %states.f1_tx = 4000;
+ %states.f2_tx = 5200;
+
+ if test_frame_mode < 4
+ % horus rtty config ---------------------
+ states = fsk_horus_init(8000, 50, M);
+ end
+
+ if test_frame_mode == 4
+ % horus rtty config ---------------------
+ states = fsk_horus_init(8000, 100, 2);
+ states.tx_bits_file = "horus_payload_rtty.txt"; % Octave file of bits we FSK modulate
+ rtty = fsk_horus_init_rtty;
+ states.ntestframebits = rtty.max_packet_len;
+ end
+
+ if test_frame_mode == 5
+ % horus binary config ---------------------
+ states = fsk_horus_init(8000, 100, 4);
+ binary = fsk_horus_init_binary;
+ states.tx_bits_file = "horus_tx_bits_binary.txt"; % Octave file of bits we FSK modulate
+ states.ntestframebits = binary.max_packet_len;
+ end
+
+ if test_frame_mode == 6
+ % horus high speed ---------------------
+ states = fsk_horus_init(Fs=9600, Rs=1200, M=2, P=8, nsym=16);
+ states.tx_bits_file = "horus_high_speed.bin";
+ end
+
+ % Tones must be at least Rs apart for ideal non-coherent FSK
+
+ states.ftx = 900 + 2*states.Rs*(1:states.M);
+ states.tx_tone_separation = states.ftx(2) - states.ftx(1);
+
+ % ----------------------------------------------------------------------
+
+ states.verbose = 0x1;
+ M = states.M;
+ N = states.N;
+ P = states.P;
+ Rs = states.Rs;
+ nsym = states.nsym;
+ nbit = states.nbit;
+ Fs = states.Fs;
+ states.df(1:M) = df;
+ states.dA(1:M) = dA;
+
+ % optional noise. Useful for testing performance of waveforms from real world modulators
+
+ EbNo = 10^(EbNodB/10);
+ variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+ % set up tx signal with payload bits based on test mode
+
+ if (test_frame_mode == 1)
+ % test frame of bits, which we repeat for convenience when BER testing
+ states.ntestframebits = states.nbit;
+ test_frame = round(rand(1, states.ntestframebits));
+ tx_bits = [];
+ for i=1:frames+1
+ tx_bits = [tx_bits test_frame];
+ end
+ end
+
+ if test_frame_mode == 2
+ % random bits, just to make sure sync algs work on random data
+ tx_bits = round(rand(1, states.nbit*(frames+1)));
+ end
+
+ if test_frame_mode == 3
+ % repeating sequence of all symbols
+ % great for initial test of demod if nothing else works,
+ % look for this pattern in rx_bits
+ if M == 2
+ % ...10101...
+ tx_bits = zeros(1, states.nbit*(frames+1));
+ tx_bits(1:2:length(tx_bits)) = 1;
+ else
+ % repeat each possible 4fsk symbol
+ pattern = [0 0 0 1 1 0 1 1];
+ %pattern = [0 0 0 1 1 1 1 0];
+ nrepeats = states.nbit*(frames+1)/length(pattern);
+ tx_bits = [];
+ for b=1:nrepeats
+ tx_bits = [tx_bits pattern];
+ end
+ %tx_bits = zeros(1, states.nbit*(frames+1));
+ end
+ end
+
+ if (test_frame_mode == 4) || (test_frame_mode == 5)
+
+ % load up a horus msg from disk and modulate that
+
+ test_frame = load(states.tx_bits_file);
+ ltf = length(test_frame);
+ ntest_frames = ceil((frames+1)*nbit/ltf);
+ printf("Generating %d test packets\n", ntest_frames);
+
+ % 1 second of random bits to let estimators lock on
+
+ preamble = round(rand(1,states.Rs));
+
+ tx_bits = preamble;
+ for i=1:ntest_frames
+ tx_bits = [tx_bits test_frame];
+ end
+
+ % a packet len of random bits at end fill buffers to deocode final packet
+
+ if test_frame_mode == 4
+ postamble = round(rand(1,rtty.max_packet_len));
+ else
+ postamble = round(rand(1,binary.max_packet_len));
+ end
+ tx_bits = [tx_bits postamble];
+ end
+
+ if test_frame_mode == 6
+ states.verbose += 0x4;
+ ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
+ states.ntestframebits = length(test_frame);
+ printf("length test frame: %d\n", states.ntestframebits);
+ %test_frame = rand(1,states.ntestframebits) > 0.5;
+
+ tx_bits = [];
+ for i=1:frames+1
+ tx_bits = [tx_bits test_frame];
+ end
+ end
+
+ tx = fsk_mod(states, tx_bits);
+
+ %tx = resample(tx, 1000, 1001); % simulated 1000ppm sample clock offset
+
+ if fading
+ ltx = length(tx);
+ tx = tx .* (1.1 + cos(2*pi*2*(0:ltx-1)/Fs))'; % min amplitude 0.1, -20dB fade, max 3dB
+ end
+
+ noise = sqrt(variance)*randn(length(tx),1);
+ rx = tx + noise;
+ printf("SNRdB meas: %4.1f\n", 10*log10(var(tx)/var(noise)));
+
+ % dump simulated rx file
+
+ ftx=fopen(filename,"wb"); rxg = rx*1000; fwrite(ftx, rxg, "short"); fclose(ftx);
+
+ timing_offset_samples = round(timing_offset*states.Ts);
+ st = 1 + timing_offset_samples;
+ rx_bits_buf = zeros(1,nbit+states.ntestframebits);
+ x_log = [];
+ timing_nl_log = [];
+ norm_rx_timing_log = [];
+ f_int_resample_log = [];
+ f_log = [];
+ EbNodB_log = [];
+ rx_bits_log = [];
+ rx_bits_sd_log = [];
+
+ % main loop ---------------------------------------------------------------
+
+ run_frames = floor(length(rx)/N)-1;
+ for f=1:run_frames
+
+ % extract nin samples from input stream
+
+ nin = states.nin;
+ en = st + states.nin - 1;
+
+ if en < length(rx) % due to nin variations its possible to overrun buffer
+ sf = rx(st:en);
+ st += nin;
+
+ % demodulate to stream of bits
+
+ states = est_freq(states, sf, states.M);
+ %states.f = 900 + 2*states.Rs*(1:states.M);
+ %states.f = [1200 1400 1600 1800];
+ [rx_bits states] = fsk_demod(states, sf);
+
+ rx_bits_buf(1:states.ntestframebits) = rx_bits_buf(nbit+1:states.ntestframebits+nbit);
+ rx_bits_buf(states.ntestframebits+1:states.ntestframebits+nbit) = rx_bits;
+ %rx_bits_buf(1:nbit) = rx_bits_buf(nbit+1:2*nbit);
+ %rx_bits_buf(nbit+1:2*nbit) = rx_bits;
+
+ rx_bits_log = [rx_bits_log rx_bits];
+ rx_bits_sd_log = [rx_bits_sd_log states.rx_bits_sd];
+
+ norm_rx_timing_log = [norm_rx_timing_log states.norm_rx_timing];
+ x_log = [x_log states.x];
+ timing_nl_log = [timing_nl_log states.timing_nl];
+ f_int_resample_log = [f_int_resample_log abs(states.f_int_resample(:,:))];
+ f_log = [f_log; states.f];
+ EbNodB_log = [EbNodB_log states.EbNodB];
+
+ if test_frame_mode == 1
+ states = ber_counter(states, test_frame, rx_bits_buf);
+ end
+ if test_frame_mode == 6
+ states = ber_counter_packet(states, test_frame, rx_bits_buf);
+ end
+ end
+ end
+
+ % print stats, count errors, decode packets ------------------------------------------
+
+ if (test_frame_mode == 1) || (test_frame_mode == 6)
+ printf("frames: %d EbNo: %3.2f Tbits: %d Terrs: %d BER %4.3f\n", frames, EbNodB, states.Tbits,states. Terrs, states.Terrs/states.Tbits);
+ end
+
+ if test_frame_mode == 4
+ npackets = extract_and_print_rtty_packets(states, rtty, rx_bits_log, rx_bits_sd_log);
+ printf("Received %d packets\n", npackets);
+ end
+
+ if test_frame_mode == 5
+ extract_and_decode_binary_packets(states, binary, rx_bits_log);
+ end
+
+ figure(1);
+ plot(f_int_resample_log','+')
+ hold off;
+
+ figure(2)
+ clf
+ m = max(abs(x_log));
+ plot(x_log,'+')
+ axis([-m m -m m])
+ title('fine timing metric')
+
+ figure(3)
+ clf
+ subplot(211)
+ plot(norm_rx_timing_log);
+ axis([1 run_frames -1 1])
+ title('norm fine timing')
+ subplot(212)
+ plot(states.nerr_log)
+ title('num bit errors each frame')
+
+ figure(4)
+ clf
+ subplot(211)
+ one_sec_rx = rx(1:min(Fs,length(rx)));
+ plot(one_sec_rx)
+ title('rx signal at demod input')
+ subplot(212)
+ plot(abs(fft(one_sec_rx)))
+
+ figure(5)
+ clf
+ plot(f_log,'+')
+ title('tone frequencies')
+ axis([1 run_frames 0 Fs/2])
+
+ figure(6)
+ clf
+ plot(EbNodB_log);
+ title('Eb/No estimate')
+
+ figure(7)
+ clf
+ subplot(211)
+ X = abs(fft(timing_nl_log));
+ plot(X(1:length(X)/2))
+ subplot(212)
+ plot(abs(timing_nl_log(1:100)))
+
+ endfunction
+
+
+% ---------------------------------------------------------------------
+% demodulate from a user-supplied file
+% ---------------------------------------------------------------------
+
+function rx_bits_log = demod_file(filename, test_frame_mode=4, noplot=0, EbNodB=100, max_frames=1E32)
+ fin = fopen(filename,"rb");
+ more off;
+ read_complex = 0; sample_size = 'int16'; shift_fs_on_4 = 0;
+ max_frames
+
+ if test_frame_mode == 4
+ % horus rtty config ---------------------
+ states = fsk_horus_init(8000, 100, 2);
+ rtty = fsk_horus_init_rtty;
+ states.ntestframebits = rtty.max_packet_len;
+ end
+
+ if test_frame_mode == 5
+ % horus binary config ---------------------
+ states = fsk_horus_init(8000, 100, 4);
+ binary = fsk_horus_init_binary;
+ states.ntestframebits = binary.max_packet_len;
+ end
+
+ states.verbose = 0x1 + 0x8;
+
+ if test_frame_mode == 6
+ % Horus high speed config --------------
+ states = fsk_horus_init(Fs=9600, Rs=1200, M=2, P=8, nsym=16);
+ states.tx_bits_file = "horus_high_speed.bin";
+ states.verbose += 0x4;
+ ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
+ states.ntestframebits = length(test_frame);
+ printf("length test frame: %d\n", states.ntestframebits);
+ end
+
+ if test_frame_mode == 7
+ % 800XA 4FSK modem --------------
+ states = fsk_init(Fs=8000, Rs=400, M=4, P=10, nsym=256);
+ states.tx_bits_file = "horus_high_speed.bin";
+ states.verbose += 0x4;
+ ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
+ states.ntestframebits = length(test_frame);
+ printf("length test frame: %d\n", states.ntestframebits);
+ end
+
+ if test_frame_mode == 8
+ % test RS41 type balllon telemetry --------------
+ states = fsk_init(96000, 4800, 2, 10, 16);
+ states.fest_fmin = 1000;
+ states.fest_fmax = 40000;
+ states.fest_min_spacing = 1000;
+ states.tx_bits_file = "../build_linux/src/tx_bit.bin";
+ states.verbose += 0x4;
+ #ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
+ #states.ntestframebits = length(test_frame);
+ #printf("length test frame: %d\n", states.ntestframebits);
+ states.ntestframebits = 1000;
+ read_complex = 1;
+ shift_fs_on_4 = 1; % get samples into range of current freq estimator
+ end
+
+ if test_frame_mode == 9
+ % Wenet high speed SSTV, we can just check raw demo here ---------------------
+ % despite the high sample rate the modem sees this as a 8:1 Fs/Rs configuration
+ states = fsk_init(8000, 1000, 2);
+ states.tx_tone_separation = 1000;
+ states.ntestframebits = (256+2+65)*8+40; % from src/drs232_lpc.c
+ states.freq_est_type = 'mask';
+ read_complex=1; sample_size = 'uint8';
+ printf("Wenet mode: ntestframebits: %d freq_est_type: %s\n", states.ntestframebits, states.freq_est_type);
+ %states.verbose = 0x8;
+ end
+
+ N = states.N;
+ P = states.P;
+ Rs = states.Rs;
+ nsym = states.nsym;
+ nbit = states.nbit;
+
+ frames = 0;
+ rx = [];
+ rx_bits_log = [];
+ rx_bits_sd_log = [];
+ norm_rx_timing_log = [];
+ f_int_resample_log = [];
+ EbNodB_log = [];
+ ppm_log = [];
+ f_log = []; Sf_log = [];
+
+ rx_bits_buf = zeros(1,nbit + states.ntestframebits);
+
+ % optional noise. Useful for testing performance of waveforms from real world modulators
+ % we need to pre-read the file to estimate the signal power
+ ftmp = fopen(filename,"rb"); s = fread(ftmp,Inf,sample_size); fclose(ftmp);
+ if sample_size == "uint8" s = (s - 127)/128; end
+ if read_complex s = s(1:2:end) + j*s(2:2:end); end
+ tx_pwr = var(s);
+ EbNo = 10^(EbNodB/10);
+ variance = (tx_pwr/2)*states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+ % First extract raw bits from samples ------------------------------------------------------
+
+ printf("demod of raw bits....\n");
+
+ finished = 0; ph = 1;
+ while (finished == 0)
+
+ % extract nin samples from input stream
+
+ nin = states.nin;
+ if read_complex
+ [sf count] = fread(fin, 2*nin, sample_size);
+ if sample_size == "uint8" sf = (sf - 127)/128; end
+ sf = sf(1:2:end) + j*sf(2:2:end);
+ count /= 2;
+ if shift_fs_on_4
+ % optional shift up in freq by Fs/4 to get into freq est range
+ for i=1:count
+ ph = ph*exp(j*pi/4);
+ sf(i) *= ph;
+ end
+ end
+ else
+ [sf count] = fread(fin, nin, "short");
+ end
+ rx = [rx; sf];
+
+ % add optional noise
+
+ if count
+ noise = sqrt(variance)*randn(count,1);
+ sf += noise;
+ end
+
+ if count == nin
+ frames++;
+
+ % demodulate to stream of bits
+
+ states = est_freq(states, sf, states.M);
+ if states.freq_est_type == 'mask' states.f = states.f2; end
+ [rx_bits states] = fsk_demod(states, sf);
+
+ rx_bits_buf(1:states.ntestframebits) = rx_bits_buf(nbit+1:states.ntestframebits+nbit);
+ rx_bits_buf(states.ntestframebits+1:states.ntestframebits+nbit) = rx_bits;
+
+ rx_bits_log = [rx_bits_log rx_bits];
+ rx_bits_sd_log = [rx_bits_sd_log states.rx_bits_sd];
+ norm_rx_timing_log = [norm_rx_timing_log states.norm_rx_timing];
+ f_int_resample_log = [f_int_resample_log abs(states.f_int_resample)];
+ EbNodB_log = [EbNodB_log states.EbNodB];
+ ppm_log = [ppm_log states.ppm];
+ f_log = [f_log; states.f];
+ Sf_log = [Sf_log; states.Sf'];
+
+ if (test_frame_mode == 1)
+ states = ber_counter(states, test_frame, rx_bits_buf);
+ if states.ber_state == 1
+ states.verbose = 0;
+ end
+ end
+ if (test_frame_mode == 6) % || (test_frame_mode == 8)
+ states = ber_counter_packet(states, test_frame, rx_bits_buf);
+ end
+ else
+ finished = 1;
+ end
+
+ if frames > max_frames finished=1; end
+
+ end
+ printf("frames: %d\n", frames);
+ fclose(fin);
+
+ if noplot == 0
+ printf("plotting...\n");
+
+ figure(1); clf;
+ plot(f_log);
+ title('Tone Freq Estimates');
+
+ figure(2);
+ plot(f_int_resample_log','+')
+ title('Integrator outputs for each tone');
+
+ figure(3); clf
+ subplot(211)
+ plot(norm_rx_timing_log)
+ axis([1 frames -0.5 0.5])
+ title('norm fine timing')
+ subplot(212)
+ plot(states.nerr_log)
+ title('num bit errors each frame')
+
+ figure(4); clf
+ plot(EbNodB_log);
+ title('Eb/No estimate')
+
+ figure(5); clf
+ rx_nowave = rx(1000:length(rx)); % skip past wav header if it's a wave file
+ subplot(211)
+ plot(real(rx_nowave));
+ title('input signal to demod (1 sec)')
+ xlabel('Time (samples)');
+ %axis([1 states.Fs -35000 35000])
+
+ % normalise spectrum to 0dB full scale with sine wave input
+ subplot(212);
+ if sample_size == "int16" max_value = 32767; end
+ if sample_size == "uint8" max_value = 127; end
+ RxdBFS = 20*log10(abs(fft(rx_nowave(1:states.Fs)))) - 20*log10((states.Fs/2)*max_value);
+ plot(RxdBFS)
+ axis([1 states.Fs/2 -80 0])
+ xlabel('Frequency (Hz)');
+
+ figure(6); clf
+ plot(ppm_log)
+ title('Sample clock (baud rate) offset in PPM');
+
+ figure(7); clf; mesh(Sf_log(1:10,:));
+ end
+
+ if (test_frame_mode == 1) || (test_frame_mode == 6)
+ printf("frames: %d Tbits: %d Terrs: %d BER %4.3f EbNo: %3.2f\n", frames, states.Tbits,states. Terrs, states.Terrs/states.Tbits, mean(EbNodB_log));
+ end
+
+ % we can decode both protocols at the same time
+
+ if (test_frame_mode == 4)
+ npackets = extract_and_print_rtty_packets(states, rtty, rx_bits_log, rx_bits_sd_log)
+ printf("Received %d packets\n", npackets);
+ end
+
+ if (test_frame_mode == 5)
+ corr_log = extract_and_decode_binary_packets(states, binary, rx_bits_log);
+
+ figure(8);
+ clf
+ plot(corr_log);
+ hold on;
+ plot([1 length(corr_log)],[binary.uw_thresh binary.uw_thresh],'g');
+ hold off;
+ title('UW correlation');
+ end
+
+endfunction
+
+
+% Over the years this modem has been used for many different FSK signals ...
+
+if exist("fsk_horus_as_a_lib") == 0
+ run_sim(test_frame_mode=4, M=2, frames=30, EbNodB = 20);
+ %run_sim(5, 4, 30, 100);
+ %rx_bits = demod_file("~/Desktop/115.wav",6,0,90);
+ %rx_bits = demod_file("~/Desktop/fsk_800xa_rx_hackrf.wav",7);
+ %rx_bits = demod_file("~/Desktop/2fsk_100_rx_rpi_rtlsdr_002_ledger.wav",4);
+ %rx_bits = demod_file("~/Desktop/phorus_binary_ascii.wav",4);
+ %rx_bits = demod_file("~/Desktop/binary/horus_160102_binary_rtty_2.wav",4);
+ %rx_bits = demod_file("~/Desktop/horus_160102_vk5ei_capture2.wav",4);
+ %rx_bits = demod_file("~/Desktop/horus_rtty_binary.wav",4);
+ %rx_bits = demod_file("~/Desktop/FSK_4FSK.wav",4);
+ %rx_bits = demod_file("t.raw",5);
+ %rx_bits = demod_file("~/Desktop/fsk_horus_10dB_1000ppm.wav",4);
+ %rx_bits = demod_file("~/Desktop/fsk_horus_6dB_0ppm.wav",4);
+ %rx_bits = demod_file("test.raw",1,1);
+ %rx_bits = .rawdemod_file("/dev/ttyACM0",1);
+ %rx_bits = demod_file("fsk_horus_rx_1200_96k.raw",1);
+ %rx_bits = demod_file("mp.raw",4);
+ %rx_bits = demod_file("~/Desktop/launchbox_v2_landing_8KHz_final.wav",4);
+ %rx_bits = demod_file("~/Desktop/fsk_800xa.wav",7);
+ %rx_bits = demod_file("~/Desktop/rs41_96k_10s.iq16",8);
+end
diff --git a/libcodec2-android/src/codec2/octave/fsk_lib.m b/libcodec2-android/src/codec2/octave/fsk_lib.m
new file mode 100644
index 0000000..6d04660
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_lib.m
@@ -0,0 +1,469 @@
+% fsk_lib.m
+% David Rowe Oct 2015 - present
+%
+% mFSK modem, started out life as RTTY demodulator for Project
+% Horus High Altitude Ballon (HAB) telemetry, also used for:
+%
+% FreeDV 2400A: 4FSK UHF/UHF digital voice
+% Wenet.......: 100 kbit/s HAB High Def image telemetry
+%
+% Handles frequency offsets, performance right on ideal, C implementation
+% in codec2/src
+
+1;
+
+function states = fsk_init(Fs, Rs, M=2, P=8, nsym=50)
+ states.M = M;
+ states.bitspersymbol = log2(M);
+ states.Fs = Fs;
+ states.Rs = Rs;
+
+ states.nsym = nsym; % Number of symbols processed by demodulator in each call, also
+ % the timing estimator window
+ Ts = states.Ts = Fs/Rs; % number of samples per symbol
+ assert(Ts == floor(Ts), "Fs/Rs must be an integer");
+
+ N = states.N = Ts*states.nsym; % processing buffer size, nice big window for timing est
+ bin_width_Hz = 0.1*Rs; % we want enough DFT bins to get within 10% of the tones centre
+ Ndft = Fs/bin_width_Hz;
+ states.Ndft = 2.^ceil(log2(Ndft)); % round to nearest power of 2 for efficent FFT
+ states.Sf = zeros(states.Ndft,1); % current memory of dft mag samples
+ states.tc = 0.1; % average DFT over longtime window, accurate at low Eb/No, but slow
+
+ states.nbit = states.nsym*states.bitspersymbol; % number of bits per processing frame
+ Nmem = states.Nmem = N+2*Ts; % two symbol memory in down converted signals to allow for timing adj
+
+ states.f_dc = zeros(M,Nmem);
+ states.P = P; % oversample rate out of filter
+ assert(Ts/states.P == floor(Ts/states.P), "Ts/P must be an integer");
+
+ states.tx_tone_separation = 2*Rs;
+ states.nin = N; % can be N +/- Ts/P samples to adjust for sample clock offsets
+ states.verbose = 0;
+ states.phi = zeros(1, M); % keep down converter osc phase continuous
+
+ % BER stats
+
+ states.ber_state = 0;
+ states.ber_valid_thresh = 0.05; states.ber_invalid_thresh = 0.1;
+ states.Tbits = 0;
+ states.Terrs = 0;
+ states.nerr_log = 0;
+
+ % extra simulation parameters
+
+ states.tx_real = 1;
+ states.dA(1:M) = 1;
+ states.df(1:M) = 0;
+ states.f(1:M) = 0;
+ states.norm_rx_timing = 0;
+ states.ppm = 0;
+ states.prev_pkt = [];
+
+ % Freq. estimator limits
+ states.fest_fmax = Fs;
+ states.fest_fmin = 0;
+ states.fest_min_spacing = 0.75*Rs;
+ states.freq_est_type = 'peak';
+
+ %printf("Octave: M: %d Fs: %d Rs: %d Ts: %d nsym: %d nbit: %d N: %d Ndft: %d fmin: %d fmax: %d\n",
+ % states.M, states.Fs, states.Rs, states.Ts, states.nsym, states.nbit, states.N, states.Ndft, states.fest_fmin, states.fest_fmax);
+
+endfunction
+
+
+% modulator function
+
+function tx = fsk_mod(states, tx_bits)
+
+ M = states.M;
+ Ts = states.Ts;
+ Fs = states.Fs;
+ ftx = states.ftx;
+ df = states.df; % tone freq change in Hz/s
+ dA = states.dA; % amplitude of each tone
+
+ num_bits = length(tx_bits);
+ num_symbols = num_bits/states.bitspersymbol;
+ tx = zeros(states.Ts*num_symbols,1);
+ tx_phase = 0;
+ s = 1;
+
+ for i=1:states.bitspersymbol:num_bits
+
+ % map bits to FSK symbol (tone number)
+
+ K = states.bitspersymbol;
+ tone = tx_bits(i:i+(K-1)) * (2.^(K-1:-1:0))' + 1;
+
+ tx_phase_vec = tx_phase + (1:Ts)*2*pi*ftx(tone)/Fs;
+ tx_phase = tx_phase_vec(Ts) - floor(tx_phase_vec(Ts)/(2*pi))*2*pi;
+ if states.tx_real
+ tx((s-1)*Ts+1:s*Ts) = dA(tone)*2.0*cos(tx_phase_vec);
+ else
+ tx((s-1)*Ts+1:s*Ts) = dA(tone)*exp(j*tx_phase_vec);
+ end
+ s++;
+
+ % freq drift
+
+ ftx += df*Ts/Fs;
+ end
+ states.ftx = ftx;
+endfunction
+
+
+% Estimate the frequency of the FSK tones. In some applications (such
+% as balloon telemetry) these may not be well controlled by the
+% transmitter, so we have to try to estimate them.
+
+function states = est_freq(states, sf, ntones)
+ N = states.N;
+ Ndft = states.Ndft;
+ Fs = states.Fs;
+
+ % This assumption is OK for balloon telemetry but may not be true in
+ % general
+
+ min_tone_spacing = states.fest_min_spacing;
+
+ % set some limits to search range, which will mean some manual re-tuning
+
+ fmin = states.fest_fmin;
+ fmax = states.fest_fmax;
+ % note 0 Hz is mapped to Ndft/2+1 via fftshift
+ st = floor(fmin*Ndft/Fs) + Ndft/2; st = max(1,st);
+ en = floor(fmax*Ndft/Fs) + Ndft/2; en = min(Ndft,en);
+
+ #printf("Fs: %f Ndft: %d fmin: %f fmax: %f st: %d en: %d\n",Fs, Ndft, fmin, fmax, st, en)
+
+ % Update mag DFT ---------------------------------------------
+
+ % we break up input buffer to a series of overlapping Ndft sequences
+ numffts = floor(length(sf)/(Ndft/2)) - 1;
+ h = hanning(Ndft);
+ for i=1:numffts
+ a = (i-1)*Ndft/2+1; b = a + Ndft - 1;
+ Sf = abs(fftshift(fft(sf(a:b) .* h, Ndft)));
+
+ % Smooth DFT mag spectrum, slower to respond to changes but more
+ % accurate. Single order IIR filter is an exponentially weighted
+ % moving average. This means the freq est window is wider than
+ % timing est window
+ tc = states.tc; states.Sf = (1-tc)*states.Sf + tc*Sf;
+ end
+
+ % Search for each tone method 1 - peak pick each tone location ----------------------------------
+
+ f = []; a = [];
+ Sf = states.Sf;
+ for m=1:ntones
+ [tone_amp tone_index] = max(Sf(st:en));
+ tone_index += st - 1;
+
+ f = [f (tone_index-1-Ndft/2)*Fs/Ndft];
+ a = [a tone_amp];
+
+ % zero out region min_tone_spacing either side of max so we can find next highest peak
+ % closest spacing for non-coh mFSK is Rs
+
+ stz = tone_index - floor((min_tone_spacing)*Ndft/Fs);
+ stz = max(1,stz);
+ enz = tone_index + floor((min_tone_spacing)*Ndft/Fs);
+ enz = min(Ndft,enz);
+ Sf(stz:enz) = 0;
+ end
+
+ states.f = sort(f);
+
+ % Search for each tone method 2 - correlate with mask with non-zero entries at tone spacings -----
+
+ % Create a mask with non-zero entries at tone spacing. Might be
+ % smarter to use the DFT of a hanning window as mask
+
+ mask = zeros(1,Ndft);
+ mask(1:3) = 1;
+ for m=1:ntones-1
+ bin = round(m*states.tx_tone_separation*Ndft/Fs);
+ mask(bin:bin+2) = 1;
+ end
+ mask = mask(1:bin+2);
+ states.mask = mask;
+
+ % drag mask over Sf, looking for peak in correlation
+ b_max = st; corr_max = 0;
+ Sf = states.Sf; corr_log = [];
+ for b=st:en-length(mask)
+ corr = mask * Sf(b:b+length(mask)-1);
+ corr_log = [corr_log corr];
+ if corr > corr_max
+ corr_max = corr;
+ b_max = b;
+ end
+ end
+ foff = ((b_max-1)-Ndft/2)*Fs/Ndft;
+
+ if bitand(states.verbose, 0x8)
+ % enable this to single step through frames
+ figure(1); clf; subplot(211); plot(Sf,'b;sf;');
+ hold on; plot(max(Sf)*[zeros(1,b_max) mask],'g;mask;'); hold off;
+ subplot(212); plot(corr_log); ylabel('corr against f');
+ printf("foff: %4.0f\n", foff);
+ kbhit;
+ end
+ states.f2 = foff + (0:ntones-1)*states.tx_tone_separation;
+end
+
+
+% ------------------------------------------------------------------------------------
+% Given a buffer of nin input Rs baud FSK samples, returns nsym bits.
+%
+% nin is the number of input samples required by demodulator. This is
+% time varying. It will nominally be N (8000), and occasionally N +/-
+% Ts/2 (e.g. 8080 or 7920). This is how we compensate for differences between the
+% remote tx sample clock and our sample clock. This function always returns
+% N/Ts (e.g. 50) demodulated bits. Variable number of input samples, constant number
+% of output bits.
+
+function [rx_bits states] = fsk_demod(states, sf)
+ M = states.M;
+ N = states.N;
+ Ndft = states.Ndft;
+ Fs = states.Fs;
+ Rs = states.Rs;
+ Ts = states.Ts;
+ nsym = states.nsym;
+ P = states.P;
+ nin = states.nin;
+ verbose = states.verbose;
+ Nmem = states.Nmem;
+ f = states.f;
+
+ assert(length(sf) == nin);
+
+ % down convert and filter at rate P ------------------------------
+
+ % update filter (integrator) memory by shifting in nin samples
+
+ nold = Nmem-nin; % number of old samples we retain
+
+ f_dc = states.f_dc;
+ f_dc(:,1:nold) = f_dc(:,Nmem-nold+1:Nmem);
+
+ % freq shift down to around DC, ensuring continuous phase from last frame, as nin may vary
+ for m=1:M
+ phi_vec = states.phi(m) + (1:nin)*2*pi*f(m)/Fs;
+ f_dc(m,nold+1:Nmem) = sf .* exp(j*phi_vec)';
+ states.phi(m) = phi_vec(nin);
+ states.phi(m) -= 2*pi*floor(states.phi(m)/(2*pi));
+ end
+ % save filter (integrator) memory for next time
+ states.f_dc = f_dc;
+
+ % integrate over symbol period, which is effectively a LPF, removing
+ % the -2Fc frequency image. Can also be interpreted as an ideal
+ % integrate and dump, non-coherent demod. We run the integrator at
+ % rate P*Rs (1/P symbol offsets) to get outputs at a range of
+ % different fine timing offsets. We calculate integrator output
+ % over nsym+1 symbols so we have extra samples for the fine timing
+ % re-sampler at either end of the array.
+
+ f_int = zeros(M,(nsym+1)*P);
+ for i=1:(nsym+1)*P
+ st = 1 + (i-1)*Ts/P;
+ en = st+Ts-1;
+ for m=1:M
+ f_int(m,i) = sum(f_dc(m,st:en));
+ end
+ end
+ states.f_int = f_int;
+
+ % fine timing estimation -----------------------------------------------
+
+ % Non linearity has a spectral line at Rs, with a phase
+ % related to the fine timing offset. See:
+ % http://www.rowetel.com/blog/?p=3573
+ % We have sampled the integrator output at Fs=P samples/symbol, so
+ % lets do a single point DFT at w = 2*pi*f/Fs = 2*pi*Rs/(P*Rs)
+ %
+ % Note timing non-linearity derived by experiment. Not quite sure what I'm doing here.....
+ % but it gives 0dB impl loss for 2FSK Eb/No=9dB, testmode 1:
+ % Fs: 8000 Rs: 50 Ts: 160 nsym: 50
+ % frames: 200 Tbits: 9700 Terrs: 93 BER 0.010
+
+ Np = length(f_int(1,:));
+ w = 2*pi*(Rs)/(P*Rs);
+ timing_nl = sum(abs(f_int(:,:)).^2);
+ x = timing_nl * exp(-j*w*(0:Np-1))';
+ norm_rx_timing = angle(x)/(2*pi);
+ rx_timing = norm_rx_timing*P;
+
+ states.x = x;
+ states.timing_nl = timing_nl;
+ states.rx_timing = rx_timing;
+ prev_norm_rx_timing = states.norm_rx_timing;
+ states.norm_rx_timing = norm_rx_timing;
+
+ % estimate sample clock offset in ppm
+ % d_norm_timing is fraction of symbol period shift over nsym symbols
+
+ d_norm_rx_timing = norm_rx_timing - prev_norm_rx_timing;
+
+ % filter out big jumps due to nin changes
+
+ if abs(d_norm_rx_timing) < 0.2
+ appm = 1E6*d_norm_rx_timing/nsym;
+ states.ppm = 0.9*states.ppm + 0.1*appm;
+ end
+
+ % work out how many input samples we need on the next call. The aim
+ % is to keep angle(x) away from the -pi/pi (+/- 0.5 fine timing
+ % offset) discontinuity. The side effect is to track sample clock
+ % offsets
+
+ next_nin = N;
+ if norm_rx_timing > 0.25
+ next_nin += Ts/4;
+ end
+ if norm_rx_timing < -0.25;
+ next_nin -= Ts/4;
+ end
+ states.nin = next_nin;
+
+ % Now we know the correct fine timing offset, Re-sample integrator
+ % outputs using fine timing estimate and linear interpolation, then
+ % extract the demodulated bits
+
+ low_sample = floor(rx_timing);
+ fract = rx_timing - low_sample;
+ high_sample = ceil(rx_timing);
+
+ if bitand(verbose,0x2)
+ printf("rx_timing: %3.2f low_sample: %d high_sample: %d fract: %3.3f nin_next: %d\n", rx_timing, low_sample, high_sample, fract, next_nin);
+ end
+
+ f_int_resample = zeros(M,nsym);
+ rx_bits = zeros(1,nsym*states.bitspersymbol);
+ tone_max = zeros(1,nsym);
+ rx_nse_pow = 1E-12; rx_sig_pow = 0.0;
+
+ for i=1:nsym
+ st = i*P+1;
+ f_int_resample(:,i) = f_int(:,st+low_sample)*(1-fract) + f_int(:,st+high_sample)*fract;
+
+ % Hard decision decoding, Largest amplitude tone is the winner.
+ % Map this FSK "symbol" back to bits, depending on M
+
+ [tone_max(i) tone_index] = max(f_int_resample(:,i));
+ st = (i-1)*states.bitspersymbol + 1;
+ en = st + states.bitspersymbol-1;
+ arx_bits = dec2bin(tone_index - 1, states.bitspersymbol) - '0';
+ rx_bits(st:en) = arx_bits;
+
+ % each filter is the DFT of a chunk of spectrum. If there is no tone in the
+ % filter it can be considered an estimate of noise in that bandwidth
+ rx_pows = f_int_resample(:,i) .* conj(f_int_resample(:,i));
+ rx_sig_pow += rx_pows(tone_index);
+ rx_nse_pow += (sum(rx_pows) - rx_pows(tone_index))/(M-1);
+ end
+
+ states.f_int_resample = f_int_resample;
+
+ % Eb/No estimation (todo: this needs some work, like calibration, low Eb/No perf, work for all M)
+ tone_max = abs(tone_max);
+ states.EbNodB = -6 + 20*log10(1E-6+mean(tone_max)/(1E-6+std(tone_max)));
+
+ % Estimators for LDPC decoder, might be a bit rough if nsym is small
+ rx_sig_pow = rx_sig_pow/nsym;
+ rx_nse_pow = rx_nse_pow/nsym;
+ states.v_est = sqrt(rx_sig_pow-rx_nse_pow);
+ states.SNRest = rx_sig_pow/rx_nse_pow;
+endfunction
+
+
+% BER counter and test frame sync logic -------------------------------------------
+% We look for test_frame in rx_bits_buf, rx_bits_buf must be twice as long as test_frame
+
+function states = ber_counter(states, test_frame, rx_bits_buf)
+ nbit = length(test_frame);
+ assert (length(rx_bits_buf) == 2*nbit);
+ state = states.ber_state;
+ next_state = state;
+
+ if state == 0
+
+ % try to sync up with test frame
+
+ nerrs_min = nbit;
+ for i=1:nbit
+ error_positions = xor(rx_bits_buf(i:nbit+i-1), test_frame);
+ nerrs = sum(error_positions);
+ if nerrs < nerrs_min
+ nerrs_min = nerrs;
+ states.coarse_offset = i;
+ end
+ end
+ if nerrs_min/nbit < states.ber_valid_thresh
+ next_state = 1;
+ end
+ if bitand(states.verbose,0x4)
+ printf("coarse offset: %d nerrs_min: %d next_state: %d\n", states.coarse_offset, nerrs_min, next_state);
+ end
+ states.nerr = nerrs_min;
+ end
+
+ if state == 1
+
+ % we're synced up, lets measure bit errors
+
+ error_positions = xor(rx_bits_buf(states.coarse_offset:states.coarse_offset+nbit-1), test_frame);
+ nerrs = sum(error_positions);
+ if nerrs/nbit > states.ber_invalid_thresh
+ next_state = 0;
+ if bitand(states.verbose,0x4)
+ printf("coarse offset: %d nerrs: %d next_state: %d\n", states.coarse_offset, nerrs, next_state);
+ end
+ else
+ states.Terrs += nerrs;
+ states.Tbits += nbit;
+ states.nerr_log = [states.nerr_log nerrs];
+ end
+ states.nerr = nerrs;
+ end
+
+ states.ber_state = next_state;
+endfunction
+
+
+% Alternative stateless BER counter that works on packets that may have gaps between them
+
+function states = ber_counter_packet(states, test_frame, rx_bits_buf)
+ ntestframebits = states.ntestframebits;
+ nbit = states.nbit;
+
+ % look for offset with min errors
+
+ nerrs_min = ntestframebits; coarse_offset = 1;
+ for i=1:nbit
+ error_positions = xor(rx_bits_buf(i:ntestframebits+i-1), test_frame);
+ nerrs = sum(error_positions);
+ %printf("i: %d nerrs: %d\n", i, nerrs);
+ if nerrs < nerrs_min
+ nerrs_min = nerrs;
+ coarse_offset = i;
+ end
+ end
+
+ % if less than threshold count errors
+
+ if nerrs_min/ntestframebits < 0.05
+ states.Terrs += nerrs_min;
+ states.Tbits += ntestframebits;
+ states.nerr_log = [states.nerr_log nerrs_min];
+ if bitand(states.verbose, 0x4)
+ printf("coarse_offset: %d nerrs_min: %d\n", coarse_offset, nerrs_min);
+ end
+ end
+endfunction
+
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_lib_demo.m b/libcodec2-android/src/codec2/octave/fsk_lib_demo.m
new file mode 100644
index 0000000..c6d83b6
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_lib_demo.m
@@ -0,0 +1,101 @@
+% fsk_lib_demo.m
+% Uncoded FSK modem demo
+
+fsk_lib;
+
+% set up waveform
+function [states M bits_per_frame] = modem_init(Rs,Fs,df)
+ M = 4;
+ states = fsk_init(Fs,Rs,M,P=8,nsym=100);
+ bits_per_frame = 512;
+ states.tx_real = 0; % complex signal
+ states.tx_tone_separation = 250;
+ states.ftx = -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
+ states.fest_fmin = -Fs/2;
+ states.fest_fmax = +Fs/2;
+ states.fest_min_spacing = Rs/2;
+ states.df = df;
+
+ states.ber_valid_thresh = 0.1;
+ states.ber_invalid_thresh = 0.2;
+end
+
+% Run a complete modem (freq and timing estimators running) at a
+% single Eb/No point. At low Eb/No the estimators occasionally fall
+% over so we get complete junk, we consider that case a packet error
+% and exclude it from the BER estimation.
+
+function [states ber per] = modem_run_test(EbNodB = 10, num_frames=10, Fs=8000, Rs=100, df=0, plots=0)
+ randn('state',1); rand('state',1);
+ [states M bits_per_frame] = modem_init(Rs, Fs, df);
+ N = states.N;
+ if plots; states.verbose = 0x4; end
+ EbNo = 10^(EbNodB/10);
+ variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+ nbits = bits_per_frame*num_frames;
+ test_frame = round(rand(1,bits_per_frame)); tx_bits = [];
+ for f=1:num_frames
+ tx_bits = [tx_bits test_frame];
+ end
+
+ tx = fsk_mod(states, tx_bits);
+ noise = sqrt(variance/2)*randn(length(tx),1) + j*sqrt(variance/2)*randn(length(tx),1);
+ rx = tx + noise;
+
+ run_frames = floor(length(rx)/N)-1;
+ st = 1; f_log = []; f_log2 = []; rx_bits = []; rx_bits2 = [];
+ for f=1:run_frames
+
+ % extract nin samples from input stream
+ nin = states.nin;
+ en = st + states.nin - 1;
+
+ % due to nin variations it's possible to overrun buffer
+ if en < length(rx)
+ sf = rx(st:en);
+ states = est_freq(states, sf, states.M); states.f = states.f2;
+ [arx_bits states] = fsk_demod(states, sf);
+ rx_bits = [rx_bits arx_bits];
+ f_log = [f_log; states.f];
+ st += nin;
+ end
+ end
+
+ num_frames=floor(length(rx_bits)/bits_per_frame);
+ log_nerrs = []; num_frames_rx = 0;
+ for f=1:num_frames-1
+ st = (f-1)*bits_per_frame + 1; en = (f+1)*bits_per_frame;
+ states = ber_counter(states, test_frame, rx_bits(st:en));
+ log_nerrs = [log_nerrs states.nerr];
+ if states.ber_state; num_frames_rx++; end
+ end
+ if states.Terrs
+ printf("Fs: %d Rs: %d df % 3.2f EbNo: %4.2f ftx: %3d frx: %3d nbits: %4d nerrs: %3d ber: %4.3f\n",
+ Fs, Rs, df, EbNodB, num_frames, num_frames_rx, states.Tbits, states.Terrs, states.Terrs/states.Tbits);
+ ber = states.Terrs/states.Tbits;
+ else
+ ber = 0.5;
+ end
+
+ if plots
+ figure(1); clf;
+ ideal=ones(length(f_log),1)*states.ftx;
+ plot((1:length(f_log)),ideal(:,1),'bk;ideal;')
+ hold on; plot((1:length(f_log)),ideal(:,2:states.M),'bk'); hold off;
+ hold on;
+ plot(f_log(:,1), 'linewidth', 2, 'b;peak;');
+ plot(f_log(:,2:states.M), 'linewidth', 2, 'b');
+ hold off;
+ xlabel('Time (frames)'); ylabel('Frequency (Hz)');
+ figure(2); clf; plot(log_nerrs); title('Errors per frame');
+ end
+
+ per = 1 - num_frames_rx/num_frames;
+end
+
+[states ber per] = modem_run_test(EbNodB=6);
+BER_theory=0.01579; % for Eb/No = 6dB
+if ber < 1.5*BER_theory
+ printf("PASS\n");
+end
diff --git a/libcodec2-android/src/codec2/octave/fsk_lib_ldpc.m b/libcodec2-android/src/codec2/octave/fsk_lib_ldpc.m
new file mode 100644
index 0000000..9275636
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_lib_ldpc.m
@@ -0,0 +1,45 @@
+% fsk_lib_ldpc.m
+%
+% Library of common functions used for LDPC coded 4FSK modem experiments
+
+fsk_lib;
+ldpc;
+
+% set up modem waveform, real signal that an pass through a SSB radio
+function [states M] = modem_init(Rs,Fs,df)
+ M = 4;
+ if Rs == 100 P=8; end
+ if Rs == 400 P=10; end;
+ states = fsk_init(Fs,Rs,M,P=10,nsym=100);
+ states.tx_real = 1;
+ states.tx_tone_separation = Rs;
+ if Rs == 100
+ states.ftx = 1500 -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
+ elseif Rs == 400
+ states.ftx = 600 + states.tx_tone_separation*(0:M-1);
+ else
+ disp("unknown symbol rate");
+ end
+ states.fest_fmin = 500;
+ states.fest_fmax = 2500;
+ states.fest_min_spacing = Rs/2;
+ states.df = df;
+
+ states.ber_valid_thresh = 0.1;
+ states.ber_invalid_thresh = 0.2;
+
+ states.amp_scale = 1000;
+end
+
+% set up modem waveform and LPC code
+function [states code_param] = fsk_lib_ldpc_init (HRA, Rs, Fs, df=0, plots=0)
+ [states M] = modem_init(Rs, Fs, df);
+ N = states.N;
+ if plots; states.verbose = 0x4; end
+
+ Hsize=size(HRA);
+ states.rate = (Hsize(2)-Hsize(1))/Hsize(2);
+ code_param = ldpc_init_user(HRA, modulation='FSK', mod_order=states.M, mapping='gray');
+ states.coden = code_param.coded_bits_per_frame;
+ states.codek = code_param.data_bits_per_frame;
+end
diff --git a/libcodec2-android/src/codec2/octave/fsk_lib_ldpc_demo.m b/libcodec2-android/src/codec2/octave/fsk_lib_ldpc_demo.m
new file mode 100644
index 0000000..31019df
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_lib_ldpc_demo.m
@@ -0,0 +1,171 @@
+% fsk_lib_ldpc_demo.m
+%
+% LDPC coded 4FSK modem demo, demonstrating soft dec using CML library functions
+
+fsk_lib;
+ldpc;
+
+% set up waveform
+function [states M] = modem_init(Rs,Fs,df)
+ M = 4;
+ states = fsk_init(Fs,Rs,M,P=8,nsym=100);
+ states.tx_real = 0;
+ states.tx_tone_separation = 250;
+ states.ftx = -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
+ states.fest_fmin = -Fs/2;
+ states.fest_fmax = +Fs/2;
+ states.fest_min_spacing = Rs/2;
+ states.df = df;
+
+ states.ber_valid_thresh = 0.1;
+ states.ber_invalid_thresh = 0.2;
+end
+
+% Run a complete modem (freq and timing estimators running) at a
+% single Eb/No point. At low Eb/No the estimators occasionally fall
+% over so we get complete junk, we consider that case a packet error
+% and exclude it from the BER estimation.
+
+function [states uber cber cper] = modem_run_test(HRA, EbNodB = 10, num_frames=10, Fs=8000, Rs=100, df=0, plots=0)
+ [states M] = modem_init(Rs, Fs, df);
+ N = states.N;
+ if plots; states.verbose = 0x4; end
+
+ % set up LDPC code
+ Hsize=size(HRA);
+ Krate = (Hsize(2)-Hsize(1))/Hsize(2); states.rate = Krate;
+ code_param = ldpc_init_user(HRA, modulation='FSK', mod_order=states.M, mapping='gray');
+ states.coden = code_param.coded_bits_per_frame;
+ states.codek = code_param.data_bits_per_frame;
+
+ % set up AWGN noise
+ EcNodB = EbNodB + 10*log10(Krate);
+ EcNo = 10^(EcNodB/10);
+ variance = states.Fs/(states.Rs*EcNo*states.bitspersymbol);
+
+ data_bits = round(rand(1,code_param.data_bits_per_frame)); tx_bits = [];
+ for f=1:num_frames
+ codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
+ tx_bits = [tx_bits codeword_bits];
+ end
+
+ % modulator and AWGN channel
+ tx = fsk_mod(states, tx_bits);
+ noise = sqrt(variance/2)*randn(length(tx),1) + j*sqrt(variance/2)*randn(length(tx),1);
+ rx = tx + noise;
+
+ % freq estimator and demod
+ run_frames = floor(length(rx)/N)-1;
+ st = 1; f_log = []; rx_bits = []; rx_filt = [];
+ for f=1:run_frames
+
+ % extract nin samples from input stream
+ nin = states.nin;
+ en = st + states.nin - 1;
+
+ % due to nin variations it's possible to overrun buffer
+ if en < length(rx)
+ sf = rx(st:en);
+ states = est_freq(states, sf, states.M); states.f = states.f2;
+ [arx_bits states] = fsk_demod(states, sf);
+ rx_bits = [rx_bits arx_bits];
+ rx_filt = [rx_filt abs(states.f_int_resample)];
+ f_log = [f_log; states.f];
+ st += nin;
+ end
+ end
+
+ % count bit errors in test frames
+
+ num_frames=floor(length(rx_bits)/code_param.coded_bits_per_frame);
+ log_nerrs = []; num_frames_rx = 0; Tbits = Terrs = Tperr = Tpackets = 0;
+ uber = cber = 0.5; cper = 1;
+ for f=1:num_frames-1
+ st = (f-1)*code_param.coded_bits_per_frame + 1; en = (f+1)*code_param.coded_bits_per_frame;
+ states = ber_counter(states, codeword_bits, rx_bits(st:en));
+ log_nerrs = [log_nerrs states.nerr];
+ if states.ber_state num_frames_rx++; end
+
+ % Using sync provided by ber_counter() state machine for LDPC frame alignment
+ if states.ber_state
+ st_bit = (f-1)*code_param.coded_bits_per_frame + states.coarse_offset;
+ st_symbol = (st_bit-1)/states.bitspersymbol + 1;
+ en_symbol = st_symbol + code_param.coded_bits_per_frame/states.bitspersymbol - 1;
+ %printf("coded_bits: %d bps: %d st_bit: %d st_symbol: %d en_symbol: %d\n",
+ %code_param.coded_bits_per_frame, states.bitspersymbol, st_bit, st_symbol, en_symbol);
+
+ % map FSK filter ouputs to LLRs, then LDPC decode (see also fsk_cml_sam.m)
+ symL = DemodFSK(1/states.v_est*rx_filt(:,st_symbol:en_symbol), states.SNRest, 1);
+ llr = -Somap(symL);
+ [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, max_iterations=100, decoder_type=0, 1, 1);
+ Niters = sum(PCcnt~=0);
+ detected_data = x_hat(Niters,:);
+ Nerrs = sum(xor(data_bits, detected_data(1:code_param.data_bits_per_frame)));
+ Terrs += Nerrs;
+ Tbits += code_param.data_bits_per_frame;
+ if Nerrs Tperr++; end
+ Tpackets++;
+ end
+ end
+
+ if states.Terrs
+ printf("Fs: %d Rs: %d df % 3.2f EbNo: %4.2f ftx: %3d frx: %3d\n",Fs, Rs, df, EbNodB, num_frames, num_frames_rx);
+ uber = states.Terrs/states.Tbits; cber = Terrs/Tbits; cper = Tperr/Tpackets;
+ printf(" Uncoded: nbits: %6d nerrs: %6d ber: %4.3f\n", states.Tbits, states.Terrs, uber);
+ printf(" Coded..: nbits: %6d nerrs: %6d ber: %4.3f\n", Tbits, Terrs, cber);
+ printf(" Coded..: npckt: %6d perrs: %6d per: %4.3f\n", Tpackets, Tperr, cper);
+ end
+
+ if plots
+ figure(1); clf;
+ ideal=ones(length(f_log),1)*states.ftx;
+ plot((1:length(f_log)),ideal(:,1),'bk;ideal;')
+ hold on; plot((1:length(f_log)),ideal(:,2:states.M),'bk'); hold off;
+ hold on;
+ plot(f_log(:,1), 'linewidth', 2, 'b;peak;');
+ plot(f_log(:,2:states.M), 'linewidth', 2, 'b');
+ hold off;
+ xlabel('Time (frames)'); ylabel('Frequency (Hz)');
+ figure(2); clf; plot(log_nerrs); title('Errors per frame');
+ end
+
+end
+
+
+function freq_run_curve_peak_mask(HRA, num_frames=100)
+
+ EbNodB = 4:10;
+ m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
+ uber_log = []; cber_log = []; cper_log = [];
+ for ne = 1:length(EbNodB)
+ [states uber cber cper] = modem_run_test(HRA, EbNodB(ne), num_frames);
+ uber_log = [uber_log uber]; cber_log = [cber_log cber]; cper_log = [cper_log cper];
+ end
+
+ figure(1); clf;
+ EbNodB_raw = EbNodB+10*log10(states.rate)
+ semilogy(EbNodB_raw, m4fsk_ber_theory(round(EbNodB_raw+1)), 'linewidth', 2, 'bk+-;uber theory;');
+ grid; hold on;
+ semilogy(EbNodB_raw, uber_log+1E-12, 'linewidth', 2, '+-;uber;');
+ semilogy(EbNodB, cber_log+1E-12, 'linewidth', 2, 'r+-;cber;');
+ semilogy(EbNodB, cper_log+1E-12, 'linewidth', 2, 'c+-;cper;'); hold off;
+ xlabel('Eb/No (info bits, dB)'); ylabel('BER/PER'); axis([min(EbNodB_raw) max(EbNodB) 1E-4 1]);
+ title(sprintf("%dFSK rate %3.1f (%d,%d) Ncodewords=%d NCodewordBits=%d Fs=%d Rs=%d",
+ states.M, states.rate, states.coden, states.codek, num_frames, states.Tbits, states.Fs, states.Rs));
+ print("fsk_lib_ldpc.png", "-dpng")
+end
+
+% Choose simulation here ---------------------------------------------------
+
+init_cml('~/cml/');
+load H_256_512_4.mat; HRA=H;
+more off;
+
+% single point
+[states uber cber cper] = modem_run_test(HRA, EbNodB=8);
+if cber == 0
+ printf("PASS\n");
+end
+
+% curve
+%freq_run_curve_peak_mask(HRA, 200)
diff --git a/libcodec2-android/src/codec2/octave/fsk_lib_ldpc_rx.m b/libcodec2-android/src/codec2/octave/fsk_lib_ldpc_rx.m
new file mode 100644
index 0000000..b78c065
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_lib_ldpc_rx.m
@@ -0,0 +1,102 @@
+% fsk_lib_ldpc_rx.m
+%
+% LDPC coded 4FSK modem rx, reads 8 kHz 16 bit short raw file of real samples and demodulates
+
+function fsk_lib_ldpc_rx(filename, Rs=100, coderate=0.5)
+ fsk_lib_ldpc;
+
+ % set up LDPC code
+ init_cml('~/cml/');
+ if coderate == 0.5
+ load H_256_512_4.mat;
+ elseif coderate == 0.75
+ load HRAa_1536_512.mat; H=HRA;
+ else
+ disp("unknown code rate");
+ end
+ [states code_param] = fsk_lib_ldpc_init (H, Rs, Fs=8000);
+ n = code_param.coded_bits_per_frame; k = code_param.data_bits_per_frame;
+
+ % known transmitted bits for BER estimation
+ rand('seed',1);
+ data_bits = round(rand(1,code_param.data_bits_per_frame));
+ codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
+
+ frx=fopen(filename,"rb"); rx = fread(frx, Inf, "short"); fclose(frx);
+
+ % freq estimator and demod
+ run_frames = floor(length(rx)/states.N)-1;
+ st = 1; f_log = []; rx_bits = []; rx_filt = []; SNRest_log = []; rx_timing_log = [];
+ for f=1:run_frames
+
+ % extract nin samples from input stream
+ nin = states.nin;
+ en = st + states.nin - 1;
+
+ % due to nin variations it's possible to overrun buffer
+ if en < length(rx)
+ sf = rx(st:en);
+ states = est_freq(states, sf, states.M); states.f = states.f2;
+ [arx_bits states] = fsk_demod(states, sf);
+ rx_bits = [rx_bits arx_bits];
+ rx_filt = [rx_filt abs(states.f_int_resample)];
+ f_log = [f_log; states.f];
+ SNRest_log = [SNRest_log states.SNRest];
+ rx_timing_log = [rx_timing_log states.norm_rx_timing];
+ st += nin;
+ end
+ end
+
+ % count bit errors in test frames
+
+ num_frames=floor(length(rx_bits)/code_param.coded_bits_per_frame);
+ log_nerrs = []; num_frames_rx = 0; Tbits = Terrs = Tperr = Tpackets = 0;
+ uber = cber = 0.5; cper = 1;
+ for f=1:num_frames-1
+ st = (f-1)*code_param.coded_bits_per_frame + 1; en = (f+1)*code_param.coded_bits_per_frame;
+ states = ber_counter(states, codeword_bits, rx_bits(st:en));
+ log_nerrs = [log_nerrs states.nerr];
+ if states.ber_state num_frames_rx++; end
+
+ % Using sync provided by ber_counter() state machine for LDPC frame alignment
+ if states.ber_state
+ st_bit = (f-1)*code_param.coded_bits_per_frame + states.coarse_offset;
+ st_symbol = (st_bit-1)/states.bitspersymbol + 1;
+ en_symbol = st_symbol + code_param.coded_bits_per_frame/states.bitspersymbol - 1;
+
+ % map FSK filter ouputs to LLRs, then LDPC decode (see also fsk_cml_sam.m)
+ symL = DemodFSK(1/states.v_est*rx_filt(:,st_symbol:en_symbol), states.SNRest, 1);
+ llr = -Somap(symL);
+ [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, max_iterations=100, decoder_type=0, 1, 1);
+ Niters = sum(PCcnt~=0);
+ detected_data = x_hat(Niters,:);
+ Nerrs = sum(xor(data_bits, detected_data(1:code_param.data_bits_per_frame)));
+ Terrs += Nerrs;
+ Tbits += code_param.data_bits_per_frame;
+ if Nerrs Tperr++; end
+ Tpackets++;
+ end
+ end
+
+ SNRestdB_log = 10*log10(SNRest_log);
+ if states.Tbits
+ printf("Fs: %d Rs: %d rate %4.2f (%d,%d) frames received: %3d SNRav: %4.2f\n",
+ Fs, Rs, coderate, n, k, num_frames_rx, mean(SNRestdB_log));
+ uber = states.Terrs/states.Tbits; cber = Terrs/Tbits; cper = Tperr/Tpackets;
+ printf(" Uncoded: nbits: %6d nerrs: %6d ber: %4.3f\n", states.Tbits, states.Terrs, uber);
+ printf(" Coded..: nbits: %6d nerrs: %6d ber: %4.3f\n", Tbits, Terrs, cber);
+ printf(" Coded..: npckt: %6d perrs: %6d per: %4.3f\n", Tpackets, Tperr, cper);
+ else
+ printf("No frames detected....\n");
+ end
+
+ figure(1); clf; subplot(211); plot(rx); axis([1 length(rx) -32767 32767]); subplot(212); plot_specgram(rx);
+ figure(2); clf;
+ subplot(211); plot(f_log); axis([1 length(f_log) states.fest_fmin states.fest_fmax]); ylabel('Tone Freq (Hz)');
+ subplot(212); plot(rx_timing_log); axis([1 length(rx_timing_log) -0.5 0.5]); ylabel('Timing');
+ figure(3); clf;
+ mx_SNRestdB = 5*ceil(max(SNRestdB_log)/5);
+ subplot(211); plot(SNRestdB_log); axis([1 length(SNRestdB_log) 0 mx_SNRestdB]); ylabel('SNRest (dB)');
+ subplot(212); stem(log_nerrs); ylabel('Uncoded errors');
+end
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_lib_ldpc_tx.m b/libcodec2-android/src/codec2/octave/fsk_lib_ldpc_tx.m
new file mode 100644
index 0000000..7858bd9
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_lib_ldpc_tx.m
@@ -0,0 +1,44 @@
+% fsk_lib_ldpc_tx.m
+%
+% LDPC coded 4FSK modem tx, generates a 8 kHz 16 bit short real valued sample file
+
+function fsk_lib_ldpc_tx(filename, num_frames=10, Rs=100, coderate=0.5, EbNodB=100)
+ fsk_lib_ldpc;
+
+ % set up LDPC code
+ init_cml('~/cml/');
+ if coderate == 0.5
+ load H_256_512_4.mat;
+ elseif coderate == 0.75
+ load HRAa_1536_512.mat; H=HRA;
+ else
+ disp("unknown code rate");
+ end
+ [states code_param] = fsk_lib_ldpc_init (H, Rs, Fs=8000);
+ n = code_param.coded_bits_per_frame; k = code_param.data_bits_per_frame;
+
+ rand('seed',1);
+ data_bits = round(rand(1,code_param.data_bits_per_frame)); tx_bits = [];
+ for f=1:num_frames
+ codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
+ tx_bits = [tx_bits codeword_bits];
+ end
+
+ tx = fsk_mod(states, tx_bits);
+
+ % set up (optional) AWGN noise
+ EcNodB = EbNodB + 10*log10(states.rate);
+ EcNo = 10^(EcNodB/10);
+ variance = states.Fs/(states.Rs*EcNo*states.bitspersymbol);
+
+ % note real noise
+ noise = sqrt(variance/2)*randn(length(tx),1);
+ rx = tx + noise;
+
+ frx=fopen(filename,"wb"); fwrite(frx, states.amp_scale*rx, "short"); fclose(frx);
+ printf("Fs: %d Rs: %d rate %4.2f (%d,%d) EbNodB: %3.1f EcNodB: %3.1f frames transmitted: %3d\n",
+ Fs, Rs, coderate, n, k, EbNodB, EcNodB, num_frames);
+end
+
+
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_llr_plot.m b/libcodec2-android/src/codec2/octave/fsk_llr_plot.m
new file mode 100644
index 0000000..f1b1a9f
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_llr_plot.m
@@ -0,0 +1,51 @@
+% Plot some results from FSK LLR tests
+% Assume array "res" contains rows of simulation results:::
+% Eb Ec M Ltype Nbits Nerr BERraw
+% (some uncoded rows might contain -1 to indicate val is not applicable)
+
+figure(102); clf; hold on;
+
+%uncoded results
+sub = res(res(:,4)==-1 & res(:,3)==2, :)
+semilogy(sub(:,1), sub(:,7), 'k+--')
+sub = res(res(:,4)==-1 & res(:,3)==4, :)
+semilogy(sub(:,1), sub(:,7), 'k--')
+
+leg=[];
+% coded results
+for M = [2 4 ]
+
+if M==2, lt = '-+'; else lt='-x'; end
+
+ sub = res(res(:,4)==1 & res(:,3)==M, :)
+ if length(sub)>0,
+ semilogy(sub(:,1), sub(:,6)./sub(:,5), ['k' lt])
+ leg= [leg; 'Orig LLRs'];
+ end
+
+
+sub = res(res(:,4)==2 & res(:,3)==M, :)
+if length(sub)>0,
+ semilogy(sub(:,1), sub(:,6)./sub(:,5), ['g' lt])
+ leg= [leg; ' PDF LLRs'];
+end
+
+sub = res(res(:,4)==3 & res(:,3)==M, :)
+if length(sub)>0
+ semilogy(sub(:,1), sub(:,6)./sub(:,5), ['b' lt])
+ leg= [leg; ' HD LLRs'];
+end
+
+sub = res(res(:,4)==4 & res(:,3)==M, :)
+semilogy(sub(:,1), sub(:,6)./sub(:,5), ['m' lt])
+leg= [leg; ' CML LLRs'];
+endfor
+
+ylabel('BER')
+xlabel('Eb/N0 (Info Bits; dB)')
+ title('MFSK LLR test (+is 2FSK, xis 4FSK')
+ legend(leg)
+ legend('boxoff');
+
+if exist('plotname'), print -dpng plotname; disp('saved'); end
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_llr_test.m b/libcodec2-android/src/codec2/octave/fsk_llr_test.m
new file mode 100644
index 0000000..2b61ffc
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_llr_test.m
@@ -0,0 +1,294 @@
+% fsk_llr_test.m
+%
+% 2/4FSK simulation to develop LLR estimation algorithms for 4FSK/LDPC modems
+% Modified version of David's fsk_llr.m; Bill
+
+#{
+ TODO
+ The 'v' param of the Ricean pdf is the signal-only amplitude: genie value=16
+ In practice, given varying input levels, this value needs to be estimated.
+
+ A small scaling factor seems to improve 2FSK performance -- probably the 'sig'
+ estimate can be improved.
+
+ Only tested with short code -- try a longer one!
+
+ Simulation should be updated to exit Eb after given Nerr reached
+
+#}
+
+ldpc;
+
+% define Rician pdf
+function y = rice(x,v,s)
+ s2 = s*s;
+ y = (x / s2) .* exp(-0.5 * (x.^2 + v.^2)/s2) .* besseli(0, x*v/s2);
+endfunction
+
+function plot_pdf(v,s)
+ x=(0:0.1:2*v);
+ y= rice(x, v, s);
+ figure(201); hold on
+ plot(x,y,'g');
+ %title('Rician pdf: signal carrier')
+ y= rice(x, 0, s);
+ plot(x,y,'b');
+ title('Rician pdf: signal and noise-only carriers')
+ pause(0.01);
+endfunction
+
+% single Eb/No point simulation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+function [raw_ber rx_filt rx_bits tx_symbols demapper sig_est ] = run_single(tx_bits, M, EcNodB, plt=0)
+ % Ec/N0 is per channel bit
+ bps = log2(M); % bits per symbol
+ Ts = 16; % length of each symbol in samples
+
+ if length(tx_bits)==1
+ Nbits = tx_bits;
+ tx_bits = randi(2,1,Nbits)-1; % make random bits
+ endif
+
+ Nbits = length(tx_bits);
+ Nsymbols = Nbits/log2(M);
+ tx_symbols = zeros(1,Nsymbols);
+
+ mapper = bps:-1:1;
+ % look up table demapper from symbols to bits (hard decision)
+ demapper=zeros(M,bps);
+ for m=1:M
+ for b=1:bps
+ if bitand(m-1,b) demapper(m,bps-b+1) = 1; end
+ end
+ end
+
+ % continuous phase mFSK modulator
+
+ w(1:M) = 2*pi*(1:M)/Ts;
+ tx_phase = 0;
+ tx = zeros(1,Ts*Nsymbols);
+
+ for s=1:Nsymbols
+ bits_for_this_symbol = tx_bits(bps*(s-1)+1:bps*s);
+ symbol_index = bits_for_this_symbol * mapper' + 1;
+ tx_symbols(s) = symbol_index;
+ assert(demapper(symbol_index,:) == bits_for_this_symbol);
+ for k=1:Ts
+ tx_phase += w(symbol_index);
+ tx((s-1)*Ts+k) = exp(j*tx_phase);
+ end
+ end
+
+ % AWGN channel noise
+
+
+ EsNodB = EcNodB + 10*log10(bps)
+ EsNo = 10^(EsNodB/10);
+ variance = Ts/EsNo;
+ noise = sqrt(variance/2)*(randn(1,Nsymbols*Ts) + j*randn(1,Nsymbols*Ts));
+ rx = tx + noise;
+
+ if plt==2, % check the Spectrum
+ [psd,Fpsd] =pwelch(rx,128,0.5,128,Ts);
+ figure(110); plot(Fpsd,10*log10(psd));
+ title('Rx Signal: PSD ');
+ xlabel('Freq/Rs');
+ %figure(111);plot(unwrap(arg(tx)));
+ pause(0.01);
+ endif
+
+
+ % integrate and dump demodulator
+
+ rx_bits = zeros(1,Nbits);
+ rx_filt = zeros(Nsymbols,M);
+ rx_pows = zeros(1,M);
+ rx_nse_pow = 0.0; rx_sig_pow =0.0;
+ for s=1:Nsymbols
+ arx_symb = rx((s-1)*Ts + (1:Ts));
+ for m=1:M
+ r= sum(exp(-j*w(m)*(1:Ts)) .* arx_symb);
+ rx_pows(m)= r * conj(r);
+ rx_filt(s,m) = abs(r);
+ end
+ [tmp symbol_index] = max(rx_filt(s,:));
+ rx_sig_pow = rx_sig_pow + rx_pows(symbol_index);
+ rx_pows(symbol_index)=[];
+ rx_nse_pow = rx_nse_pow + sum(rx_pows)/(M-1);
+ rx_bits(bps*(s-1)+1:bps*s) = demapper(symbol_index,:);
+ end
+ % using Rxpower = v^2 + sigmal^2
+
+ rx_sig_pow = rx_sig_pow/Nsymbols;
+ rx_nse_pow = rx_nse_pow/Nsymbols;
+ sig_est = sqrt(rx_nse_pow/2) % for Rayleigh: 2nd raw moment = 2 .sigma^2
+ Kest = rx_sig_pow/(2.0*sig_est^2) -1.0
+
+ Nerrors = sum(xor(tx_bits, rx_bits));
+ raw_ber = Nerrors/Nbits;
+ printf("EcNodB: %4.1f M: %2d Uncoded Nbits: %5d Nerrors: %4d (Raw) BER: %1.3f\n", ...
+ EcNodB, M, Nbits, Nerrors, raw_ber);
+ if plt==1, plot_hist(rx_filt,tx_symbols, M); end
+
+endfunction
+
+
+% Plot histograms of Rx filter outputs
+function plot_hist(rx_filt,tx_symbols, M)
+ % more general version of previous fn; - plots histograms for any Tx patterns
+ Smax = 36;
+ X = 0:Smax-1;
+ H = zeros(1,Smax); H2 = zeros(1,Smax); s2=0.0;
+ for m = 1:M
+ ind = tx_symbols==m;
+ ind2 = tx_symbols~=m;
+ H= H+ hist(rx_filt(ind,m),X);
+ H2= H2+ hist(rx_filt(ind2,m),X);
+ x=rx_filt(ind2,m);
+ s2 =s2 + sum(x(:).^2)/length(x);
+ end
+ disp('noise RMS is '); sqrt(s2/4)
+ figure(1); clf; plot(X,H);
+ title([num2str(M) 'FSK pdf for rx=tx symbol'])
+ figure(2); clf; plot(X,H2);
+ title([num2str(M) 'FSK pdf for rx!=tx symbol'])
+ pause(0.1);
+
+endfunction
+
+% 2FSK SD -> LLR mapping that we used for Wenet SSTV system
+function llr = sd_to_llr(sd, HD=0) % original 2FSK + HD option
+ sd = sd / mean(abs(sd));
+ x = sd - sign(sd);
+ sumsq = sum(x.^2);
+ summ = sum(x);
+ mn = summ/length(sd);
+ estvar = sumsq/length(sd) - mn*mn;
+ estEsN0 = 1/(2* estvar + 1E-3);
+ if HD==0,
+ llr = 4 * estEsN0 * sd;
+ else
+ llr = 4 * estEsN0 * sign(sd);
+ endif
+endfunction
+
+
+% single point LDPC encoded frame simulation, usin 2FSK as a tractable starting point
+% Note: ~/cml/matCreateConstellation.m has some support for FSK - can it do 4FSK?
+
+%%%%%%%%%%%%%%%%%%%%%%%%%
+ function [Nerrors raw_ber EcNodB] = run_single_ldpc(M, Ltype, Nbits,EbNodB, plt=0)
+
+ disp([num2str(M) 'FSK coded test ... '])
+ if M==2
+ bps = 1; modulation = 'FSK'; mod_order=2; mapping = 'gray';
+ elseif M==4
+ bps = 2; modulation = 'FSK'; mod_order=4; mapping = 'gray';
+ else
+ error('sorry - bad value of M!');
+ endif
+ decoder_type = 0; max_iterations = 100;
+
+ load H_256_768_22.txt
+ Krate = 1/3;
+ EcNodB = EbNodB + 10*log10(Krate);
+ code_param = ldpc_init_user(H_256_768_22, modulation, mod_order, mapping);
+ Nframes = floor(Nbits/code_param.data_bits_per_frame)
+ Nbits = Nframes*code_param.data_bits_per_frame
+
+ % Encoder
+ data_bits = round(rand(1,code_param.data_bits_per_frame));
+ tx_bits = [];
+ for f=1:Nframes;
+ codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
+ tx_bits = [tx_bits codeword_bits];
+ end
+ %tx_bits = zeros(1,length(tx_bits));
+
+ % modem/channel simulation
+ [raw_ber rx_filt rx_bits tx_symbols demapper sig_est ] = run_single(tx_bits,M,EcNodB, 0 );
+
+ % Decoder
+ Nerrors = 0;
+ for f=1:Nframes
+ st = (f-1)*code_param.coded_bits_per_frame/bps + 1;
+ en = st + code_param.coded_bits_per_frame/bps - 1;
+
+ if or(Ltype==1, Ltype==3)
+ if bps==1,
+ sd = rx_filt(st:en,1) - rx_filt(st:en,2);
+ % OR ind = rx_filt(st:en,1) > rx_filt(st:en,2);
+ % llr = ind'*2 -1; % this works but use SNR scaling
+ if Ltype==3, HD=1; else, HD = 0; endif
+ llr = sd_to_llr(sd, HD)';
+ endif
+ if bps==2,
+ if Ltype==3,
+ llr = mfsk_hd_to_llrs(rx_filt(st:en,:), demapper);
+ else
+ error('Ltype =1 not provided for coded 4FSK');
+ endif
+ endif
+ endif
+ if Ltype==2, % SDs are converted to LLRs
+ v=16;
+ if plt==1, plot_pdf(v, sig_est); endif
+ llr = mfsk_sd_to_llrs(rx_filt(st:en,:), demapper, v, sig_est);
+ endif
+
+ [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, ...
+ max_iterations, decoder_type, 1, 1);
+ Niters = sum(PCcnt!=0);
+ detected_data = x_hat(Niters,:);
+ Nerrors += sum(xor(data_bits, detected_data(1:code_param.data_bits_per_frame)));
+ endfor
+ ber = Nerrors/Nbits;
+ printf("EbNodB: %4.1f Coded Nbits: %5d Nerrors: %4d BER: %1.3f\n", EbNodB, Nbits, Nerrors, ber);
+endfunction
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%rand('seed',1);
+%randn('seed',1);
+format short
+more off
+init_cml('~/cml/');
+
+% store results in array "res" and plot afterwards
+% comment the following line if you want to retain prev sims
+nrun = 0; clear res;
+
+Nbits = 20000; plt=0;
+
+#{
+disp(' uncoded runs')
+for M= [2 4]
+for Eb = [6:10]
+ raw_ber = run_single(Nbits, M, Eb, plt) % 2fsk coded
+ nrun = nrun+1; res(nrun,:) = [Eb Eb M -1 Nbits -1 raw_ber]
+endfor
+endfor
+#}
+
+disp(' coded runs ');
+
+M=2,
+for Ltype = [1 2 3]
+for Eb = [7: 0.5: 9]
+ [Nerr raw_ber Ec] = run_single_ldpc(M, Ltype, Nbits, Eb, plt)
+ nrun = nrun+1; res(nrun,:) = [Eb Ec M Ltype Nbits Nerr raw_ber]
+endfor
+endfor
+
+M=4, %v=16;
+for Ltype = [2 3]
+for Eb = [8.0 8.3 8.6 ]
+ [Nerr raw_ber Ec] = run_single_ldpc(M, Ltype, Nbits, Eb, plt)
+ nrun = nrun+1; res(nrun,:) = [Eb Ec M Ltype Nbits Nerr raw_ber]
+endfor
+endfor
+
+
+date = datestr(now)
+save 'mfsk_test_res.mat' res date
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_lock_down.m b/libcodec2-android/src/codec2/octave/fsk_lock_down.m
new file mode 100644
index 0000000..65129a7
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_lock_down.m
@@ -0,0 +1,393 @@
+% fsk_lock_down.m
+% David Rowe April 2020
+%
+% tests for "Lock down" waveform, low Eb/No 4FSK
+
+fsk_lib;
+
+% "Genie" (ie perfect) timing estimate, we just want to see impact on BER from frequency est errors
+function rx_bits = simple_fsk_demod(states, rx, f)
+ M = states.M; Ts = states.Ts; Fs = states.Fs; N = states.nin;
+
+ nsymb = states.nin/states.Ts;
+ rx_filter = zeros(states.nin,M);
+ rx_symbols = zeros(nsymb,M);
+
+ % Down convert each tone. We can use any time index for down
+ % conversion as it's non-coherent
+ for m=1:M
+ phase = exp(-j*2*pi*(1:N)'*f(m)/Fs);
+ rx_filter(:,m) = rx .* phase;
+ end
+
+ % sum energy for each symbol
+ for s=1:nsymb
+ st_sym = (s-1)*Ts+1; en_sym = s*Ts;
+ for m=1:M
+ rx_symbols(s,m) = sum(rx_filter(st_sym:en_sym,m));
+ end
+ end
+
+ % map symbols back to bits
+ rx_bits = [];
+ for s=1:nsymb
+ [tone_max tone_index] = max(rx_symbols(s,:));
+ arx_bits = dec2bin(tone_index - 1, states.bitspersymbol) - '0';
+ rx_bits = [rx_bits arx_bits];
+ end
+
+end
+
+% set up "lock down" waveform
+function [states M bits_per_frame] = lock_down_init(Rs,Fs,df,tx_tone_separation=250)
+ M = 4;
+ states = fsk_init(Fs,Rs,M,P=8,nsym=100);
+ bits_per_frame = 512;
+ states.tx_real = 0; % complex signal
+ states.tx_tone_separation = tx_tone_separation;
+ states.ftx = -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
+ states.fest_fmin = -Fs/2;
+ states.fest_fmax = +Fs/2;
+ states.df = df;
+
+ % cumulative PDF, cdf(x) probability of 0....x errors in frame
+ cdf = binocdf(1:bits_per_frame, bits_per_frame, 0.3);
+ % our valid frame threshold is 50% probability, so if we get this many errors
+ % we have a 50% chance it's a valid frame
+ nerrs_valid = find(cdf>=0.5)(1);
+ % our invalid frame threshold is 99% probability, so very unlikley to
+ % get this many errors
+ nerrs_invalid = find(cdf>=0.99)(1);
+ states.ber_valid_thresh = nerrs_valid/bits_per_frame;
+ states.ber_invalid_thresh = nerrs_invalid/bits_per_frame;
+end
+
+% run a test at an Eb/No point, measure how many dud freq estimates using both algorithms
+function [states f_log f_log2 num_dud1 num_dud2 ber ber2] = freq_run_test(EbNodB = 10, num_frames=10, Fs=8000, Rs=100, df=0)
+ [states M bits_per_frame] = lock_down_init(Rs,Fs,df);
+ N = states.N;
+
+ EbNo = 10^(EbNodB/10);
+ variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+ nbits = bits_per_frame*num_frames;
+ tx_bits = round(rand(1,nbits));
+ tx = fsk_mod(states, tx_bits);
+ noise = sqrt(variance/2)*randn(length(tx),1) + j*sqrt(variance/2)*randn(length(tx),1);
+ rx = tx + noise;
+ run_frames = floor(length(rx)/N)-1;
+ st = 1; f_log = []; f_log2 = []; rx_bits = []; rx_bits2 = [];
+ for f=1:run_frames
+
+ % extract nin samples from input stream
+ nin = states.nin;
+ en = st + states.nin - 1;
+
+ % due to nin variations it's possible to overrun buffer
+ if en < length(rx)
+ sf = rx(st:en);
+ states = est_freq(states, sf, states.M);
+ arx_bits = simple_fsk_demod(states, sf, states.f);
+ rx_bits = [rx_bits arx_bits];
+ arx_bits = simple_fsk_demod(states, sf, states.f2);
+ rx_bits2 = [rx_bits2 arx_bits];
+ f_log = [f_log; states.f]; f_log2 = [f_log2; states.f2];
+ st += nin;
+ end
+ end
+
+ % ignore start up transient
+ startup = 1; % TODO make this sensible/proportional so its scales across Rs
+ if num_frames > startup
+ tx_bits = tx_bits(startup*bits_per_frame:end);
+ rx_bits = rx_bits(startup*bits_per_frame:end);
+ rx_bits2 = rx_bits2(startup*bits_per_frame:end);
+ end
+
+ % measure BER
+ nerrors = sum(xor(tx_bits(1:length(rx_bits)),rx_bits)); ber = nerrors/nbits;
+ nerrors2 = sum(xor(tx_bits(1:length(rx_bits2)),rx_bits2)); ber2 = nerrors2/nbits;
+
+ % Lets say that for a valid freq estimate, all four tones must be within 0.1*Rs of their tx freqeuncy
+ num_dud1 = 0; num_dud2 = 0;
+ for i=1:length(f_log)
+ if sum(abs(f_log(i,:)-states.ftx) > 0.1*states.Rs)
+ num_dud1++;
+ end
+ if sum(abs(f_log2(i,:)-states.ftx) > 0.1*states.Rs)
+ num_dud2++;
+ end
+ end
+end
+
+function freq_run_single(EbNodB = 3, num_frames = 10)
+ [states f_log f_log2 num_dud1 num_dud2 ber ber2] = freq_run_test(EbNodB, num_frames);
+
+ percent_dud1 = 100*num_dud1/length(f_log);
+ percent_dud2 = 100*num_dud2/length(f_log);
+ printf("EbNodB: %4.2f dB tests: %3d duds1: %3d %5.2f %% duds2: %3d %5.2f %% ber1: %4.3f ber2: %4.3f\n",
+ EbNodB, length(f_log), num_dud1, percent_dud1, num_dud2, percent_dud2, ber, ber2)
+
+ figure(1); clf;
+ ideal=ones(length(f_log),1)*states.ftx;
+ plot((1:length(f_log)),ideal(:,1),'bk;ideal;')
+ hold on; plot((1:length(f_log)),ideal(:,2:states.M),'bk'); hold off;
+ hold on;
+ plot(f_log(:,1), 'linewidth', 2, 'b;peak;');
+ plot(f_log(:,2:states.M), 'linewidth', 2, 'b');
+ plot(f_log2(:,1),'linewidth', 2, 'r;mask;');
+ plot(f_log2(:,2:states.M),'linewidth', 2, 'r');
+ hold off;
+ xlabel('Time (frames)'); ylabel('Frequency (Hz)');
+ title(sprintf("EbNo = %4.2f dB", EbNodB));
+ print("fsk_freq_est_single.png", "-dpng")
+
+ figure(2); clf;
+ errors = (f_log - states.ftx)(:);
+ ind = find(abs(errors) < 100);
+ errors2 = (f_log2 - states.ftx)(:);
+ ind2 = find(abs(errors2) < 100);
+ if length(ind)
+ subplot(211); hist(errors(ind),50)
+ end
+ if length(ind2)
+ subplot(212); hist(errors2(ind2),50)
+ end
+end
+
+
+% test peak and mask algorthms side by side
+function freq_run_curve_peak_mask
+
+ EbNodB = 0:9;
+ m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
+ percent_log = []; ber_log = [];
+ for ne = 1:length(EbNodB)
+ [states f_log f_log2 num_dud1 num_dud2 ber ber2] = freq_run_test(EbNodB(ne), 10);
+ percent_dud1 = 100*num_dud1/length(f_log);
+ percent_dud2 = 100*num_dud2/length(f_log);
+ percent_log = [percent_log; [percent_dud1 percent_dud2]];
+ ber_log = [ber_log; [ber ber2]];
+ printf("EbNodB: %4.2f dB tests: %3d duds1: %3d %5.2f %% duds2: %3d %5.2f %% ber1: %4.3f ber2: %4.3f\n",
+ EbNodB(ne), length(f_log), num_dud1, percent_dud1, num_dud2, percent_dud2, ber, ber2)
+ end
+
+ figure(1); clf; plot(EbNodB, percent_log(:,1), 'linewidth', 2, '+-;peak;'); grid;
+ hold on; plot(EbNodB, percent_log(:,2), 'linewidth', 2, 'r+-;mask;'); hold off;
+ xlabel('Eb/No (dB)'); ylabel('% Errors');
+ title(sprintf("Fs = %d Rs = %d df = %3.2f", states.Fs, states.Rs, states.df));
+ print("fsk_freq_est_errors.png", "-dpng")
+
+ figure(2); clf; semilogy(EbNodB, m4fsk_ber_theory, 'linewidth', 2, 'bk+-;theory;'); grid;
+ hold on; semilogy(EbNodB, ber_log(:,1), 'linewidth', 2, '+-;peak;');
+ semilogy(EbNodB, ber_log(:,2), 'linewidth', 2, 'r+-;mask;'); hold off;
+ xlabel('Eb/No (dB)'); ylabel('BER');
+ title(sprintf("Fs = %d Rs = %d df = %3.2f", states.Fs, states.Rs, states.df));
+ print("fsk_freq_est_ber.png", "-dpng")
+end
+
+
+function freq_run_curve_mask(Fs,Rs)
+ EbNodB = 0:9;
+ m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
+ figure(1); clf; semilogy(EbNodB, m4fsk_ber_theory, 'linewidth', 2, 'bk+-;theory;'); grid;
+ xlabel('Eb/No (dB)'); ylabel('BER');
+ title(sprintf("Mask: Fs = %d Hz Rs = %d Hz", Fs, Rs));
+ hold on;
+
+ for df=-0.01:0.01:0.01
+ ber_log = [];
+ for ne = 1:length(EbNodB)
+ [states f_log f_log2 num_dud1 num_dud2 ber ber2] = freq_run_test(EbNodB(ne), 100, Fs, Rs, df*Rs);
+ ber_log = [ber_log; [ber ber2]];
+ printf("Fs: %d Rs: %d df %3.2f EbNodB: %4.2f dB tests: %3d ber: %4.3f\n",
+ Fs, Rs, df, EbNodB(ne), length(f_log), ber2)
+ end
+ semilogy(EbNodB, ber_log(:,2), 'linewidth', 2, sprintf("+-;df=% 3.2f Hz/s;",df*Rs));
+ end
+ hold off;
+ print(sprintf("fsk_freq_est_ber_%d_%d.png",Fs,Rs), "-dpng")
+end
+
+
+% Run a complete modem (freq and timing estimators running) at a
+% single Eb/No point. At low Eb/No the estimators occasionally fall
+% over so we get complete junk, we consider that case a packet error
+% and exclude it from the BER estimation.
+
+function [states ber per] = modem_run_test(EbNodB = 10, num_frames=10, Fs=8000, Rs=100, df=0, plots=0, spreadHz=0,tx_tone_separation=250)
+ [states M bits_per_frame] = lock_down_init(Rs, Fs, df, tx_tone_separation);
+ N = states.N;
+ if plots; states.verbose = 0x4; end
+ EbNo = 10^(EbNodB/10);
+ variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+ nbits = bits_per_frame*num_frames;
+ test_frame = round(rand(1,bits_per_frame)); tx_bits = [];
+ for f=1:num_frames
+ tx_bits = [tx_bits test_frame];
+ end
+
+ tx = fsk_mod(states, tx_bits);
+ noise = sqrt(variance/2)*randn(length(tx),1) + j*sqrt(variance/2)*randn(length(tx),1);
+ if spreadHz
+ % just use phase part of doppler spread, not interested in amplitude fading
+ spread = doppler_spread(spreadHz, Fs, round(1.1*length(tx)));
+ spread = exp(j*arg(spread(1:length(tx))));
+ rx = tx.*rot90(spread) + noise;
+ else
+ rx = tx + noise;
+ end
+ run_frames = floor(length(rx)/N)-1;
+ st = 1; f_log = []; f_log2 = []; rx_bits = []; rx_bits2 = [];
+ for f=1:run_frames
+
+ % extract nin samples from input stream
+ nin = states.nin;
+ en = st + states.nin - 1;
+
+ % due to nin variations it's possible to overrun buffer
+ if en < length(rx)
+ sf = rx(st:en);
+ states = est_freq(states, sf, states.M); states.f = states.f2;
+ [arx_bits states] = fsk_demod(states, sf);
+ rx_bits = [rx_bits arx_bits];
+ f_log = [f_log; states.f];
+ st += nin;
+ end
+ end
+
+ num_frames=floor(length(rx_bits)/bits_per_frame);
+ log_nerrs = []; num_frames_rx = 0;
+ for f=1:num_frames-1
+ st = (f-1)*bits_per_frame + 1; en = (f+1)*bits_per_frame;
+ states = ber_counter(states, test_frame, rx_bits(st:en));
+ log_nerrs = [log_nerrs states.nerr];
+ if states.ber_state; num_frames_rx++; end
+ end
+ if states.Terrs
+ printf("Fs: %d Rs: %d df % 3.2f sp: %2.1f EbNo: %4.2f ftx: %3d frx: %3d nbits: %4d nerrs: %3d ber: %4.3f\n",
+ Fs, Rs, df, spreadHz, EbNodB, num_frames, num_frames_rx, states.Tbits, states.Terrs, states.Terrs/states.Tbits);
+ ber = states.Terrs/states.Tbits;
+ else
+ ber = 0.5;
+ end
+
+ if plots
+ figure(1); clf;
+ ideal=ones(length(f_log),1)*states.ftx;
+ plot((1:length(f_log)),ideal(:,1),'bk;ideal;')
+ hold on; plot((1:length(f_log)),ideal(:,2:states.M),'bk'); hold off;
+ hold on;
+ plot(f_log(:,1), 'linewidth', 2, 'b;peak;');
+ plot(f_log(:,2:states.M), 'linewidth', 2, 'b');
+ hold off;
+ xlabel('Time (frames)'); ylabel('Frequency (Hz)');
+ figure(2); clf; plot(log_nerrs); title('Errors per frame');
+ end
+
+ per = 1 - num_frames_rx/num_frames;
+end
+
+
+% run BER v Eb/No curves over a range of frequency rate/change
+function modem_run_curve(Fs, Rs, num_frames=100, dfmax=0.01)
+ EbNodB = 0:9;
+ m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
+ figure(1); clf; semilogy(EbNodB, m4fsk_ber_theory, 'linewidth', 2, 'bk+-;theory;'); grid;
+ xlabel('Eb/No (dB)'); ylabel('BER');
+ title(sprintf("Mask: Fs = %d Hz Rs = %d Hz", Fs, Rs)); hold on;
+ figure(2); clf;
+ xlabel('Eb/No (dB)'); ylabel('PER'); title(sprintf("Mask: Fs = %d Hz Rs = %d Hz", Fs, Rs));
+ grid; axis([min(EbNodB) max(EbNodB) 0 1]); hold on;
+
+ for df=-dfmax:dfmax:dfmax
+ ber_log = []; per_log = [];
+ for ne = 1:length(EbNodB)
+ [states ber per] = modem_run_test(EbNodB(ne), num_frames, Fs, Rs, df*Rs);
+ ber_log = [ber_log; ber]; per_log = [per_log; per];
+ end
+ figure(1); semilogy(EbNodB, ber_log, 'linewidth', 2, sprintf("+-;df=% 3.2f Hz/s;",df*Rs));
+ figure(2); plot(EbNodB, per_log, 'linewidth', 2, sprintf("+-;df=% 3.2f Hz/s;",df*Rs));
+ end
+
+ figure(1); hold off; print(sprintf("fsk_modem_ber_%d_%d.png",Fs,Rs), "-dpng")
+ figure(2); hold off; print(sprintf("fsk_modem_per_%d_%d.png",Fs,Rs), "-dpng")
+end
+
+% run BER v Eb/No curve with some phase noise spreading the energy of the tones in frequency
+function modem_run_curve_spread(Fs, Rs, num_frames=100)
+ EbNodB = 0:9;
+ m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
+ figure(1); clf; semilogy(EbNodB, m4fsk_ber_theory, 'linewidth', 2, 'bk+-;theory;'); grid;
+ xlabel('Eb/No (dB)'); ylabel('BER');
+ title(sprintf("Spread: Fs = %d Hz Rs = %d Hz", Fs, Rs)); hold on;
+ figure(2); clf;
+ xlabel('Eb/No (dB)'); ylabel('PER');
+ title(sprintf("Spread: Fs = %d Hz Rs = %d Hz", Fs, Rs));
+ grid; axis([min(EbNodB) max(EbNodB) 0 1]); hold on;
+
+ spreadHz = [0.0 1 2 5];
+ for ns = 1:length(spreadHz)
+ ber_log = []; per_log = [];
+ for ne = 1:length(EbNodB)
+ [states ber per] = modem_run_test(EbNodB(ne), num_frames, Fs, Rs, 0, 0, spreadHz(ns));
+ ber_log = [ber_log; ber]; per_log = [per_log; per];
+ end
+ figure(1); semilogy(EbNodB, ber_log, 'linewidth', 2, sprintf("+-;spread=% 3.2f Hz;",spreadHz(ns)));
+ figure(2); plot(EbNodB, per_log, 'linewidth', 2, sprintf("+-;spread=% 3.2f Hz;",spreadHz(ns)));
+ end
+
+ figure(1); hold off; print(sprintf("fsk_modem_ber_spread_%d_%d.png",Fs,Rs), "-dpng")
+ figure(2); hold off; print(sprintf("fsk_modem_per_spread_%d_%d.png",Fs,Rs), "-dpng")
+end
+
+% study code rate versus Rs and MDS
+function code_rate_table
+ packet_duration_sec = 20;
+ k = 256;
+ noise_figure = 1;
+ bits_per_symbol = 2;
+ noise_bandwidth = 3000;
+
+ code_rate=[1 0.8 0.5 1/3];
+ raw_ber=[2E-3 0.04 0.08 0.16];
+ EbNodB_4fsk=[8 4.5 3.5 1.5];
+
+ printf("Code Rate | Raw BER | 4FSK Eb/No | n,k | Rs | SNR | MDS |\n");
+ printf("| --- | --- | --- | --- | --- | --- | --- |\n");
+ for i=1:length(code_rate)
+ n = k/code_rate(i);
+ Rb = n/packet_duration_sec;
+ Rs = Rb/bits_per_symbol;
+ snr = EbNodB_4fsk(i) + 10*log10(Rb/noise_bandwidth);
+ mds = EbNodB_4fsk(i) + 10*log10(Rb) + noise_figure - 174;
+ printf("%3.2f | %4.3f | %2.1f | %d,%d | %4.1f | %4.1f | %5.1f |\n",
+ code_rate(i), raw_ber(i), EbNodB_4fsk(i), n, k, Rs, snr, mds);
+ end
+end
+
+graphics_toolkit("gnuplot");
+more off;
+
+% same results every time
+rand('state',1);
+randn('state',1);
+
+% freq estimator tests (choose one)
+#freq_run_single(3,10)
+#freq_run_curve_peak_mask
+#freq_run_curve_mask(8000,100)
+#freq_run_curve_mask(24000,25)
+#freq_run_curve_mask(8000,25)
+
+% complete modem tests (choose one)
+#modem_run_curve(24000,25,100)
+#modem_run_curve(8000,100,50,0.05)
+#modem_run_curve_spread(8000,25,50)
+#modem_run_curve(8000,100,20)
+modem_run_test(2, 20, 8000, 25, 0, 1, 0, 270);
+
+% just print a table of code rates
+#code_rate_table
+
diff --git a/libcodec2-android/src/codec2/octave/fsk_v_afsk.m b/libcodec2-android/src/codec2/octave/fsk_v_afsk.m
new file mode 100644
index 0000000..a692c18
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fsk_v_afsk.m
@@ -0,0 +1,232 @@
+% fsk.m
+% David Rowe Nov 2014
+
+% Ideal non-coherent FSK and AFSK-over-analog-FM simulation. Can draw
+% Eb/No curves or run single point simulations
+
+rand('state',1);
+randn('state',1);
+graphics_toolkit ("gnuplot");
+
+fm;
+
+function sim_out = fsk_ber_test(sim_in)
+ Fs = 96000;
+ fmark = sim_in.fmark;
+ fspace = sim_in.fspace;
+ Rs = sim_in.Rs;
+ Ts = Fs/Rs;
+ emphasis = 50E-6;
+ verbose = sim_in.verbose;
+
+ nsym = sim_in.nsym;
+ nsam = nsym*Ts;
+ EbNodB = sim_in.EbNodB;
+
+ fm = sim_in.fm;
+
+ if fm
+ fm_states.pre_emp = 0;
+ fm_states.de_emp = 0;
+ fm_states.Ts = Ts;
+ fm_states.Fs = Fs;
+ fm_states.fc = Fs/4;
+ fm_states.fm_max = 3E3;
+ fm_states.fd = 5E3;
+ fm_states.output_filter = 1;
+ fm_states = analog_fm_init(fm_states);
+ end
+
+ % simulate over a range of Eb/No values
+
+ for ne = 1:length(EbNodB)
+ Nerrs = Terrs = Tbits = 0;
+
+ % randn() generates noise spread across the entire Fs bandwidth.
+ % The power (aka variance) of this noise is N = NoFs, or No =
+ % N/Fs. The power of each bit is C=1, so the energy of each bit
+ % is Eb=1/Rs. We want to find N as a function of Eb/No, so:
+
+ % Eb/No = (1/Rs)/(N/Fs) = Fs/(RsN)
+ % N = Fs/(Rs(Eb/No))
+
+ aEbNodB = EbNodB(ne);
+ EbNo = 10^(aEbNodB/10);
+ variance = Fs/(Rs*EbNo);
+
+ % Modulator -------------------------------
+
+ tx_bits = round(rand(1, nsym));
+ tx = zeros(1,nsam);
+ tx_phase = 0;
+
+ for i=1:nsym
+ for k=1:Ts
+ if tx_bits(i) == 1
+ tx_phase += 2*pi*fmark/Fs;
+ else
+ tx_phase += 2*pi*fspace/Fs;
+ end
+ tx_phase = tx_phase - floor(tx_phase/(2*pi))*2*pi;
+ tx((i-1)*Ts+k) = exp(j*tx_phase);
+ end
+ end
+
+ % Optional AFSK over FM modulator
+
+ if sim_in.fm
+ % FM mod takes real input; +/- 1 for correct deviation
+ tx = analog_fm_mod(fm_states, real(tx));
+ end
+
+ % Channel ---------------------------------
+
+ % We use complex (single sided) channel simulation, as it's convenient
+ % for the FM simulation.
+
+ noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+ rx = tx + noise;
+ if verbose > 1
+ printf("EbNo: %f Eb: %f var No: %f EbNo (meas): %f\n",
+ EbNo, var(tx)*Ts/Fs, var(noise)/Fs, (var(tx)*Ts/Fs)/(var(noise)/Fs));
+ end
+ save fsk tx_bits rx
+
+ % Optional AFSK over FM demodulator
+
+ if sim_in.fm
+ % scaling factor for convenience to match pure FSK
+ rx_bb = 2*analog_fm_demod(fm_states, rx);
+ else
+ rx_bb = rx;
+ end
+
+ % Demodulator -----------------------------
+
+ % non-coherent FSK demod
+
+ mark_dc = rx_bb .* exp(-j*(0:nsam-1)*2*pi*fmark/Fs);
+ space_dc = rx_bb .* exp(-j*(0:nsam-1)*2*pi*fspace/Fs);
+
+ rx_bits = zeros(1, nsym);
+ for i=1:nsym
+ st = (i-1)*Ts+1;
+ en = st+Ts-1;
+ mark_int(i) = sum(mark_dc(st:en));
+ space_int(i) = sum(space_dc(st:en));
+ rx_bits(i) = abs(mark_int(i)) > abs(space_int(i));
+ end
+
+ if fm
+ d = fm_states.nsym_delay;
+ error_positions = xor(rx_bits(1+d:nsym), tx_bits(1:(nsym-d)));
+ else
+ error_positions = xor(rx_bits, tx_bits);
+ end
+ Nerrs = sum(error_positions);
+ Terrs += Nerrs;
+ Tbits += length(error_positions);
+
+ TERvec(ne) = Terrs;
+ BERvec(ne) = Terrs/Tbits;
+
+ if verbose > 1
+ figure(2)
+ clf
+ Rx = 10*log10(abs(fft(rx)));
+ plot(Rx(1:Fs/2));
+ axis([1 Fs/2 0 50]);
+
+ figure(3)
+ clf;
+ subplot(211)
+ plot(real(rx_bb(1:Ts*20)))
+ subplot(212)
+ Rx_bb = 10*log10(abs(fft(rx_bb)));
+ plot(Rx_bb(1:3000));
+ axis([1 3000 0 50]);
+
+ figure(4);
+ subplot(211)
+ stem(abs(mark_int(1:100)));
+ subplot(212)
+ stem(abs(space_int(1:100)));
+ end
+
+ if verbose
+ printf("EbNo (db): %3.2f Terrs: %d BER: %3.2f \n", aEbNodB, Terrs, Terrs/Tbits);
+ end
+ end
+
+ sim_out.TERvec = TERvec;
+ sim_out.BERvec = BERvec;
+endfunction
+
+
+function run_fsk_curves
+ sim_in.fmark = 1200;
+ sim_in.fspace = 2200;
+ sim_in.Rs = 1200;
+ sim_in.nsym = 12000;
+ sim_in.EbNodB = 0:2:20;
+ sim_in.fm = 0;
+ sim_in.verbose = 1;
+
+ EbNo = 10 .^ (sim_in.EbNodB/10);
+ fsk_theory.BERvec = 0.5*exp(-EbNo/2); % non-coherent BFSK demod
+ fsk_sim = fsk_ber_test(sim_in);
+
+ sim_in.fm = 1;
+ fsk_fm_sim = fsk_ber_test(sim_in);
+
+ % BER v Eb/No curves
+
+ figure(1);
+ clf;
+ semilogy(sim_in.EbNodB, fsk_theory.BERvec,'r;FSK theory;')
+ hold on;
+ semilogy(sim_in.EbNodB, fsk_sim.BERvec,'g;FSK sim;')
+ semilogy(sim_in.EbNodB, fsk_fm_sim.BERvec,'b;FSK over FM sim;')
+ hold off;
+ grid("minor");
+ axis([min(sim_in.EbNodB) max(sim_in.EbNodB) 1E-4 1])
+ legend("boxoff");
+ xlabel("Eb/No (dB)");
+ ylabel("Bit Error Rate (BER)")
+
+ % BER v C/No (1 Hz noise BW and Eb=C/Rs=1/Rs)
+ % Eb/No = (C/Rs)/(1/(N/B))
+ % C/N = (Eb/No)*(Rs/B)
+
+ RsOnB_dB = 10*log10(sim_in.Rs/1);
+ figure(2);
+ clf;
+ semilogy(sim_in.EbNodB+RsOnB_dB, fsk_theory.BERvec,'r;FSK theory;')
+ hold on;
+ semilogy(sim_in.EbNodB+RsOnB_dB, fsk_sim.BERvec,'g;FSK sim;')
+ semilogy(sim_in.EbNodB+RsOnB_dB, fsk_fm_sim.BERvec,'b;FSK over FM sim;')
+ hold off;
+ grid("minor");
+ axis([min(sim_in.EbNodB+RsOnB_dB) max(sim_in.EbNodB+RsOnB_dB) 1E-4 1])
+ legend("boxoff");
+ xlabel("C/No for Rs=1200 bit/s and 1 Hz noise bandwidth (dB)");
+ ylabel("Bit Error Rate (BER)")
+end
+
+function run_fsk_single
+ sim_in.fmark = 1000;
+ sim_in.fspace = 2000;
+ sim_in.Rs = 1000;
+ sim_in.nsym = 2000;
+ sim_in.EbNodB = 7;
+ sim_in.fm = 0;
+ sim_in.verbose = 1;
+
+ fsk_sim = fsk_ber_test(sim_in);
+endfunction
+
+# choose one of these functions below
+
+run_fsk_curves
+#run_fsk_single
+
diff --git a/libcodec2-android/src/codec2/octave/fskdemodgui.py b/libcodec2-android/src/codec2/octave/fskdemodgui.py
new file mode 100644
index 0000000..139cfa2
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/fskdemodgui.py
@@ -0,0 +1,220 @@
+#!/usr/bin/env python
+#
+# fsk_demod Statistics GUI
+# Accepts the stats output from fsk_demod on stdin, and plots it.
+#
+# Mark Jessop 2016-03-13
+#
+# NOTE: This is intended to be run on a 'live' stream of samples, and hence expects
+# updates at about 10Hz. Anything faster will fill up the input queue and be discarded.
+#
+# Call using:
+# | ./fsk_demod --cu8 -s --stats=100 2 $SDR_RATE $BAUD_RATE - - 2> >(python fskdemodgui.py --wide) |
+#
+# Dependencies:
+# * Python (written for 2.7, only tested recently on 3+)
+# * numpy
+# * pyqtgraph
+# * PyQt5 (Or some Qt5 backend compatible with pyqtgraph)
+#
+#
+import sys, time, json, argparse
+from threading import Thread
+try:
+ from pyqtgraph.Qt import QtGui, QtCore
+except ImportError:
+ print("Could not import PyQt5 - is it installed?")
+ sys.exit(1)
+
+try:
+ import numpy as np
+except ImportError:
+ print("Could not import numpy - is it installed?")
+ sys.exit(1)
+
+try:
+ import pyqtgraph as pg
+except ImportError:
+ print("Could not import pyqtgraph - is it installed?")
+ sys.exit(1)
+
+try:
+ # Python 2
+ from Queue import Queue
+except ImportError:
+ # Python 3
+ from queue import Queue
+
+parser = argparse.ArgumentParser()
+parser.add_argument("--wide", action="store_true", default=False, help="Alternate wide arrangement of widgets, for placement at bottom of 4:3 screen.")
+args = parser.parse_args()
+
+# Some settings...
+update_rate = 2 # Hz
+history_size = 100 # 10 seconds at 10Hz...
+history_scale = np.linspace((-1*history_size+1)/float(update_rate),0,history_size)
+
+# Input queue
+in_queue = Queue(1) # 1-element FIFO...
+
+win = pg.GraphicsWindow()
+win.setWindowTitle('FSK Demodulator Modem Statistics')
+
+
+# Plot objects
+ebno_plot = win.addPlot(title="Eb/No")
+ppm_plot = win.addPlot(title="Sample Clock Offset")
+if args.wide == False:
+ win.nextRow()
+else:
+ win.resize(1024,200)
+fest_plot =pg.PlotItem() # win.addPlot(title="Tone Frequency Estimation")
+eye_plot = win.addPlot(title="Eye Diagram")
+# Disable auto-ranging on eye plot and fix axes for a big speedup...
+spec_plot = win.addPlot(title="Spectrum")
+spec_plot.setYRange(0,40)
+spec_plot.setLabel('left','SNR (dB)')
+spec_plot.setLabel('bottom','FFT Bin')
+# Configure plot labels and scales.
+ebno_plot.setLabel('left','Eb/No (dB)')
+ebno_plot.setLabel('bottom','Time (seconds)')
+ebno_plot.setYRange(0,30)
+ppm_plot.setLabel('left','Clock Offset (ppm)')
+ppm_plot.setLabel('bottom','Time (seconds)')
+fest_plot.setLabel('left','Frequency (Hz)')
+fest_plot.setLabel('bottom','Time (seconds)')
+eye_plot.disableAutoRange()
+eye_plot.setYRange(0,1)
+eye_plot.setXRange(0,15)
+eye_xr = 15
+
+# Data arrays...
+ebno_data = np.zeros(history_size)
+ppm_data = np.zeros(history_size)
+fest_data = np.zeros((4,history_size))
+
+# Curve objects, so we can update them...
+spec_curve = spec_plot.plot([0])
+ebno_curve = ebno_plot.plot(x=history_scale,y=ebno_data)
+ppm_curve = ppm_plot.plot(x=history_scale,y=ppm_data)
+fest1_curve = fest_plot.plot(x=history_scale,y=fest_data[0,:],pen='r') # f1 = Red
+fest2_curve = fest_plot.plot(x=history_scale,y=fest_data[1,:],pen='g') # f2 = Blue
+fest3_curve = fest_plot.plot(x=history_scale,y=fest_data[2,:],pen='b') # f3 = Greem
+fest4_curve = fest_plot.plot(x=history_scale,y=fest_data[3,:],pen='m') # f4 = Magenta
+
+# Plot update function. Reads from queue, processes and updates plots.
+def update_plots():
+ global timeout,timeout_counter,eye_plot,ebno_curve, ppm_curve, fest1_curve, fest2_curve, ebno_data, ppm_data, fest_data, in_queue, eye_xr, spec_curve
+
+ try:
+ if in_queue.empty():
+ return
+ in_data = in_queue.get_nowait()
+ in_data = json.loads(in_data)
+ except Exception as e:
+
+ sys.stderr.write(str(e))
+ return
+
+ # Roll data arrays
+ ebno_data[:-1] = ebno_data[1:]
+ ppm_data[:-1] = ppm_data[1:]
+ fest_data = np.roll(fest_data,-1,axis=1)
+
+
+ # Try reading in the new data points from the dictionary.
+ try:
+ new_ebno = in_data['EbNodB']
+ new_ppm = in_data['ppm']
+ new_fest1 = in_data['f1_est']
+ new_fest2 = in_data['f2_est']
+ new_spec = in_data['samp_fft']
+ except Exception as e:
+ print("ERROR reading dict: %s" % e)
+
+ # Try reading in the other 2 tones.
+ try:
+ new_fest3 = in_data['f3_est']
+ new_fest4 = in_data['f4_est']
+ fest_data[2,-1] = new_fest3
+ fest_data[3,-1] = new_fest4
+ except:
+ # If we can't read these tones out of the dict, fill with NaN
+ fest_data[2,-1] = np.nan
+ fest_data[3,-1] = np.nan
+
+ # Add in new data points
+ ebno_data[-1] = new_ebno
+ ppm_data[-1] = new_ppm
+ fest_data[0,-1] = new_fest1
+ fest_data[1,-1] = new_fest2
+
+
+ # Update plots
+ spec_data_log = 20*np.log10(np.array(new_spec)+0.01)
+ spec_curve.setData(spec_data_log)
+ spec_plot.setYRange(spec_data_log.max()-50,spec_data_log.max()+10)
+ ebno_curve.setData(x=history_scale,y=ebno_data)
+ ppm_curve.setData(x=history_scale,y=ppm_data)
+ fest1_curve.setData(x=history_scale,y=fest_data[0,:],pen='r') # f1 = Red
+ fest2_curve.setData(x=history_scale,y=fest_data[1,:],pen='g') # f2 = Blue
+ fest3_curve.setData(x=history_scale,y=fest_data[2,:],pen='b') # f3 = Green
+ fest4_curve.setData(x=history_scale,y=fest_data[3,:],pen='m') # f4 = Magenta
+
+ #Now try reading in and plotting the eye diagram
+ try:
+ eye_data = np.array(in_data['eye_diagram'])
+
+ #eye_plot.disableAutoRange()
+ eye_plot.clear()
+ col_index = 0
+ for line in eye_data:
+ eye_plot.plot(line,pen=(col_index,eye_data.shape[0]))
+ col_index += 1
+ #eye_plot.autoRange()
+
+ #Quick autoranging for x-axis to allow for differing P and Ts values
+ if eye_xr != len(eye_data[0]) - 1:
+ eye_xr = len(eye_data[0]) - 1
+ eye_plot.setXRange(0,len(eye_data[0])-1)
+
+ except Exception as e:
+ pass
+
+
+timer = pg.QtCore.QTimer()
+timer.timeout.connect(update_plots)
+timer.start(1000/update_rate)
+
+
+# Thread to read from stdin and push into a queue to be processed.
+def read_input():
+ global in_queue
+
+ while True:
+ in_line = sys.stdin.readline()
+ if type(in_line) == bytes:
+ in_line = in_line.decode()
+
+ # Only push actual data into the queue...
+ # This stops sending heaps of empty strings into the queue when fsk_demod closes.
+ if in_line == "":
+ time.sleep(0.1)
+ continue
+
+ if not in_queue.full():
+ in_queue.put_nowait(in_line)
+
+
+read_thread = Thread(target=read_input)
+read_thread.daemon = True # Set as daemon, so when all other threads die, this one gets killed too.
+read_thread.start()
+
+## Start Qt event loop unless running in interactive mode or using pyside.
+if __name__ == '__main__':
+ import sys
+ if (sys.flags.interactive != 1) or not hasattr(QtCore, 'PYQT_VERSION'):
+ try:
+ QtGui.QApplication.instance().exec_()
+ except KeyboardInterrupt:
+ sys.exit(0)
diff --git a/libcodec2-android/src/codec2/octave/gen_rn_coeffs.m b/libcodec2-android/src/codec2/octave/gen_rn_coeffs.m
new file mode 100644
index 0000000..bfc214e
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/gen_rn_coeffs.m
@@ -0,0 +1,40 @@
+% gen_rn_coeffs.m
+% David Rowe 13 april 2012
+%
+% Generate root raised cosine (Root Nyquist) filter coefficients
+% thanks http://www.dsplog.com/db-install/wp-content/uploads/2008/05/raised_cosine_filter.m
+
+function coeffs = gen_rn_coeffs(alpha, T, Rs, Nsym, M)
+
+ Ts = 1/Rs;
+
+ n = -Nsym*Ts/2:T:Nsym*Ts/2;
+ Nfilter = Nsym*M;
+ Nfiltertiming = M+Nfilter+M;
+
+ sincNum = sin(pi*n/Ts); % numerator of the sinc function
+ sincDen = (pi*n/Ts); % denominator of the sinc function
+ sincDenZero = find(abs(sincDen) < 10^-10);
+ sincOp = sincNum./sincDen;
+ sincOp(sincDenZero) = 1; % sin(pix/(pix) =1 for x =0
+
+ cosNum = cos(alpha*pi*n/Ts);
+ cosDen = (1-(2*alpha*n/Ts).^2);
+ cosDenZero = find(abs(cosDen)<10^-10);
+ cosOp = cosNum./cosDen;
+ cosOp(cosDenZero) = pi/4;
+ gt_alpha5 = sincOp.*cosOp;
+ Nfft = 4096;
+ GF_alpha5 = fft(gt_alpha5,Nfft)/M;
+
+ % sqrt causes stop band to be amplified, this hack pushes it down again
+
+ for i=1:Nfft
+ if (abs(GF_alpha5(i)) < 0.02)
+ GF_alpha5(i) *= 0.001;
+ endif
+ end
+ GF_alpha5_root = sqrt(abs(GF_alpha5)) .* exp(j*angle(GF_alpha5));
+ ifft_GF_alpha5_root = ifft(GF_alpha5_root);
+ coeffs = real((ifft_GF_alpha5_root(1:Nfilter)));
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/gmsk.m b/libcodec2-android/src/codec2/octave/gmsk.m
new file mode 100644
index 0000000..5f07d44
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/gmsk.m
@@ -0,0 +1,1021 @@
+% gmsk.m
+% David Rowe Dec 2014
+%
+% GMSK modem implementation and simulations to test
+
+%
+% [X] plot eye diagram
+% [X] BER curves with reas match to theoretical
+% [X] fine timing estimator
+% [X] test with fine timing error by resampling
+% [X] phase/freq estimator
+% + need initial acquisition and tracking
+% [X] test with different freq offsets
+% [X] coarse timing estimator (sync up to known test frames)
+% [X] test with different coarse timing offsets
+% [ ] file read/write interface
+% [ ] refactor into tx/rx functions
+% [X] modify for 1200 (or any) bit/s operation
+% + ie GMSK filter coeff generation
+% + or just re-sampling? e.g. ratio of Fs to Rs?
+% [ ] way to measure input SNR to demod
+% + Maybe based on test tone/carrier from the other side?
+% + think about process ... total signal plus noise power? Increase power until S+N doubles?
+% [X] generate curves for baseline modem and with sync algorithms
+% [X] used coarse sync code to remove need for knowing delays
+% [X] demod level indep
+% + scaled OK +/- 20dB same BER
+% [X] effect of DC signals from SDRs
+% + simulated effect of general interferer at -1500Hz, at an amplitude of 4
+% (12 dB above GMSK signal), it started to affect BER e.g. 0.007 to 0.009
+% Line appeared about 30dB above top of GMSK signal.
+% [ ] effect of quantisation noise
+
+% Filter coeffs From:
+% https://github.com/on1arf/gmsk/blob/master/gmskmodem_codec2/API/a_dspstuff.h,
+% which is in turn from Jonathan G4KLX. The demod coeffs low pass filter noise
+
+global gmsk_mod_coeff = [...
+ 6.455906007234699e-014, 1.037067381285011e-012, 1.444835156335346e-011,...
+1.745786683011439e-010, 1.829471305298363e-009, 1.662729407135958e-008,...
+1.310626978701910e-007, 8.959797186410516e-007, 5.312253663302771e-006,...
+2.731624380156465e-005, 1.218217140199093e-004, 4.711833994209542e-004,...
+1.580581180127418e-003, 4.598383433830095e-003, 1.160259430889949e-002,...
+2.539022692626253e-002, 4.818807833062393e-002, 7.931844341164322e-002,...
+1.132322945270602e-001, 1.401935338024111e-001, 1.505383695578516e-001,...
+1.401935338024111e-001, 1.132322945270601e-001, 7.931844341164328e-002,...
+4.818807833062393e-002, 2.539022692626253e-002, 1.160259430889949e-002,...
+4.598383433830090e-003, 1.580581180127420e-003, 4.711833994209542e-004,...
+1.218217140199093e-004, 2.731624380156465e-005, 5.312253663302753e-006,...
+8.959797186410563e-007, 1.310626978701910e-007, 1.662729407135958e-008,...
+1.829471305298363e-009, 1.745786683011426e-010, 1.444835156335356e-011,...
+1.037067381285011e-012, 6.455906007234699e-014];
+
+global gmsk_demod_coeff = [...
+-0.000153959924563, 0.000000000000000, 0.000167227768379, 0.000341615513437,...
+0.000513334449696, 0.000667493753523, 0.000783901543032, 0.000838293462576,...
+0.000805143268199, 0.000661865814384, 0.000393913058926, -0.000000000000000,...
+-0.000503471198655, -0.001079755887508, -0.001671728086040, -0.002205032425392,...
+-0.002594597675000, -0.002754194565297, -0.002608210441859, -0.002104352817854,...
+-0.001225654870420, 0.000000000000000, 0.001494548041184, 0.003130012785731,...
+0.004735238379172, 0.006109242742194, 0.007040527007323, 0.007330850462455,...
+0.006821247169795, 0.005417521811131, 0.003112202160626, -0.000000000000000,...
+-0.003715739376345, -0.007727358782391, -0.011638713107503, -0.014992029537478,...
+-0.017304097563429, -0.018108937286588, -0.017003180218569, -0.013689829477969,...
+-0.008015928769710, 0.000000000000000, 0.010154104792614, 0.022059114281395,...
+0.035162729807337, 0.048781621388364, 0.062148583345584, 0.074469032280094,...
+0.084982001723750, 0.093020219991183, 0.098063819576269, 0.099782731268437,...
+0.098063819576269, 0.093020219991183, 0.084982001723750, 0.074469032280094,...
+0.062148583345584, 0.048781621388364, 0.035162729807337, 0.022059114281395,...
+0.010154104792614, 0.000000000000000, -0.008015928769710, -0.013689829477969,...
+-0.017003180218569, -0.018108937286588, -0.017304097563429, -0.014992029537478,...
+-0.011638713107503, -0.007727358782391, -0.003715739376345, -0.000000000000000,...
+0.003112202160626, 0.005417521811131, 0.006821247169795, 0.007330850462455,...
+0.007040527007323, 0.006109242742194, 0.004735238379172, 0.003130012785731,...
+0.001494548041184, 0.000000000000000, -0.001225654870420, -0.002104352817854,...
+-0.002608210441859, -0.002754194565297, -0.002594597675000, -0.002205032425392,...
+-0.001671728086040, -0.001079755887508, -0.000503471198655, -0.000000000000000,...
+0.000393913058926, 0.000661865814384, 0.000805143268199, 0.000838293462576,...
+0.000783901543032, 0.000667493753523, 0.000513334449696, 0.000341615513437,...
+0.000167227768379, 0.000000000000000, -0.000153959924563];
+
+rand('state',1);
+randn('state',1);
+graphics_toolkit ("gnuplot");
+fm;
+close all;
+
+%
+% Functions that implement the GMSK modem ------------------------------------------------------
+%
+
+function gmsk_states = gmsk_init(gmsk_states, Rs)
+
+ % general
+
+ verbose = gmsk_states.verbose;
+ gmsk_states.Fs = 48000;
+ gmsk_states.Rs = Rs;
+ M = gmsk_states.M = gmsk_states.Fs/gmsk_states.Rs;
+ global gmsk_mod_coeff;
+ global gmsk_demod_coeff;
+ gmsk_states.mod_coeff = (Rs/4800)*resample(gmsk_mod_coeff, 4800, Rs);
+
+ if verbose > 1
+ figure;
+ plot(gmsk_mod_coeff,'r;original 4800;')
+ hold on;
+ plot(gmsk_states.mod_coeff,'g;interpolated;')
+ hold off;
+ title('GMSK pulse shaping filter')
+ end
+
+ % set up FM modulator
+
+ fm_states.Fs = gmsk_states.Fs;
+ fm_states.fc = 0;
+ fm_max = fm_states.fm_max = Rs/2;
+ fd = fm_states.fd = Rs/4;
+ fm_states.Ts = gmsk_states.M;
+ fm_states.pre_emp = fm_states.de_emp = 0;
+ fm_states.output_filter = 1;
+ gmsk_states.fm_states = analog_fm_init(fm_states);
+
+endfunction
+
+
+function [tx tx_filt tx_symbols] = gmsk_mod(gmsk_states, tx_bits)
+ M = gmsk_states.M;
+ nsym = length(tx_bits);
+ nsam = nsym*M;
+ verbose = gmsk_states.verbose;
+
+ % NRZ sequence of symbols
+
+ tx_symbols = zeros(1,nsam);
+ for i=1:nsym
+ tx_symbols(1+(i-1)*M:i*M) = -1 + 2*tx_bits(i);
+ end
+
+ tx_filt = filter(gmsk_states.mod_coeff, 1, tx_symbols);
+
+ if verbose > 1
+ figure;
+ clf
+ plot(tx_filt(1:M*10))
+ title('tx signal after filtering, before FM mod')
+ end
+
+ tx = analog_fm_mod(gmsk_states.fm_states, tx_filt);
+endfunction
+
+
+function [rx_bits rx_int rx_filt] = gmsk_demod(gmsk_states, rx)
+ M = gmsk_states.M;
+ Rs = gmsk_states.Rs;
+ Fs = gmsk_states.Fs;
+ nsam = length(rx);
+ nsym = floor(nsam/M);
+ global gmsk_demod_coeff;
+ wd = 2*pi*gmsk_states.fm_states.fd/gmsk_states.Fs;
+ timing_angle_log = zeros(1,length(rx));
+ rx_int = zeros(1,length(rx));
+
+ if gmsk_states.coherent_demod
+
+ % See IEEE Trans on Comms, Muroyta et al, 1981, "GSM Modulation
+ % for Digital Radio Telephony" Fig 8:
+
+ % matched filter
+
+ rx_filt = filter(gmsk_states.mod_coeff, 1, rx);
+
+ % Property of MSK that re and im arms are sequences of 2T
+ % long symbols, can be demodulated like QPSK with matched filter
+ % and integrate and dump.
+
+ % integrate energy in symbols 2T long in re and im arms
+ % note this could be combined with matched filter
+
+ rx_int = conv(rx_filt,ones(1,2*M));
+
+ % phase and fine frequency tracking and correction ------------------------
+
+ if gmsk_states.phase_track
+
+ % DCO design from "Introduction To Phase-Lock Loop System Modeling", Wen Li
+ % http://www.ece.ualberta.ca/~ee401/parts/data/PLLIntro.pdf
+
+ eta = 0.707;
+ wn = 2*pi*10*(Rs/4800); % (Rs/4800) -> found reducing the BW benifical with falling Rs
+ Ts = 1/Fs;
+ g1 = 1 - exp(-2*eta*wn*Ts);
+ g2 = 1 + exp(-2*eta*wn*Ts) - 2*exp(-eta*wn*Ts)*cos(wn*Ts*sqrt(1-eta*eta));
+ Gpd = 2/pi;
+ Gvco = 1;
+ G1 = g1/(Gpd*Gvco); G2 = g2/(Gpd*Gvco);
+ %printf("g1: %e g2: %e G1: %e G2: %e\n", g1, g2, G1, G2);
+
+ filt_prev = dco = lower = ph_err_filt = ph_err = 0;
+ dco_log = filt_log = zeros(1,nsam);
+
+ % w is the ref sine wave at the timing clock frequency
+ % tw is the length of the window used to estimate timing
+
+ k = 1;
+ tw = 200*M;
+ xr_log = []; xi_log = [];
+ w_log = [];
+ timing_clock_phase = 0;
+ timing_angle = 0;
+ timing_angle_log = zeros(1,nsam);
+
+ for i=1:nsam
+
+ % update sample timing estimate every tw samples
+
+ if mod(i,tw) == 0
+ l = i - tw+1;
+ xr = abs(real(rx_int(l:l+tw-1)));
+ xi = abs(imag(rx_int(l:l+tw-1)));
+ w = exp(j*(l:l+tw-1)*2*pi*(Rs/2)/Fs);
+ X = xr * w';
+ timing_clock_phase = timing_angle = angle(X);
+ k++;
+ xr_log = [xr_log xr];
+ xi_log = [xi_log xi];
+ w_log = [w_log w];
+ else
+ timing_clock_phase += (2*pi)/(2*M);
+ end
+ timing_angle_log(i) = timing_angle;
+
+ rx_int(i) *= exp(-j*dco);
+ ph_err = sign(real(rx_int(i))*imag(rx_int(i)))*cos(timing_clock_phase);
+ lower = ph_err*G2 + lower;
+ filt = ph_err*G1 + lower;
+ dco = dco + filt;
+ filt_log(i) = filt;
+ dco_log(i) = dco;
+ end
+
+ figure;
+ clf
+ subplot(211);
+ plot(filt_log);
+ title('PLL filter')
+ subplot(212);
+ plot(dco_log/pi);
+ title('PLL DCO phase');
+ %axis([1 nsam -0.5 0.5])
+ end
+
+ % sample integrator output at correct timing instant
+
+ timing_adj = timing_angle_log*2*M/(2*pi);
+ timing_adj_uw = unwrap(timing_angle_log)*2*M/(2*pi);
+ % Toff = floor(2*M+timing_adj);
+ Toff = floor(timing_adj_uw+0.5);
+ k = 1;
+ re_syms = im_syms = zeros(1,nsym/2);
+
+ for i=2*M:2*M:nsam
+ if (i-Toff(i)+M) < nsam
+ re_syms(k) = real(rx_int(i-Toff(i)));
+ im_syms(k) = imag(rx_int(i-Toff(i)+M));
+ end
+ %re_syms(k) = real(rx_int(i-10));
+ %im_syms(k) = imag(rx_int(i+M-10));
+ k++;
+ end
+
+ figure
+ subplot(211)
+ stem(re_syms)
+ subplot(211)
+ stem(im_syms)
+
+ figure;
+ clf
+ subplot(211)
+ plot(timing_adj);
+ title('Timing est');
+ subplot(212)
+ plot(Toff);
+ title('Timing est unwrap');
+
+ % XORs/adders on the RHS of Muroyta et al Fig 8 (a) and (b). We
+ % simulate digital logic bit stream at clock rate Rs, even though
+ % we sample integrators at rate Rs/2. I can't explain how and why
+ % this logic works/is required. I think it can be worked out from
+ % comparing to MSK/OQPSK demod designs.
+
+ l = length(re_syms);
+ l2 = 2*l;
+ re_bits = zeros(1,l2);
+ im_bits = zeros(1,l2);
+ clk_bits = zeros(1,l2);
+ for i=1:l-1
+ re_bits(2*(i-1)+1) = re_syms(i) > 0;
+ re_bits(2*(i-1)+2) = re_syms(i) > 0;
+ im_bits(2*(i-1)+2) = im_syms(i) > 0;
+ im_bits(2*(i-1)+3) = im_syms(i) > 0;
+ clk_bits(2*(i-1)+1) = 0;
+ clk_bits(2*(i-1)+2) = 1;
+ end
+
+ rx_bits = bitxor(bitxor(re_bits,im_bits), clk_bits);
+ rx_bits = rx_bits(2:length(rx_bits)-1);
+ else
+ % non-coherent demod
+
+ % filter to get rid of most of noise before FM demod, but doesnt
+ % introduce any ISI
+
+ fc = Rs/(Fs/2);
+ bin = firls(200,[0 fc*(1-0.05) fc*(1+0.05) 1],[1 1 0.01 0.01]);
+ rx_filt = filter(bin, 1, rx);
+
+ % FM demod
+
+ rx_diff = [ 1 rx_filt(2:nsam) .* conj(rx_filt(1:nsam-1))];
+ rx_filt = (1/wd)*atan2(imag(rx_diff),real(rx_diff));
+
+ % low pass filter, trade off betwen ISI and removing noise
+
+ rx_filt = filter(gmsk_demod_coeff, 1, rx_filt);
+ Toff = 7;
+ rx_bits = real(rx_filt(1+Toff:M:length(rx_filt)) > 0);
+
+ end
+
+endfunction
+
+
+% Initial frequency offset estimation. Look for line a centre
+% frequency, which is the strongest component when ...101010... is
+% used to modulate the GMSK signal. Note just searching for a single
+% line will get false lock on random sine waves but that's OK for a
+% PoC. It could be improved by checking for other lines, or
+% demodulating the preamble and checking for bit errors.
+
+function [freq_offset_est ratio] = gmsk_est_freq_offset(gmsk_states, rx, verbose)
+ Fs = gmsk_states.Fs;
+ Rs = gmsk_states.Rs;
+
+ % Suggest Rs/10 symbols of preamble (100ms), this works OK at
+ % Rs=4800 and Es/No = 6dB. The large, Fs sample FFT size is used
+ % for convenience (the bin resolution is 1 Hz), for real time we
+ % would decimate and use smaller FFT to save CPU and memory.
+
+ ndft = Fs;
+ f = fft(rx .* hanning(length(rx))', ndft);
+ f = fftshift(f);
+
+ start_bin = 1 + Fs/2-Rs/4;
+ stop_bin = start_bin + Rs/2;
+ [max_val max_bin] = max(abs(f(start_bin:stop_bin)));
+
+ max_bin -= Rs/4 + 1;
+ if verbose > 1
+ printf("ndft: %d start_bin: %d stop_bin: %d max_bin: %d\n", ndft, start_bin, stop_bin, max_bin);
+ end
+
+ % calc ratio of line energy to total energy. For a valid preamble
+ % this was measured as about 0.20 to 0.25 depending on noise.
+
+ sum_sq = sum(abs(f(start_bin:stop_bin)) .^ 2);
+ ratio = sqrt(max_val*max_val/sum_sq);
+
+ % map max_bin to frequency offset
+
+ freq_offset_est = max_bin;
+
+ if verbose > 1
+ printf("freq_offset_est: %f pk/rms ratio: %f \n", freq_offset_est, ratio);
+ figure;
+ clf
+ subplot(211)
+ plot(rx,'+')
+ title('rx signal on complex plane')
+ subplot(212)
+ plot(-Rs/4:Rs/4, 20*log10(abs(f(start_bin:stop_bin))));
+ axis([-Rs/4 Rs/4 0 80]);
+ title('spectrum of rx signal');
+ end
+
+endfunction
+
+%
+% Functions for Testing the GMSK modem --------------------------------------------------------
+%
+
+function sim_out = gmsk_test(sim_in)
+ nsym = sim_in.nsym;
+ EbNodB = sim_in.EbNodB;
+ verbose = sim_in.verbose;
+ Rs = 4800;
+
+ gmsk_states.verbose = verbose;
+ gmsk_states.coherent_demod = sim_in.coherent_demod;
+ gmsk_states.phase_track = 0;
+ gmsk_states = gmsk_init(gmsk_states, Rs);
+ M = gmsk_states.M;
+ Fs = gmsk_states.Fs;
+ Rs = gmsk_states.Rs;
+ Bfm = gmsk_states.fm_states.Bfm;
+
+ for ne = 1:length(EbNodB)
+ aEbNodB = EbNodB(ne);
+ EbNo = 10^(aEbNodB/10);
+ variance = Fs/(Rs*EbNo);
+
+ tx_bits = round(rand(1, nsym));
+ %tx_bits = ones(1, nsym);
+ %tx_bits = zeros(1, nsym);
+ %tx_bits(1:2:nsym) = 0;
+ [tx tx_filt tx_symbols] = gmsk_mod(gmsk_states, tx_bits);
+ nsam = length(tx);
+
+ noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+ rx = tx*exp(j*pi/2) + noise;
+
+ [rx_bits rx_out rx_filt] = gmsk_demod(gmsk_states, rx(1:length(rx)));
+
+ % search for frame location over a range
+
+ Nerrs_min = nsym; Nbits_min = nsym; l = length(rx_bits);
+ for i=1:100;
+ Nerrs = sum(xor(rx_bits(i:l), tx_bits(1:l-i+1)));
+ if Nerrs < Nerrs_min
+ Nerrs_min = Nerrs;
+ Nbits_min = l;
+ end
+ end
+
+ TERvec(ne) = Nerrs_min;
+ BERvec(ne) = Nerrs_min/Nbits_min;
+
+ if verbose > 0
+ printf("EbNo dB: %3.1f Nerrs: %d BER: %f BER Theory: %f\n", aEbNodB, Nerrs_min, BERvec(ne), 0.5*erfc(sqrt(0.75*EbNo)));
+ end
+
+ if verbose > 1
+
+ if gmsk_states.coherent_demod == 0
+ Toff = 0; dsam = M*30;
+ figure;
+ clf
+ eyesyms = 2;
+ plot(rx_filt(dsam+1+Toff:dsam+eyesyms*M+Toff))
+ hold on;
+ for i=1:10
+ st = dsam+1+Toff+i*eyesyms*M;
+ en = st + eyesyms*M;
+ plot(rx_filt(st:en))
+ end
+ hold off;
+ %axis([dsam dsam+eyesyms*M -2 2]);
+ title('Eye Diagram');
+ else
+ figure;
+ nplot = 16;
+ clf;
+ subplot(211)
+ plot(real(rx_filt(1:nplot*M)))
+ axis([1 nplot*M -1 1])
+ title('Matched Filter');
+ subplot(212)
+ plot(imag(rx_filt(1:nplot*M)))
+ axis([1 nplot*M -1 1])
+
+ figure;
+ nplot = 16;
+ clf;
+ subplot(211)
+ plot(real(rx_out(1:nplot*M))/(2*M))
+ title('Integrator');
+ axis([1 nplot*M -1 1])
+ subplot(212)
+ plot(imag(rx_out(1:nplot*M)/(2*M)))
+ axis([1 nplot*M -1 1])
+ end
+
+ figure;
+ clf
+ subplot(211)
+ stem(tx_bits(1:20))
+ title('Tx Bits')
+ subplot(212)
+ stem(rx_bits(1:20))
+ title('Rx Bits')
+
+ figure;
+ clf
+ subplot(211);
+ f = fft(rx);
+ Tx = 20*log10(abs(f));
+ plot(Tx)
+ grid;
+ title('GMSK Demodulator Input Spectrum');
+ axis([1 5000 0 80])
+
+ subplot(212)
+ f = fft(tx);
+ f = f(1:length(f)/2);
+ cs = cumsum(abs(f).^2);
+ plot(cs)
+ hold on;
+ x = 0.99;
+ tots = x*sum(abs(f).^2);
+ xpercent_pwr = find(cs > tots);
+ bw = 2*xpercent_pwr(1);
+ plot([1 Fs/2],[tots tots],'r')
+ plot([bw/2 bw/2],[0 tots],'r')
+ hold off;
+ title("Cumulative Power");
+ grid;
+ axis([1 5000 0 max(cs)])
+
+ printf("Bfm: %4.0fHz %3.0f%% power bandwidth %4.0fHz = %3.2f*Rb\n", Bfm, x*100, bw, bw/Rs);
+
+ end
+ end
+
+ sim_out.TERvec = TERvec;
+ sim_out.BERvec = BERvec;
+ sim_out.Rs = gmsk_states.Rs;
+endfunction
+
+
+function run_gmsk_single
+ sim_in.coherent_demod = 0;
+ sim_in.nsym = 4800;
+ sim_in.EbNodB = 10;
+ sim_in.verbose = 2;
+
+ sim_out = gmsk_test(sim_in);
+endfunction
+
+
+% Generate a bunch of BER versus Eb/No curves for various demods
+
+function run_gmsk_curves
+ sim_in.coherent_demod = 1;
+ sim_in.nsym = 48000;
+ sim_in.EbNodB = 2:10;
+ sim_in.verbose = 1;
+
+ gmsk_coh = gmsk_test(sim_in);
+
+ sim_in.coherent_demod = 0;
+ gmsk_noncoh = gmsk_test(sim_in);
+
+ Rs = gmsk_coh.Rs;
+ EbNo = 10 .^ (sim_in.EbNodB/10);
+ alpha = 0.75; % guess for BT=0.5 GMSK
+ gmsk_theory.BERvec = 0.5*erfc(sqrt(alpha*EbNo));
+
+ % BER v Eb/No curves
+
+ figure;
+ clf;
+ semilogy(sim_in.EbNodB, gmsk_theory.BERvec,'r;GMSK theory;')
+ hold on;
+ semilogy(sim_in.EbNodB, gmsk_coh.BERvec,'g;GMSK sim coherent;')
+ semilogy(sim_in.EbNodB, gmsk_noncoh.BERvec,'b;GMSK sim non-coherent;')
+ hold off;
+ grid("minor");
+ axis([min(sim_in.EbNodB) max(sim_in.EbNodB) 1E-4 1])
+ legend("boxoff");
+ xlabel("Eb/No (dB)");
+ ylabel("Bit Error Rate (BER)")
+
+ % BER v C/No (1 Hz noise BW and Eb=C/Rs=1/Rs)
+ % Eb/No = (C/Rs)/(1/(N/B))
+ % C/N = (Eb/No)*(Rs/B)
+
+ RsOnB_dB = 10*log10(Rs/1);
+ figure;
+ clf;
+ semilogy(sim_in.EbNodB+RsOnB_dB, gmsk_theory.BERvec,'r;GMSK theory;')
+ hold on;
+ semilogy(sim_in.EbNodB+RsOnB_dB, gmsk_coh.BERvec,'g;GMSK sim coherent;')
+ semilogy(sim_in.EbNodB+RsOnB_dB, gmsk_noncoh.BERvec,'b;GMSK sim non-coherent;')
+ hold off;
+ grid("minor");
+ axis([min(sim_in.EbNodB+RsOnB_dB) max(sim_in.EbNodB+RsOnB_dB) 1E-4 1])
+ legend("boxoff");
+ xlabel("C/No for Rs=4800 bit/s and 1 Hz noise bandwidth (dB)");
+ ylabel("Bit Error Rate (BER)")
+
+endfunction
+
+
+function [preamble_location freq_offset_est] = find_preamble(gmsk_states, M, npreamble, rx)
+ verbose = gmsk_states.verbose;
+
+ % look through rx buffer and determine if there is a valid preamble. Use steps of half the
+ % preamble size in samples to try to bracket the pre-amble.
+
+ preamble_step = npreamble*M/2;
+ ratio = 0; freq_offset_est = 0; preamble_location = 0;
+ ratio_log = [];
+ for i=1:preamble_step:length(rx)-preamble_step
+ [afreq_offset_est aratio] = gmsk_est_freq_offset(gmsk_states, rx(i:i+preamble_step-1), verbose);
+ ratio_log = [ratio_log aratio];
+ if aratio > ratio
+ preamble_location = i;
+ ratio = aratio;
+ freq_offset_est = afreq_offset_est;
+ end
+ end
+ if verbose
+ printf("preamble location: %2.1f seconds est f_off: %5.1f Hz ratio: %3.2f\n",
+ preamble_location/gmsk_states.Fs, freq_offset_est, ratio);
+ figure;
+ plot(ratio_log);
+ title('Preamble ratio');
+ end
+endfunction
+
+
+% attempt to perform "coarse sync" sync with the received frames, we
+% check each frame for the best coarse sync position. Brute force
+% approach, that would be changed for a real demod which has some
+% sort of unique word. Start looking for valid frames 1 frame
+% after start of pre-amble to give PLL time to lock
+
+function [total_errors total_bits Nerrs_log Nerrs_all_log errors_log] = coarse_sync_ber(nframes_rx, tx_frame, rx_bits)
+
+ Nerrs_log = zeros(1, nframes_rx);
+ Nerrs_all_log = zeros(1, nframes_rx);
+ total_errors = 0;
+ total_bits = 0;
+ framesize = length(tx_frame);
+ errors_log = [];
+
+ for f=2:nframes_rx-1
+ Nerrs_min = framesize;
+ for i=1:framesize;
+ st = (f-1)*framesize+i; en = st+framesize-1;
+ errors = xor(rx_bits(st:en), tx_frame);
+ Nerrs = sum(errors);
+ if Nerrs < Nerrs_min
+ Nerrs_min = Nerrs;
+ errors_min = errors;
+ end
+ end
+ Nerrs_all_log(f) = Nerrs_min;
+ if Nerrs_min/framesize < 0.1
+ errors_log = [errors_log errors_min];
+ Nerrs_log(f) = Nerrs_min;
+ total_errors += Nerrs_min;
+ total_bits += framesize;
+ end
+ end
+endfunction
+
+function plot_spectrum(gmsk_states, rx, preamble_location, title_str)
+ Fs = gmsk_states.Fs;
+ st = preamble_location + gmsk_states.npreamble*gmsk_states.M;
+ sig = rx(st:st+Fs*0.5);
+ h = hanning(length(sig))';
+ Rx=20*log10(abs(fftshift(fft(sig .* h, Fs))));
+ figure;
+ plot(-Fs/2:Fs/2-1,Rx);
+ grid("minor");
+ xlabel('Hz');
+ ylabel('dB');
+ topy = ceil(max(Rx)/10)*10;
+ axis([-4000 4000 topy-50 topy+10])
+ title(title_str);
+endfunction
+
+% Give the demod a hard time: frequency, phase, time offsets, sample clock difference
+
+function run_test_channel_impairments
+ Rs = 1200;
+ verbose = 1;
+ aEbNodB = 6;
+ phase_offset = pi/2;
+ freq_offset = -104;
+ timing_offset = 100E3;
+ sample_clock_offset_ppm = -500;
+ interferer_freq = -1500;
+ interferer_amp = 0;
+ nsym = 4800*2;
+ npreamble = 480;
+
+ gmsk_states.npreamble = npreamble;
+ gmsk_states.verbose = verbose;
+ gmsk_states.coherent_demod = 1;
+ gmsk_states.phase_track = 1;
+ gmsk_states = gmsk_init(gmsk_states, Rs);
+ Fs = gmsk_states.Fs;
+ Rs = gmsk_states.Rs;
+ M = gmsk_states.M;
+
+ % A frame consists of nsym random data bits. Some experimentation
+ % has shown they must be random-ish data (not say 11001100...) for
+ % timing estimator to work. However initial freq offset estimation
+ % is a lot easier with a 01010 type sequence, so we construct a
+ % frame with a pre-amble followed by frames of random data.
+
+ framesize = 480;
+ nframes = floor(nsym/framesize);
+ tx_frame = round(rand(1, framesize));
+ tx_bits = zeros(1,npreamble);
+ tx_bits(1:2:npreamble) = 1;
+ for i=1:nframes
+ tx_bits = [tx_bits tx_frame];
+ end
+
+ [tx tx_filt tx_symbols] = gmsk_mod(gmsk_states, tx_bits);
+
+ tx = resample(tx, 1E6, 1E6-sample_clock_offset_ppm);
+ tx = [zeros(1,timing_offset) tx];
+ nsam = length(tx);
+
+ if verbose > 1
+ figure;
+ subplot(211)
+ st = timing_offset; en = st+M*10;
+ plot(real(tx(st:en)))
+ title('Real part of tx');
+ subplot(212)
+ plot(imag(tx(st:en)))
+ title('Imag part of tx');
+ end
+
+ EbNo = 10^(aEbNodB/10);
+ variance = Fs/(Rs*EbNo);
+ noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+ w = (0:nsam-1)*2*pi*freq_offset/Fs + phase_offset;
+ interferer = interferer_amp*exp(j*interferer_freq*(2*pi/Fs)*(0:nsam-1));
+
+ rx = sqrt(2)*tx.*exp(j*w) + noise + interferer;
+
+ % optional dump to file
+
+ if 1
+ fc = 1500; gain = 10000;
+ wc = 2*pi*fc/Fs;
+ w1 = exp(j*wc*(1:nsam));
+ rx1 = gain*real(rx .* w1);
+ fout = fopen("rx_6dB.raw","wb");
+ fwrite(fout, rx1, "short");
+ fclose(fout);
+ end
+
+ rx = rx1 .* conj(w1);
+
+ [preamble_location freq_offset_est] = find_preamble(gmsk_states, M, npreamble, rx);
+ w_est = (0:nsam-1)*2*pi*freq_offset_est/Fs;
+ rx = rx.*exp(-j*w_est);
+
+ plot_spectrum(gmsk_states, rx, preamble_location, "GMSK rx just after preamble");
+
+ % printf("ntx: %d nrx: %d ntx_bits: %d\n", length(tx), length(rx), length(tx_bits));
+
+ [rx_bits rx_out rx_filt] = gmsk_demod(gmsk_states, rx(preamble_location+framesize:nsam));
+ nframes_rx = length(rx_bits)/framesize;
+
+ % printf("ntx: %d nrx: %d ntx_bits: %d nrx_bits: %d\n", length(tx), length(rx), length(tx_bits), length(rx_bits));
+
+ [total_errors total_bits Nerrs_log Nerrs_all_log] = coarse_sync_ber(nframes_rx, tx_frame, rx_bits);
+
+ ber = total_errors/total_bits;
+
+ printf("Eb/No: %3.1f f_off: %4.1f ph_off: %4.3f Nframes: %d Nbits: %d Nerrs: %d BER: %f\n",
+ aEbNodB, freq_offset, phase_offset, nframes_rx, total_bits, total_errors, ber);
+
+ figure;
+ clf
+ subplot(211)
+ plot(Nerrs_log,'r;errors/frame counted for BER;');
+ hold on;
+ plot(Nerrs_all_log,'g;all errors/frame;');
+ hold off;
+ legend("boxoff");
+ title('Bit Errors')
+ subplot(212)
+ stem(real(cumsum(Nerrs_log)))
+ title('Cumulative Bit Errors')
+
+endfunction
+
+
+% Generates a Fs=48kHz raw file of 16 bit samples centred on 1500Hz,
+% Suitable for transmitting with a SSB tx
+
+function gmsk_tx(tx_file_name)
+ rand('state',1);
+ Rs = 1200;
+ nsym = Rs*4;
+ framesize = 480;
+ npreamble = 480;
+ gain = 10000;
+ fc = 1500;
+
+ gmsk_states.verbose = 0;
+ gmsk_states.coherent_demod = 1;
+ gmsk_states.phase_track = 1;
+ gmsk_states = gmsk_init(gmsk_states, Rs);
+ Fs = gmsk_states.Fs;
+ Rs = gmsk_states.Rs;
+ M = gmsk_states.M;
+
+ % generate frame with preamble
+
+ nframes = floor(nsym/framesize)
+ tx_frame = round(rand(1, framesize));
+ tx_bits = zeros(1,npreamble);
+ tx_bits(1:2:npreamble) = 1;
+ for i=1:nframes
+ tx_bits = [tx_bits tx_frame];
+ end
+
+ [tx tx_filt tx_symbols] = gmsk_mod(gmsk_states, tx_bits);
+ nsam = length(tx);
+
+ wc = 2*pi*fc/Fs;
+ w = exp(j*wc*(1:nsam));
+ tx = gain*real(tx .* w);
+ figure;
+ plot(tx(1:4000))
+ fout = fopen(tx_file_name,"wb");
+ fwrite(fout, tx, "short");
+ fclose(fout);
+
+endfunction
+
+
+% Reads a file of Fs=48kHz 16 bit samples centred on 1500Hz, and
+% measures the BER.
+
+function gmsk_rx(rx_file_name, err_file_name)
+ rand('state',1);
+
+ Rs = 1200;
+ framesize = 480;
+ npreamble = 480;
+ fc = 1500;
+
+ gmsk_states.npreamble = npreamble;
+ gmsk_states.verbose = 1;
+ gmsk_states.coherent_demod = 1;
+ gmsk_states.phase_track = 1;
+ gmsk_states = gmsk_init(gmsk_states, Rs);
+ Fs = gmsk_states.Fs;
+ Rs = gmsk_states.Rs;
+ M = gmsk_states.M;
+
+ tx_frame = round(rand(1, framesize));
+
+ % get real signal at fc offset and convert to baseband complex
+ % signal
+
+ fin = fopen(rx_file_name,"rb");
+ rx = fread(fin,"short")';
+ fclose(fin);
+ rx = filter([1 -0.999],[1 -0.99],rx);
+ nsam = length(rx);
+ wc = 2*pi*fc/Fs;
+ w = exp(-j*wc*(1:nsam));
+ rxbb = rx .* w;
+
+ figure;
+ plot(rx);
+
+ % find preamble
+
+ [preamble_location freq_offset_est] = find_preamble(gmsk_states, M, npreamble, rxbb);
+
+ % power of signal, averaged over window
+ % TODO: remove wave file header, scale of actual level
+ % filter so we measure only energy in our passband
+ % work out noise BW of filter. Use GMSK filter?
+
+ [b a] = cheby2(6,40,[200 3000]/(Fs/2));
+ %bpwr_lp = fir2([200,4000/(Fs/2));
+ noise_bw = var(filter(b,a,randn(1,1E6)));
+
+ rx_filt = filter(b, a, rx(1000:length(rx)));
+ npower_window = 200*M;
+ rx_power = conv(rx_filt.^2,ones(1,npower_window))/(npower_window);
+ rx_power_dB = 10*log10(rx_power);
+ figure;
+ subplot(211)
+ plot(rx_filt(1000:length(rx_filt)));
+ title('GMSK Power (narrow filter)');
+ subplot(212)
+ plot(rx_power_dB);
+ axis([1 length(rx_power) max(rx_power_dB)-29 max(rx_power_dB)+1])
+ grid("minor")
+
+ % Work out where to sample N, and S+N
+
+ noise_end = preamble_location - 2*npreamble*M;
+ noise_start = noise_end - Fs;
+ if noise_start < 1
+ printf("Hmm, we really need >1 second of noise only before preamble to measure noise!\n");
+ else
+ noise = mean(rx_power_dB(noise_start:noise_end));
+ signal_noise_start = preamble_location + 2*npreamble*M;
+ signal_noise_end = signal_noise_start + Fs;
+ signal_noise = mean(rx_power_dB(signal_noise_start:signal_noise_end));
+ hold on;
+ plot([noise_start noise_end],[noise noise],'color','r','linewidth',5);
+ plot([signal_noise_start signal_noise_end],[signal_noise signal_noise],'color','r','linewidth',5);
+
+ % determine SNR
+
+ noise_lin = 10 ^ (noise/10);
+ signal_noise_lin = 10 ^ (signal_noise/10);
+ signal_lin = signal_noise_lin - noise_lin;
+ signal = 10*log10(signal_lin);
+ snr = signal - noise;
+ fudge_factor = 3; % 3dB for single/double sided noise adjustment? Just a guess
+ CNo = snr + 10*log10(Fs*noise_bw) - fudge_factor;
+ EbNo = CNo - 10*log10(Rs);
+
+ EbNo_lin = 10 .^ (EbNo/10);
+ alpha = 0.75; % guess for BT=0.5 GMSK
+ ber_theory = 0.5*erfc(sqrt(alpha*EbNo_lin));
+
+ printf("Estimated S: %3.1f N: %3.1f Nbw: %4.0f Hz SNR: %3.1f CNo: %3.1f EbNo: %3.1f BER theory: %f\n",
+ signal, noise, Fs*noise_bw, snr, CNo, EbNo, ber_theory);
+
+ % FM signal is centred on 12 kHz and 16 kHz wide so lets also work out noise there
+
+ [b a] = cheby2(6,40,[12000-8000 12000+8000]/(Fs/2));
+ noise_bw_fm = var(filter(b,a,randn(1,1E6)));
+
+ rx_filt_fm = filter(b, a, rx(1000:length(rx)));
+ rx_power_fm = conv(rx_filt_fm.^2,ones(1,npower_window))/(npower_window);
+ rx_power_dB_fm = 10*log10(rx_power_fm);
+
+ noise = mean(rx_power_dB_fm(noise_start:noise_end))*ones(1, length(rx_power_fm));
+ noise_lin = 10 .^ (noise/10);
+
+ signal_lin = rx_power_fm - noise_lin;
+ signal = 10*log10(abs(signal_lin) + 1E-6);
+ snr = signal - noise;
+
+ CNo = snr + 10*log10(Fs*noise_bw_fm) - fudge_factor;
+
+ figure
+ plot(rx_power_dB_fm,'r;signal plus noise;');
+ hold on;
+ plot(CNo,'g;C/No;');
+ hold off;
+ top_fm = ceil(max(CNo)/10)*10;
+ axis([1 length(rx_power_dB_fm) 20 top_fm])
+ grid("minor")
+ legend("boxoff");
+ title('FM C/No');
+ end
+
+ % spectrum of a chunk of GMSK signal just after preamble
+
+ plot_spectrum(gmsk_states, rx, preamble_location, "GMSK rx just after preamble");
+
+ % correct freq offset and demodulate
+
+ w_est = (0:nsam-1)*2*pi*freq_offset_est/Fs;
+ rxbb = rxbb.*exp(-j*w_est);
+ st = preamble_location+npreamble*M;
+ %en = min(nsam,st + 4*framesize*M);
+ en = nsam;
+ gmsk_statres.verbose = 2;
+ [rx_bits rx_out rx_filt] = gmsk_demod(gmsk_states, rxbb(st:en));
+ nframes_rx = length(rx_bits)/framesize;
+
+ % count errors
+
+ [total_errors total_bits Nerrs_log Nerrs_all_log errors_log] = coarse_sync_ber(nframes_rx, tx_frame, rx_bits);
+
+ ber = total_errors/total_bits;
+
+ printf("Nframes: %d Nbits: %d Nerrs: %d BER: %f\n",
+ nframes_rx, total_bits, total_errors, ber);
+
+ % Optionally save a file of bit errors so we can simulate the effect on Codec 2
+
+ if nargin == 2
+
+ % To simulate effects of these errors on Codec 2:
+ % $ ~/codec2-dev/octave$ ../build_linux/src/c2enc 1300 ../raw/hts1raw - | ../build_linux/src/insert_errors - - ssb7dbSNR.err 52 | ../build_linux/src/c2dec 1300 - - | play -t raw -r 8000 -s -2 -
+ % Note in this example I'm using the 1300 bit/s codec, it's sig more robust that 1200 bit/s,
+ % if we ran the GMSK modem at 1300 bit/s there would be a 10*log10(1300/1200) = 0.35dB SNR penalty
+
+ fep=fopen(err_file_name,"wb"); fwrite(fep, errors_log, "short"); fclose(fep);
+ end
+
+ figure;
+ clf
+ subplot(211)
+ plot(Nerrs_log,'r;errors/frame counted for BER;');
+ hold on;
+ plot(Nerrs_all_log,'g;all errors/frame;');
+ hold on;
+ title('Bit Errors')
+ legend("boxoff");
+ subplot(212)
+ stem(real(cumsum(Nerrs_log)))
+ title('Cumulative Bit Errors')
+endfunction
+
+
+%run_gmsk_single
+%run_gmsk_curves
+%run_gmsk_init
+%run_test_channel_impairments
+gmsk_tx("test_gmsk.raw")
+gmsk_rx("test_gmsk.raw")
+%gmsk_rx("ssb25db.wav")
+%gmsk_rx("~/Desktop/ssb_fm_gmsk_high.wav")
+%gmsk_rx("~/Desktop/test_gmsk_28BER.raw")
+%gmsk_rx("~/Desktop/gmsk_rec_reverse.wav")
+
diff --git a/libcodec2-android/src/codec2/octave/gp_interleaver.m b/libcodec2-android/src/codec2/octave/gp_interleaver.m
new file mode 100644
index 0000000..1ee0ee3
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/gp_interleaver.m
@@ -0,0 +1,46 @@
+% gp_interleaver.m
+%
+% David Rowe May 2017
+%
+% Golden Prime Interleaver. My interprestation of "On the Analysis and
+% Design of Good Algebraic Interleavers", Xie et al,eq (5).
+
+1;
+
+% Choose b for Golden Prime Interleaver. b is chosen to be the
+% closest integer, which is relatively prime to N, to the Golden
+% section of N.
+
+function b = choose_interleaver_b(Nbits)
+
+ p = primes(Nbits);
+ i = 1;
+ while(p(i) < Nbits/1.62)
+ i++;
+ end
+ b = p(i);
+ assert(gcd(b,Nbits) == 1, "b and Nbits must be co-prime");
+end
+
+
+function interleaved_frame = gp_interleave(frame)
+ Nbits = length(frame);
+ b = choose_interleaver_b(Nbits);
+ interleaved_frame = zeros(1,Nbits);
+ for i=1:Nbits
+ j = mod((b*(i-1)), Nbits);
+ interleaved_frame(j+1) = frame(i);
+ end
+endfunction
+
+
+function frame = gp_deinterleave(interleaved_frame)
+ Nbits = length(interleaved_frame);
+ b = choose_interleaver_b(Nbits);
+ frame = zeros(1,Nbits);
+ for i=1:Nbits
+ j = mod((b*(i-1)), Nbits);
+ frame(i) = interleaved_frame(j+1);
+ end
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/h0p25d.mat b/libcodec2-android/src/codec2/octave/h0p25d.mat
new file mode 100644
index 0000000..485b693
Binary files /dev/null and b/libcodec2-android/src/codec2/octave/h0p25d.mat differ
diff --git a/libcodec2-android/src/codec2/octave/hackrf_dc.m b/libcodec2-android/src/codec2/octave/hackrf_dc.m
new file mode 100644
index 0000000..a204e70
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/hackrf_dc.m
@@ -0,0 +1,26 @@
+% hackrf_dc.m
+%
+% David Rowe Nov 2015
+%
+% Downconverts a HackRF IQ sample file to a lower sample rate
+%
+% To sample a -60dB signal:
+% $ hackrf_transfer -r df1.iq -f 439200000 -n 10000000 -l 20 -g 40play file at 10.7MHz used:
+% octave:25> d = hackrf_dc("df1.iq")
+
+function d = hackrf_dc(infilename)
+ Fs1 = 10E6; % input sample rate to HackRF
+ Fs2 = 96E3; % output sample rate
+ fc = 700E3; % offset to shift input by, HackRF doesn't like signals in the centre
+
+ s1 = load_hackrf(infilename);
+ ls1 = length(s1);
+ ls1 = 20*Fs1;
+ t = 0:ls1-1;
+
+ % shift down to baseband from Fc, not sure of rot90 rather than trasnpose operator '
+ % to avoid unwanted complex conj
+
+ s2 = rot90(s1(1:ls1)) .* exp(-j*2*pi*t*fc/Fs1);
+ d = resample(s2, Fs2, Fs1);
+end
diff --git a/libcodec2-android/src/codec2/octave/hackrf_twotone.m b/libcodec2-android/src/codec2/octave/hackrf_twotone.m
new file mode 100644
index 0000000..1d5aa02
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/hackrf_twotone.m
@@ -0,0 +1,24 @@
+% hackrf_twotone.m
+%
+% David Rowe Nov 2015
+%
+% Generates a two tone test signal that can be played out of HackRF
+%
+% To play file at 10.7MHz used:
+% $ hackrf_transfer -t ../octave/twotone.iq -f 10000000 -a 0 -x 47
+%
+% However 2nd harmonic at 21.4 was only -32dBC so not really useful for my application
+% in testing an ADC
+
+Fs = 8E6;
+fc = 2E6;
+f1 = fc;
+f2 = fc+1E3;
+A = 127;
+T = 2;
+
+N = T*Fs;
+t = 0:N-1;
+%s = A*exp(j*2*pi*t*f1/Fs) + A*exp(j*2*pi*t*f2/Fs);
+s = A*exp(j*2*pi*t*f2/Fs);
+save_hackrf("twotone.iq",s);
diff --git a/libcodec2-android/src/codec2/octave/hackrf_uc.m b/libcodec2-android/src/codec2/octave/hackrf_uc.m
new file mode 100644
index 0000000..0f55bd1
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/hackrf_uc.m
@@ -0,0 +1,47 @@
+% hackrf_uc.m
+%
+% David Rowe Nov 2015
+%
+% Upconverts a real baseband sample file to a file suitable for input into a HackRF
+%
+% To play file at 10.7MHz used:
+% octave:25> hackrf_uc("fsk_10M.iq","fsk_horus_rx_1200_96k.raw")
+% $ hackrf_transfer -t ../octave/fsk_10M.iq -f 10000000 -a 1 -x 40
+
+function hackrf_uc(outfilename, infilename)
+ pkg load signal;
+ Fs1 = 48E3; % input sample rate
+ Fs2 = 10E6; % output sample rate to HackRF
+ fc = 700E3-24E3; % offset to shift to, HackRF doesn't like signals in the centre
+ A = 100; % amplitude of signal after upc-nversion (max 127)
+ N = Fs1*20;
+
+ fin = fopen(infilename,"rb");
+ printf("1\n");
+ s1 = fread(fin,"short");
+ printf("1\n");
+ fclose(fin);
+ printf("1\n");
+ ls1 = length(s1);
+ printf("1\n");
+ N = ls1;
+ % single sided freq shifts, we don't want DSB
+ printf("1\n");
+ s1 = hilbert(s1(1:N));
+
+ % upsample to Fs2
+
+ M = Fs2/Fs1;
+ s2 = resample(s1(1:N),Fs2,Fs1);
+ ls2 = length(s2);
+ mx = max(abs(s2));
+ t = 0:ls2-1;
+ printf("2\n");
+ % shift up to Fc, note use of rot90 rather than trasnpose operator '
+ % as we don't want complex conj, that would shift down in freq
+
+ sout = rot90((A/mx)*s2) .* exp(j*2*pi*t*fc/Fs2);
+
+ save_hackrf(outfilename,sout);
+
+end
diff --git a/libcodec2-android/src/codec2/octave/hf_modem_curves.m b/libcodec2-android/src/codec2/octave/hf_modem_curves.m
new file mode 100644
index 0000000..d98d40e
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/hf_modem_curves.m
@@ -0,0 +1,272 @@
+% hf_modem_curves
+% David Rowe Feb 2017
+%
+% Ideal implementations of a bunch of different HF modems, used to
+% generate plots for a blog post.
+
+#{
+ [X] ideal AWGN/HF curves
+ [X] exp AWGN QPSK curves
+ [X] exp AWGN DQPSK curves
+ [X] exp HF channel model
+ [ ] diversity
+ [ ] COHPSK frames
+ + would require multiple carriers
+ + filtering or OFDM
+#}
+
+1;
+
+% Gray coded QPSK modulation function
+
+function symbol = qpsk_mod(two_bits)
+ two_bits_decimal = sum(two_bits .* [2 1]);
+ switch(two_bits_decimal)
+ case (0) symbol = 1;
+ case (1) symbol = j;
+ case (2) symbol = -j;
+ case (3) symbol = -1;
+ endswitch
+endfunction
+
+
+% Gray coded QPSK demodulation function
+
+function two_bits = qpsk_demod(symbol)
+ bit0 = real(symbol*exp(j*pi/4)) < 0;
+ bit1 = imag(symbol*exp(j*pi/4)) < 0;
+ two_bits = [bit1 bit0];
+endfunction
+
+
+% Rate Rs modem simulation model -------------------------------------------------------
+
+function sim_out = ber_test(sim_in)
+ bps = 2; % two bits/symbol for QPSK
+ Rs = 50; % symbol rate (needed for HF model)
+
+ verbose = sim_in.verbose;
+ EbNovec = sim_in.EbNovec;
+ hf_en = sim_in.hf_en;
+
+ % user can supply number of bits per point to get good results
+ % at high Eb/No
+
+ if length(sim_in.nbits) > 1
+ nbitsvec = sim_in.nbits;
+ nbitsvec += 100 - mod(nbitsvec,100); % round up to nearest 100
+ else
+ nbitsvec(1:length(EbNovec)) = sim_in.nbits;
+ end
+
+ % init HF model
+
+ if hf_en
+
+ % some typical values
+
+ dopplerSpreadHz = 1.0; path_delay = 1E-3*Rs;
+
+ nsymb = max(nbitsvec)/2;
+ spread1 = doppler_spread(dopplerSpreadHz, Rs, nsymb);
+ spread2 = doppler_spread(dopplerSpreadHz, Rs, nsymb);
+ hf_gain = 1.0/sqrt(var(spread1)+var(spread2));
+ % printf("nsymb: %d lspread1: %d\n", nsymb, length(spread1));
+ end
+
+ for ne = 1:length(EbNovec)
+
+ % work out noise power -------------
+
+ EbNodB = EbNovec(ne);
+ EsNodB = EbNodB + 10*log10(bps);
+ EsNo = 10^(EsNodB/10);
+ variance = 1/EsNo;
+ nbits = nbitsvec(ne);
+ nsymb = nbits/bps;
+
+ % modulator ------------------------
+
+ tx_bits = rand(1,nbits) > 0.5;
+ tx_symb = [];
+ prev_tx_symb = 1;
+ for s=1:nsymb
+ atx_symb = qpsk_mod(tx_bits(2*s-1:2*s));
+ if sim_in.dqpsk
+ atx_symb *= prev_tx_symb;
+ prev_tx_symb = atx_symb;
+ end
+ tx_symb = [tx_symb atx_symb];
+ end
+
+ % channel ---------------------------
+
+ rx_symb = tx_symb;
+
+ if hf_en
+
+ % simplified rate Rs simulation model that doesn't include
+ % ISI, just freq filtering. We assume perfect phase estimation
+ % so it's just amplitude distortion.
+
+ hf_model1 = hf_model2 = zeros(1, nsymb);
+ for s=1:nsymb
+ hf_model1(s) = hf_gain*(spread1(s) + exp(-j*path_delay)*spread2(s));
+ hf_model = abs(hf_model1(s));
+
+ if sim_in.diversity
+ % include amplitude information from another frequency in channel model
+ w1 = 7*2*pi;
+ hf_model2(s) = hf_gain*(spread1(s) + exp(-j*w1*path_delay)*spread2(s));
+ hf_model = 0.5*abs(hf_model1(s)) + 0.5*abs(hf_model2(s));
+ end
+
+ rx_symb(s) = rx_symb(s).*hf_model;
+ end
+ end
+
+ % variance is noise power, which is divided equally between real and
+ % imag components of noise
+
+ noise = sqrt(variance*0.5)*(randn(1,nsymb) + j*randn(1,nsymb));
+ rx_symb += noise;
+
+ % demodulator ------------------------------------------
+
+ % demodulate rx symbols to bits
+
+ rx_bits = [];
+ prev_rx_symb = 1;
+ for s=1:nsymb
+ arx_symb = rx_symb(s);
+ if sim_in.dqpsk
+ tmp = arx_symb;
+ arx_symb *= prev_rx_symb';
+ prev_rx_symb = tmp;
+ end
+ two_bits = qpsk_demod(arx_symb);
+ rx_bits = [rx_bits two_bits];
+ end
+
+ % count errors -----------------------------------------
+
+ error_pattern = xor(tx_bits, rx_bits);
+ nerrors = sum(error_pattern);
+ bervec(ne) = nerrors/nbits;
+ if verbose
+ printf("EbNodB: % 3.1f nbits: %5d nerrors: %5d ber: %4.3f\n", EbNodB, nbits, nerrors, bervec(ne));
+ if verbose == 2
+ figure(2); clf;
+ plot(rx_symb*exp(j*pi/4),'+','markersize', 10);
+ mx = max(abs(rx_symb));
+ axis([-mx mx -mx mx]);
+ if sim_in.diversity && sim_in.hf_en
+ figure(3);
+ plot(1:nsymb, abs(hf_model1), 1:nsymb, abs(hf_model2), 'linewidth', 2);
+ end
+ end
+ end
+ end
+
+ sim_out.bervec = bervec;
+endfunction
+
+
+% -------------------------------------------------------------
+
+
+function run_single
+ sim_in.verbose = 2;
+ sim_in.nbits = 1000;
+ sim_in.EbNovec = 4;
+ sim_in.dqpsk = 0;
+ sim_in.hf_en = 0;
+ sim_in.diversity = 0;
+
+ sim_qpsk = ber_test(sim_in);
+endfunction
+
+
+function run_curves
+ max_nbits = 1E5;
+ sim_in.verbose = 1;
+ sim_in.EbNovec = 0:10;
+ sim_in.dqpsk = 0;
+ sim_in.hf_en = 0;
+ sim_in.diversity = 0;
+
+ % AWGN -----------------------------
+
+ ber_awgn_theory = 0.5*erfc(sqrt(10.^(sim_in.EbNovec/10)));
+ sim_in.nbits = min(max_nbits, floor(500 ./ ber_awgn_theory));
+
+ sim_qpsk = ber_test(sim_in);
+ sim_in.dqpsk = 1;
+ sim_dqpsk = ber_test(sim_in);
+
+ % HF -----------------------------
+
+ hf_sim_in = sim_in; hf_sim_in.dqpsk = 0; hf_sim_in.hf_en = 1;
+ hf_sim_in.EbNovec = 0:16;
+
+ EbNoLin = 10.^(hf_sim_in.EbNovec/10);
+ ber_hf_theory = 0.5.*(1-sqrt(EbNoLin./(EbNoLin+1)));
+
+ hf_sim_in.nbits = min(max_nbits, floor(500 ./ ber_hf_theory));
+ sim_qpsk_hf = ber_test(hf_sim_in);
+
+ hf_sim_in.dqpsk = 1;
+ sim_dqpsk_hf = ber_test(hf_sim_in);
+
+ hf_sim_in.dqpsk = 0;
+ hf_sim_in.diversity = 1;
+ sim_qpsk_hf_div = ber_test(hf_sim_in);
+
+ % Plot results --------------------
+
+ close all;
+ figure (1, 'position', [100, 10, 600, 400]); clf;
+
+ semilogy(sim_in.EbNovec, ber_awgn_theory,'r+-;QPSK AWGN theory;', 'linewidth', 2)
+ xlabel('Eb/No (dB)')
+ ylabel('BER')
+ grid("minor")
+ axis([min(sim_in.EbNovec) max(sim_in.EbNovec) 1E-3 1])
+ hold on;
+
+ semilogy([0 4 4], [ber_awgn_theory(5) ber_awgn_theory(5) 1E-3],'k--', 'linewidth', 2);
+ hold off;
+
+ figure (2, 'position', [300, 10, 600, 400]); clf;
+ semilogy(sim_in.EbNovec, ber_awgn_theory,'r+-;QPSK AWGN theory;','markersize', 10, 'linewidth', 2)
+ hold on;
+ semilogy(sim_in.EbNovec, sim_qpsk.bervec,'g+-;QPSK AWGN simulated;','markersize', 10, 'linewidth', 2)
+ semilogy(sim_in.EbNovec, sim_dqpsk.bervec,'b+-;DQPSK AWGN simulated;','markersize', 10, 'linewidth', 2)
+ xlabel('Eb/No (dB)')
+ ylabel('BER')
+ grid("minor")
+ axis([min(sim_in.EbNovec) max(sim_in.EbNovec) 1E-3 1])
+
+ figure (3, 'position', [400, 10, 600, 400]); clf;
+ semilogy(sim_in.EbNovec, ber_awgn_theory,'r+-;QPSK AWGN theory;','markersize', 10, 'linewidth', 2)
+ hold on;
+ semilogy(sim_in.EbNovec, sim_qpsk.bervec,'g+-;QPSK AWGN simulated;','markersize', 10, 'linewidth', 2)
+ semilogy(sim_in.EbNovec, sim_dqpsk.bervec,'b+-;DQPSK AWGN simulated;','markersize', 10, 'linewidth', 2)
+ semilogy(hf_sim_in.EbNovec, ber_hf_theory,'r+-;QPSK HF theory;','markersize', 10, 'linewidth', 2)
+ semilogy(hf_sim_in.EbNovec, sim_dqpsk_hf.bervec,'b+-;DQPSK HF simulated;','markersize', 10, 'linewidth', 2)
+ semilogy(hf_sim_in.EbNovec, sim_qpsk_hf.bervec,'g+-;QPSK HF simulated;','markersize', 10, 'linewidth', 2)
+ semilogy(hf_sim_in.EbNovec, sim_qpsk_hf_div.bervec,'c+-;QPSK Diversity HF simulated;','markersize', 10, 'linewidth', 2)
+ hold off;
+ xlabel('Eb/No (dB)')
+ ylabel('BER')
+ grid("minor")
+ axis([min(hf_sim_in.EbNovec) max(hf_sim_in.EbNovec) 1E-3 1])
+
+endfunction
+
+% -------------------------------------------------------------
+
+more off;
+rand('seed',1); randn('seed', 1);
+run_curves
+#run_single
diff --git a/libcodec2-android/src/codec2/octave/hf_sim.m b/libcodec2-android/src/codec2/octave/hf_sim.m
new file mode 100644
index 0000000..c9105c0
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/hf_sim.m
@@ -0,0 +1,78 @@
+% hf_sim.m
+% David Rowe March 2014
+%
+% Two path CCIR poor HF channel simulation, with apaologies to PathSim
+
+% Init HF channel model from stored sample files of spreading signal ----------------------------------
+
+global spread;
+global spread_2ms;
+global hf_gain;
+
+% convert "spreading" samples from 1kHz carrier at Fs to complex
+% baseband, generated by passing a 1kHz sine wave through PathSim with
+% the ccir-poor model, enabling one path at a time. Because I'm too
+% lazy to generate my own spreading signals
+
+Fc = 1000; Fs=8000;
+fspread = fopen("../raw/sine1k_2Hz_spread.raw","rb");
+spread1k = fread(fspread, "int16")/10000;
+fclose(fspread);
+fspread = fopen("../raw/sine1k_2ms_delay_2Hz_spread.raw","rb");
+spread1k_2ms = fread(fspread, "int16")/10000;
+fclose(fspread);
+
+% down convert to complex baseband
+
+spreadbb = spread1k.*exp(-j*(2*pi*Fc/Fs)*(1:length(spread1k))');
+spreadbb_2ms = spread1k_2ms.*exp(-j*(2*pi*Fc/Fs)*(1:length(spread1k_2ms))');
+
+% remove -2000 Hz image
+
+b = fir1(50, 5/Fs);
+spread = filter(b,1,spreadbb);
+spread_2ms = filter(b,1,spreadbb_2ms);
+
+% discard first 1000 samples as these were near 0, probably as
+% PathSim states were ramping up
+
+spread = spread(1000:length(spread));
+spread_2ms = spread_2ms(1000:length(spread_2ms));
+
+hf_gain = 1.0/sqrt(var(spread)+var(spread_2ms));
+
+% This function simulates the HF channel at 8kHz for real signals. A
+% good use case is passing a vector of speech samples through it to
+% simulate SSB over HF. There's a really good reason for the 300 -
+% 3000 Hz filter that escapes me right now :-)
+
+function [sim_out snr3kHz_measured ] = hf_sim_real(sim_in, snr3kHz)
+
+ % 300 - 3000 Hz filter
+
+ b = fir1(100,[300/4000, 3000/4000], 'pass');
+
+ % det power of unit variance noise passed through this filter
+
+ filter_var = var(filter(b,1,randn(1000,1)));
+
+ % Start simulation
+
+ s = hilbert(filter(b,1,sim_in));
+ n1 = length(s); n2 = length(spread);
+ n = min(n1,n2);
+ path1 = s(1:n) .* spread(1:n);
+ path2 = s(1:n) .* spread_2ms(1:n);
+ delay = floor(0.002*Fs);
+
+ combined = path1(delay+1:n) + path2(1:n-delay);
+
+ snr = 10 .^ (snr3kHz/10);
+ variance = (combined'*combined)/(snr*n);
+ noise = sqrt(variance*0.5/filter_var)*(randn(n-delay,1) + j*randn(n-delay,1));
+ filtered_noise = filter(b,1,noise);
+
+ sim_out = real(combined+filtered_noise);
+ snr3kHz_measured = 10*log10(var(real(combined))/var(real(filtered_noise)));
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/horus_high_speed.bin b/libcodec2-android/src/codec2/octave/horus_high_speed.bin
new file mode 100644
index 0000000..8d5b1f3
Binary files /dev/null and b/libcodec2-android/src/codec2/octave/horus_high_speed.bin differ
diff --git a/libcodec2-android/src/codec2/octave/horus_msg.txt b/libcodec2-android/src/codec2/octave/horus_msg.txt
new file mode 100644
index 0000000..882a9b3
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/horus_msg.txt
@@ -0,0 +1 @@
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diff --git a/libcodec2-android/src/codec2/octave/horus_payload_rtty.txt b/libcodec2-android/src/codec2/octave/horus_payload_rtty.txt
new file mode 100644
index 0000000..882a9b3
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/horus_payload_rtty.txt
@@ -0,0 +1 @@
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0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00
diff --git a/libcodec2-android/src/codec2/octave/horus_tx_bits_binary.txt b/libcodec2-android/src/codec2/octave/horus_tx_bits_binary.txt
new file mode 100644
index 0000000..2a688b0
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/horus_tx_bits_binary.txt
@@ -0,0 +1 @@
+0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0
\ No newline at end of file
diff --git a/libcodec2-android/src/codec2/octave/hp_filt.m b/libcodec2-android/src/codec2/octave/hp_filt.m
new file mode 100644
index 0000000..1087bb9
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/hp_filt.m
@@ -0,0 +1,12 @@
+% hp_filt.m
+% David Rowe 20 Feb 2012
+
+function hp_filt(in_file, out_file)
+ fin = fopen(in_file,"rb");
+ s = fread(fin,Inf,"short");
+ b = fir1(256, 300/4000, "high");
+ freqz(b);
+ s_hpf = filter(b,1,s);
+ fout = fopen(out_file,"wb");
+ fwrite(fout, s_hpf, "short");
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/impulse_noise.m b/libcodec2-android/src/codec2/octave/impulse_noise.m
new file mode 100644
index 0000000..dee5c5d
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/impulse_noise.m
@@ -0,0 +1,122 @@
+% impulse_noise
+% David Rowe May 2017
+%
+% Experiments with impulsive noise and HF radio
+
+format;
+more off;
+rand('seed',1)
+
+% DFT function ------------------------------------------------
+% note k is on 0..K-1 format, unlike Octave fft() which is 1..K
+
+function H = calc_H(k, K, a, d)
+ L = length(d);
+ H = 0;
+ for i=1:L
+ H += a(i)*exp(-j*2*pi*k*d(i)/K);
+ end
+endfunction
+
+% -----------------------------------------
+% PWM noise simulation
+% -----------------------------------------
+
+function pwm_noise
+
+ Fs = 10E6; % sample rate of simulation
+ Fsig = 1E6; % frequency of our wanted signal
+ Fpwm = 255E3; % switcher PWM frequency
+ T = 1; % length of simulations in seconds
+ Nsam = T*Fs;
+ Nsamplot = 200;
+ Apwm = 0.1;
+ Asig = -40; % attenuation of wanted signal in dB
+
+ % generate an impulse train with jitter to simulate switcher noise
+
+ pwm = zeros(1,Fs);
+ Tpwm = floor(Fs/Fpwm);
+ pulse_positions_pwm = Tpwm*(1:T*Fpwm) + round(rand(1,T*Fpwm));
+
+ h_pwm = zeros(1,Nsam);
+ h_pwm(pulse_positions_pwm) = Apwm;
+ h_pwm = h_pwm(1:Nsam);
+
+ % add in wanted signal and computer amplitude spectrum
+
+ s = 10^(Asig/20)*cos(2*pi*Fsig*(1:Nsam)/Fs);
+
+ h = h_pwm+s;
+ H = fft(h);
+ Hdb = 20*log10(abs(H)) - 20*log10(Nsam/2);
+
+ figure(1); clf;
+ subplot(211)
+ plot(h(1:Nsamplot));
+ subplot(212)
+ plot(Hdb(1:Nsam/2));
+ axis([0 T*2E6 -120 0]); xlabel('Frequency Hz'); ylabel('Amplityude dBV'); grid;
+
+ printf("pwm rms: %f signal rms: %f noise rms\n", std(h_pwm), std(s));
+endfunction
+
+% -----------------------------------------
+% Single pulse noise simulation
+% -----------------------------------------
+
+function pulse_noise
+
+ % set up short pulse in wide window, consisting of two samples next
+ % to each other
+
+ K = 1024;
+ a(1) = a(2) = 1; d(1) = 10; d(2) = d(1)+1;
+ h = zeros(1,K);
+ h(d(1)) = a(1);
+ h(d(2)) = a(2);
+
+ % mag and phase spectrum, mag spectrum changes slowly
+
+ figure(2); clf;
+ Hfft = fft(h);
+ subplot(311)
+ stem(h(1:100));
+ axis([1 100 -0.2 1.2]);
+ subplot(312)
+ plot(abs(Hfft(1:K/2)),'+');
+ title('Magnitude');
+ subplot(313)
+ plot(angle(Hfft(1:K/2)),'+');
+ title('Phase');
+
+ % simple test to estimate H(k+1) from H(k) --------------------
+
+ % brute force calculation
+
+ k = 300;
+ H = zeros(1,K);
+ H(k-1) = calc_H(k-1, K, a, d);
+ H(k) = calc_H(k, K, a, d);
+ H(k+1) = calc_H(k+1, K, a, d);
+
+ % calculation of k+1 from k using approximation that {d(i)} are
+ % close together compared to M, i.e it's a narrow pulse (assumes we
+ % can estimate d using other means)
+
+ Hk1_ = exp(-j*2*pi*d(1)/K)*H(k);
+
+ % plot zoomed in version around k to compare
+
+ figure(3); clf;
+ plot(H(k-1:k+1),'b+','markersize', 10, 'linewidth', 2);
+ hold on; plot(Hk1_,'g+','markersize', 10, 'linewidth', 2); hold off;
+ title('H(k-1) .... H(k+1)');
+ printf("H(k+1) match: %f dB\n", 20*log10(abs(H(k+1) - Hk1_)));
+endfunction
+
+% Run various simulations here ---------------------------------------------
+
+%pwm_noise
+pulse_noise
+
diff --git a/libcodec2-android/src/codec2/octave/ldpc.m b/libcodec2-android/src/codec2/octave/ldpc.m
new file mode 100644
index 0000000..b79a27f
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ldpc.m
@@ -0,0 +1,155 @@
+% ldpc.m
+%
+% David Rowe 2013
+% Octave functions to help us use the CML LDPC code.
+%
+% Installing CML library
+% ----------------------
+%
+% $ sudo apt-get install liboctave-dev
+% $ wget http://www.iterativesolutions.com/user/image/cml.1.10.zip
+% $ unzip cml.1.10.zip
+% $ patch -p0 < ~/codec2/octave/cml.patch
+% $ cd cml/source
+% $ octave --no-gui
+% octave:> make
+% (you'll see a few warnings but hopefully no errors)
+
+1;
+
+function init_cml(path_to_cml)
+ currentdir = pwd;
+
+ if exist(path_to_cml, 'dir') == 7
+ cd(path_to_cml)
+ CmlStartup
+ cd(currentdir);
+ else
+ printf("\n---------------------------------------------------\n");
+ printf("Can't start CML in path: %s\n", path_to_cml);
+ printf("See CML path instructions at top of this script (ldpc.m)\n");
+ printf("-----------------------------------------------------\n\n");
+ assert(0);
+ end
+end
+
+% init using built in WiMax code
+
+function code_param = ldpc_init_wimax(rate, framesize, modulation, mod_order, mapping)
+ [code_param.H_rows, code_param.H_cols, code_param.P_matrix] = InitializeWiMaxLDPC( rate, framesize, 0 );
+ code_param.S_matrix = CreateConstellation( modulation, mod_order, mapping );
+ code_param.bits_per_symbol = log2(mod_order);
+
+ code_param.ldpc_data_bits_per_frame = length(code_param.H_cols) - length(code_param.P_matrix);
+ code_param.ldpc_parity_bits_per_frame = framesize - code_param.ldpc_data_bits_per_frame;
+ code_param.ldpc_coded_bits_per_frame = framesize;
+
+ code_param.data_bits_per_frame = code_param.ldpc_data_bits_per_frame;
+ code_param.coded_bits_per_frame = code_param.ldpc_coded_bits_per_frame;
+ code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
+endfunction
+
+
+% init using user supplied code
+
+function [code_param framesize rate] = ldpc_init_user(HRA, modulation, mod_order, mapping, constellation)
+ [Nr Nc] = size(HRA);
+ rate = (Nc-Nr)/Nc;
+ framesize = Nc;
+ [H_rows, H_cols] = Mat2Hrows(HRA);
+ code_param.H_rows = H_rows;
+ code_param.H_cols = H_cols;
+ code_param.P_matrix = [];
+ if nargin == 5
+ code_param.S_matrix = constellation;
+ else
+ if length(mapping) == 0
+ code_param.S_matrix = CreateConstellation( modulation, mod_order);
+ else
+ code_param.S_matrix = CreateConstellation( modulation, mod_order, mapping );
+ end
+ end
+ code_param.bits_per_symbol = log2(mod_order);
+
+ code_param.ldpc_data_bits_per_frame = length(code_param.H_cols) - length(code_param.P_matrix);
+ code_param.ldpc_parity_bits_per_frame = framesize - code_param.ldpc_data_bits_per_frame;
+ code_param.ldpc_coded_bits_per_frame = framesize;
+
+ % these variables support underfilling frame
+ code_param.data_bits_per_frame = code_param.ldpc_data_bits_per_frame;
+ code_param.coded_bits_per_frame = code_param.ldpc_coded_bits_per_frame;
+ code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
+endfunction
+
+
+function [codeword s] = ldpc_enc(data, code_param)
+ codeword = LdpcEncode( data, code_param.H_rows, code_param.P_matrix );
+ s = Modulate( codeword, code_param.S_matrix );
+endfunction
+
+
+function [detected_data paritychecks] = ldpc_dec(code_param, max_iterations, demod_type, decoder_type, r, EsNo, fading)
+ symbol_likelihood = Demod2D( r, code_param.S_matrix, EsNo, fading);
+
+ % initialize the extrinsic decoder input
+
+ input_somap_c = zeros(1, code_param.ldpc_coded_bits_per_frame );
+ bit_likelihood = Somap( symbol_likelihood, demod_type, input_somap_c );
+
+ input_decoder_c = bit_likelihood(1:code_param.ldpc_coded_bits_per_frame);
+
+ [x_hat paritychecks] = MpDecode( -input_decoder_c, code_param.H_rows, code_param.H_cols, ...
+ max_iterations, decoder_type, 1, 1);
+ [mx mx_ind] = max(paritychecks);
+ detected_data = x_hat(mx_ind,:);
+endfunction
+
+
+% Packs a binary array into an array of 8 bit bytes, MSB first
+
+function packed = packmsb(unpacked)
+ packed = zeros(1,floor(length(unpacked)+7)/8);
+ bit = 7; byte = 1;
+ for i=1:length(unpacked)
+ packed(byte) = bitor(packed(byte), bitshift(unpacked(i),bit));
+ bit--;
+ if (bit < 0)
+ bit = 7;
+ byte++;
+ end
+ end
+endfunction
+
+
+% unpacks an array of 8 bit bytes into a binary array of unpacked bits, MSB first
+
+function unpacked = unpackmsb(packed)
+ bit = 7; byte = 1;
+ for i=1:length(packed)*8
+ unpacked(i) = bitand(bitshift(packed(byte), -bit), 1);
+ bit--;
+ if (bit < 0)
+ bit = 7;
+ byte++;
+ end
+ end
+endfunction
+
+
+% symbol interleaver that acts on bits 2 at a time
+
+function y = interleave_bits(interleaver, x)
+ y = zeros(1,length(x));
+ for i = 1:length(interleaver)
+ dst = interleaver(i);
+ y(2*(dst-1)+1:2*dst) = x(2*(i-1)+1:2*(i));
+ end
+endfunction
+
+% symbol de-interleaver
+
+function x = deinterleave_symbols(interleaver, y)
+ for i = 1:length(interleaver)
+ x(i) = y(interleaver(i));
+ end
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/ldpc_fsk_lib.m b/libcodec2-android/src/codec2/octave/ldpc_fsk_lib.m
new file mode 100644
index 0000000..661758d
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ldpc_fsk_lib.m
@@ -0,0 +1,269 @@
+% lpdc_fsk_lib.m
+% April 2015
+%
+% Library version of ldpc4.m written by vk5dsp. Application is high bit rate
+% balloon telemtry
+%
+% LDPC demo
+% Call the CML routines and simulate one set of SNRs.
+% This fucntion is an updated version of ldpc3() which uses less
+% of the CML functions
+%
+% sim_in the input parameter structure
+% sim_out contains BERs and other stats for each value of SNR
+% resfile is the result file
+%
+
+1;
+
+function sim_out = ldpc5(sim_in, resfile, testmode, genie_Es, logging=0);
+
+ if nargin<4, testmode = 0; end
+ estEsN0 = 0;
+
+ HRA = sim_in.HRA;
+ framesize = sim_in.framesize;
+ rate = sim_in.rate;
+ mod_order = sim_in.mod_order;
+
+ Lim_Ferrs = sim_in.Lim_Ferrs;
+ Ntrials = sim_in.Ntrials;
+ Esvec = sim_in.Esvec;
+
+ demod_type = 0;
+ decoder_type = 0;
+ max_iterations = 100;
+ code_param = ldpc_init(HRA, mod_order);
+ bps = code_param.bits_per_symbol;
+
+
+ if (logging)
+ fod = fopen('decode.log', 'w');
+ fwrite(fod, 'Es estEs Its secs \n');
+ end
+
+
+ for ne = 1:length(Esvec)
+ Es = Esvec(ne);
+ EsNo = 10^(Es/10);
+
+
+ Terrs = 0; Tbits =0; Ferrs =0;
+ for nn = 1: Ntrials
+
+ data = round( rand( 1, code_param.data_bits_per_frame ) );
+ codeword = ldpc_encode(code_param, data);
+
+ code_param.code_bits_per_frame = length( codeword );
+ Nsymb = code_param.code_bits_per_frame/bps;
+
+ if testmode==1
+ f1 = fopen("dat_in2064.txt", "w");
+ for k=1:length(data); fprintf(f1, "%u\n", data(k)); end
+ fclose(f1);
+ system("./ra_enc");
+
+ load("dat_op2064.txt");
+ pbits = codeword(length(data)+1:end); % print these to compare with C code
+ dat_op2064(1:16)', pbits(1:16)
+ differences_in_parity = sum(abs(pbits - dat_op2064'))
+ pause;
+ end
+
+
+ % modulate
+ % s = Modulate( codeword, code_param.S_matrix );
+ s= 1 - 2 * codeword;
+ code_param.symbols_per_frame = length( s );
+
+ variance = 1/(2*EsNo);
+ noise = sqrt(variance)* randn(1,code_param.symbols_per_frame);
+ % + j*randn(1,code_param.symbols_per_frame) );
+ r = s + noise;
+ Nr = length(r);
+
+ [detected_data Niters] = ldpc_decode(r, code_param, max_iterations, decoder_type);
+
+ error_positions = xor( detected_data(1:code_param.data_bits_per_frame), data );
+ Nerrs = sum( error_positions);
+
+ t = clock; t = fix(t(5)*60+t(6));
+ if (logging)
+ fprintf(fod, ' %3d %4d\n', Niters, t);
+ end
+
+ if Nerrs>0, fprintf(1,'x'), else fprintf(1,'.'), end
+ if (rem(nn, 50)==0), fprintf(1,'\n'), end
+
+ if Nerrs>0, Ferrs = Ferrs +1; end
+ Terrs = Terrs + Nerrs;
+ Tbits = Tbits + code_param.data_bits_per_frame;
+
+ if Ferrs > Lim_Ferrs, disp(['exit loop with #cw errors = ' ...
+ num2str(Ferrs)]); break, end
+ end
+
+ TERvec(ne) = Terrs;
+ FERvec(ne) = Ferrs;
+ BERvec(ne) = Terrs/ Tbits;
+ Ebvec = Esvec - 10*log10(code_param.bits_per_symbol * rate);
+
+ cparams= [code_param.data_bits_per_frame code_param.symbols_per_frame ...
+ code_param.code_bits_per_frame];
+
+ sim_out.BERvec = BERvec;
+ sim_out.Ebvec = Ebvec;
+ sim_out.FERvec = FERvec;
+ sim_out.TERvec = TERvec;
+ sim_out.cpumins = cputime/60;
+
+ if nargin > 2
+ save(resfile, 'sim_in', 'sim_out', 'cparams');
+ disp(['Saved results to ' resfile ' at Es =' num2str(Es) 'dB']);
+ end
+ end
+end
+
+
+function code_param = ldpc_init(HRA, mod_order)
+ code_param.bits_per_symbol = log2(mod_order);
+ [H_rows, H_cols] = Mat2Hrows(HRA);
+ code_param.H_rows = H_rows;
+ code_param.H_cols = H_cols;
+ code_param.P_matrix = [];
+ code_param.data_bits_per_frame = length(code_param.H_cols) - length( code_param.P_matrix );
+ code_param.symbols_per_frame = length(HRA);
+end
+
+
+function codeword = ldpc_encode(code_param, data)
+ codeword = LdpcEncode( data, code_param.H_rows, code_param.P_matrix );
+endfunction
+
+
+% Takes soft decision symbols (e.g. output of 2fsk demod) and converts
+% them to LLRs. Note we calculate mean and var manually instead of
+% using internal functions. This was required to get a bit exact
+% results against the C code.
+
+function llr = sd_to_llr(sd)
+ sd = sd / mean(abs(sd));
+ x = sd - sign(sd);
+ sumsq = sum(x.^2);
+ summ = sum(x);
+ mn = summ/length(sd);
+ estvar = sumsq/length(sd) - mn*mn;
+ estEsN0 = 1/(2* estvar + 1E-3);
+ llr = 4 * estEsN0 * sd;
+endfunction
+
+
+% LDPC decoder - note it estimates EsNo from received symbols
+
+function [detected_data Niters] = ldpc_decode(r, code_param, max_iterations, decoder_type)
+ % in the binary case the LLRs are just a scaled version of the rx samples ..
+
+ #{
+ r = r / mean(abs(r)); % scale for signal unity signal
+ estvar = var(r-sign(r));
+ estEsN0 = 1/(2* estvar + 1E-3);
+ input_decoder_c = 4 * estEsN0 * r;
+ #}
+ llr = sd_to_llr(r);
+
+ [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, ...
+ max_iterations, decoder_type, 1, 1);
+ Niters = sum(PCcnt!=0);
+ detected_data = x_hat(Niters,:);
+
+ if isfield(code_param, "c_include_file")
+ ldpc_gen_h_file(code_param, max_iterations, decoder_type, llr, x_hat, detected_data);
+ end
+end
+
+
+% One application of FSK LDPC work is SSTV. This function generates a
+% simulated frame for testing
+
+function frame_rs232 = gen_sstv_frame
+ load('H2064_516_sparse.mat');
+ HRA = full(HRA);
+ mod_order = 2;
+ code_param = ldpc_init(HRA, mod_order);
+
+ % generate payload data bytes and checksum
+
+ data = floor(rand(1,256)*256);
+ %data = zeros(1,256);
+ checksum = crc16(data);
+ data = [data hex2dec(checksum(3:4)) hex2dec(checksum(1:2))];
+
+ % unpack bytes to bits and LPDC encode
+
+ mask = 2.^(7:-1:0); % MSB to LSB unpacking to match python tx code.
+ unpacked_data = [];
+ for b=1:length(data)
+ unpacked_data = [unpacked_data bitand(data(b), mask) > 0];
+ end
+ codeword = [ldpc_encode(code_param, unpacked_data) 0 0 0 0]; % pad with 0s to get integer number of bytes
+
+ % pack back into bytes to match python code
+
+ lpacked_codeword = length(codeword)/8;
+ packed_codeword = zeros(1,lpacked_codeword);
+ for b=1:lpacked_codeword
+ st = (b-1)*8 + 1;
+ packed_codeword(b) = sum(codeword(st:st+7) .* mask);
+ end
+
+ % generate header bits
+
+ header = [hex2dec('55')*ones(1,16) hex2dec('ab') hex2dec('cd') hex2dec('ef') hex2dec('01')];
+
+ % now construct entire unpacked frame
+
+ packed_frame = [header packed_codeword];
+ mask = 2.^(0:7); % LSB to MSB packing for header
+ lpacked_frame = length(packed_frame);
+ frame = [];
+ for b=1:lpacked_frame
+ frame = [frame bitand(packed_frame(b), mask) > 0];
+ end
+
+ % insert rs232 framing bits
+
+ frame_rs232 = [];
+ for b=1:8:length(frame)
+ frame_rs232 = [frame_rs232 0 frame(b:b+7) 1];
+ end
+
+ %printf("codeword: %d unpacked_header: %d frame: %d frame_rs232: %d \n", length(codeword), length(unpacked_header), length(frame), length(frame_rs232));
+endfunction
+
+
+% calculates and compares the checksum of a SSTV frame, that has RS232
+% start and stop bits
+
+function checksum_ok = sstv_checksum(frame_rs232)
+ l = length(frame_rs232);
+ expected_l = (256+2)*10;
+ assert(l == expected_l);
+
+ % extract rx bytes
+
+ rx_data = zeros(1,256);
+ mask = 2.^(0:7); % LSB to MSB
+ k = 1;
+ for i=1:10:expected_l
+ rx_bits = frame_rs232(i+1:i+8);
+ rx_data(k) = sum(rx_bits .* mask);
+ k++;
+ end
+
+ % calc rx checksum and extract tx checksum
+
+ rx_checksum = crc16(rx_data(1:256));
+ tx_checksum = sprintf("%02X%02X", rx_data(258), rx_data(257));
+ %printf("tx_checksum: %s rx_checksum: %s\n", tx_checksum, rx_checksum);
+ checksum_ok = strcmp(tx_checksum, rx_checksum);
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/ldpc_gen_c_h_file.m b/libcodec2-android/src/codec2/octave/ldpc_gen_c_h_file.m
new file mode 100644
index 0000000..979c5b6
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ldpc_gen_c_h_file.m
@@ -0,0 +1,191 @@
+% ldpc_gen_c_h_file.m
+% David Rowe Sep 2015, B. Van Slyke 2019
+%
+% Create .c and h files for use in LDPC decoders
+%
+% NOTE: You'll need to install the CML library as a number of functions involved
+% in LDPC use it. See ldpc.m for instructions in installing the CML
+% library.
+%
+% Inputs:
+% First parameter - name of file with LDPC codes
+% Second parameter - defaults to 100
+% Third parameter - decoder_type, defaults to 0
+%
+% Output: Two files with the same filename as the LDPC input, but with .c and .h
+% extensions.
+
+function ldpc_gen_c_h_file(varargin)
+
+ ldpc % load ldpc functions
+ ldpc_fsk_lib % for ldpc_encode
+
+ % Assuming cml has been installed in the users' home folder, which is the
+ % default install location
+ init_cml('~/cml/');
+
+ if nargin == 0
+ printf("Error - you must specify a file containing the LDPC codes (e.g. HRA_112_112.txt).\n");
+ return;
+ end
+ loadStr = varargin{1};
+
+
+ % The ldpc variable name may not be what we want for a file/variable names, but
+ % the load filename will be, so use it.
+ [~,ldpcArrayName,ext] = fileparts(loadStr);
+ includeFileName = strcat(ldpcArrayName, '.h');
+ sourceFileName = strcat(ldpcArrayName, '.c');
+
+ % Get the ext of the file first. If it's a txt, then do what we
+ % are doing. If .mat, then just load, knowing the variable is HRA
+ if strcmp(ext, '.mat') == 1
+ load(loadStr);
+ if exist("H") & !exist("HRA")
+ printf("renaming H to HRA...\n");
+ HRA=H;
+ end
+ else
+ % When calling 'load' this way, it returns a struct. The code assumes the
+ % struct has one element, and the one/first element is the array
+ % to process
+ tempStruct = load(loadStr);
+ b = fieldnames(tempStruct);
+ ldpcArrayName = b{1,1};
+ % extract the array from the struct
+ HRA = tempStruct.(ldpcArrayName);
+ endif
+
+
+ max_iterations = 100;
+ decoder_type = 0;
+
+ % user overloads
+ if nargin == 2
+ max_iterations = varargin{2};
+ end
+
+ if nargin == 3
+ decoder_type = varargin{3};
+ end
+
+
+ % the tests are performed using BPSK modulation, but in practice codes can be used
+ % with other modulation, e.g. QPSK
+ mod_order = 2; modulation = 'BPSK'; mapping = 'gray';
+
+ [code_param framesize rate] = ldpc_init_user(HRA, modulation, mod_order, mapping);
+
+ code_length = code_param.coded_syms_per_frame;
+ code_length
+
+ % ********************* test for enc/dec
+ [input_decoder_c, detected_data] = genInputOutputData(code_param, max_iterations, decoder_type);
+
+
+ % First, create the H file
+ f = fopen(includeFileName, "wt");
+ printHeader(f, includeFileName, ldpcArrayName, mfilename());
+
+ fprintf(f,"#define %s_NUMBERPARITYBITS %d\n", ldpcArrayName, rows(code_param.H_rows));
+ fprintf(f,"#define %s_MAX_ROW_WEIGHT %d\n", ldpcArrayName, columns(code_param.H_rows));
+ fprintf(f,"#define %s_CODELENGTH %d\n", ldpcArrayName, code_param.coded_syms_per_frame);
+ fprintf(f,"#define %s_NUMBERROWSHCOLS %d\n", ldpcArrayName, rows(code_param.H_cols));
+ fprintf(f,"#define %s_MAX_COL_WEIGHT %d\n", ldpcArrayName, columns(code_param.H_cols));
+ fprintf(f,"#define %s_DEC_TYPE %d\n", ldpcArrayName, decoder_type);
+ fprintf(f,"#define %s_MAX_ITER %d\n", ldpcArrayName, max_iterations);
+ fprintf(f,"\n");
+ fprintf(f,"extern const uint16_t %s_H_rows[];\n", ldpcArrayName);
+ fprintf(f,"extern const uint16_t %s_H_cols[];\n", ldpcArrayName);
+
+ fprintf(f,"extern const float %s_input[];\n", ldpcArrayName);
+ fprintf(f,"extern const char %s_detected_data[];\n\n", ldpcArrayName);
+
+ fclose(f);
+
+
+ % Then, the C file
+ f = fopen(sourceFileName, "wt");
+ printHeader(f, sourceFileName, ldpcArrayName, mfilename());
+ fprintf(f, "#include \n");
+ fprintf(f, "#include \"%s\"\n", includeFileName);
+
+ % clock out 2D array to linear C array in row order ....
+ fprintf(f,"\nconst uint16_t %s_H_rows[] = {\n", ldpcArrayName);
+ [r c] = size(code_param.H_rows);
+ for j=1:c
+ for i=1:r
+ fprintf(f, "%d", code_param.H_rows(i,j));
+ if (i == r) && (j ==c) % weird, this does nothing
+ fprintf(f,"\n};\n");
+ else
+ fprintf(f,", ");
+ end
+ end
+ end
+
+ fprintf(f,"\nconst uint16_t %s_H_cols[] = {\n", ldpcArrayName);
+ [r c] = size(code_param.H_cols);
+ for j=1:c
+ for i=1:r
+ fprintf(f, "%d", code_param.H_cols(i,j));
+ if (i == r) && (j == c)
+ fprintf(f,"\n};\n");
+ else
+ fprintf(f,", ");
+ end
+ end
+ end
+
+ % input and detected_data arrays
+ fprintf(f,"const float %s_input[] = {\n", ldpcArrayName);
+ for i=1:length(input_decoder_c)
+ fprintf(f, "%.17g", input_decoder_c(i));
+ if i == length(input_decoder_c)
+ fprintf(f,"\n};\n");
+ else
+ fprintf(f,", ");
+ end
+ end
+ fprintf(f,"const char %s_detected_data[] = {\n", ldpcArrayName);
+ for i=1:length(detected_data)
+ fprintf(f, "%d", detected_data(i));
+ if i == length(detected_data)
+ fprintf(f,"\n};\n");
+ else
+ fprintf(f,", ");
+ end
+ end
+
+ fclose(f);
+endfunction
+
+function printHeader(f, includeFileName, ldpcArrayName, mFilename)
+ fprintf(f, "/*\n FILE....: %s\n\n", includeFileName);
+ fprintf(f, " Static arrays for LDPC codec %s, generated by %s.m.\n*/\n\n", ldpcArrayName, mFilename);
+endfunction
+
+function [input_decoder_c, detected_data] = genInputOutputData(code_param, max_iterations, decoder_type)
+
+ % borrowed from test_ldpc_fsk_lib.m, simple_ut
+ EsNodB = 3;
+ data = round( rand( 1, code_param.data_bits_per_frame ) );
+ codeword = ldpc_encode(code_param, data); %defined in ldps_fsk_lib.
+
+ s = 1 - 2 * codeword;
+
+ EsNo = 10^(EsNodB/10);
+ variance = 1/(2*EsNo);
+ noise = sqrt(variance)* randn(1,code_param.coded_syms_per_frame);
+ r = s + noise;
+
+ % borrowed from ldpc_fsk_lib.m, ldpc_decode
+ llr = sd_to_llr(r);
+
+ [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, ...
+ max_iterations, decoder_type, 1, 1);
+ Niters = sum(PCcnt!=0);
+ detected_data = x_hat(Niters,:);
+
+ input_decoder_c = llr;
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/ldpc_gen_h_file.m b/libcodec2-android/src/codec2/octave/ldpc_gen_h_file.m
new file mode 100644
index 0000000..edda815
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ldpc_gen_h_file.m
@@ -0,0 +1,72 @@
+% ldpc_gen_h_file.m
+% David Rowe Sep 2015
+%
+% Create a C include file for use in mpdecode.c C cmd line LDPC decoder
+
+function ldpc_gen_h_file(code_param, max_iterations, decoder_type, input_decoder_c, x_hat, detected_data)
+
+ f = fopen(code_param.c_include_file, "wt");
+
+ fprintf(f, "/*\n FILE....: %s\n\n Static arrays for LDPC codec, generated", code_param.c_include_file);
+ fprintf(f, "\n ldpc_gen_h_file.m.\n\n*/\n\n");
+
+ fprintf(f,"#define NUMBERPARITYBITS %d\n", rows(code_param.H_rows));
+ fprintf(f,"#define MAX_ROW_WEIGHT %d\n", columns(code_param.H_rows));
+ fprintf(f,"#define CODELENGTH %d\n", code_param.symbols_per_frame);
+ fprintf(f,"#define NUMBERROWSHCOLS %d\n", rows(code_param.H_cols));
+ fprintf(f,"#define MAX_COL_WEIGHT %d\n", columns(code_param.H_cols));
+ fprintf(f,"#define DEC_TYPE %d\n", decoder_type);
+ fprintf(f,"#define MAX_ITER %d\n", max_iterations);
+
+ fprintf(f,"\ndouble H_rows[] = {\n");
+
+ % clock out 2D array to linear C array in row order ....
+
+ [r c] = size(code_param.H_rows);
+ for j=1:c
+ for i=1:r
+ fprintf(f, "%d", code_param.H_rows(i,j));
+ if (i == r) && (j ==c)
+ fprintf(f,"\n};\n");
+ else
+ fprintf(f,", ");
+ end
+ end
+ end
+
+ fprintf(f,"\ndouble H_cols[] = {\n");
+ [r c] = size(code_param.H_cols);
+ for j=1:c
+ for i=1:r
+ fprintf(f, "%d", code_param.H_cols(i,j));
+ if (i == r) && (j == c)
+ fprintf(f,"\n};\n");
+ else
+ fprintf(f,", ");
+ end
+ end
+ end
+
+ fprintf(f,"\ndouble input[] = {\n");
+ for i=1:length(input_decoder_c)
+ fprintf(f, "%.17g", input_decoder_c(i));
+ if i == length(input_decoder_c)
+ fprintf(f,"\n};\n");
+ else
+ fprintf(f,", ");
+ end
+ end
+
+ fprintf(f,"\nchar detected_data[] = {\n");
+ for i=1:length(detected_data)
+ fprintf(f, "%d", detected_data(i));
+ if i == length(detected_data)
+ fprintf(f,"\n};\n");
+ else
+ fprintf(f,", ");
+ end
+ end
+
+ fclose(f);
+end
+
diff --git a/libcodec2-android/src/codec2/octave/ldpcut.m b/libcodec2-android/src/codec2/octave/ldpcut.m
new file mode 100644
index 0000000..87b94aa
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ldpcut.m
@@ -0,0 +1,247 @@
+% ldpcut.m
+%
+% David Rowe 18 Dec 2013
+%
+% Octave LDPC unit test script using CML library, based on simulation
+% by Bill Cowley VK5DSP
+
+% Libraries we need
+
+ldpc;
+qpsk;
+
+function sim_out = run_simulation(sim_in)
+
+ % Note this is effective Eb/No of payload data bits, sorta thing we
+ % plot on BER versus Eb/No graphs of decoded data. So if we have a
+ % rate 1/2 code, each codeword bit will have Eb/No - 3dB.
+
+ EbNodBvec = sim_in.EbNodBvec;
+
+ Ntrials = sim_in.Ntrials;
+ verbose = sim_in.verbose;
+
+ % Init LDPC code ------------------------------------
+
+ mod_order = 4; bps = 2;
+ modulation = 'QPSK';
+ mapping = 'gray';
+
+ demod_type = 0;
+ decoder_type = 0;
+ max_iterations = 100;
+
+ if strcmp(sim_in.code,'wimax')
+ rate = 0.5; framesize = 576*4;
+ code_param = ldpc_init_wimax(rate, framesize, modulation, mod_order, mapping);
+ else
+ tempStruct = load(sim_in.code);
+ b = fieldnames(tempStruct);
+ ldpcArrayName = b{1,1};
+ % extract the array from the struct
+ HRA = tempStruct.(ldpcArrayName);
+ [code_param framesize rate] = ldpc_init_user(HRA, modulation, mod_order, mapping);
+ end
+
+ % ----------------------------------
+ % run simulation at each Eb/No point
+ % ----------------------------------
+
+ for ne = 1:length(EbNodBvec)
+ randn('seed',1);
+ rand('seed',1);
+
+ % Given Eb/No of payload data bits, work out Es/No we need to
+ % apply to each channel symbol:
+ %
+ % i) Each codeword bit gets noise: Eb/No - 3 (for a rate 1/2 code)
+ % ii) QPSK means two bits/symbol.: Es/No = Eb/No + 3
+ %
+ % -> which neatly cancel out ...... (at least for rate 1/2)
+
+ EsNodB = EbNodBvec(ne) + 10*log10(rate) + 10*log10(bps);
+ EsNo = 10^(EsNodB/10);
+ variance = 1/EsNo;
+
+ Tbits = Terrs = Ferrs = Terrs_raw = Tbits_raw = 0;
+
+ tx_bits = [];
+ tx_symbols = [];
+ rx_symbols = [];
+
+ % Encode a bunch of frames
+
+ for nn=1:Ntrials
+ atx_bits = round(rand( 1, code_param.data_bits_per_frame));
+ tx_bits = [tx_bits atx_bits];
+ [tx_codeword atx_symbols] = ldpc_enc(atx_bits, code_param);
+ tx_symbols = [tx_symbols atx_symbols];
+ end
+
+ rx_symbols = tx_symbols;
+
+ % Add AWGN noise, 0.5 factor splits power evenly between Re & Im
+
+ noise = sqrt(variance*0.5)*(randn(1,length(tx_symbols)) + j*randn(1,length(tx_symbols)));
+ rx_symbols += noise;
+
+ % Decode a bunch of frames
+
+ rx_bits_log = [];
+
+ for nn = 1: Ntrials
+ st = (nn-1)*code_param.coded_syms_per_frame + 1;
+ en = (nn)*code_param.coded_syms_per_frame;
+
+ % coded
+
+ arx_codeword = ldpc_dec(code_param, max_iterations, demod_type, decoder_type, rx_symbols(st:en), EsNo, ones(1,code_param.coded_syms_per_frame));
+ st = (nn-1)*code_param.data_bits_per_frame + 1;
+ en = (nn)*code_param.data_bits_per_frame;
+ error_positions = xor(arx_codeword(1:code_param.data_bits_per_frame), tx_bits(st:en));
+ Nerrs = sum(error_positions);
+ rx_bits_log = [rx_bits_log arx_codeword(1:code_param.data_bits_per_frame)];
+
+ % uncoded - to est raw BER compare data symbols as code is systematic
+
+ raw_rx_bits = [];
+ for s=1:code_param.coded_syms_per_frame*rate
+ sym_st = (nn-1)*code_param.coded_syms_per_frame + 1;
+ raw_rx_bits = [raw_rx_bits qpsk_demod(rx_symbols(sym_st+s-1))];
+ end
+ Nerrs_raw = sum(xor(raw_rx_bits, tx_bits(st:en)));
+ Nbits_raw = code_param.data_bits_per_frame;
+
+ if verbose == 2
+ % print "." if frame decoded without errors, 'x' if we can't decode
+
+ if Nerrs > 0, printf('x'), else printf('.'), end
+ end
+
+ if Nerrs > 0, Ferrs = Ferrs + 1; end
+ Terrs += Nerrs;
+ Tbits += code_param.ldpc_data_bits_per_frame;
+ Terrs_raw += Nerrs_raw;
+ Tbits_raw += Nbits_raw;
+ end
+
+ if verbose
+ printf("\nCoded EbNodB: % 5.2f BER: %4.3f Tbits: %6d Terrs: %6d FER: %4.3f Tframes: %d Ferrs: %d\n",
+ EbNodBvec(ne), Terrs/Tbits, Tbits, Terrs, Ferrs/Ntrials, Ntrials, Ferrs);
+ EbNodB_raw = EbNodBvec(ne) + 10*log10(rate);
+ printf("Raw EbNodB..: % 5.2f BER: %4.3f Tbits: %6d Terrs: %6d\n",
+ EbNodB_raw, Terrs_raw/Tbits_raw, Tbits_raw, Terrs_raw);
+ end
+
+ sim_out.rate = rate;
+ sim_out.BER(ne) = Terrs/Tbits;
+ sim_out.PER(ne) = Ferrs/Ntrials;
+ end
+
+endfunction
+
+
+% ---------------------------------------------------------------------------------
+% 1/ Simplest possible one frame simulation
+% ---------------------------------------------------------------------------------
+
+function test1_single
+ printf("\nTest 1:Single -----------------------------------\n");
+
+ mod_order = 4;
+ modulation = 'QPSK';
+ mapping = 'gray';
+ demod_type = 0;
+ decoder_type = 0;
+ max_iterations = 100;
+
+ framesize = 576*2; % CML library has a bunch of different framesizes available
+ rate = 1/2;
+ code_param = ldpc_init_wimax(rate, framesize, modulation, mod_order, mapping);
+
+ EsNo = 10; % decoder needs an estimated channel EsNo (linear ratio, not dB)
+
+ tx_bits = round(rand(1, code_param.ldpc_data_bits_per_frame));
+ [tx_codeword, qpsk_symbols] = ldpc_enc(tx_bits, code_param);
+ rx_codeword = ldpc_dec(code_param, max_iterations, demod_type, decoder_type, qpsk_symbols, EsNo, ones(1,length(qpsk_symbols)));
+
+ errors_positions = xor(tx_bits, rx_codeword(1:framesize*rate));
+ Nerr = sum(errors_positions);
+ printf("Nerr: %d\n", Nerr);
+endfunction
+
+
+% ---------------------------------------------------------------------------------
+% 2/ Run a bunch of trials at just one EsNo point
+% ---------------------------------------------------------------------------------
+
+function test2_multiple(code)
+ printf("\nTest 2: Multiple: %s ----------------------------\n", code);
+
+ % these are inputs for Wimax mode, e.g. framesize defines code used
+
+ sim_in.code = code;
+ sim_in.verbose = 2;
+ sim_in.Ntrials = 100;
+ sim_in.EbNodBvec = 3;
+ run_simulation(sim_in);
+end
+
+
+% ---------------------------------------------------------------------------------
+% 3/ Lets draw some Eb/No versus BER curves
+% ---------------------------------------------------------------------------------
+
+function test3_curves(code,fg=1)
+ printf("\nTest 3: Curves: %s -------------------------------------\n", code);
+
+ sim_in.code = code;
+ sim_in.verbose = 2;
+ sim_in.Ntrials = 100;
+ sim_in.EbNodBvec = -2:10;
+ sim_out = run_simulation(sim_in);
+
+ EbNodB = sim_in.EbNodBvec;
+ uncoded_awgn_ber_theory = 0.5*erfc(sqrt(10.^(EbNodB/10)));
+
+ figure(fg); clf; title(code);
+ semilogy(EbNodB, uncoded_awgn_ber_theory,'r-+;AWGN;')
+ hold on;
+ semilogy(EbNodB, sim_out.BER+1E-10,'g-+;AWGN LDPC;');
+ hold off;
+ grid('minor')
+ xlabel('Eb/No (dB)')
+ ylabel('BER')
+ axis([min(EbNodB) max(EbNodB) 1E-3 1])
+ legend('boxoff');
+end
+
+
+% --------------------------------------------------------------------------------
+% START SIMULATIONS
+% --------------------------------------------------------------------------------
+
+more off;
+format;
+
+% ---------------------------------------------------------------------------------
+% Start CML library (see CML set up instructions in ldpc.m)
+% ---------------------------------------------------------------------------------
+
+init_cml('~/cml/');
+
+if getenv("SHORT_VERSION_FOR_CTEST")
+ test1_single
+ return;
+end
+if exist("qam16")
+ test4_qam16;
+ return;
+end
+
+test1_single
+test2_multiple("wimax")
+test2_multiple("H2064_516_sparse.mat")
+%test3_curves("wimax",1)
+%test3_curves("H2064_516_sparse.mat",2)
+test3_curves("H_256_768_22.txt",2)
diff --git a/libcodec2-android/src/codec2/octave/linreg.m b/libcodec2-android/src/codec2/octave/linreg.m
new file mode 100644
index 0000000..666b65c
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/linreg.m
@@ -0,0 +1,35 @@
+% linreg.m
+% David Rowe April 2015
+%
+% Based on:
+% http://stackoverflow.com/questions/5083465/fast-efficient-least-squares-fit-algorithm-in-c
+%
+% finds y = mx + b to best fit n points x and y
+
+function [m b] = linreg(x,y,n)
+ sumx = 0.0; % sum of x
+ sumx2 = 0.0; % sum of x^2
+ sumxy = 0.0; % sum of x * y
+ sumy = 0.0; % sum of y
+ sumy2 = 0.0; % sum of y**2
+
+ for i=1:n
+ sumx += x(i);
+ sumx2 += x(i)^2;
+ sumxy += x(i) * y(i);
+ sumy += y(i);
+ sumy2 += y(i)^2;
+ end
+
+ denom = (n * sumx2 - sumx*sumx);
+
+ if denom == 0
+ % singular matrix. can't solve the problem.
+ m = 0;
+ b = 0;
+ else
+ m = (n * sumxy - sumx * sumy) / denom;
+ b = (sumy * sumx2 - sumx * sumxy) / denom;
+ end
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/load_comp.m b/libcodec2-android/src/codec2/octave/load_comp.m
new file mode 100644
index 0000000..b9fa686
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/load_comp.m
@@ -0,0 +1,9 @@
+% load_comp.m
+% David Rowe Sep 2015
+
+function s = load_comp(fn)
+ fs=fopen(fn,"rb");
+ s = fread(fs,Inf,"float32");
+ ls = length(s);
+ s = s(1:2:ls) + j*s(2:2:ls);
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/load_f32.m b/libcodec2-android/src/codec2/octave/load_f32.m
new file mode 100644
index 0000000..df76c8b
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/load_f32.m
@@ -0,0 +1,14 @@
+% load_f32.m
+% David Rowe Jan 2019
+%
+% load up .f32 binary files from dump_data
+
+function features = load_f32(fn, ncols)
+ f=fopen(fn,"rb");
+ features_lin=fread(f, 'float32');
+ fclose(f);
+
+ nrows = length(features_lin)/ncols;
+ features = reshape(features_lin, ncols, nrows);
+ features = features';
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/load_hackrf.m b/libcodec2-android/src/codec2/octave/load_hackrf.m
new file mode 100644
index 0000000..85bfb73
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/load_hackrf.m
@@ -0,0 +1,11 @@
+% load_hackrf.m
+%
+% David Rowe Oct 2015
+
+function s = load_hackrf(fn)
+ fs = fopen(fn,"rb");
+ iq = fread(fs,Inf,"schar");
+ fclose(fs);
+ l = length(iq);
+ s = iq(1:2:l) + j*iq(2:2:l);
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/load_raw.m b/libcodec2-android/src/codec2/octave/load_raw.m
new file mode 100644
index 0000000..68fe155
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/load_raw.m
@@ -0,0 +1,8 @@
+% load_raw.m
+% David Rowe 7 Oct 2009
+
+function s = load_raw(fn, len=Inf)
+ fs=fopen(fn,"rb");
+ s = fread(fs,len,"short");
+ fclose(fs);
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/load_rtlsdr.m b/libcodec2-android/src/codec2/octave/load_rtlsdr.m
new file mode 100644
index 0000000..946cfb2
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/load_rtlsdr.m
@@ -0,0 +1,11 @@
+% load_rtlsdr.m
+%
+% David Rowe Oct 2015
+
+function s = load_rtlsdr(fn)
+ fs = fopen(fn,"rb");
+ iq = fread(fs,Inf,"uchar");
+ fclose(fs);
+ l = length(iq);
+ s = iq(1:2:l) + j*iq(2:2:l);
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/mag_to_phase.m b/libcodec2-android/src/codec2/octave/mag_to_phase.m
new file mode 100644
index 0000000..c81ed08
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/mag_to_phase.m
@@ -0,0 +1,62 @@
+% mag_to_phase.m
+%
+% David Rowe Sep 2015
+%
+% Slighly modified version of http://www.dsprelated.com/showcode/20.php
+%
+% Given a magnitude spectrum in dB, returns a minimum-phase phase
+% spectra. Both must be sampled at a Nfft. My understanding of this
+% is rather dim, but a working example is good place to start!
+
+
+function [phase s] = mag_to_phase(Gdbfk, Nfft = 512, verbose_en = 0)
+
+ Ns = length(Gdbfk); if Ns~=Nfft/2+1, error("confusion"); end
+ Sdb = [Gdbfk,Gdbfk(Ns-1:-1:2)]; % install negative-frequencies
+
+ S = 10 .^ (Sdb/20); % convert to linear magnitude
+ s = ifft(S); % desired impulse response
+ s = real(s); % any imaginary part is quantization noise
+ tlerr = 100*norm(s(round(0.9*Ns:1.1*Ns)))/norm(s);
+ if verbose_en
+ disp(sprintf([' Time-limitedness check: Outer 20%% of impulse ' ...
+ 'response is %0.2f %% of total rms'],tlerr));
+ end
+ % = 0.02 percent
+
+ if verbose_en
+ if tlerr>1.0 % arbitrarily set 1% as the upper limit allowed
+ disp(' Increase Nfft and/or smooth Sdb\n');
+ end
+ end
+
+ c = ifft(Sdb); % compute real cepstrum from log magnitude spectrum
+
+ % Check aliasing of cepstrum (in theory there is always some):
+
+ caliaserr = 100*norm(c(round(Ns*0.9:Ns*1.1)))/norm(c);
+ if verbose_en
+ disp(sprintf([' Cepstral time-aliasing check: Outer 20%% of ' ...
+ 'cepstrum holds %0.2f %% of total rms\n'],caliaserr));
+ end
+
+ if verbose_en
+ if caliaserr>1.0 % arbitrary limit
+ disp(' Increase Nfft and/or smooth Sdb to shorten cepstrum\n');
+ end
+ end
+
+ % Fold cepstrum to reflect non-min-phase zeros inside unit circle:
+
+ cf = [c(1), c(2:Ns-1)+c(Nfft:-1:Ns+1), c(Ns), zeros(1,Nfft-Ns)];
+
+ Cf = fft(cf); % = dB_magnitude + j * minimum_phase
+
+ % The maths says we are meant to be using log(x), not 20*log10(x),
+ % so we need to scale the phase to account for this:
+ % log(x) = 20*log10(x)/scale;
+
+ scale = (20/log(10));
+ phase = imag(Cf)/scale;
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/make_hilb.m b/libcodec2-android/src/codec2/octave/make_hilb.m
new file mode 100644
index 0000000..35d4e55
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/make_hilb.m
@@ -0,0 +1,51 @@
+% make_hilb.m
+% David Rowe May 2015
+%
+% creates Hilber Transformer FIR coeffs
+
+graphics_toolkit ("gnuplot");
+
+ht_n = 100;
+imp = [1 zeros(1,ht_n-1)];
+ht_coeff = fftshift(hilbert(imp)) .* hanning(ht_n)';
+
+figure(1)
+subplot(211)
+plot(real(ht_coeff))
+subplot(212)
+plot(imag(ht_coeff))
+
+figure(2)
+plot(20*log10(abs(fft(ht_coeff))))
+
+% test it
+
+n=1:8000;
+w = 2*pi/4;
+x = cos(n*w);
+figure(3)
+y = filter(ht_coeff,1,x);
+figure(3)
+subplot(211)
+plot(y(800:8000))
+subplot(212)
+plot(20*log10(abs(fft(y(800:8000)))))
+
+% save coeffs to a C header file
+
+f=fopen("../src/ht_coeff.h","wt");
+fprintf(f,"/* Hilbert Transform FIR filter coeffs */\n");
+fprintf(f,"/* Generated by make_hilb Octave script */\n");
+
+fprintf(f,"\n#define HT_N %d\n\n", ht_n);
+
+fprintf(f,"COMP ht_coeff[]={\n");
+for r=1:ht_n
+ if r < ht_n
+ fprintf(f, " {%f,%f},\n", real(ht_coeff(r)), imag(ht_coeff(r)));
+ else
+ fprintf(f, " {%f,%f}\n};", real(ht_coeff(r)), imag(ht_coeff(r)));
+ end
+end
+
+fclose(f);
diff --git a/libcodec2-android/src/codec2/octave/make_ssbfilt.m b/libcodec2-android/src/codec2/octave/make_ssbfilt.m
new file mode 100644
index 0000000..b1bb347
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/make_ssbfilt.m
@@ -0,0 +1,36 @@
+% make_ssbfilt.m
+% David Rowe May 2015
+%
+% creates SSB filter FIR coeffs
+
+graphics_toolkit ("gnuplot");
+
+ssbfilt_n = 100;
+Fs = 8000;
+
+ssbfilt_coeff = fir2(ssbfilt_n,[0 400 600 2200 2600 4000]/(Fs/2),[0.001 0.001 1 1 0.001 0.001]);
+
+figure(1)
+clf;
+h = freqz(ssbfilt_coeff,1,Fs/2);
+plot(20*log10(abs(h)))
+grid minor
+
+% save coeffs to a C header file
+
+f=fopen("../src/ssbfilt_coeff.h","wt");
+fprintf(f,"/* 600 - 2600 Hz FIR filter coeffs */\n");
+fprintf(f,"/* Generated by make_ssbfilt Octave script */\n");
+
+fprintf(f,"\n#define SSBFILT_N %d\n\n", ssbfilt_n);
+
+fprintf(f,"float ssbfilt_coeff[]={\n");
+for r=1:ssbfilt_n
+ if r < ssbfilt_n
+ fprintf(f, " %f,\n", ssbfilt_coeff(r));
+ else
+ fprintf(f, " %f\n};", ssbfilt_coeff(r));
+ end
+end
+
+fclose(f);
diff --git a/libcodec2-android/src/codec2/octave/mancyfsk.m b/libcodec2-android/src/codec2/octave/mancyfsk.m
new file mode 100644
index 0000000..a5ac8cc
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/mancyfsk.m
@@ -0,0 +1,500 @@
+% mancyfsk.m
+% David Rowe October 2015
+%
+% Manchester encoded 2FSK & 4FSK simulation.
+%
+% Attempt to design a FSK waveform that can pass through legacy FM
+% radios but still be optimally demodulated by SDRs. It doesn't have
+% to be optimally demodulated by legacy radios. Trick is getting it
+% to pass through 300-3000Hz audio filters in legacy radios.
+%
+% [X] code up modulator
+% [X] manchester two bit symbols
+% [X] plot spectrum
+% [X] demodulate using analog FM and ideal demods
+% [X] measure BER compared to ideal coherent FSK
+
+1;
+
+fm; % analog FM library
+
+
+function states = legacyfsk_init(M,Rs)
+ Fs = states.Fs = 96000;
+ states.Rs = Rs; % symbol rate over channel
+ Ts = states.Ts = Fs/Rs; % symbol period in samples
+ states.M = M; % mFSK, either 2 or 4
+ bpsym = state.Rb = log2(M); % bits per symbol over channel
+ rate = states.rate = 0.5; % Manchester code rate
+ nbits = 100;
+ nbits = states.nbits = 100; % number of payload data symbols/frame
+ nbits2 = states.nbits2 = nbits/rate; % number of symbols/frame over channel after manchester encoding
+ nsym = states.nsym = nbits2/log2(M); % number of symbols per frame
+ nsam = states.nsam = nsym*Ts;
+
+ %printf(" Rs: %d M: %d bpsym: %d nbits: %d nbits2: %d nsym: %d nsam: %d\n", Rs, M, bpsym, nbits, nbits2, nsym, nsam);
+
+ states.fc = states.Fs/4;
+ if states.M == 2
+ states.f(1) = states.fc - Rs/2;
+ states.f(2) = states.fc + Rs/2;
+ else
+ states.f(1) = states.fc - 3*Rs/2;
+ states.f(2) = states.fc - Rs/2;
+ states.f(3) = states.fc + Rs/2;
+ states.f(4) = states.fc + 3*Rs/2;
+ end
+endfunction
+
+
+% test modulator function
+
+function tx = legacyfsk_mod(states, tx_bits)
+ Fs = states.Fs;
+ Ts = states.Ts;
+ Rs = states.Rs;
+ f = states.f;
+ M = states.M;
+ nsym = states.nsym;
+
+ tx = zeros(Ts*length(tx_bits)/log2(M),1);
+ tx_phase = 0;
+
+ step = log2(M);
+ k = 1;
+ for i=1:step:length(tx_bits)
+ if M == 2
+ tone = tx_bits(i) + 1;
+ else
+ tone = (tx_bits(i:i+1) * [2 1]') + 1;
+ end
+ tx_phase_vec = tx_phase + (1:Ts)*2*pi*f(tone)/Fs;
+ tx((k-1)*Ts+1:k*Ts) = 2.0*cos(tx_phase_vec); k++;
+ tx_phase = tx_phase_vec(Ts) - floor(tx_phase_vec(Ts)/(2*pi))*2*pi;
+ end
+
+endfunction
+
+
+function run_sim(sim_in)
+
+ frames = sim_in.frames;
+ test_frame_mode = sim_in.test_frame_mode;
+ M = sim_in.M;
+ Rs = sim_in.Rs;
+ demod = sim_in.demod;
+ EbNodB = sim_in.EbNodB;
+ timing_offset = sim_in.timing_offset;
+
+ % rx timing has been adjusted experimentally
+
+ if Rs == 4800
+ if demod == 1
+ rx_timing = 4;
+ else
+ rx_timing = 0;
+ end
+ end
+ if Rs == 2400
+ if demod == 1
+ rx_timing = 40;
+ else
+ rx_timing = 0;
+ end
+ end
+
+ % init fsk modem
+
+ more off
+ rand('state',1);
+ randn('state',1);
+ states = legacyfsk_init(M,Rs);
+ Fs = states.Fs;
+ nbits = states.nbits;
+ nbits2 = states.nbits2;
+ Ts = states.Ts;
+ nsam = states.nsam;
+ rate = states.rate;
+
+ % init analog FM modem
+
+ fm_states.Fs = Fs;
+ fm_max = fm_states.fm_max = 3E3;
+ fd = fm_states.fd = 5E3;
+ fm_states.fc = states.fc;
+
+ fm_states.pre_emp = 0;
+ fm_states.de_emp = 1;
+ fm_states.Ts = 1;
+ fm_states.output_filter = 1;
+ fm_states = analog_fm_init(fm_states);
+ [b, a] = cheby1(4, 1, 300/Fs, 'high'); % 300Hz HPF to simulate FM radios
+
+ % init sim states
+
+ rx_bits_buf = zeros(1,2*nbits2);
+ Terrs = Tbits = 0;
+ state = 0;
+ nerr_log = [];
+
+ % set up the channel noise. We have log(M)*rate payload bits/symbol
+ % we have log2(M) bits/symbol, and rate bits per payload symbol
+ % TODO: explain this better as Im confused!
+
+ EbNo = 10^(EbNodB/10);
+ EsNo = EbNo*rate*log2(M);
+ variance = states.Fs/((states.Rs)*EsNo);
+ %printf("EbNodB: %3.1f EbNo: %3.2f EsNo: %3.2f\n", EbNodB, EbNo, EsNo);
+
+ % set up the input bits
+
+ if test_frame_mode == 1
+ % test frame of bits, which we repeat for convenience when BER testing
+ test_frame = round(rand(1, nbits));
+ tx_bits = [];
+ for i=1:frames+1
+ tx_bits = [tx_bits test_frame];
+ end
+ end
+ if test_frame_mode == 2
+ % random bits, just to make sure sync algs work on random data
+ tx_bits = round(rand(1, nbits*(frames+1)));
+ end
+ if test_frame_mode == 3
+ % ...10101... sequence
+ tx_bits = zeros(1, nbits*(frames+1));
+ tx_bits(1:2:length(tx_bits)) = 1;
+ end
+
+ % Manchester Encoding -----------------------------------------------------------
+
+ % Manchester encoding, which removes DC term in baseband signal,
+ % making the waveform friendly to old-school legacy FM radios with
+ % voiceband filtering. The "code rate" is 0.5, which means we have
+ % encode one input bit into 2 output bits. The 2FSK encoder takes
+ % one input bit, the 4FSK encoder two input bits.
+
+ tx_bits_encoded = zeros(1,length(tx_bits)*2);
+ fsk2_enc = [[1 0]; [0 1]];
+ % -1.5 1.5 1.5 -1.5 -0.5 0.5 0.5 -0.5
+ % 0 3 3 0 1 2 2 1
+ fsk4_enc = [[0 0 1 1]; [1 1 0 0]; [0 1 1 0]; [1 0 0 1]];
+ k=1;
+ if M == 2
+ for i=1:2:length(tx_bits_encoded)
+ input_bit = tx_bits(k); k++;
+ tx_bits_encoded(i:i+1) = fsk2_enc(input_bit+1,:);
+ end
+ else
+ for i=1:4:length(tx_bits_encoded)
+ input_bits = tx_bits(k:k+1) * [2 1]'; k+=2;
+ tx_bits_encoded(i:i+3) = fsk4_enc(input_bits+1,:);
+ end
+ end
+
+ % FSK Modulator --------------------------------------------------------------
+
+ % use ideal FSK modulator (note: need to try using analog FM modulator)
+
+ tx = legacyfsk_mod(states, tx_bits_encoded);
+ noise = sqrt(variance)*randn(length(tx),1);
+ rx = tx + noise;
+ timing_offset_samples = round(timing_offset*Ts);
+ rx = [zeros(timing_offset_samples,1); rx];
+
+ % Demodulator ----------------------------------------------------------------------------
+
+ if demod == 1
+ % use analog FM demodulator, aka a $40 Baofeng
+
+ [rx_out rx_bb] = analog_fm_demod(fm_states, rx');
+ if sim_in.hpf
+ rx_out_hp = filter(b,a,rx_out);
+ else
+ rx_out_hp = rx_out;
+ end
+ rx_filt = filter(ones(1,Ts),1,rx_out_hp);
+ rx_timing_sig = rx_filt;
+
+ % TODO: for 4FSK determine amplitude/decn boundaries, choose closest to demod each symbol
+
+ end
+
+ if demod == 2
+
+ % optimal non-coherent demod at Rs
+
+ rx_timing_sig = zeros(1,length(rx));
+ for m=1:M
+ phi_vec = (1:length(rx))*2*pi*states.f(m)/Fs;
+ dc = rx' .* exp(-j*phi_vec);
+ rx_filt(m,:) = abs(filter(ones(1,Ts),1,dc));
+ rx_timing_sig = rx_timing_sig + rx_filt(m,1:length(rx));
+ end
+ end
+
+ % Fine timing estimation ------------------------------------------------------
+
+ % Estimate fine timing using line at Rs/2 that Manchester encoding provides
+ % We need this to sync up to Manchester codewords. TODO plot signal and
+ % timing "line" we extract
+
+ Np = length(rx_timing_sig);
+ w = 2*pi*(Rs)/Fs;
+ x = (rx_timing_sig .^ 2) * exp(-j*w*(0:Np-1))';
+ norm_rx_timing = angle(x)/(2*pi) - 0.42;
+ %rx_timing = round(norm_rx_timing*Ts);
+ %printf("norm_rx_timing: %4.4f rx_timing: %d\n", norm_rx_timing, rx_timing);
+
+ % Max likelihood decoding of Manchester encoded symbols. Search
+ % through all ML possibilities to extract bits. Use energy (filter
+ % output sq)
+
+ % Manchester Decoding --------------------------------------------------------
+
+ if M == 2
+ if demod == 1
+
+ % sample at optimum instant
+
+ [tmp l] = size(rx_filt);
+ rx_filt_dec = rx_filt(:, Ts+rx_timing:Ts:l);
+
+ [tmp l] = size(rx_filt_dec);
+ rx_bits = zeros(1,l);
+ k = 1;
+ for i=1:2:l-1
+ ml = [rx_filt_dec(i)-rx_filt_dec(i+1) -rx_filt_dec(i)+rx_filt_dec(i+1)];
+ [mx mx_ind] = max(ml);
+ rx_bits(k) = mx_ind-1; k++;
+ end
+ end
+
+ if demod == 2
+
+ % sample at optimum instant
+
+ [tmp l] = size(rx_filt);
+ rx_filt_dec = rx_filt(:, Ts+rx_timing:Ts:l);
+
+ [tmp l] = size(rx_filt_dec);
+ rx_bits = zeros(1,l);
+ k = 1;
+ for i=1:2:l-1
+ %ml = [rx_filt_dec(2,i)*rx_filt_dec(1,i+1) rx_filt_dec(1,i)*rx_filt_dec(2,i+1)];
+ ml = [rx_filt_dec(2,i)+rx_filt_dec(1,i+1) rx_filt_dec(1,i)+rx_filt_dec(2,i+1)];
+ [mx mx_ind] = max(ml);
+ rx_bits(k) = mx_ind-1; k++;
+ end
+ end
+ else % M == 4
+ if demod == 1
+ % TODO: 4FSK version of demod
+ rx_bits=tx_bits;
+ end
+ if demod == 2
+ % sample at optimal instant
+
+ [tmp l] = size(rx_filt);
+ rx_filt_dec = rx_filt(:, Ts+rx_timing:Ts:l);
+ [tmp l] = size(rx_filt_dec);
+ rx_bits = zeros(1,l);
+
+ k = 1;
+ fsk4_dec = [[0 0]; [0 1]; [1 0]; [1 1]];
+ for i=1:2:l-1
+ %ml = [rx_filt_dec(1,i)*rx_filt_dec(4,i+1) rx_filt_dec(4,i)*rx_filt_dec(1,i+1) rx_filt_dec(2,i)*rx_filt_dec(3,i+1) rx_filt_dec(3,i)*rx_filt_dec(2,i+1)];
+ ml = [(rx_filt_dec(1,i)+rx_filt_dec(4,i+1)) (rx_filt_dec(4,i)+rx_filt_dec(1,i+1)) (rx_filt_dec(2,i)+rx_filt_dec(3,i+1)) (rx_filt_dec(3,i)+rx_filt_dec(2,i+1))];
+ [mx mx_ind] = max(ml);
+ rx_bits(k:k+1) = fsk4_dec(mx_ind,:); k+=2;
+ end
+ end
+ end
+
+ % useful for getting decoding right
+ %tx_bits(1:20)
+ %rx_bits(1:20)
+
+ % Frame sync and BER logic -------------------------------------------------------------
+
+ st = 1;
+ for f=1:frames
+
+ % extract nin bits
+
+ nin = nbits;
+ en = st + nin - 1;
+
+ rx_bits_buf(1:nbits) = rx_bits_buf(nbits+1:2*nbits);
+ rx_bits_buf(nbits+1:2*nbits) = rx_bits(st:en);
+
+ st += nin;
+
+ % frame sync based on min BER
+
+ if test_frame_mode == 1
+ nerrs_min = nbits;
+ next_state = state;
+ if state == 0
+ for i=1:nbits
+ error_positions = xor(rx_bits_buf(i:nbits+i-1), test_frame);
+ nerrs = sum(error_positions);
+ %printf("i: %d nerrs: %d nerrs_min: %d \n", i, nerrs, nerrs_min);
+ if nerrs < nerrs_min
+ nerrs_min = nerrs;
+ coarse_offset = i;
+ end
+ end
+ if nerrs_min < 3
+ next_state = 1;
+ %printf("%d %d\n", coarse_offset, nerrs_min);
+ end
+ end
+
+ if state == 1
+ error_positions = xor(rx_bits_buf(coarse_offset:coarse_offset+nbits-1), test_frame);
+ nerrs = sum(error_positions);
+ Terrs += nerrs;
+ Tbits += nbits;
+ nerr_log = [nerr_log nerrs];
+ end
+
+ state = next_state;
+
+ end
+ end
+
+ if test_frame_mode == 1
+ if sim_in.verbose
+ printf(" demod: %d frames: %d EbNodB: %3.1f Tbits: %d Terrs: %d BER %4.3f\n", demod, frames, EbNodB, Tbits, Terrs, Terrs/Tbits);
+ else
+ printf(" EbNodB: %3.1f BER %4.3f\n", EbNodB, Terrs/Tbits);
+ end
+ end
+
+ % Bunch O'plots --------------------------------------------------------------
+
+ close all;
+
+ st = 1; en=20;
+
+ Tx=fft(tx, Fs);
+ TxdB = 20*log10(abs(Tx(1:Fs/2)));
+ figure(1)
+ clf;
+ plot(TxdB)
+ axis([1 Fs/2 (max(TxdB)-100) max(TxdB)])
+ title('Tx Spectrum');
+
+ figure(2)
+ clf
+ if demod == 1
+ subplot(211)
+ plot(rx_filt(st*Ts:en*Ts));
+ title('After integrator');
+ subplot(212)
+ plot(rx_filt_dec(st:en),'+');
+ title('Decimated output');
+ end
+ if demod == 2
+ subplot(211);
+ plot(rx_filt(1,st*Ts:en*Ts));
+ hold on;
+ plot(rx_filt(2,st*Ts:en*Ts),'g');
+ if M == 4
+ plot(rx_filt(3,st*Ts:en*Ts),'c');
+ plot(rx_filt(4,st*Ts:en*Ts),'r');
+ end
+ hold off;
+ title('Output of each filter');
+ subplot(212);
+ plot(rx_filt_dec(1,st:en),'+');
+ hold on;
+ plot(rx_filt_dec(2,st:en),'g+');
+ if M == 4
+ plot(rx_filt_dec(3,st:en),'c+');
+ plot(rx_filt_dec(4,st:en),'r+');
+ end
+ hold off;
+ title('Decimated output of each filter');
+ end
+
+ figure(3)
+ clf;
+ subplot(211)
+ plot(rx_timing_sig(st*Ts:en*Ts).^2)
+ title('rx-timing-sig')
+ subplot(212)
+ F = abs(fft(rx_timing_sig(1:Fs)));
+ plot(F(100:8000))
+ title('FFT of rx-timing-sig')
+
+ if demod == 1
+ figure(4);
+ clf;
+ h = fft(rx_out, Fs);
+ hdB = 20*log10(abs(h));
+ plot(hdB(1:4000))
+ title('Spectrum of baseband modem signal after analog FM demod');
+ axis([1 4000 (max(hdB)-40) max(hdB)])
+ end
+
+ if demod == 1
+ figure(5)
+ clf;
+ subplot(211)
+ plot(rx_out(st*Ts:en*Ts));
+ title('baseband modem signal after analog FM demod');
+ subplot(212)
+ plot(rx_out_hp(st*Ts:en*Ts));
+ title('baseband modem signal after 300Hz filter');
+ end
+end
+
+
+% Run various permutations of simulation here ---------------------------------------
+
+function run_single
+
+ sim_in.frames = 100;
+ sim_in.test_frame_mode = 1;
+ sim_in.M = 2;
+ sim_in.Rs = 2400;
+ sim_in.demod = 1;
+ sim_in.EbNodB = 15;
+ sim_in.timing_offset = 0.0;
+ sim_in.hpf = 1;
+ sim_in.verbose = 1;
+
+ run_sim(sim_in);
+endfunction
+
+
+function run_lots
+
+ % adjusted a few scenarios for about 2% BER so we can compare
+
+ sim_in.frames = 100;
+ sim_in.test_frame_mode = 1;
+ sim_in.M = 2;
+ sim_in.Rs = 4800;
+ sim_in.demod = 1;
+ sim_in.EbNodB = 12;
+ sim_in.timing_offset = 0.0;
+ sim_in.hpf = 1;
+ sim_in.verbose = 0;
+
+ printf("Rs=4800 2FSK ideal demod\n");
+ sim_in.EbNodB = 8.5; sim_in.demod = 2; run_sim(sim_in);
+ printf("Rs=4800 2FSK analog FM demod, not too shabby and pushes 2400bit/s thru a $40 HT!\n");
+ sim_in.EbNodB = 12; sim_in.demod = 1; run_sim(sim_in);
+ printf("Rs=2400 2FSK analog FM demod, needs more power for same BER! Che?\n");
+ sim_in.Rs = 2400; sim_in.EbNodB = 15; run_sim(sim_in);
+ printf("Hmm, doesnt improve with no 300Hz HPF, maybe due to less deviation?\n");
+ sim_in.hpf = 0; run_sim(sim_in);
+ printf("Rs=2400 4FSK ideal demod, nice low Eb/No!\n");
+ sim_in.demod = 2; sim_in.M = 4; sim_in.Rs = 2400; sim_in.EbNodB = 6; run_sim(sim_in);
+endfunction
+
+%run_single;
+run_lots;
diff --git a/libcodec2-android/src/codec2/octave/melvq.m b/libcodec2-android/src/codec2/octave/melvq.m
new file mode 100644
index 0000000..bbadb91
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/melvq.m
@@ -0,0 +1,165 @@
+% melvq.m
+% David Rowe Aug 2015
+%
+% Experimenting with VQ design for mel LSPs, also handy VQ searching routines
+
+1;
+
+% train up multi-stage VQ
+% ~/codec2-dev/build_linux/src$ sox -r 8000 -s -2 ../../wav/all.wav -t raw -r 8000 -s -2 - sinc 300 sinc -2600 | ./c2sim - --lpc 6 --lpcpf --lspmel --dump all -o - | play -t raw -r 8000 -s -2 - vol 3
+%
+% octave:> load ../build_linux/src/all_mel.txt
+% octave:> melvq; vq = trainvq(all_mel, 64, 3);
+% octave:> save vq
+
+function vq = trainvq(training_data, Nvec, stages, city_en=0)
+
+ vq = [];
+ for i=1:stages
+ if city_en
+ [idx centers] = kmeans(training_data, Nvec, 'DISTANCE', 'cityblock');
+ else
+ [idx centers] = kmeans(training_data, Nvec);
+ end
+ quant_error = centers(idx,:) - training_data;
+ printf("mse stage %d: %f\n", i, mean(std(quant_error)));
+ training_data = quant_error;
+ vq(:,:,i) = centers;
+ end
+
+end
+
+function [mse_list index_list] = search_vq(vq, target, m)
+
+ [Nvec order] = size(vq);
+
+ mse = zeros(1, Nvec);
+
+ % find mse for each vector
+
+ for i=1:Nvec
+ mse(i) = sum((target - vq(i,:)) .^2);
+ end
+
+ % sort and keep top m matches
+
+ [mse_list index_list ] = sort(mse);
+
+ mse_list = mse_list(1:m);
+ index_list = index_list(1:m);
+
+endfunction
+
+
+% Search multi-stage VQ, retaining m best candidates at each stage
+
+function [res output_vecs ind] = mbest(vqset, input_vecs, m)
+
+ [Nvec order stages] = size(vqset);
+ [Ninput tmp] = size(input_vecs);
+
+ res = []; % residual error after VQ
+ output_vecs = []; % quantised ouput vectors
+ ind = []; % index of vqs
+
+ for i=1:Ninput
+
+ % first stage, find mbest candidates
+
+ [mse_list index_list] = search_vq(vqset(:,:,1), input_vecs(i,:), m);
+ cand_list = [mse_list' index_list'];
+ cand_list = sortrows(cand_list,1);
+
+ % subsequent stages ...........
+
+ for s=2:stages
+
+ % compute m targets for next stage, and update path
+
+ prev_indexes = zeros(m,s-1);
+ for t=1:m
+ target(t,:) = input_vecs(i,:);
+ for v=1:s-1
+ target(t,:) -= vqset(cand_list(t,v+1),:,v);
+ end
+ prev_indexes(t,:) = cand_list(t,2:s);
+ end
+
+ % search stage s using m targets from stage s-1
+ % with m targets, we do m searches which return the m best possibilities
+ % so we get a matrix with one row per candidate, m*m rows total
+ % prev_indexes provides us with the path through the VQs for each candidate row
+
+ avq = vqset(:,:,s);
+ cand_list = [];
+ for t=1:m
+ [mse_list index_list] = search_vq(avq, target(t,:), m);
+ x = ones(m,1)*prev_indexes(t,:);
+ cand_row = [mse_list' x index_list'];
+ cand_list = [cand_list; cand_row];
+ end
+
+ % sort into m best rows
+
+ cand_list = sortrows(cand_list,1);
+ cand_list = cand_list(1:m,:);
+
+ end
+
+ % final residual
+ target(1,:) = input_vecs(i,:);
+ out = zeros(1,order);
+ for v=1:stages
+ target(1,:) -= vqset(cand_list(1,v+1),:,v);
+ out += vqset(cand_list(1,v+1),:,v);
+ end
+ res = [res; target(1,:)];
+ output_vecs = [output_vecs; out];
+ ind = [ind; cand_list(1,2:1+stages)];
+ end
+
+endfunction
+
+
+% Quantises a set of mel-lsps and saves back to disk so they can be read in by c2sim
+% assumes we have a vq saved to disk called vq
+%
+% ~/codec2-dev/build_linux/src$ sox -r 8000 -s -2 ../../wav/vk5qi.wav -t raw -r 8000 -s -2 - sinc 300 sinc -2600 | ./c2sim - --lpc 6 --lpcpf --lspmel --dump vk5qi -o - | play -t raw -r 8000 -s -2 - vol 3
+%
+% octave:> test_run("vk5qi")
+%
+% ~/codec2-dev/build_linux/src$ sox -r 8000 -s -2 ../../wav/vk5qi.wav -t raw -r 8000 -s -2 - sinc 300 sinc -2600 | ./c2sim - --lpc 6 --lpcpf --phase0 --dec 4 --postfilter --lspmel --lspmelread ../../octave/vk5qi_mel_.out -o - | play -t raw -r 8000 -s -2 - vol 3
+
+function ind = test_run(samplename)
+
+ more off;
+ input_vecs_name = sprintf("../build_linux/src/%s_mel.txt", samplename);
+ input_vecs_name
+ mel = load(input_vecs_name);
+ load vq;
+ [res mel_ ind] = mbest(vq, mel, 5);
+ mean(std(res))
+
+ output_vecs_name = sprintf("%s_mel_.out", samplename);
+ fmel_ = fopen(output_vecs_name,"wb");
+ [r c] = size(mel_);
+ for i=1:r
+ fwrite(fmel_, mel_(i,:), "float32");
+ end
+ fclose(fmel_);
+end
+
+%ind = test_run("hts1a");
+
+%load "../build_linux/src/all_mel.txt"
+%vq = trainvq(all_mel, 64, 3);
+%save vq;
+
+% [X] save text file of "vq quantised mels"
+% [X] load back into c2sim at run time
+% [X] train on continuous mels
+% [X] sorting/stability
+% [X] see how it sounds
+% [X] Goal is to get VQ sounding OK, similar to UQ at 20 or 40ms dec,
+% [X] sig better than current 700
+% [X] check all indexes used with hist
diff --git a/libcodec2-android/src/codec2/octave/mfsk.m b/libcodec2-android/src/codec2/octave/mfsk.m
new file mode 100644
index 0000000..0414b5e
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/mfsk.m
@@ -0,0 +1,199 @@
+% mfsk.m
+% David Rowe Nov 2015
+
+% Simulation to test m=2 and m=4 FSK demod
+
+
+1;
+
+function sim_out = fsk_ber_test(sim_in)
+ Fs = 96000;
+ M = sim_in.M;
+ Rs = sim_in.Rs;
+ Ts = Fs/Rs;
+ verbose = sim_in.verbose;
+
+ nbits = sim_in.nbits;
+ nsym = sim_in.nbits*2/M;
+ nsam = nsym*Ts;
+ EsNodB = sim_in.EbNodB + 10*log10(M/2);
+
+ % printf("M: %d nbits: %d nsym: %d\n", M, nbits, nsym);
+
+ if M == 2
+ f(1) = -Rs/2;
+ f(2) = Rs/2;
+ end
+ if M == 4
+ f(1) = -3*Rs/2;
+ f(2) = -Rs/2;
+ f(3) = Rs/2;
+ f(4) = 3*Rs/2;
+ end
+
+ % simulate over a range of Eb/No values
+
+ for ne = 1:length(EsNodB)
+ Nerrs = Terrs = Tbits = 0;
+
+ aEsNodB = EsNodB(ne);
+ EsNo = 10^(aEsNodB/10);
+ variance = Fs/(Rs*EsNo);
+
+ % Modulator -------------------------------
+
+ tx_bits = round(rand(1, nbits));
+ tx = zeros(1,nsam);
+ tx_phase = 0;
+
+ for i=1:nsym
+ if M == 2
+ tone = tx_bits(i) + 1;
+ else
+ tone = (tx_bits(2*(i-1)+1:2*i) * [2 1]') + 1;
+ end
+
+ tx_phase_vec = tx_phase + (1:Ts)*2*pi*f(tone)/Fs;
+ tx((i-1)*Ts+1:i*Ts) = exp(j*tx_phase_vec);
+ tx_phase = tx_phase_vec(Ts) - floor(tx_phase_vec(Ts)/(2*pi))*2*pi;
+ end
+
+ % Channel ---------------------------------
+
+ % We use complex (single sided) channel simulation, as it's convenient
+ % for the FM simulation.
+
+ noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+ rx = tx + noise;
+ if verbose > 1
+ printf("EbNo: %f Eb: %f var No: %f EbNo (meas): %f\n",
+ EbNo, var(tx)*Ts/Fs, var(noise)/Fs, (var(tx)*Ts/Fs)/(var(noise)/Fs));
+ end
+
+ % Demodulator -----------------------------
+
+ % non-coherent FSK demod
+
+ rx_bb = rx;
+ dc = zeros(M,nsam);
+ for m=1:M
+ dc(m,:) = rx_bb .* exp(-j*(0:nsam-1)*2*pi*f(m)/Fs);
+ end
+
+ rx_bits = zeros(1, nsym);
+ for i=1:nsym
+ st = (i-1)*Ts+1;
+ en = st+Ts-1;
+ for m=1:M
+ int(m,i) = abs(sum(dc(m,st:en)));
+ end
+ if m == 2
+ rx_bits(i) = int(1,i) < int(2,i);
+ else
+ [max_amp tone] = max([int(1,i) int(2,i) int(3,i) int(4,i)]);
+ if tone == 1
+ rx_bits(2*(i-1)+1:2*i) = [0 0];
+ end
+ if tone == 2
+ rx_bits(2*(i-1)+1:2*i) = [0 1];
+ end
+ if tone == 3
+ rx_bits(2*(i-1)+1:2*i) = [1 0];
+ end
+ if tone == 4
+ rx_bits(2*(i-1)+1:2*i) = [1 1];
+ end
+ end
+ end
+
+ error_positions = xor(rx_bits, tx_bits);
+ Nerrs = sum(error_positions);
+ Terrs += Nerrs;
+ Tbits += length(error_positions);
+
+ TERvec(ne) = Terrs;
+ BERvec(ne) = Terrs/Tbits;
+
+ if verbose > 1
+ figure(2)
+ clf
+ Rx = 10*log10(abs(fft(rx)));
+ plot(Rx(1:Fs/2));
+ axis([1 Fs/2 0 50]);
+
+ figure(3)
+ clf;
+ subplot(211)
+ plot(real(rx_bb(1:Ts*20)))
+ subplot(212)
+ Rx_bb = 10*log10(abs(fft(rx_bb)));
+ plot(Rx_bb(1:3000));
+ axis([1 3000 0 50]);
+
+ figure(4);
+ subplot(211)
+ stem(abs(mark_int(1:100)));
+ subplot(212)
+ stem(abs(space_int(1:100)));
+ end
+
+ if verbose
+ printf("EbNo (db): %3.2f Terrs: %d BER: %4.3f \n", aEsNodB - 10*log10(M/2), Terrs, Terrs/Tbits);
+ end
+ end
+
+ sim_out.TERvec = TERvec;
+ sim_out.BERvec = BERvec;
+endfunction
+
+
+function run_fsk_curves
+ sim_in.M = 2;
+ sim_in.Rs = 1200;
+ sim_in.nbits = 12000;
+ sim_in.EbNodB = 0:2:20;
+ sim_in.verbose = 1;
+
+ EbNo = 10 .^ (sim_in.EbNodB/10);
+ fsk_theory.BERvec = 0.5*exp(-EbNo/2); % non-coherent BFSK demod
+ fsk2_sim = fsk_ber_test(sim_in);
+
+ sim_in.M = 4;
+ fsk4_sim = fsk_ber_test(sim_in);
+
+ % BER v Eb/No curves
+
+ figure(1);
+ clf;
+ semilogy(sim_in.EbNodB, fsk_theory.BERvec,'r;2FSK theory;')
+ hold on;
+ semilogy(sim_in.EbNodB, fsk2_sim.BERvec,'g;2FSK sim;')
+ semilogy(sim_in.EbNodB, fsk4_sim.BERvec,'b;4FSK sim;')
+ hold off;
+ grid("minor");
+ axis([min(sim_in.EbNodB) max(sim_in.EbNodB) 1E-4 1])
+ legend("boxoff");
+ xlabel("Eb/No (dB)");
+ ylabel("Bit Error Rate (BER)")
+
+end
+
+
+function run_fsk_single
+ sim_in.M = 4;
+ sim_in.Rs = 1200;
+ sim_in.nbits = 5000;
+ sim_in.EbNodB = 8;
+ sim_in.verbose = 1;
+
+ fsk_sim = fsk_ber_test(sim_in);
+endfunction
+
+
+rand('state',1);
+randn('state',1);
+graphics_toolkit ("gnuplot");
+
+run_fsk_curves
+%run_fsk_single
+
diff --git a/libcodec2-android/src/codec2/octave/newamp.m b/libcodec2-android/src/codec2/octave/newamp.m
new file mode 100644
index 0000000..be19809
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp.m
@@ -0,0 +1,1751 @@
+% newamp.m
+%
+% Copyright David Rowe 2015
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Library of Octave functions to explore new ideas in amplitude
+% (spectral envelope) modelling. See newamp_fby (frame by frame
+% analysis) and newamp_batch (batch processing for listening tests)
+%
+% Code here to support a bunch of experimental ideas, many that didn't work out.
+
+1;
+melvq; % mbest VQ functions
+
+% --------------------------------------------------------------------------------
+% Functions used by rate K mel work
+% --------------------------------------------------------------------------------
+
+function y = lanczos2(x)
+ y = sinc(x).*sinc(x/2);
+endfunction
+
+function y = interp_lanczos(xp, yp, xp_max, x)
+
+ y = zeros(1,length(x));
+ k = 1;
+ for i=1:length(x)
+ % find closest sample in xp just greater than xi
+ xi = x(i);
+ while (xp(k) <= xi) && (k < length(xp)-2)
+ k++;
+ end
+
+ % we'd like to use k-2 .. k+2, but we need to stay inside limits of xp
+
+ k_st = k - 2; k_st = max(1,k_st);
+ k_en = k + 2; k_en = min(length(xp),k_en);
+ % printf("i: %d xi: %f k: %d k_st: %d k_en: %d\n", i, xi, k, k_st, k_en);
+
+ % map frequencies to x in -2 ... + 2
+
+ delta = xp(2) - xp(1);
+ xl = (xp(k_st:k_en) - xi)/delta;
+
+ y(i) = lanczos2(xl) * yp(k_st:k_en)';
+
+ end
+
+endfunction
+
+
+% General 2nd order parabolic interpolator. Used splines orginally,
+% but this is much simpler and we don't need much accuracy. Given two
+% vectors of points xp and yp, find interpolated values y at points x
+%
+
+% If a point in x is less than the smallest point in xp, we linearly
+% interpolate down to (0,0). If a point in x is greater than the
+% greatest value in xp, we linearly interpolate down to (xp_max, 0)
+
+function y = interp_para(xp, yp, xp_max, x)
+ assert( (length(xp) >=3) && (length(yp) >= 3) );
+
+ y = zeros(1,length(x));
+ k = 1;
+ for i=1:length(x)
+ xi = x(i);
+
+ % k is index into xp of where we start 3 points used to form parabola
+
+ while (xp(k) < xi) && (k < length(xp))
+ k++;
+ end
+
+ %printf("xi: %f k = %d\n", xi, k);
+ if k == 1
+ % linear interpolation at low end
+ x1 = 0; y1 = 0;
+ x2 = xp(k); y2 = yp(k);
+ b = (y2-y1)/(x2-x1);
+ y(i) = b*(xi-x2) + y2;
+ %printf("lin1 k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
+ elseif k < length(xp)
+ % parabolic interpolation
+ x1 = xp(k-1); y1 = yp(k-1);
+ x2 = xp(k); y2 = yp(k);
+ x3 = xp(k+1); y3 = yp(k+1);
+ a = ((y3-y2)/(x3-x2)-(y2-y1)/(x2-x1))/(x3-x1);
+ b = ((y3-y2)/(x3-x2)*(x2-x1)+(y2-y1)/(x2-x1)*(x3-x2))/(x3-x1);
+ y(i) = a*(xi-x2)^2 + b*(xi-x2) + y2;
+ %printf("para1 k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
+ elseif (k == length(xp)) && (xi < xp(k))
+ % parabolic interpolation, but shift xp points back by 1
+ x1 = xp(k-2); y1 = yp(k-2);
+ x2 = xp(k-1); y2 = yp(k-1);
+ x3 = xp(k); y3 = yp(k);
+ a = ((y3-y2)/(x3-x2)-(y2-y1)/(x2-x1))/(x3-x1);
+ b = ((y3-y2)/(x3-x2)*(x2-x1)+(y2-y1)/(x2-x1)*(x3-x2))/(x3-x1);
+ y(i) = a*(xi-x2)^2 + b*(xi-x2) + y2;
+ %printf("para2 k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
+ elseif k == length(xp)
+ % linear interpolation at high end
+ x1 = xp(k); y1 = yp(k);
+ x2 = xp_max; y2 = 0;
+ b = (y2-y1)/(x2-x1);
+ y(i) = b*(xi-x1) + y1;
+ %printf("lin2 k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
+ end
+
+ end
+endfunction
+
+
+% choose largest sample in band, idea is we care more about finding
+% peaks, can handle some error in frequency. x are non linear
+% (arbitrary) sampling points in kHz
+
+function y = interp_largest(f0_Hz, AmdB, x_kHz)
+ L = length(AmdB);
+ x = x_kHz*1000;
+ y = zeros(1,length(x));
+ bw = x(2) - x(1);
+ k = 1;
+
+ for i=1:length(x)
+
+ % determine limits of this band
+
+ if i>1
+ bw = x(i) - x(i-1);
+ end
+ band_low = x(i) - bw/2; band_high = x(i) + bw/2;
+
+ % map band limits to harmonics
+
+ if x(i) < f0_Hz
+ m_low = m_high = 1;
+ else
+ m_low = round(band_low/f0_Hz); m_high = round(band_high/f0_Hz)-1;
+ m_low = max(1, m_low); m_high = min(L, m_high); m_high = max(m_low, m_high);
+ end
+
+ printf("L: %d f0: %f i: %d band_low: %f band_high: %f m_low: %d m_high: %d\n",L, f0_Hz, i, band_low, band_high, m_low, m_high);
+ % find max in band
+
+ y(i) = max(AmdB(m_low:m_high));
+ end
+
+endfunction
+
+% simple linear interpolator
+
+function y = interp_linear(xp, yp, x)
+ assert( (length(xp) == 2) && (length(yp) == 2) );
+
+ m = (yp(2) - yp(1))/(xp(2) - xp(1));
+ c = yp(1) - m*xp(1);
+
+ y = zeros(1,length(x));
+ for i=1:length(x)
+ y(i) = m*x(i) + c;
+ end
+endfunction
+
+
+% quantise input sample to nearest value in table, optionally return binary code
+
+function [quant_out best_i bits] = quantise(levels, quant_in)
+
+ % find closest quantiser level
+
+ best_se = 1E32;
+ for i=1:length(levels)
+ se = (levels(i) - quant_in)^2;
+ if se < best_se
+ quant_out = levels(i);
+ best_se = se;
+ best_i = i;
+ end
+ end
+
+ % convert index to binary bits
+
+ numbits = ceil(log2(length(levels)));
+ bits = zeros(1, numbits);
+ for b=1:numbits
+ bits(b) = bitand(best_i-1,2^(numbits-b)) != 0;
+ end
+
+endfunction
+
+
+% Quantisation functions for Wo in log freq domain
+
+function index = encode_log_Wo(Wo, bits)
+ Wo_levels = 2.^bits;
+ Wo_min = 2*pi/160;
+ Wo_max = 2*pi/20;
+
+ norm = (log10(Wo) - log10(Wo_min))/(log10(Wo_max) - log10(Wo_min));
+ index = floor(Wo_levels * norm + 0.5);
+ index = max(index, 0);
+ index = min(index, Wo_levels-1);
+endfunction
+
+
+function Wo = decode_log_Wo(index, bits)
+ Wo_levels = 2.^bits;
+ Wo_min = 2*pi/160;
+ Wo_max = 2*pi/20;
+
+ step = (log10(Wo_max) - log10(Wo_min))/Wo_levels;
+ Wo = log10(Wo_min) + step*index;
+
+ Wo = 10 .^ Wo;
+endfunction
+
+
+% convert index to binary bits
+
+function bits = index_to_bits(value, numbits)
+ levels = 2.^numbits;
+ bits = zeros(1, numbits);
+ for b=1:numbits
+ bits(b) = bitand(value,2^(numbits-b)) != 0;
+ end
+end
+
+
+function value = bits_to_index(bits, numbits)
+ value = 2.^(numbits-1:-1:0) * bits;
+endfunction
+
+
+% helper function to find polynomial coeffs for a parabola
+
+function b = parabola_coeffs(x, y)
+ A = [(x.^2)' x' [1 1 1]']
+ b = inv(A)*y';
+endfunction
+
+
+% generate a zig-zag linear to square mapping matrix
+
+function map = create_zigzag_map(nr,nc)
+ map = zeros(nr, nc);
+
+ state = 'zig';
+ r = c = 1;
+
+ for i=1:nr*nc
+
+ printf("%s r: %d c: %d i %d\n", state, r, c, i);
+ map(r,c) = i;
+
+ next_state = state;
+ if state == 'zig'
+ % move SE
+ c -= 1; r += 1;
+ if r > nr
+ r = nr; c+=2;
+ next_state = 'zag';
+ end
+ if c < 1
+ c = 1;
+ next_state = 'zag';
+ end
+ end
+
+ if state == 'zag'
+ % move SE
+ r -= 1; c +=1;
+ if c > nc
+ c = nc; r+=2;
+ next_state = 'zig';
+ end
+ if r < 1
+ r = 1;
+ next_state = 'zig';
+ end
+ end
+ state = next_state;
+ end
+endfunction
+
+
+% reshape matrix m as a vector v by reading out elements in zig-zag pattern
+
+function v = mtov_zigzag(m)
+ [nr nc] = size(m);
+ map = zigzag(nr,nc)
+ v = zeros(1,nr*nc);
+ for r=1:nr
+ for c=1:nc
+ v(map(r,c)) = m(r,c);
+ end
+ end
+endfunction
+
+
+% extracts DCT information for rate K surface
+
+function unwrapped_dcts = dct_blocks(surf, Nt=16)
+ [frames K] = size(surf);
+
+ % break into 160ms blocks, 2D DCT, truncate, IDCT
+
+ Nblocks = floor(frames/Nt);
+ unwrapped_dcts = zeros(Nblocks,Nt*K);
+
+ for n=1:Nblocks
+ st = (n-1)*Nt+1; en = st + Nt - 1;
+ D = dct2(surf(st:en,:));
+ unwrapped_dcts(n,:) = reshape(D',1,Nt*K);
+ end
+endfunction
+
+
+% Determines a map for quantising 2D DCT coeffs in order of rms value
+% (ie std dev) of each coeff. Those coeffs with the greatest change
+% need the most bits to quantise
+
+function [map rms_map mx mx_ind unwrapped_dcts] = create_map_rms(rate_K_surface, nr, nc)
+ unwrapped_dcts = dct_blocks(rate_K_surface, nr);
+ [mx mx_ind] = sort(std(unwrapped_dcts));
+ mx_ind = fliplr(mx_ind); mx = fliplr(mx);
+ map = rms_map = zeros(nr,nc);
+ for i=1:nr*nc
+ r = floor((mx_ind(i)-1)/nc) + 1;
+ c = mx_ind(i) - (r-1)*nc;
+ %printf("%d %d %d\n", i, r, c);
+ map(r,c) = i;
+ rms_map(r,c) = mx(i);
+ end
+endfunction
+
+
+% plot histogram of each 2D DCT coeff, so we can get a feel for
+% quantiser design
+
+function plot_dct2_hists(rate_K_surface, nr, nc)
+ [map rms_map mx mx_ind unwrapped_dcts] = create_map_rms(rate_K_surface, nr, nc);
+ Ncoeff = nr*nc;
+ fign = 1; subplotn = 1;
+ close all; figure(fign); clf;
+ Nplot = 60;
+ for i=1:Nplot
+ subplot(5,4,subplotn);
+ d = unwrapped_dcts(:,mx_ind(i));
+ d = round(d/4);
+ hist(d);
+ subplotn++;
+ if (subplotn > 20) && (i != Nplot)
+ subplotn = 1;
+ fign++;
+ figure(fign); clf;
+ end
+ end
+endfunction
+
+
+% Gather run length data for each 2D DCT coeff, to see if run length encoding
+% can help
+
+function [run_length d]= plot_run_length(rate_K_surface, nr, nc)
+ [map rms_map mx mx_ind unwrapped_dcts] = create_map_rms(rate_K_surface, nr, nc);
+ Ncoeff = nr*nc;
+ [Nblocks tmp] = size(unwrapped_dcts);
+
+ % first get histogram of DCT values -----------------------------------
+
+ % some mild quantisation
+
+ unwrapped_dcts = round(unwrapped_dcts/4);
+
+ % note we only consider first half of DCT coeffs, unlikely to use all
+
+ d = [];
+ for i=1:Nblocks
+ d = [d unwrapped_dcts(i,mx_ind(1:Ncoeff/2))];
+ end
+
+ % note we remove outliers from plot as very low prob symbols
+
+ d = d(find(abs(d)<10));
+ figure(1); clf; [Wi, ii] = hist(d,-10:10,1); plot(ii,Wi);
+ length(d)
+ Wi = Wi(find(Wi > 0));
+ %sum(Wi)
+ %-log2(Wi)
+ %-Wi .* log2(Wi)
+ printf("bits/symbol: %2.2f\n", sum(-Wi .* log2(Wi)));
+
+ % now measure run lengths --------------------------------------------
+
+ run_length = zeros(21,Ncoeff);
+ state = 'idle';
+
+ for i=2:length(d)
+
+ next_state = state;
+
+ if state == 'idle'
+ if d(i-1) == d(i)
+ next_state = 'trac';
+ arun_length = 2;
+ else
+ run_length(d(i)+10, 1)++;
+ end
+ end
+
+ if state == 'trac'
+ if d(i-1) == d(i)
+ arun_length++;
+ else
+ next_state = 'idle';
+ run_length(d(i-1)+10, arun_length)++;
+ end
+ end
+
+ state = next_state;
+
+ end
+
+ figure(2); clf; mesh(run_length(:,1:10));
+endfunction
+
+
+% Design kmeans quantisers for each DCT coeff. This didn't work very well.
+
+function [quantisers nbits] = design_quantisters_kmeans(rate_K_surface, nr, nc, nbits_max)
+ [map rms_map mx unwrapped_dcts] = create_map_rms(rate_K_surface, nr, nc);
+ nq = nr*nc;
+ quantisers = zeros(nq, 2^nbits_max); nbits = zeros(nq,1);
+ for i=1:nq
+
+ % work out number of levels for this quantiser such that it is a
+ % power of 2 for integer number of bits
+
+ nlevels = (2^nbits_max);
+ nbits(i) = round(log2(nlevels));
+ nlevels = 2 .^ nbits(i);
+
+ if i <= 100
+ printf("%d %d\n", i, nlevels);
+ [idx, centers] = kmeans(unwrapped_dcts(:,i), nlevels);
+ quantisers(i,1:nlevels) = sort(centers);
+ end
+ end
+endfunction
+
+
+% Uniform quantisers designed to fit limits of each DCT coeff
+
+function [quantisers nlevels] = design_quantisters_uniform(rate_K_surface, nr, nc, nlevels_max)
+ [map rms_map mx mx_ind unwrapped_dcts] = create_map_rms(rate_K_surface, nr, nc);
+
+ nq = nr*nc;
+ quantisers = zeros(nq, nlevels_max); nlevels = zeros(nq, 1);
+
+ for i=1:nq
+ d = unwrapped_dcts(:,mx_ind(i));
+ d = floor(d/16);
+ q_min = floor(min(d));
+ q_max = ceil(max(d));
+ nlevels(i) = q_max-q_min+1;
+ quantisers(i,1:nlevels(i)) = 16*(q_min:q_max);
+ end
+endfunction
+
+
+% Determine a phase spectra from a magnitude spectra
+% from http://www.dsprelated.com/showcode/20.php
+% Haven't _quite_ figured out how this works but have to start somewhere ....
+%
+% TODO: we may be able to sample at a lower rate, like mWo
+% but start with something that works
+function [phase Gdbfk s Aw] = determine_phase(model, f, Nfft=512, ak)
+ Fs = 8000;
+ max_amp = 80;
+ L = min([model(f,2) max_amp-1]);
+ Wo = model(f,1);
+
+ sample_freqs_kHz = (Fs/1000)*[0:Nfft/2]/Nfft; % fft frequency grid (nonneg freqs)
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+ rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
+ Gdbfk = interp_lanczos(rate_L_sample_freqs_kHz, AmdB, Fs/(2*1000), sample_freqs_kHz);
+
+ % Gdbfk = resample_mask(model, f, mask_sample_freqs_kHz);
+
+ % optional input of aks for testing
+
+ if nargin == 4
+ Aw = 1 ./ fft(ak,Nfft);
+ Gdbfk = 20*log10(abs(Aw(1:Nfft/2+1)));
+ end
+
+ [phase s] = mag_to_phase(Gdbfk, Nfft);
+
+endfunction
+
+
+% Non linear sampling of frequency axis, reducing the "rate" is a
+% first step before VQ
+
+function mel = ftomel(fHz)
+ mel = floor(2595*log10(1+fHz/700)+0.5);
+endfunction
+
+
+function rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K, fstart_hz=100, fend_hz=0.95*4000)
+ mel_start = ftomel(fstart_hz); mel_end = ftomel(fend_hz);
+ step = (mel_end-mel_start)/(K-1);
+ mel = mel_start:step:mel_end;
+ rate_K_sample_freqs_Hz = 700*((10 .^ (mel/2595)) - 1);
+ rate_K_sample_freqs_kHz = rate_K_sample_freqs_Hz/1000;
+endfunction
+
+
+function plot_mel_sample_freqs(K, f_start_hz, f_end_hz)
+ rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K, f_start_hz, f_end_hz);
+ figure(1); clf;
+ plot(rate_K_sample_freqs_kHz,'+');
+endfunction
+
+function [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model, K, Fs=8000, interp_alg='lanc')
+ rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K, 100, 0.95*Fs/2);
+ rate_K_surface = resample_const_rate_f(model, rate_K_sample_freqs_kHz, Fs, interp_alg);
+endfunction
+
+
+% Resample Am from time-varying rate L=floor(pi/Wo) to fixed rate K. This can be viewed
+% as a 3D surface with time, freq, and ampitude axis.
+
+function [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f(model, rate_K_sample_freqs_kHz, Fs, interp_alg='lanc')
+
+ % convert rate L=pi/Wo amplitude samples to fixed rate K
+
+ max_amp = 160;
+ [frames col] = size(model);
+ K = length(rate_K_sample_freqs_kHz);
+ rate_K_surface = zeros(frames, K);
+
+ for f=1:frames
+ Wo = model(f,1);
+ L = min([model(f,2) max_amp-1]);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+
+ clip_en = 0;
+ if clip_en
+ % clip between peak and peak -50dB, to reduce dynamic range
+
+ AmdB_peak = max(AmdB);
+ AmdB(find(AmdB < (AmdB_peak-50))) = AmdB_peak-50;
+ end
+
+ rate_L_sample_freqs_kHz = (1:L)*Wo*Fs/(2000*pi);
+
+ %rate_K_surface(f,:) = interp1([0 rate_L_sample_freqs_kHz (Fs/2000)], [AmdB(1) AmdB AmdB(L)], rate_K_sample_freqs_kHz, "spline");
+ if strcmp(interp_alg, 'para')
+ rate_K_surface(f,:) = interp_para(rate_L_sample_freqs_kHz, AmdB, Fs/(2*1000), rate_K_sample_freqs_kHz);
+ end
+ if strcmp(interp_alg, 'lanc')
+ rate_K_surface(f,:) = interp_lanczos(rate_L_sample_freqs_kHz, AmdB, Fs/(2*1000), rate_K_sample_freqs_kHz);
+ end
+
+ %printf("%d\n", f);
+ end
+ %printf("\n");
+endfunction
+
+
+function [rate_K_vec_corrected orig_error error nasty_error_log nasty_error_m_log] = correct_rate_K_vec(rate_K_vec, rate_K_sample_freqs_kHz, AmdB, AmdB_, K, Wo, L, Fs)
+
+ % aliasing correction --------------------------------------
+
+ % The mel sample rate decreases as frequency increases. Look for
+ % any regions above 1000Hz where we have missed definition of a
+ % spectral peak (formant) due to aliasing. Adjust the rate K
+ % sample levels to restore peaks. Theory is that correct
+ % definition of a formant is less important than the frequency of
+ % the formant. As long as we define a formant in that general
+ % frequency area it will sound OK.
+
+ Am_freqs_kHz = (1:L)*Wo*Fs/(2000*pi);
+
+ % Lets see where we have made an error
+
+ error = orig_error = AmdB(1:L) - AmdB_(1:L);
+
+ Ncorrections = 3; % maximum number of rate K samples to correct
+ error_thresh = 3; % only worry about errors larger than thresh
+
+ start_m = floor(L*1000/(Fs/2));
+ error(1:start_m) = 0; % first 1000Hz is densly sampled so ignore
+ nasty_error_m_log = []; nasty_error_log = [];
+
+
+ rate_K_vec_corrected = rate_K_vec;
+ for i=1:Ncorrections
+ [mx mx_m] = max(error);
+
+ if mx > error_thresh
+ nasty_error_log = [nasty_error_log mx];
+ nasty_error_m_log = [nasty_error_m_log mx_m];
+
+ % find closest rate K sample to nasty error
+
+ nasty_error_freq = mx_m*Wo*Fs/(2*pi*1000);
+ [tmp closest_k] = min(abs(rate_K_sample_freqs_kHz - nasty_error_freq));
+ rate_K_vec_corrected(closest_k) = AmdB(mx_m);
+
+ % zero out error in this region and look for another large error region
+
+ k = max(1, closest_k-1);
+ rate_K_prev_sample_kHz = rate_K_sample_freqs_kHz(k);
+ k = min(K, closest_k+1);
+ rate_K_next_sample_kHz = rate_K_sample_freqs_kHz(k);
+
+ [tmp st_m] = min(abs(Am_freqs_kHz - rate_K_prev_sample_kHz));
+ [tmp en_m] = min(abs(Am_freqs_kHz - rate_K_next_sample_kHz));
+ if closest_k == K
+ en_m = L;
+ end
+ error(st_m:en_m) = 0;
+ end
+ end
+endfunction
+
+
+% Take a rate K surface and convert back to time varying rate L
+
+function [model_ AmdB_] = resample_rate_L(model, rate_K_surface, rate_K_sample_freqs_kHz, Fs=8000, interp_alg='lanc')
+ max_amp = 160; K = columns(rate_K_surface);
+ [frames col] = size(model);
+
+ AmdB_ = zeros(frames, max_amp);
+ model_ = zeros(frames, max_amp+2);
+ for f=1:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ rate_L_sample_freqs_kHz = (1:L)*Wo*Fs/(2000*pi);
+
+ % back down to rate L
+
+ % dealing with end effects is an ongoing issue.....need a better solution
+
+ if strcmp(interp_alg, 'para')
+ AmdB_(f,1:L) = interp_para(rate_K_sample_freqs_kHz, rate_K_surface(f,:), Fs/(2*1000), rate_L_sample_freqs_kHz);
+ end
+ if strcmp(interp_alg, 'lanc')
+ AmdB_(f,1:L) = interp_lanczos(rate_K_sample_freqs_kHz, rate_K_surface(f,:), Fs/(2*1000), rate_L_sample_freqs_kHz);
+ end
+ if strcmp(interp_alg, 'lancmel')
+ rate_K_sample_freqs_mel = ftomel(rate_K_sample_freqs_kHz*1000);
+ rate_L_sample_freqs_mel = ftomel(rate_L_sample_freqs_kHz*1000);
+ AmdB_(f,1:L) = interp_lanczos(rate_K_sample_freqs_mel, rate_K_surface(f,:), Fs/(2*1000), rate_L_sample_freqs_mel);
+ end
+
+#{
+ if pad_end
+ AmdB_(f,1:L) = interp1([0 rate_K_sample_freqs_kHz Fs/2000],
+ [rate_K_surface(f,1) rate_K_surface(f,:) rate_K_surface(f,K)],
+ rate_L_sample_freqs_kHz,
+ "spline");
+ else
+ AmdB_(f,1:L) = interp1([0 rate_K_sample_freqs_kHz],
+ [rate_K_surface(f,1) rate_K_surface(f,:)],
+ rate_L_sample_freqs_kHz,
+ "spline");
+ end
+#}
+
+ %AmdB_(f,1:L) = interp_para(rate_K_sample_freqs_kHz, rate_K_surface(f,:), Fs/(2*1000), rate_L_sample_freqs_kHz);
+ %printf("f: %d %f %f %f\n", f, rate_K_sample_freqs_kHz(1), rate_L_sample_freqs_kHz(1), AmdB_(1));
+ model_(f,1) = Wo; model_(f,2) = L; model_(f,3:(L+2)) = 10 .^ (AmdB_(f, 1:L)/20);
+ end
+endfunction
+
+
+% PostFilter, has a big impact on speech quality after VQ. When used
+% on a mean removed rate K vector, it raises formants, and supresses
+% anti-formants. As it manipulates amplitudes, we normalise energy to
+% prevent clipping or large level variations. pf_gain of 1.2 to 1.5
+% (dB) seems to work OK. Good area for further investigations and
+% improvements in speech quality.
+
+function vec = post_filter(vec, sample_freq_kHz, pf_gain = 1.5, voicing)
+ % vec is rate K vector describing spectrum of current frame
+ % lets pre-emp before applying PF. 20dB/dec over 300Hz
+
+ pre = 20*log10(sample_freq_kHz/0.3);
+ vec += pre;
+
+ levels_before_linear = 10 .^ (vec/20);
+ e_before = sum(levels_before_linear .^2);
+
+ vec *= pf_gain;
+
+ levels_after_linear = 10 .^ (vec/20);
+ e_after = sum(levels_after_linear .^2);
+ gain = e_after/e_before;
+ gaindB = 10*log10(gain);
+ vec -= gaindB;
+
+ vec -= pre;
+endfunction
+
+
+% construct energy quantiser table, and save to text file to include in C
+
+function energy_q = create_energy_q
+ energy_q = 10 + 40/16*(0:15);
+endfunction
+
+function save_energy_q(fn)
+ energy_q = create_energy_q;
+ f = fopen(fn, "wt");
+ fprintf(f, "1 %d\n", length(energy_q));
+ for n=1:length(energy_q)
+ fprintf(f, "%f\n", energy_q(n));
+ end
+ fclose(f);
+endfunction
+
+
+% save's VQ in format that can be compiled by Codec 2 build system
+
+function save_vq(vqset, filenameprefix)
+ [Nvec order stages] = size(vqset);
+ for s=1:stages
+ fn = sprintf("%s_%d.txt", filenameprefix, s);
+ f = fopen(fn, "wt");
+ fprintf(f, "%d %d\n", order, Nvec);
+ for n=1:Nvec
+ for k=1:order
+ fprintf(f, "% 8.4f ", vqset(n,k,s));
+ end
+ fprintf(f, "\n");
+ end
+ fclose(f);
+ end
+endfunction
+
+
+% Decoder side interpolation of Wo and voicing, to go from 25 Hz
+% sample rate used over channel to 100Hz internal sample rate of Codec
+% 2.
+
+function [Wo_ voicing_] = interp_Wo_v(Wo1, Wo2, voicing1, voicing2)
+ M = 4;
+ max_amp = 80;
+
+ Wo_ = zeros(1,M);
+ voicing_ = zeros(1,M);
+ if !voicing1 && !voicing2
+ Wo_(1:M) = 2*pi/100;
+ end
+
+ if voicing1 && !voicing2
+ Wo_(1:M/2) = Wo1;
+ Wo_(M/2+1:M) = 2*pi/100;
+ voicing_(1:M/2) = 1;
+ end
+
+ if !voicing1 && voicing2
+ Wo_(1:M/2) = 2*pi/100;
+ Wo_(M/2+1:M) = Wo2;
+ voicing_(M/2+1:M) = 1;
+ end
+
+ if voicing1 && voicing2
+ Wo_samples = [Wo1 Wo2];
+ Wo_(1:M) = interp_linear([1 M+1], Wo_samples, 1:M);
+ voicing_(1:M) = 1;
+ end
+
+ #{
+ printf("f: %d f+M/2: %d Wo: %f %f (%f %%) v: %d %d \n", f, f+M/2, model(f,1), model(f+M/2,1), 100*abs(model(f,1) - model(f+M/2,1))/model(f,1), voicing(f), voicing(f+M/2));
+ for i=f:f+M/2-1
+ printf(" f: %d v: %d v_: %d Wo: %f Wo_: %f\n", i, voicing(i), voicing_(i), model(i,1), model_(i,1));
+ end
+ #}
+endfunction
+
+
+function [diff_weighted weights error g min_ind] = search_vq_weighted(target, vq, weight_gain)
+ [vq_rows vq_cols] = size(vq);
+
+ weight_gain = 0.1; % I like this vairable name as it is funny
+
+ % find mse for each vector
+
+ error = g = zeros(1, vq_rows);
+ diff = weights = diff_weighted = zeros(vq_rows, vq_cols);
+
+ weights = max(0.1, weight_gain .* (target + 20));
+
+ for i=1:vq_rows
+
+ % work out gain for best match
+
+ g(i) = sum((target - vq(i,:)).*weights)/vq_cols;
+
+ % Find weighted difference. This allocated more importance
+ % (error) to samples with higher energy, and stops really low
+ % level harmonics from having any impact. Note addition in dB
+ % is multiplication in linear
+
+ diff(i,:) = target - vq(i,:) - g(i);
+
+ diff_weighted(i,:) = diff(i,:) .* weights;
+
+ % abs in dB is MSE in linear
+
+ error(i) = mean(abs(diff_weighted(i,:)));
+ end
+
+ [mn min_ind] = min(error);
+
+endfunction
+
+
+% --------------------------------------------------------------------------------
+% Experimental functions used for masking, piecewise models, not part of newamp1
+% --------------------------------------------------------------------------------
+
+
+function [maskdB_ maskdB_cyclic Dabs dk_ D1_ ind] = decimate_in_freq(maskdB, cyclic=1, k=7, vq)
+
+ % Lets try to come up with a smoothed, cyclic model. Replace
+ % points from 3500 Hz to 4000Hz with a sequence that joins without
+ % a step to points at the 0Hz end of the spectrum. This will make
+ % it more cyclical and make the DFT happier, less high freq
+ % energy. Yes, happier is an extremely technical term.
+
+ L = length(maskdB);
+ anchor = floor(7*L/8);
+ xpts = [ anchor-1 anchor L+1 L+2];
+ ypts = [ maskdB(anchor-1) maskdB(anchor) maskdB(1) maskdB(2)];
+ mask_pp = splinefit(xpts, ypts, 1);
+ maskdB_cyclic = [maskdB(1:anchor) ppval(mask_pp, anchor+1:L)];
+
+ % Now DFT, truncating DFT coeffs to undersample
+
+ if cyclic
+ D = fft(maskdB_cyclic)/L;
+ else
+ D = fft(maskdB)/L;
+ end
+ Dabs = abs(D); % this returned for plotting
+
+ % truncate D to rate k, convert to 2k length real vector for quantisation and transmission
+
+ Dk = [0 D(2:k-1) real(D(k)) D(L-k+1:L)];
+ dk = real(ifft(Dk));
+ D1 = D(1);
+
+ % quantisation
+
+ if nargin == 4
+ [res tmp vq_ind] = mbest(vq, dk, 4);
+ D1_tab = 0:(60/15):60;
+ assert(length(D1_tab) == 16);
+ [tmp D1_ind] = quantise(D1_tab, D1);
+ ind = [vq_ind D1_ind];
+ [dk_ D1_] = index_to_params(ind, vq);
+ %std(dk_ - dk)
+ else
+ dk_ = dk;
+ D1_ = D1;
+ end
+
+ maskdB_ = params_to_mask(L, k, dk_, D1_);
+endfunction
+
+
+
+function [dk_ D1_] = index_to_params(ind, vq)
+ [Nvec order stages] = size(vq);
+ dk_ = zeros(1,order);
+ for s=1:stages
+ dk_ = dk_ + vq(ind(s),:,s);
+ end
+ D1_tab = 0:(60/15):60;
+ D1_ = D1_tab(ind(stages+1));
+endfunction
+
+
+% decoder side
+
+function maskdB_ = params_to_mask(L, k, dk_, D1_)
+
+ anchor = floor(7*L/8);
+
+ % convert quantised dk back to rate L magnitude spectrum
+
+ Dk_ = fft(dk_);
+ D_ = zeros(1,L);
+ D_(1) = D1_; % energy seperately quantised
+ D_(2:k-1) = Dk_(2:k-1);
+ D_(L-k+1:L) = Dk_(k+1:2*k);
+ d_ = L*ifft(D_); % back to spectrum at rate L
+ maskdB_ = real(d_);
+
+ % Finally fix up last 500Hz, taper down 10dB at 4000Hz
+
+ xpts = [ anchor-1 anchor L];
+ ypts = [ maskdB_(anchor-1) maskdB_(anchor) (maskdB_(anchor)-10)];
+ mask_pp = splinefit(xpts, ypts, 1);
+ maskdB_ = [maskdB_(1:anchor) ppval(mask_pp, anchor+1:L)];
+endfunction
+
+
+
+% determine cumulative mask, using amplitude of each harmonic. Mask is
+% sampled across L points in the linear domain
+
+function maskdB = determine_mask(masker_amps_dB, masker_freqs_kHz, mask_sample_freqs_kHz, bark_model=1)
+
+ % calculate and plot masking curve
+
+ maskdB = -20*ones(1,length(mask_sample_freqs_kHz));
+ for m=1:length(masker_freqs_kHz)
+ maskdB = max(maskdB, schroeder(masker_freqs_kHz(m), mask_sample_freqs_kHz, bark_model) + masker_amps_dB(m));
+ %maskdB = max(maskdB, parabolic_resonator(masker_freqs_kHz(m), mask_sample_freqs_kHz) + masker_amps_dB(m));
+ end
+end
+
+
+% Sample mask as model for Am
+
+function [maskdB Am_freqs_kHz] = mask_model(AmdB, Wo, L, bark_model=1)
+
+ Am_freqs_kHz = (1:L)*Wo*4/pi;
+ maskdB = determine_mask(AmdB, Am_freqs_kHz, Am_freqs_kHz, bark_model);
+endfunction
+
+
+%
+% Masking functions from http://www.perceptualentropy.com/coder.html#C
+% Thanks Jon Boley!
+%
+
+% Calculate the Schroeder masking spectrum for a given frequency and SPL
+
+function maskdB = schroeder(freq_tone_kHz, mask_sample_freqs_kHz, bark_model=1)
+ f_kHz = mask_sample_freqs_kHz;
+ f_Hz = f_kHz*1000;
+
+ % Schroeder Spreading Function
+
+ if bark_model == 0
+ dz = bark(freq_tone_kHz*1000)-bark(f_Hz);
+ end
+
+ if bark_model == 1
+
+ % Modification by DR: Piecewise linear model that makes bands
+ % beneath 1.5kHz wider to match the width of F1 and
+ % "fill in" the spectra better for UV sounds.
+
+ %x1 = 0.5; x2 = 2;
+ %y1 = 0.5; y2 = 1;
+ x1 = 0.5; x2 = 3;
+ y1 = 1; y2 = 3;
+
+ grad = (y2 - y1)/(x2 - x1);
+ y_int = y1 - grad*x1;
+
+ if freq_tone_kHz <= x1
+ y = y1;
+ end
+ if (freq_tone_kHz > x1) && (freq_tone_kHz < x2)
+ y = grad*freq_tone_kHz + y_int;
+ end
+ if freq_tone_kHz >= x2
+ y = y2;
+ end
+ dz = y*(bark(freq_tone_kHz*1000) - bark(f_Hz));
+ end
+
+ if bark_model == 2
+
+ % constant bandwidth model, useful for bg noise and UV
+
+ %dz = bark(freq_tone_kHz*1000) - bark(f_Hz);
+ dz = 0.2*bark(freq_tone_kHz*1000-f_Hz);
+ end
+
+ maskdB = 15.81 + 7.5*(dz+0.474) - 17.5*sqrt(1 + (dz+0.474).^2);
+endfunction
+
+
+% Converts frequency to bark scale
+% Frequency should be specified in Hertz
+
+function b=bark(f)
+ b = 13*atan(0.76*f/1000) + 3.5*atan((f/7500).^2);
+endfunction
+
+
+% Alternative mask function that has a gentler slope than schroeder.
+% Idea is to get sharp formant definition, but also fill in gaps so we
+% dont get chunks of spectrum coming and going
+
+function [maskdB pp] = resonator(freq_tone_kHz, mask_sample_freqs_kHz)
+ % note all frequencies in kHz
+
+ f1 = 0.1; f2 = 3;
+ bw1 = 0.1; bw2 = 0.1;
+ m = (bw2-bw1)/(log10(f2)-log10(f1));
+ c = bw1 - m*log10(f1);
+
+ Fs = 8;
+ slope = -12; % filter falls off by this slope/octave
+
+ maskdB = zeros(1, length(mask_sample_freqs_kHz));
+
+ % frequency dependant bandwidth
+
+ bw = m*log10(freq_tone_kHz) + c;
+ printf("freq_tone_kHz: %f bw: %f\n", freq_tone_kHz, bw);
+
+ % Design spline to set shape based on current bandwidth
+
+ x = [-Fs/2 -bw/2 0 +bw/2 +Fs/2];
+ delta = slope*log2(Fs/bw); % gain is delta down from -3dB to Fs/2
+ y = [-3 + delta, -3, 0, -3, -3 + delta];
+ pp = splinefit(x, y, 4);
+ maskdB = ppval(pp, mask_sample_freqs_kHz - freq_tone_kHz);
+endfunction
+
+
+function maskdB = resonator_fast(freq_tone_kHz, mask_sample_freqs_kHz)
+
+ % note all frequencies on kHz
+
+ #{
+ max_ind = length(pp_bw);
+ ind = round(freq_tone_kHz/0.1);
+ ind = min(ind, max_ind);
+ ind = max(ind, 1);
+ #}
+ %printf("freq_tone_kHz: %f ind: %d\n", freq_tone_kHz, ind);
+ [maskdB_res1 pp] = resonator(0.5, mask_sample_freqs_kHz);
+
+ maskdB = ppval(pp, mask_sample_freqs_kHz - freq_tone_kHz);
+ %maskdB = ppval(pp_bw(ind), mask_sample_freqs_kHz - freq_tone_kHz);
+endfunction
+
+
+% Alternative mask function that uses parabolas for fast computation
+
+function maskdB = parabolic_resonator(freq_tone_kHz, mask_sample_freqs_kHz)
+
+ % note all frequencies in kHz
+
+ % bandwidth as a function of log(f)
+
+ f1 = 0.5; f2 = 3;
+ bw1 = 0.1; bw2 = 0.3;
+ m = (bw2-bw1)/(log10(f2)-log10(f1));
+ c = bw1 - m*log10(f1);
+
+ Fs = 8;
+ slope = -18;
+
+ % frequency dependant bandwidth
+
+ if freq_tone_kHz < f1
+ bw = bw1;
+ else
+ bw = m*log10(freq_tone_kHz) + c;
+ end
+ %printf("freq_tone_kHz: %f bw: %f\n", freq_tone_kHz, bw);
+
+ % Design parabola to fit bandwidth
+
+ a = -3/((bw/2)^2);
+ %printf("freq_tone_kHz: %f bw: %f a: %f\n", freq_tone_kHz, bw, a);
+
+ % Design straight line to fit slope
+
+ delta = slope*log2(Fs/bw); % gain is delta down from -3dB to Fs/2
+ m1 = 2*delta/Fs;
+
+ maskdB_par = a*((mask_sample_freqs_kHz - freq_tone_kHz).^2);
+ maskdB_line = m1*abs(mask_sample_freqs_kHz - freq_tone_kHz) - 10;
+ %indx = find(mask_sample_freqs_kHz < freq_tone_kHz);
+ %maskdB_line(indx) = -50;
+
+ maskdB = max(maskdB_par, maskdB_line);
+endfunction
+
+
+% sampling the mask in one frame using an arbitrary set of samplng frequencies
+
+function maskdB = resample_mask(model, f, mask_sample_freqs_kHz)
+ max_amp = 80;
+
+ Wo = model(f,1);
+ L = min([model(f,2) max_amp-1]);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+ masker_freqs_kHz = (1:L)*Wo*4/pi;
+ maskdB = determine_mask(AmdB, masker_freqs_kHz, mask_sample_freqs_kHz);
+endfunction
+
+
+% decimate frame rate of mask, use linear interpolation in the log domain
+
+function maskdB_ = decimate_frame_rate(model, decimate, f, frames)
+ max_amp = 80;
+
+ Wo = model(f,1);
+ L = min([model(f,2) max_amp]);
+
+ % determine frames that bracket the one we need to interp
+
+ left_f = decimate*floor((f-1)/decimate)+1;
+ right_f = left_f + decimate;
+ if right_f > frames
+ right_f = left_f;
+ end
+
+ % determine fraction of each frame to use
+
+ left_fraction = 1 - mod((f-1),decimate)/decimate;
+ right_fraction = 1 - left_fraction;
+
+ printf("f: %d left_f: %d right_f: %d left_fraction: %3.2f right_fraction: %3.2f \n", f, left_f, right_f, left_fraction, right_fraction)
+
+ % fit splines to left and right masks
+
+ left_Wo = model(left_f,1);
+ left_L = min([model(left_f,2) max_amp]);
+ left_AmdB = 20*log10(model(left_f,3:(left_L+2)));
+ left_sample_freqs_kHz = (1:left_L)*left_Wo*4/pi;
+
+ right_Wo = model(right_f,1);
+ right_L = min([model(right_f,2) max_amp]);
+ right_AmdB = 20*log10(model(right_f,3:(right_L+2)));
+ right_sample_freqs_kHz = (1:right_L)*right_Wo*4/pi;
+
+ % determine mask for left and right frames, sampling at Wo for this frame
+
+ sample_freqs_kHz = (1:L)*Wo*4/pi;
+ maskdB_left = interp1(left_sample_freqs_kHz, left_AmdB, sample_freqs_kHz, "extrap");
+ maskdB_right = interp1(right_sample_freqs_kHz, right_AmdB, sample_freqs_kHz, "extrap");
+
+ maskdB_ = left_fraction*maskdB_left + right_fraction*maskdB_right;
+endfunction
+
+
+% plot some masking curves, used for working on masking filter changes
+
+function plot_masking(bark_model=0);
+ Fs = 8000;
+
+ figure(1)
+ mask_sample_freqs_kHz = 0.1:0.025:(Fs/1000)/2;
+ %maskdB_s0 = schroeder(0.5, mask_sample_freqs_kHz, 0);
+ %plot(mask_sample_freqs_kHz, maskdB_s0,';schroeder 0;');
+ maskdB_s1 = schroeder(0.5, mask_sample_freqs_kHz, bark_model);
+ plot(mask_sample_freqs_kHz, maskdB_s1,'g;schroeder 1;');
+ #{
+ maskdB_res = parabolic_resonator(0.5, mask_sample_freqs_kHz);
+ plot(mask_sample_freqs_kHz, maskdB_res,'r;resonator;');
+ #}
+ hold on;
+
+ for f=0.5:0.5:3
+ %maskdB_s0 = schroeder(f, mask_sample_freqs_kHz, 0);
+ %plot(mask_sample_freqs_kHz, maskdB_s0);
+ maskdB_s1 = schroeder(f, mask_sample_freqs_kHz, bark_model);
+ plot(mask_sample_freqs_kHz, maskdB_s1,'g');
+ #{
+ maskdB_res = parabolic_resonator(f, mask_sample_freqs_kHz);
+ plot(mask_sample_freqs_kHz, maskdB_res,'r;resonator;');
+ #}
+ end
+ hold off;
+
+ axis([0.1 4 -30 0])
+ grid
+
+ #{
+ %pp_bw = gen_pp_bw;
+ figure(2)
+ clf;
+ maskdB_res = resonator(0.5, mask_sample_freqs_kHz);
+ plot(mask_sample_freqs_kHz, maskdB_res);
+ hold on;
+ maskdB_res_fast = resonator_fast(0.5, mask_sample_freqs_kHz);
+ plot(mask_sample_freqs_kHz, maskdB_res_fast, "g");
+ maskdB_par = parabolic_resonator(0.5, mask_sample_freqs_kHz);
+ plot(mask_sample_freqs_kHz, maskdB_par, "r");
+ hold off;
+ axis([0 4 -80 0]);
+ grid
+ #}
+endfunction
+
+
+% produce a scatter diagram of amplitudes
+
+function amp_scatter(samname)
+
+ model_name = strcat(samname,"_model.txt");
+ model = load(model_name);
+ [frames nc] = size(model);
+ max_amp = 80;
+
+ Am_out_name = sprintf("%s_am.out", samname);
+ freqs = [];
+ ampsdB = [];
+
+ for f=1:frames
+
+ L = min([model(f,2) max_amp-1]);
+ Wo = model(f,1);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+
+ maskdB = mask_model(AmdB, Wo, L);
+ mask_sample_freqs_kHz = (1:L)*Wo*4/pi;
+ [newmaskdB local_maxima] = make_newmask(maskdB, AmdB, Wo, L, mask_sample_freqs_kHz);
+
+ [nlm tmp] = size(local_maxima);
+ freqs = [freqs (local_maxima(1:min(4,nlm),2)*Wo*4000/pi)'];
+ an_ampsdB = local_maxima(1:min(4,nlm),1)';
+ ampsdB = [ampsdB an_ampsdB-mean(an_ampsdB)];
+ end
+
+ figure(1)
+ plot(freqs, ampsdB,'+');
+ figure(2)
+ subplot(211)
+ hist(freqs,20)
+ subplot(212)
+ hist(ampsdB,20)
+endfunction
+
+
+
+% AbyS returns f & a, this function plots values so we can consider quantisation
+
+function plot_f_a_stats(f,a)
+
+ % freq pdfs
+
+ [fsrt fsrt_ind] = sort(f,2);
+ fsrt /= 1000;
+ figure(1)
+ for i=1:4
+ subplot(2,2,i)
+ hist(fsrt(:,i),50)
+ printf("%d min: %d max: %d\n", i, min(fsrt(:,i)), max(fsrt(:,i)))
+ an_axis = axis;
+ axis([0 4 an_axis(3) an_axis(4)])
+ end
+
+ % freq diff pdfs
+
+ figure(2)
+ for i=1:4
+ subplot(2,2,i)
+ if i == 1
+ hist(fsrt(:,i),50)
+ else
+ hist(fsrt(:,i) - fsrt(:,i-1),50)
+ end
+ an_axis = axis;
+ axis([0 4 an_axis(3) an_axis(4)])
+ end
+
+ % amplitude PDFs
+
+ l = length(a);
+ for i=1:l
+ asrt(i,:) = a(i, fsrt_ind(i,:));
+ end
+
+ figure(3)
+ for i=1:4
+ subplot(2,2,i)
+ hist(asrt(:,i) - mean(asrt(:,:),2))
+ an_axis = axis;
+ axis([-40 40 an_axis(3) an_axis(4)])
+ end
+
+ % find straight line fit
+
+ for i=1:l
+ [gradient intercept] = linreg(1000*fsrt(i,:), asrt(i,:), 4);
+ alinreg(i,:) = gradient*1000*fsrt(i,:) + intercept;
+ alinregres(i,:) = asrt(i,:) - alinreg(i,:);
+ m(i) = gradient; c(i) = intercept;
+ end
+
+ figure(4)
+ for i=1:4
+ subplot(2,2,i)
+ hist(alinregres(:,i))
+ an_axis = axis;
+ axis([-40 40 an_axis(3) an_axis(4)])
+ end
+
+ figure(5)
+ subplot(211)
+ m = m(find(m>-0.05));
+ m = m(find(m<0.03));
+ hist(m,50)
+ title('gradient');
+ subplot(212)
+ c = c(find(c>0));
+ hist(c,50)
+ title('y-int');
+
+endfunction
+
+function D1_log = decode_from_bit_stream(samname, ber = 0, bit_error_mask = ones(28,1))
+ max_amp = 80;
+ bits_per_param = [6 1 8 8 4 1];
+ assert(sum(bits_per_param) == 28);
+ load vq;
+ k = 10;
+ dec_in_time = 1;
+ train = 0;
+ decimate = 4;
+ synth_phase = 1;
+
+ Am_out_name = sprintf("%s_am.out", samname);
+ Aw_out_name = sprintf("%s_aw.out", samname);
+ bit_stream_name = strcat(samname,".bit");
+ faw = fopen(Aw_out_name,"wb");
+ fam = fopen(Am_out_name,"wb");
+ faw = fopen(Aw_out_name,"wb");
+
+ Wo_out_name = sprintf("%s_Wo.out", samname);
+ fWo = fopen(Wo_out_name,"wb");
+
+ % read in bit stream and convert to ind_log[]
+
+ ind_log = [];
+ fbit = fopen(bit_stream_name, "rb");
+ bits_per_frame = sum(bits_per_param);
+ nind = length(bits_per_param);
+ nerr = 0; nbits = 0;
+ [frame nread] = fread(fbit, sum(bits_per_param), "uchar");
+ while (nread == bits_per_frame)
+
+ % optionally introduce bit errors
+
+ error_bits = rand(sum(bits_per_param), 1) < ber;
+ error_bits_masked = bitand(error_bits, bit_error_mask);
+ frame = bitxor(frame, error_bits_masked);
+ nerr += sum(error_bits_masked);
+ nbits += sum(bits_per_param);
+
+ % read a frame, convert to indexes
+
+ nbit = 1;
+ ind = [];
+ for i=1:nind
+ field = frame(nbit:nbit+bits_per_param(i)-1);
+ nbit += bits_per_param(i);
+ ind = [ind bits_to_index(field, bits_per_param(i))];
+ end
+ ind_log = [ind_log; ind];
+ [frame nread] = fread(fbit, sum(bits_per_param), "uchar");
+ endwhile
+ fclose(fbit);
+ printf("nerr: %d nbits: %d %f\n", nerr, nbits, nerr/nbits);
+
+ % convert ind_log to modem params
+
+ frames = 4*length(ind_log);
+ model_ = zeros(frames, max_amp+2);
+ v = zeros(frames,1);
+ D1_log = [];
+
+ fdec = 1;
+ for f=1:4:frames
+ ind_Wo = ind_log(fdec,1);
+
+ Wo = decode_log_Wo(ind_Wo, 6);
+ L = floor(pi/Wo);
+ L = min([L max_amp-1]);
+ model_(f,1) = Wo;
+ model_(f,2) = L;
+
+ v1 = ind_log(fdec,2);
+ if (fdec+1) < length(ind_log)
+ v5 = ind_log(fdec+1,2);
+ else
+ v5 = 0;
+ end
+ v(f:f+3) = est_voicing_bits(v1, v5);
+
+ ind_vq = ind_log(fdec,3:5) + 1;
+ [dk_ D1_] = index_to_params(ind_vq, vq);
+ D1_log = [D1_log; D1_];
+ maskdB_ = params_to_mask(L, k, dk_, D1_);
+ Am_ = zeros(1,max_amp);
+ Am_ = 10 .^ (maskdB_(1:L)/20);
+ model_(f,3:(L+2)) = Am_;
+
+ fdec += 1;
+ end
+
+ % decoder loop -----------------------------------------------------
+
+ if train
+ % short circuit decoder
+ frames = 0;
+ end
+
+ % run post filter ahead of time so dec in time has post filtered frames to work with
+
+ for f=1:frames
+ model_(f,:) = post_filter(model_(f,:));
+ end
+
+ for f=1:frames
+ %printf("frame: %d\n", f);
+ L = min([model_(f,2) max_amp-1]);
+ Wo = model_(f,1);
+ Am_ = model_(f,3:(L+2));
+
+ maskdB_ = 20*log10(Am_);
+
+ if dec_in_time
+ % decimate mask samples in time
+
+ [maskdB_ Wo L] = decimate_frame_rate2(model_, decimate, f, frames);
+ model_(f,1) = Wo;
+ model_(f,2) = L;
+ end
+
+ Am_ = zeros(1,max_amp);
+ Am_(2:L) = 10 .^ (maskdB_(1:L-1)/20); % C array doesnt use A[0]
+ fwrite(fam, Am_, "float32");
+ fwrite(fWo, Wo, "float32");
+
+ if synth_phase
+
+ % synthesis phase spectra from magnitiude spectra using minimum phase techniques
+
+ fft_enc = 512;
+ model_(f,3:(L+2)) = 10 .^ (maskdB_(1:L)/20);
+ phase = determine_phase(model_, f);
+ assert(length(phase) == fft_enc);
+ Aw = zeros(1, fft_enc*2);
+ Aw(1:2:fft_enc*2) = cos(phase);
+ Aw(2:2:fft_enc*2) = -sin(phase);
+ fwrite(faw, Aw, "float32");
+ end
+ end
+
+ fclose(fam);
+ fclose(fWo);
+ if synth_phase
+ fclose(faw);
+ end
+
+ % save voicing file
+
+ v_out_name = sprintf("%s_v.txt", samname);
+ fv = fopen(v_out_name,"wt");
+ for f=1:length(v)
+ fprintf(fv,"%d\n", v(f));
+ end
+ fclose(fv);
+
+endfunction
+
+
+
+% decimate frame rate of mask, use linear interpolation in the log domain
+
+function [maskdB_ Wo L] = decimate_frame_rate2(model, decimate, f, frames)
+ max_amp = 80;
+
+ % determine frames that bracket the one we need to interp
+
+ left_f = decimate*floor((f-1)/decimate)+1;
+ right_f = left_f + decimate;
+ if right_f > frames
+ right_f = left_f;
+ end
+
+ % determine fraction of each frame to use
+
+ left_fraction = 1 - mod((f-1),decimate)/decimate;
+ right_fraction = 1 - left_fraction;
+
+ % printf("f: %d left_f: %d right_f: %d left_fraction: %3.2f right_fraction: %3.2f \n", f, left_f, right_f, left_fraction, right_fraction)
+
+ % fit splines to left and right masks
+
+ left_Wo = model(left_f,1);
+ left_L = min([model(left_f,2) max_amp]);
+ left_AmdB = 20*log10(model(left_f,3:(left_L+2)));
+ left_mask_sample_freqs_kHz = (1:left_L)*left_Wo*4/pi;
+
+ right_Wo = model(right_f,1);
+ right_L = min([model(right_f,2) max_amp]);
+ right_AmdB = 20*log10(model(right_f,3:(right_L+2)));
+ right_mask_sample_freqs_kHz = (1:right_L)*right_Wo*4/pi;
+
+ % printf(" right_Wo: %f left_Wo: %f right_L: %d left_L %d\n",right_Wo,left_Wo,right_L,left_L);
+ printf("%f %f\n", left_AmdB(left_L), right_AmdB(right_L));
+
+ maskdB_left_pp = splinefit(left_mask_sample_freqs_kHz, left_AmdB, left_L);
+ maskdB_right_pp = splinefit(right_mask_sample_freqs_kHz, right_AmdB, right_L);
+
+ % determine mask for left and right frames, sampling at Wo for this frame
+
+ Wo = left_fraction*left_Wo + right_fraction*right_Wo;
+ L = floor(pi/Wo);
+ %Wo = model(f,1); L = model(f,2);
+
+ mask_sample_freqs_kHz = (1:L)*Wo*4/pi;
+ maskdB_left = ppval(maskdB_left_pp, mask_sample_freqs_kHz);
+ maskdB_right = ppval(maskdB_right_pp, mask_sample_freqs_kHz);
+
+ maskdB_ = left_fraction*maskdB_left + right_fraction*maskdB_right;
+endfunction
+
+#{
+function amodel = post_filter(amodel)
+ max_amp = 80;
+
+ % post filter
+
+ L = min([amodel(2) max_amp-1]);
+ Wo = amodel(1);
+ Am_ = amodel(3:(L+2));
+ AmdB_ = 20*log10(Am_);
+ AmdB_pf = AmdB_*1.5;
+ AmdB_pf += max(AmdB_) - max(AmdB_pf);
+ amodel(3:(L+2)) = 10 .^ (AmdB_pf(1:L)/20);
+endfunction
+#}
+
+
+% Given a matrix with indexes on each row, convert to a bit stream and
+% write to file. We only write every 4th frame due to DIT
+
+function write_bit_stream_file(fn, ind_log, bits_per_param)
+ fbit = fopen(fn,"wb");
+ decimate = 4;
+
+ % take a row of quantiser indexes, convert to bits, save to file
+
+ [frames nind] = size(ind_log);
+ for f=1:decimate:frames
+ frame_of_bits = [];
+ arow = ind_log(f,:);
+ for i=1:nind
+ %printf("i: %d bits_per_param: %d\n", i, bits_per_param(i));
+ some_bits = index_to_bits(arow(i), bits_per_param(i));
+ frame_of_bits = [frame_of_bits some_bits];
+ end
+ fwrite(fbit, frame_of_bits, "uchar");
+ end
+ fclose(fbit);
+endfunction
+
+
+
+% determine 4 voicing bits based on 2 decimated voicing bits
+
+function [v] = est_voicing_bits(v1, v5)
+ if v1 == v5
+ v(1:4) = v1;
+ else
+ v(1:2) = v1;
+ v(3:4) = v5;
+ end
+endfunction
+
+
+function [AmdB_ residual fvec fvec_ amps] = piecewise_model(AmdB, Wo, vq, vq_m)
+ L = length(AmdB);
+ l1000 = floor(L/4);
+ AmdB_ = ones(1,L);
+ mask_sample_freqs_kHz = (1:L)*Wo*4/pi;
+
+ % fit a resonator to max of first 300 - 1000 Hz
+
+ fmin = 0.150;
+ lmin = floor(L*fmin/4);
+ [mx mx_ind] = max(AmdB(lmin+1:l1000));
+ amp(1) = mx;
+ mx_ind += lmin;
+ AmdB_ = parabolic_resonator(mx_ind*Wo*4/pi, mask_sample_freqs_kHz) + mx;
+ fr1 = mx_ind*Wo*4/pi;
+
+ % fit a 2nd resonator, must be above 1000Hz
+
+ fmin = 1;
+ lmin = round(fmin*L/4);
+
+ [mx mx_ind] = max(AmdB(lmin+1:L));
+ amp(2) = mx;
+ mx_ind += lmin;
+ AmdB_ = max(AmdB_, parabolic_resonator(mx_ind*Wo*4/pi, mask_sample_freqs_kHz) + mx);
+ fr2 = mx_ind*Wo*4/pi;
+
+ % fit a third resonator, must be +/- 300 Hz after 2nd resonator
+
+ residual = AmdB - AmdB_;
+ keep_out = [1:lmin];
+ lmax = round(L*3500/4000);
+ keep_out = [1:lmin lmax:L];
+ residual(keep_out) = -40;
+
+ fr2 = mx_ind*Wo*4/pi;
+ fmin = fr2 - 0.300;
+ fmax = fr2 + 0.300;
+ lmin = max(1, round(L*fmin/4));
+ lmax = min(L, round(L*fmax/4));
+ keep_out = [keep_out lmin:lmax];
+
+ residual = AmdB;
+ residual(keep_out) = -40;
+
+ if 0
+ figure(3); clf;
+ subplot(211)
+ plot(mask_sample_freqs_kHz, residual);
+ end
+
+ [mx mx_ind] = max(residual);
+ amp(3) = AmdB(mx_ind);
+ AmdB_ = max(AmdB_, parabolic_resonator(mx_ind*Wo*4/pi, mask_sample_freqs_kHz) + amp(3));
+ fr3 = mx_ind*Wo*4/pi;
+
+ % 4th resonator
+
+ fmin = fr3 - 0.300;
+ fmax = fr3 + 0.300;
+
+ lmin = max(1, round(L*fmin/4));
+ lmax = min(L, round(L*fmax/4));
+ keep_out = [keep_out lmin:lmax];
+
+ residual = AmdB - AmdB_;
+ residual(keep_out) = -40;
+
+ [mx mx_ind] = max(residual);
+ amp(4) = AmdB(mx_ind);
+ AmdB_ = max(AmdB_, parabolic_resonator(mx_ind*Wo*4/pi, mask_sample_freqs_kHz) + amp(4));
+ fr4 = mx_ind*Wo*4/pi;
+
+ if 0
+ subplot(212)
+ plot(mask_sample_freqs_kHz, residual);
+ end
+
+ printf("\nfr1: %f fr2: %f fr3: %f fr4: %f\n", fr1, fr2, fr3, fr4);
+ [fvec fvec_ind] = sort([fr1 fr2 fr3 fr4]);
+ amps = amp(fvec_ind(1:4));
+
+ fvec_ = zeros(1, 4);
+
+ #{
+ % optional VQ of frequencies
+
+ if nargin == 4
+ AmdB_ = ones(1,L);
+ [mes fvec_ ind] = mbest(vq, fvec, vq_m);
+ for i=1:4
+ an_amp = amp(fvec_ind(i));
+ AmdB_ = max(AmdB_, parabolic_resonator(fvec_(i), mask_sample_freqs_kHz) + an_amp);
+ end
+ end
+ #}
+
+ % optional VQ of amplitudes
+
+ if nargin == 4
+ AmdB_ = ones(1,L);
+ %amps_(1) = amps(1);
+ %[mes tmp ind] = mbest(vq, amps(2:4) - amps_(1), vq_m);
+ %amps_(2:4) = amps_(1) + tmp;
+ [mes amps_ ind] = mbest(vq, amps, vq_m);
+ amps-amps_
+ for i=1:4
+ AmdB_ = max(AmdB_, parabolic_resonator(fvec(i), mask_sample_freqs_kHz) + amps_(i));
+ end
+ end
+
+ %amps = amps(2:4) - amps(1);
+endfunction
+
+
+% find best place for resonator by closed loop min MSE search
+
+function lmin = abys(AmdB_, AmdB, Wo, L, mask_sample_freqs_kHz)
+ lstart = round(L/4);
+ lmin = lstart;
+ emin = 1E6;
+
+ printf("lstart: %d L: %d\n", lstart, L);
+
+ figure(3);
+ subplot(211)
+ plot(mask_sample_freqs_kHz*1000, AmdB,'r+-');
+
+ e = zeros(1,L);
+ for l=lstart:L
+
+ % calc mse
+
+ f_l = l*Wo*4/pi;
+ AmdB_l = max(AmdB_, parabolic_resonator(f_l, mask_sample_freqs_kHz) + AmdB(l));
+ hold on;
+ if l == 23
+ plot(mask_sample_freqs_kHz*1000, AmdB_l,'c');
+ end
+ hold off;
+ e(l) = sum((AmdB_l - AmdB) .^ 2);
+ %printf("l: %5d f_l: %4.3f e: %4.0f emin: %4.0f lmin: %5d\n", l, f_l, emin, lmin);
+ printf("l: %5d f_l: %4.3f e: %4.0f emin: %4.0f lmin: %5d\n", l, f_l, e(l), emin, lmin);
+ if e(l) < emin
+ emin = e(l);
+ lmin = l;
+ end
+ end
+
+ subplot(212)
+ plot(mask_sample_freqs_kHz*1000, e)
+endfunction
+
+
+function rate_K_surface_no_slope = remove_slope(rate_K_surface)
+ [frames K] = size(rate_K_surface);
+ rate_K_surface_no_slope = zeros(frames,K);
+ for f=1:frames
+ [gradient intercept] = linreg(1:K, rate_K_surface(f,:), K);
+ printf("f: %d gradient: %f intercept: %f\n", f, gradient, intercept);
+ rate_K_surface_no_slope(f,:) = rate_K_surface(f,:) - (intercept + gradient*(1:K));
+ end
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/newamp1_batch.m b/libcodec2-android/src/codec2/octave/newamp1_batch.m
new file mode 100644
index 0000000..90e24a6
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp1_batch.m
@@ -0,0 +1,1821 @@
+% newamp1_batch.m
+%
+% Copyright David Rowe 2016
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+
+#{
+
+ Octave script to batch process model parameters using the new
+ amplitude model, version 1. Outputs another set of model parameters
+ that can be fed to c2sim for listening tests. The companion
+ newamp1_fbf.m script is used to visualise the processing frame by frame
+
+ c2sim -> dump files -> newamp1_batch.m -> output model params -> c2sim -> play
+
+ The newamp1_xxx scripts have evolved to (i) resample {Am} using a
+ mel frequency axis, (ii) 2 stage VQ the mean removed vector. Seems to work
+ OK at 700 bit/s, comparable to 1300.
+
+ Usage:
+
+ build codec2 with -DDUMP - see codec2-dev/README, then:
+
+ ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --dump hts1a
+ $ cd ~/codec2-dev/octave
+ octave:14> newamp1_batch("../build_linux/src/hts1a")
+ ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --amread hts1a_am.out -o - | play -t raw -r 8000 -s -2 -
+
+ Or with a little more processing, first dump energy and voicing, the
+ import Wo, voicing, phase spectra which simulates all the decoder
+ DSP. We switch on lpc 10 just to dump voicing.
+
+ $ ./c2sim ../../raw/vk5qi.raw --phase0 --postfilter --dump vk5qi --lpc 10 --dump_pitch_e vk5qi_pitche.txt
+ octave:14> newamp1_batch("../build_linux/src/vk5qi", "../build_linux/src/vk5qi.out");
+ $ ./c2sim ../../raw/vk5qi.raw --phase0 --postfilter --amread vk5qi_am.out --hmread vk5qi_hm.out --Woread vk5qi_Wo.out --hand_voicing vk5qi_v.txt -o - | play -q -t raw -r 8000 -s -2 -
+
+#}
+
+
+% In general, this function processes a bunch of amplitudes, we then
+% use c2sim to hear the results. Bunch of different experiments below
+
+function [surface_no_mean surface] = newamp1_batch(input_prefix, varargin)
+ newamp;
+ more off;
+
+ max_amp = 160;
+ mean_f = [];
+
+ % defaults
+
+ synth_phase = output = 1;
+ output_prefix = input_prefix;
+ vq_type = "";
+ vq_filename = "";
+ vq_search = "mse";
+ mode = "const";
+ fit_order = 0;
+ mean_remove = 1;
+
+ % parse variable argument list
+
+ if (length (varargin) > 0)
+
+ % check for the "output_prefix" option
+
+ ind = arg_exists(varargin, "output_prefix");
+ if ind
+ output_prefix = varargin{ind+1};
+ end
+ ind = arg_exists(varargin, "mode");
+ if ind
+ mode = varargin{ind+1};
+ end
+
+ ind = arg_exists(varargin, "no_output");
+ if ind
+ output = 0;
+ synth_phase = 0;
+ end
+ end
+
+ printf("output: %d\n", output);
+ if (output)
+ printf("output_prefix: %s\n", output_prefix);
+ end
+
+ model_name = strcat(input_prefix,"_model.txt");
+ model = load(model_name);
+ [frames nc] = size(model);
+
+ voicing_name = strcat(input_prefix,"_pitche.txt");
+ voicing = zeros(1,frames);
+
+ if exist(voicing_name, "file") == 2
+ pitche = load(voicing_name);
+ voicing = pitche(:, 3);
+ end
+
+ % Choose experiment to run test here -----------------------
+
+ if strcmp(mode, 'dct2')
+ [model_ surface] = experiment_rate_K_dct2(model, 0, 1, voicing);
+ end
+ if strcmp(mode, 'mel')
+ [model_ surface sd_log] = experiment_mel_freq(model, 0, 1, voicing);
+
+ end
+ if strcmp(mode, 'const')
+ [model_ surface b_log] = experiment_const_freq(model, varargin{:});
+ ind = arg_exists(varargin, "vq_search");
+ if ind
+ if strcmp(varargin{ind+1},"para") || strcmp(varargin{ind+1},"cubic") || strcmp(varargin{ind+1},"sg")
+ fn = sprintf("%s_b_log.txt", output_prefix);
+ save(fn,"b_log");
+ end
+ end
+ end
+ if strcmp(mode, 'pred')
+ [model_ surface b_log] = experiment_const_freq_pred(model, varargin{:});
+ mean_remove = 0;
+ end
+ if strcmp(mode, 'piecewise')
+ model_ = experiment_piecewise(model);
+ end
+ if strcmp(mode, 'dct')
+ model_ = experiment_dct(model);
+ end
+
+ % ----------------------------------------------------
+
+ if output
+ Am_out_name = sprintf("%s_am.out", output_prefix);
+ fam = fopen(Am_out_name,"wb");
+
+ Wo_out_name = sprintf("%s_Wo.out", output_prefix);
+ fWo = fopen(Wo_out_name,"wb");
+
+ if synth_phase
+ Hm_out_name = sprintf("%s_hm.out", output_prefix);
+ fhm = fopen(Hm_out_name,"wb");
+ end
+
+ for f=1:frames
+ %printf("%d ", f);
+ Wo = model_(f,1); L = min([model_(f,2) max_amp-1]); Am = model_(f,3:(L+2));
+ if Wo*L > pi
+ printf("Problem: %d Wo*L > pi\n", f);
+ end
+
+ Am_ = zeros(1,max_amp); Am_(2:L) = Am(1:L-1); fwrite(fam, Am_, "float32");
+ fwrite(fWo, Wo, "float32");
+
+ if synth_phase
+
+ % synthesis phase spectra from magnitiude spectra using minimum phase techniques
+
+ fft_enc = 512;
+ phase = determine_phase(model_, f, fft_enc);
+ assert(length(phase) == fft_enc);
+
+ % sample phase at centre of each harmonic, not 1st entry Hm(1:2) in octave Hm[0] in C
+ % is not used
+
+ Hm = zeros(1, 2*max_amp);
+ for m=1:L
+ b = round(m*Wo*fft_enc/(2*pi));
+ Hm(2*m+1) = cos(phase(b));
+ Hm(2*m+2) = sin(phase(b));
+ end
+ fwrite(fhm, Hm, "float32");
+ end
+ end
+
+ fclose(fam);
+ fclose(fWo);
+ if synth_phase
+ fclose(fhm);
+ end
+
+ % save voicing file
+
+ if exist("voicing_", "var")
+ v_out_name = sprintf("%s_v.txt", output_prefix);
+ fv = fopen(v_out_name,"wt");
+ for f=1:length(voicing_)
+ fprintf(fv,"%d\n", voicing_(f));
+ end
+ fclose(fv);
+ end
+ end
+
+ if mean_remove
+ for f=1:frames
+ surface_no_mean(f,:) = surface(f,:) - mean(surface(f,:));
+ end
+ else
+ surface_no_mean = surface;
+ end
+
+ printf("\n")
+
+endfunction
+
+
+function surface = slope_and_mean_removal(surface)
+ [frames K] = size(surface);
+ for f=1:frames
+ v = surface(f,:);
+ [m b] = linreg(1:K, v, K);
+ v -= m*(1:K) + b;
+ surface(f,:) = v;
+ end
+endfunction
+
+
+function ind = arg_exists(v, str)
+ ind = 0;
+ for i=1:length(v)
+ if !ind && strcmp(v{i}, str)
+ ind = i;
+ end
+ end
+endfunction
+
+
+% Basic unquantised rate K linear sampling then back to rate L. Used for generating
+% training vectors and testing vector quntisers.
+
+function [model_ rate_K_surface b_log] = experiment_const_freq(model, varargin)
+ melvq;
+ [frames nc] = size(model);
+ Fs = 8000;
+ fg = 1;
+ mask_en = 0;
+ vq_search = "gain"; % default to gain search method as it's our favourite atm
+ nvq = 0; % number of vector quantisers
+ vq_start = [];
+ quant_en = 0;
+ b_log = [];
+ decimate = 0; decimate_var = 0;
+
+ rate_K_sample_freqs_kHz = [0.1:0.1:4];
+ K = length(rate_K_sample_freqs_kHz);
+
+ % parse command line options
+
+ % specify one of more vqs, start index, vq file name, and search method
+
+ ind = anind = arg_exists(varargin, "vq");
+ while anind
+ nvq++;
+ vq_start = [vq_start varargin{ind+1}];
+ avq_filename = varargin{ind+2};
+ if nvq < 2; vq_filename = avq_filename; else; vq_filename = [vq_filename; avq_filename]; end;
+ avq_search = varargin{ind+3};
+ if nvq < 2; vq_search = avq_search; else; vq_search = [vq_search; avq_search]; end;
+ printf("nvq %d vq_start: %d vq_filename: %s vq_search: %s\n", nvq, vq_start(nvq), avq_filename, avq_search);
+ anind = arg_exists(varargin(ind+1:length(varargin)), "vq");
+ if anind
+ ind += anind;
+ end
+ end
+
+ ind = arg_exists(varargin, "vq_gain");
+ if ind
+ avq_filename = varargin{ind+1};
+ x = load(avq_filename); vq_gain = x.vq;
+ quant_en = 1
+ end
+
+ quant_en = arg_exists(varargin, "quant");
+
+ ind = arg_exists(varargin, "decimate");
+ if ind
+ decimate = varargin{ind+1};
+ end
+
+ % read in optional vector that defines sampling points for
+ % decimation, each entry is the frame number of a sample e.g.
+ % [1 8 10 12 ....
+
+ ind = arg_exists(varargin, "decsamfile");
+ if ind
+ dec_filename = varargin{ind+1};
+ decvec = load(dec_filename); Ndv = length(decvec);
+ decimate_var = 1;
+ end
+
+ % OK start processing ............................................
+
+ energy = zeros(1,frames);
+ for f=1:frames
+ L = model(f,2);
+ energy(f) = 10*log10(sum( model(f,3:(L+2)) .^ 2 ));
+ end
+
+ rate_K_surface = resample_const_rate_f(model, rate_K_sample_freqs_kHz, Fs);
+
+ #{
+ % optional target modification using masking - this didn't help VQ
+
+ if mask_en
+ for f=1:frames
+ rate_K_vec = rate_K_surface(f,:);
+ maskdB = determine_mask(rate_K_vec, rate_K_sample_freqs_kHz, rate_K_sample_freqs_kHz, bark_model=1);
+ target = rate_K_vec;
+ mask_thresh = 6;
+ ind = find (maskdB - target > mask_thresh);
+ target(ind) = maskdB(ind) - mask_thresh;
+ rate_K_surface(f,:) = target;
+ end
+ end
+ #}
+
+ % remove mean ie global "gain" term
+
+ rate_K_surface_no_mean = zeros(frames,K);
+ meanf = zeros(1,frames);
+ for f=1:frames
+ meanf(f) = mean(rate_K_surface(f,:));
+ rate_K_surface_no_mean(f,:) = rate_K_surface(f,:) - meanf(f);
+ end
+
+ % optional vector quantise
+
+ if nvq
+
+ % note we init with target (ideal) to fill in values not covered by this VQ
+
+ rate_K_surface_no_mean_ = rate_K_surface_no_mean;
+ res = zeros(frames, K); ind = zeros(frames, nvq);
+
+ gains = zeros(frames, nvq);
+
+ % quantise using split VQs
+
+ for i=1:nvq
+ avq_filename = char(cellstr(vq_filename)(i));
+ avq_search = char(cellstr(vq_search)(i));
+ x = load(avq_filename); vq = x.vq; [vq_rows vq_cols] = size(vq);
+ vq_st = vq_start(i); vq_en = vq_st + vq_cols - 1;
+ printf("split VQ: %d vq_filename: %s vq_search: %s vq_st: %d vq_en: %d nVec: %d\n", i, avq_filename, avq_search, vq_st, vq_en, vq_rows);
+
+ if strcmp(avq_search, "mse")
+ [idx contrib errors test_ g mg sl] = vq_search_mse(vq, rate_K_surface_no_mean(:,vq_st:vq_en));
+ end
+
+ if strcmp(avq_search, "gain")
+ [idx contrib errors b_log] = vq_search_gain(vq, rate_K_surface_no_mean(:,vq_st:vq_en), weights);
+ end
+
+ if strcmp(avq_search, "max")
+ [idx contrib errors b_log] = vq_search_max(vq, rate_K_surface_no_mean(:,vq_st:vq_en), weights);
+ end
+
+ if strcmp(avq_search, "mg")
+ [idx contrib errors b_log] = vq_search_mg(vq, rate_K_surface_no_mean(:,vq_st:vq_en));
+ gains(:, i) = b_log(:, 2);
+ end
+
+ if strcmp(avq_search, "sg")
+ [idx contrib errors b_log] = vq_search_sg(vq, rate_K_surface_no_mean(:,vq_st:vq_en));
+ b_log = [b_log energy' idx'];
+ end
+
+ if strcmp(avq_search, "slope")
+ [idx contrib errors b_log] = vq_search_slope(vq, rate_K_surface_no_mean(:,vq_st:vq_en),
+ "closed_quant_slope", "open_quant_slope");
+ b_log = [b_log energy' idx'];
+ gains(:, i) = b_log(:, 3);
+ end
+
+ if strcmp(avq_search, "para")
+ [idx contrib errors b_log] = vq_search_para(vq, rate_K_surface_no_mean(:,vq_st:vq_en));
+ b_log = [b_log energy' idx'];
+
+ if quant_en
+ k = 1:vq_cols; k2 = k.^2;
+#{
+ [nr nc] = size(vq_gain);
+ for f=1:frames
+ v = vq(idx(f),:);
+ b = b_log(f,:);
+
+ para_target = k2*b(2) + k*b(3) + b(4);
+
+ % search vq_gain for best match to gain coefficients
+
+ d = g = zeros(nr,1);
+ for r=1:nr
+ g(r) = (sum(para_target) - sum(vq_gain(r,:)))/vq_cols;
+ diff = para_target - (vq_gain(r,:) + g(r));
+ d(r) = diff*diff';
+ end
+ [dmin imin] = min(d);
+
+ % recalc contrib
+
+ printf("f: %d imin: %d g: %f\n", f, imin, g(imin));
+ contrib(f,:) = b(1)*vq(idx(f),:) + vq_gain(imin,:) + g(imin);
+#}
+ for f=1:frames
+ target = rate_K_surface_no_mean(f,vq_st:vq_en);
+ b = b_log(f,:);
+ para_target = k2*b(2) + k*b(3) + b(4);
+ para_target(1) = quantise([-20 -10 0 10], para_target(1));
+ para_target(10) = quantise([-3 +3], para_target(10));
+ b_ = polyfit([k(1) k(10) k(25)],
+ [para_target(1) para_target(10) -10],
+ 2);
+ v = vq(idx(f),:);
+ contrib(f,:) = b(1)*v + b_(1)*k2 + b_(2)*k + b_(3);
+ printf("f: %d pt1: %f pt10: %f b_(1): %f b_(2): %f b_(3): %f \n", f, para_target(1), para_target(10), b_(1), b_(2), b_(3));
+ end
+ end
+ end
+
+ if strcmp(avq_search, "cubic")
+ [idx contrib errors b_log] = vq_search_cubic(rate_K_surface_no_mean(:,vq_st:vq_en));
+ b_log = [b_log energy' idx'];
+ end
+
+ rate_K_surface_no_mean_(:, vq_st:vq_en) = contrib;
+ res(:, vq_st:vq_en) = rate_K_surface_no_mean(:, vq_st:vq_en) - contrib;
+ ind(:,i) = idx;
+
+ % histograms of higher order gain/shape params
+
+ if strcmp(avq_search, "gain")
+ figure(fg++); clf; hist(b_log, 30); title('gain')
+ end
+
+ if strcmp(avq_search, "mg")
+ figure(fg++); clf; hist(b_log(:,1),30); title('mag')
+ end
+
+ if strcmp(avq_search, "slope")
+
+ hmg = hsl = zeros(1,frames);
+ for f=1:frames
+ hmg(f) = b_log(f, 1);
+ hsl(f) = b_log(f, 2);
+ end
+ figure(fg++); clf; hist(hmg, 30); title('mag')
+ figure(fg++); clf; hist(hsl, 30); title('slope')
+ end
+
+ sd_per_frame = std(res(:,vq_st:vq_en)');
+ t=sprintf("VQ %d", i);
+ figure(fg++); subplot(211); plot(energy); title(t); subplot(212); plot(sd_per_frame);
+ figure(fg++); subplot(211); hist(sd_per_frame); title(t); subplot(212); hist(ind(:,i),100);
+ printf("VQ rms SD: %3.2f\n", mean(sd_per_frame));
+ end
+
+ figure(fg++); clf; mesh(res);
+
+ else
+ rate_K_surface_no_mean_ = rate_K_surface_no_mean;
+ end
+
+ for f=1:frames
+ rate_K_surface_(f,:) = rate_K_surface_no_mean_(f,:) + meanf(f);
+ end
+
+ % optional decimation
+
+ if decimate
+ %lf = [1.00 0.75 0.50 0.25];
+ %lf = [1.00 1.00 0.50 0.00];
+ %lf = [1.00 1.00 0.00 0.00];
+ lf = [1.00 0.80 0.20 0.00];
+
+ for f=1:frames
+
+ % determine frames that bracket the one we need to interp
+
+ left_f = decimate*floor((f-1)/decimate)+1;
+ right_f = left_f + decimate;
+ if right_f > frames
+ right_f = left_f;
+ end
+
+ % determine fraction of each frame to use
+
+ left_fraction = lf(mod(f-1,decimate)+1);
+ right_fraction = 1 - left_fraction;
+
+ rate_K_surface_(f,:) = left_fraction*rate_K_surface_(left_f,:) + right_fraction*rate_K_surface_(right_f,:);
+ printf("f: %d left_f: %d right_f: %d left_fraction: %3.2f right_fraction: %3.2f \n", f, left_f, right_f, left_fraction, right_fraction)
+ end
+ end
+
+ if decimate_var
+ %decvec = 1:4:frames;
+ d = 1; Ndv = length(decvec); right_f = 1;
+ for f=1:frames
+
+ % determine frames that bracket the one we need to interp
+
+ if f == decvec(d)
+ left_f = right_f;
+ if d < Ndv
+ d++;
+ right_f = decvec(d);
+ decimate = decvec(d) - decvec(d-1);
+ end
+ end
+
+ % determine fraction of each frame to use
+
+ left_fraction = 1 - (f - left_f)/decimate;
+ right_fraction = 1 - left_fraction;
+
+ rate_K_surface_(f,:) = left_fraction*rate_K_surface_(left_f,:) + right_fraction*rate_K_surface_(right_f,:);
+ printf("f: %d dec: %d lf: %d rf: %d lfrac: %3.2f rfrac: %3.2f \n", f, decimate, left_f, right_f, left_fraction, right_fraction)
+ end
+ end
+
+ [model_ AmdB_] = resample_rate_L(model, rate_K_surface_, rate_K_sample_freqs_kHz, Fs);
+
+ % Measure distortion between AmdB and AmdB_, ths includes distortion
+ % in the rate K <-> L transition. Can optionally plot distorted
+ % frames
+
+ plot_sd_thresh = 5;
+ sd = zeros(1,frames);
+ for f=1:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ AmdB = 20*log10(model(f,3:(L+2)));
+ sd(f) = std(AmdB(1:L) - AmdB_(f,1:L));
+ if (sd(f) > plot_sd_thresh) && (fg < 10)
+ printf("fg: %d f: %d\n", fg, f);
+ figure(fg++); clf; plot((1:L)*Wo*4/pi, AmdB(1:L),'b+-'); hold on; plot((1:L)*Wo*4/pi, AmdB_(f,1:L),'r+-');
+ plot(rate_K_sample_freqs_kHz, rate_K_surface_(f,:), 'c+-'); hold off;
+ end
+ end
+ printf("rate K resampling SD: %3.2f\n", mean(sd));
+ figure(fg++); clf; subplot(211); plot(energy); subplot(212); plot(sd); title('sdL');
+ figure(fg++); clf; hist(sd);
+
+ %figure(fg++); clf; plot(gains);
+ %figure(fg++); clf; plot(gains(:,1), gains(:,2), '+');
+endfunction
+
+function model_ = experiment_dct(model)
+
+ [frames tmp] = size(model); max_amp = 160;
+
+ for f=1:frames
+ printf("%d ", f);
+ Wo = model(f,1);
+ L = min([model(f,2) max_amp-1]);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+
+ % fit model
+
+ D = dct(AmdB);
+ E = zeros(1,L);
+ E(1:min(20,L)) = D(1:min(20,L));
+ AmdB_ = idct(D);
+
+ model_(f,1) = Wo; model_(f,2) = L; model_(f,3:(L+2)) = 10 .^ (AmdB_(1:L)/20);
+ end
+
+endfunction
+
+
+% Predictive VQ using rate K resampled vectors, and rate 2 decimation
+
+function [model_ rate_K_surface_pred_ b_log] = experiment_const_freq_pred(model, varargin)
+ melvq;
+ [frames nc] = size(model);
+ Fs = 8000;
+ fg = 1;
+ nvq = 0; % number of vector quantisers
+ vq_start = [];
+ quant_en = 0;
+ b_log = [];
+ decimate = 2;
+ frames2 = floor(frames/decimate);
+
+ rate_K_sample_freqs_kHz = [0.1:0.1:4];
+ K = length(rate_K_sample_freqs_kHz);
+
+ % parse command line options
+
+ % set vq search algorithm, e.g. mse, gain, mag, slope. We've settled on "gain" for now
+ % as slope required extra bits to quantise higher order parameters that offset advantages
+
+ ind = arg_exists(varargin, "vq_search");
+ if ind
+ vq_search = varargin{ind+1};
+ end
+
+ % specify one of more VQs
+
+ ind = anind = arg_exists(varargin, "vq");
+ while anind
+ nvq++;
+ vq_start = [vq_start varargin{ind+1}];
+ avq_filename = varargin{ind+2};
+ if nvq < 2
+ vq_filename = avq_filename;
+ else
+ vq_filename = [vq_filename; avq_filename];
+ end
+ printf("nvq %d vq_start: %d vq_filename: %s\n", nvq, vq_start(nvq), avq_filename);
+ anind = arg_exists(varargin(ind+1:length(varargin)), "vq");
+ if anind
+ ind += anind;
+ end
+ end
+
+ ind = arg_exists(varargin, "vq_gain");
+ if ind
+ avq_filename = varargin{ind+1};
+ x = load(avq_filename); vq_gain = x.vq;
+ quant_en = 1
+ end
+
+ ind = arg_exists(varargin, "decimate");
+ if ind
+ decimate = varargin{ind+1};
+ end
+
+ % OK start processing ............................................
+
+ energy = zeros(1,frames/decimate);
+ for f=1:decimate:frames
+ L = model(f,2);
+ energy(f) = 10*log10(sum( model(f,3:(L+2)) .^ 2 ));
+ end
+
+ rate_K_surface = resample_const_rate_f(model, rate_K_sample_freqs_kHz, Fs);
+
+ % decimate and predict
+
+ rate_K_surface_pred = zeros(frames2, K);
+ beta = 0.9;
+ g = 1;
+ for f=3:decimate:frames
+ rate_K_surface_pred(g,:) = rate_K_surface(f,:) - beta*rate_K_surface(f-2,:);
+ g++;
+ end
+
+ rate_K_surface_ = zeros(frames,K);
+ rate_K_surface_(1,:) = rate_K_surface(1,:);
+ g = 1;
+
+ % optional vector quantise
+
+ if nvq
+
+ % note we init with target (ideal) to fill in values not covered by this VQ
+
+ rate_K_surface_pred_ = rate_K_surface_pred;
+ res = zeros(frames2, K); ind = zeros(frames2, nvq);
+
+ % quantise using split VQs
+
+ for i=1:nvq
+ avq_filename = char(cellstr(vq_filename)(i));
+ x = load(avq_filename); vq = x.vq; [vq_rows vq_cols] = size(vq);
+ vq_st = vq_start(i); vq_en = vq_st + vq_cols - 1;
+ printf("split VQ: %d vq_filename: %s vq_st: %d vq_en: %d nVec: %d\n", i, avq_filename, vq_st, vq_en, vq_rows);
+
+ for f=3:decimate:frames
+ rate_K_vec_pred = rate_K_surface(f,:) - beta*rate_K_surface_(f-2,:);
+
+ if strcmp(vq_search, "mg")
+ [idx contrib errors b_log] = vq_search_mg(vq, rate_K_vec_pred(vq_st:vq_en));
+ end
+
+ rate_K_vec_pred_ = rate_K_vec_pred;
+ rate_K_vec_pred_(vq_st:vq_en) = contrib;
+ rate_K_surface_(f,:) = beta*rate_K_surface_(f-2,:) + rate_K_vec_pred_;
+
+ res(:, vq_st:vq_en) = rate_K_surface_pred(:, vq_st:vq_en) - contrib;
+ ind(:,i) = idx;
+ end
+
+ % histograms of higher order gain/shape params if we are in slope mode
+
+ sd_per_frame = std(res(:,vq_st:vq_en)');
+ t=sprintf("VQ %d", i);
+ figure(fg++); subplot(211); plot(energy); title(t); subplot(212); plot(sd_per_frame);
+ figure(fg++); subplot(211); hist(sd_per_frame); title(t); subplot(212); hist(ind(:,i),100);
+ printf("VQ rms SD: %3.2f\n", mean(sd_per_frame));
+ end
+
+ figure(fg++); clf; mesh(res);
+
+ else
+ rate_K_surface_pred_ = rate_K_surface_pred;
+ for f=3:decimate:frames
+ rate_K_surface_(f,:) = beta*rate_K_surface_(f-2,:) + rate_K_surface_pred_(g,:);
+ g++;
+ end
+ end
+
+ % re-interpolate back to 10ms rate
+
+ if decimate
+ for f=1:frames
+
+ % determine frames that bracket the one we need to interp
+
+ left_f = decimate*floor((f-1)/decimate)+1;
+ right_f = left_f + decimate;
+ if right_f > frames
+ right_f = left_f;
+ end
+
+ % determine fraction of each frame to use
+
+ left_fraction = 1 - mod((f-1),decimate)/decimate;
+ right_fraction = 1 - left_fraction;
+
+ rate_K_surface_(f,:) = left_fraction*rate_K_surface_(left_f,:) + right_fraction*rate_K_surface_(right_f,:);
+ %printf("f: %d left_f: %d right_f: %d left_fraction: %3.2f right_fraction: %3.2f \n", f, left_f, right_f, left_fraction, right_fraction)
+ end
+ end
+
+ [model_ AmdB_] = resample_rate_L(model, rate_K_surface_, rate_K_sample_freqs_kHz, Fs);
+
+ % Measure distortion between AmdB and AmdB_, ths includes distortion
+ % in the rate K <-> L transition. Can optionally plot distorted
+ % frames
+
+ plot_sd_thresh = 5;
+ sd = zeros(1,frames2); g = 1;
+ for f=1:decimate:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ AmdB = 20*log10(model(f,3:(L+2)));
+ sd(g) = std(AmdB(1:L) - AmdB_(f,1:L));
+ if (sd(g) > plot_sd_thresh) && (fg < 10)
+ printf("fg: %d f: %d\n", fg, f);
+ figure(fg++); clf; plot((1:L)*Wo*4/pi, AmdB(1:L),'b+-'); hold on; plot((1:L)*Wo*4/pi, AmdB_(f,1:L),'r+-');
+ plot(rate_K_sample_freqs_kHz, rate_K_surface_(f,:), 'c+-'); hold off;
+ end
+ g++;
+ end
+ printf("rate K resampling SD: %3.2f\n", mean(sd));
+ figure(fg++); clf; subplot(211); plot(energy); subplot(212); plot(sd); title('sdL');
+ figure(fg++); clf; hist(sd);
+
+endfunction
+
+
+function model_ = experiment_dct(model)
+
+ [frames tmp] = size(model); max_amp = 160;
+
+ for f=1:frames
+ printf("%d ", f);
+ Wo = model(f,1);
+ L = min([model(f,2) max_amp-1]);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+
+ % fit model
+
+ D = dct(AmdB);
+ E = zeros(1,L);
+ E(1:min(20,L)) = D(1:min(20,L));
+ AmdB_ = idct(D);
+
+ model_(f,1) = Wo; model_(f,2) = L; model_(f,3:(L+2)) = 10 .^ (AmdB_(1:L)/20);
+ end
+
+endfunction
+
+
+% -----------------------------------------------------------------------------------------
+% Linear decimator/interpolator that operates at rate K, includes VQ, post filter, and Wo/E
+% quantisation. Evolved from abys decimator below. Simulates the entire encoder/decoder.
+
+function [model_ voicing_ indexes] = experiment_rate_K_dec(model, voicing)
+ max_amp = 80;
+ [frames nc] = size(model);
+ model_ = zeros(frames, max_amp+3);
+ indexes = zeros(frames,4);
+
+ M = 4;
+
+ % create frames x K surface. TODO make all of this operate frame by
+ % frame, or at least M/2=4 frames rather than one big chunk
+
+ K = 20;
+ [surface sample_freqs_kHz] = resample_const_rate_f_mel(model, K);
+ target_surface = surface;
+
+ figure(1);
+ mesh(surface);
+
+ % VQ rate K surface. TODO: If we are decimating by M/2=4 we really
+ % only need to do this every 4th frame.
+
+ melvq;
+ load train_120_vq; m=5;
+
+ for f=1:frames
+ mean_f(f) = mean(surface(f,:));
+ surface_no_mean(f,:) = surface(f,:) - mean_f(f);
+ end
+ figure(2);
+ mesh(surface_no_mean);
+
+ [res surface_no_mean_ ind] = mbest(train_120_vq, surface_no_mean, m);
+ indexes(:,1:2) = ind;
+
+ for f=1:frames
+ surface_no_mean_(f,:) = post_filter(surface_no_mean_(f,:), sample_freqs_kHz, 1.5);
+ end
+ figure(3);
+ mesh(surface_no_mean_);
+
+ surface_ = zeros(frames, K);
+ energy_q = create_energy_q;
+ for f=1:frames
+ [mean_f_ indx] = quantise(energy_q, mean_f(f));
+ indexes(f,3) = indx - 1;
+ %mean_f_ = mean_f(f);
+ surface_(f,:) = surface_no_mean_(f,:) + mean_f_;
+ end
+
+ figure();
+ mesh(surface_);
+
+ % break into segments of M frames. We have 3 samples in M frame
+ % segment spaced M/2 apart and interpolate the rest. This evolved
+ % from AbyS scheme below but could be simplified to simple linear
+ % interpolation, or using 3 or 4 points but shift of M/2=4 frames.
+
+ interpolated_surface_ = zeros(frames, K);
+ for f=1:M:frames-M
+ left_vec = surface_(f,:);
+ right_vec = surface_(f+M,:);
+ sample_points = [f f+M];
+ resample_points = f:f+M-1;
+ for k=1:K
+ interpolated_surface_(resample_points,k) = interp_linear(sample_points, [left_vec(k) right_vec(k)], resample_points);
+ end
+ end
+
+ % break into segments for purposes of Wo interpolation
+
+ for f=1:M:frames
+ % quantise Wo
+
+ % UV/V flag is coded using a zero index for Wo, this means we need to
+ % adjust Wo index slightly for the lowest Wo V frames
+
+ if voicing(f)
+ index = encode_log_Wo(model(f,1), 6);
+ if index == 0
+ index = 1;
+ end
+ indexes(f,4) = index;
+ model_(f,1) = decode_log_Wo(indexes(f,4), 6);
+ else
+ indexes(f,4) = 0;
+ model_(f,1) = 2*pi/100;
+ end
+ end
+
+
+ voicing_ = zeros(1, frames);
+ for f=1:M:frames-M
+
+ Wo1_ = model_(f,1);
+ Wo2_ = model_(f+M,1);
+
+ % uncomment to use unquantised values
+ %Wo1_ = model(f,1);
+ %Wo2_ = model(f+M,1);
+
+ if !voicing(f) && !voicing(f+M)
+ model_(f:f+M-1,1) = 2*pi/100;
+ end
+
+ if voicing(f) && !voicing(f+M)
+ model_(f:f+M/2-1,1) = Wo1_;
+ model_(f+M/2:f+M-1,1) = 2*pi/100;
+ voicing_(f:f+M/2-1) = 1;
+ end
+
+ if !voicing(f) && voicing(f+M)
+ model_(f:f+M/2-1,1) = 2*pi/100;
+ model_(f+M/2:f+M-1,1) = Wo2_;
+ voicing_(f+M/2:f+M-1) = 1;
+ end
+
+ if voicing(f) && voicing(f+M)
+ Wo_samples = [Wo1_ Wo2_];
+ model_(f:f+M-1,1) = interp1([f f+M], Wo_samples, f:f+M-1, "linear", 0);
+ voicing_(f:f+M-1) = 1;
+ end
+
+ #{
+ printf("f: %d f+M/2: %d Wo: %f %f (%f %%) v: %d %d \n", f, f+M/2, model(f,1), model(f+M/2,1), 100*abs(model(f,1) - model(f+M/2,1))/model(f,1), voicing(f), voicing(f+M/2));
+ for i=f:f+M/2-1
+ printf(" f: %d v: %d v_: %d Wo: %f Wo_: %f\n", i, voicing(i), voicing_(i), model(i,1), model_(i,1));
+ end
+ #}
+ end
+ model_(frames-M:frames,1) = pi/100; % set end frames to something sensible
+
+ % enable these to use original (non interpolated) voicing and Wo
+ %voicing_ = voicing;
+ %model_(:,1) = model(:,1);
+
+ model_(:,2) = floor(pi ./ model_(:,1)); % calculate L for each interpolated Wo
+ model_ = resample_rate_L(model_, interpolated_surface_, sample_freqs_kHz);
+
+endfunction
+
+
+% ---------------------------------------------------------------------------------------
+% Stand alone decoder that takes indexes and creates model_, models
+% decoder and an important step in proving everything works
+
+function [model_ voicing_] = model_from_indexes(indexes)
+ max_amp = 80; K = 20; M = 4;
+
+ [frames nc] = size(indexes);
+ model = model_ = zeros(frames, max_amp+3);
+ sample_freqs_kHz = mel_sample_freqs_kHz(K);
+ energy_q = 10 + 40/16*(0:15);
+
+ melvq;
+ load train_120_vq;
+
+ % decode vector quantised surface
+
+ surface_no_mean_ = zeros(frames,K);
+ surface_ = zeros(frames, K);
+ for f=1:M:frames
+ surface_no_mean_(f,:) = train_120_vq(indexes(f,1),:,1) + train_120_vq(indexes(f,2),:,2);
+ surface_no_mean_(f,:) = post_filter(surface_no_mean_(f,:), sample_freqs_kHz, 1.5);
+ mean_f_ = energy_q(indexes(f,3)+1);
+ surface_(f,:) = surface_no_mean_(f,:) + mean_f_;
+ end
+
+ % break into segments of M frames. We have 2 samples spaced M apart
+ % and interpolate the rest.
+
+ interpolated_surface_ = zeros(frames, K);
+ for f=1:M:frames-M
+ left_vec = surface_(f,:);
+ right_vec = surface_(f+M,:);
+ sample_points = [f f+M];
+ resample_points = f:f+M-1;
+ for k=1:K
+ interpolated_surface_(resample_points,k) = interp_linear(sample_points, [left_vec(k) right_vec(k)], resample_points);
+ end
+ end
+
+ % recover Wo and voicing
+
+ voicing = zeros(1, frames);
+ for f=1:M:frames
+ if indexes(f,4) == 0
+ voicing(f) = 0;
+ model(f,1) = 2*pi/100;
+ else
+ voicing(f) = 1;
+ model(f,1) = decode_log_Wo(indexes(f,4), 6);
+ end
+ end
+
+ % break into M segments for purposes of Wo interpolation
+
+ voicing_ = zeros(1, frames);
+ for f=1:M:frames-M
+
+ Wo1_ = model(f,1);
+ Wo2_ = model(f+M,1);
+
+ if !voicing(f) && !voicing(f+M)
+ model_(f:f+M-1,1) = 2*pi/100;
+ end
+
+ if voicing(f) && !voicing(f+M)
+ model_(f:f+M/2-1,1) = Wo1_;
+ model_(f+M/2:f+M-1,1) = 2*pi/100;
+ voicing_(f:f+M/2-1) = 1;
+ end
+
+ if !voicing(f) && voicing(f+M)
+ model_(f:f+M/2-1,1) = 2*pi/100;
+ model_(f+M/2:f+M-1,1) = Wo2_;
+ voicing_(f+M/2:f+M-1) = 1;
+ end
+
+ if voicing(f) && voicing(f+M)
+ Wo_samples = [Wo1_ Wo2_];
+ model_(f:f+M-1,1) = interp_linear([f f+M], Wo_samples, f:f+M-1);
+ voicing_(f:f+M-1) = 1;
+ end
+
+ #{
+ printf("f: %d f+M/2: %d Wo: %f %f (%f %%) v: %d %d \n", f, f+M/2, model(f,1), model(f+M/2,1), 100*abs(model(f,1) - model(f+M/2,1))/model(f,1), voicing(f), voicing(f+M/2));
+ for i=f:f+M/2-1
+ printf(" f: %d v: %d v_: %d Wo: %f Wo_: %f\n", i, voicing(i), voicing_(i), model(i,1), model_(i,1));
+ end
+ #}
+ end
+ model_(frames-M:frames,1) = pi/100; % set end frames to something sensible
+
+ % enable these to use original (non interpolated) voicing and Wo
+ %voicing_ = voicing;
+ %model_(:,1) = model(:,1);
+
+ model_(:,2) = floor(pi ./ model_(:,1)); % calculate L for each interpolated Wo
+ model_ = resample_rate_L(model_, interpolated_surface_, sample_freqs_kHz);
+
+endfunction
+
+
+% ---------------------------------------------------------------------------------------
+% Stand alone decoder that takes indexes and creates model_, just like
+% model_from_indexes above. This version is refactored to perform frame by frame
+% processing, as a stepping stone to C.
+
+function [model_ voicing_] = model_from_indexes_fbf(indexes)
+ max_amp = 80; K = 20; M = 4;
+
+ [frames nc] = size(indexes);
+ model = model_ = zeros(frames, max_amp+3);
+ sample_freqs_kHz = mel_sample_freqs_kHz(K);
+ energy_q = 10 + 40/16*(0:15);
+
+ melvq;
+ load train_120_vq;
+
+ surface_no_mean_ = zeros(frames,K);
+ surface_ = zeros(frames, K);
+ interpolated_surface_ = zeros(frames, K);
+ voicing = zeros(1, frames);
+ voicing_ = zeros(1, frames);
+
+ for f=1:M:frames
+ % decode vector quantised surface
+
+ surface_no_mean_(f,:) = train_120_vq(indexes(f,1),:,1) + train_120_vq(indexes(f,2),:,2);
+ surface_no_mean_(f,:) = post_filter(surface_no_mean_(f,:), sample_freqs_kHz, 1.5);
+ mean_f_ = energy_q(indexes(f,3)+1);
+ surface_(f,:) = surface_no_mean_(f,:) + mean_f_;
+
+ % break into segments of M frames. We have 2 samples spaced M apart
+ % and interpolate the rest.
+
+ if f > M
+ left_vec = surface_(f-M,:);
+ right_vec = surface_(f,:);
+ sample_points = [f-M f];
+ resample_points = f-M:f-1;
+ for k=1:K
+ interpolated_surface_(resample_points,k) = interp_linear(sample_points, [left_vec(k) right_vec(k)], resample_points);
+ end
+ end
+
+ % recover Wo and voicing
+
+ if indexes(f,4) == 0
+ voicing(f) = 0;
+ model(f,1) = 2*pi/100;
+ else
+ voicing(f) = 1;
+ model(f,1) = decode_log_Wo(indexes(f,4), 6);
+ end
+
+ if f > M
+ Wo1 = model(f-M,1);
+ Wo2 = model(f,1);
+
+ [Wo_ avoicing_] = interp_Wo_v(Wo1, Wo2, voicing(f-M), voicing(f));
+ model_(f-M:f-1,1) = Wo_;
+ voicing_(f-M:f-1) = avoicing_;
+ model_(f-M:f-1,2) = floor(pi ./ model_(f-M:f-1,1)); % calculate L for each interpolated Wo
+ end
+
+ end
+
+ model_(frames-M:frames,1) = pi/100; % set end frames to something sensible
+ model_(frames-M:frames,2) = floor(pi ./ model_(frames-M:frames,1));
+
+ model_ = resample_rate_L(model_, interpolated_surface_, sample_freqs_kHz);
+
+endfunction
+
+
+
+% ---------------------------------------------------------------------------------------
+% Various experiments tried during development
+
+% rate K mel-resampling, high end correction, and DCT experiment workhorse
+
+function [model_ rate_K_surface] = experiment_rate_K_dct2(model, vq_en=0, plots=1, voicing)
+ [frames nc] = size(model);
+ K = 20; Fs = 8000; correct_rate_K_en = 1;
+
+ %quantisers = load("dct2quant.txt");
+ %nlevels = load("dct2quantnlevels.txt");
+ %map = load("dct2map.txt");
+
+ for f=1:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+ Am_freqs_kHz = (1:L)*Wo*4/pi;
+ [rate_K_vec rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model(f,:), K);
+ if correct_rate_K_en
+ [tmp_ AmdB_] = resample_rate_L(model(f,:), rate_K_vec, rate_K_sample_freqs_kHz);
+ [rate_K_vec_corrected orig_error error nasty_error_log nasty_error_m_log] = correct_rate_K_vec(rate_K_vec, rate_K_sample_freqs_kHz, AmdB, AmdB_, K, Wo, L, Fs);
+ rate_K_surface(f,:) = rate_K_vec_corrected;
+ else
+ rate_K_surface(f,:) = rate_K_vec;
+ end
+ end
+
+ % break into 160ms blocks, 2D DCT, truncate, IDCT
+
+ Tf = 0.01; % frame period in seconds
+ Nt = 16; % number of 10ms frames blocks in time
+ dec = 2; % decimation factor
+ dist_dB = 2; % use enough coefficients to get this distortion ond DCT coeffs
+
+ Nblocks = floor(frames/(Nt*dec));
+ printf("frames: %d Nblocks: %d\n", frames, Nblocks);
+
+ unwrapped_dcts = zeros(Nblocks,Nt*K);
+ rate_K_surface_ = zeros(frames, K);
+
+ % create map on the fly from train database
+
+ asurf = load("all_surf.txt"); [nr nc] = size(asurf);
+ asurf = asurf(1:dec:nr,:);
+ [map rms_map mx mx_ind unwrapped_dcts] = create_map_rms(asurf, Nt, K);
+ %map = create_zigzag_map(Nt,K);
+
+ %printf("non zero coeffs: %d\n", sum(sum(map == 1)));
+ figure(2); clf;
+ mesh(map);
+ sumnz = zeros(1,Nblocks);
+ dct2_sd = zeros(1,Nblocks);
+
+ % create quantiser_num to r,c Luts
+
+ rmap = cmap = zeros(1,Nt*K);
+ for r=1:Nt
+ for c=1:K
+ quantiser_num = map(r,c);
+ rmap(quantiser_num) = r;
+ cmap(quantiser_num) = c;
+ end
+ end
+
+ for n=1:Nblocks
+ st = (n-1)*dec*Nt+1; en = st + dec*Nt - 1;
+ %printf("st: %d en: %d\n", st, en);
+ D = dct2(rate_K_surface(st:dec:en,:));
+
+ % move over surface and work out quantiser
+ % quantise, replace on map
+
+ E = mapped = zeros(Nt,K);
+ #{
+ for r=1:Nt
+ for c=1:K
+ quantiser_num = map(r,c);
+ if quantiser_num <= 40
+ %printf("r %d c %d quantiser_num %d nlevels %d ", r, c, quantiser_num, nlevels(quantiser_num));
+ %levels = quantisers(quantiser_num, 1:nlevels(quantiser_num));
+ %quant_out = quantise(levels, D(r,c));
+ E(r,c) = D(r,c);
+ if E(r,c)
+ mapped(r,c) = 1;
+ sumnz(n)++;
+ end
+ end
+ end
+ end
+ #}
+
+ qn = 0;
+ adct2_sd = mean(std(D-E));
+ while adct2_sd > dist_dB
+ qn++;
+ E(rmap(qn), cmap(qn)) = 1*round(D(rmap(qn), cmap(qn))/1);
+ adct2_sd = mean(std(D-E));
+ %printf("qn %d %f\n", qn, adct2_sd);
+ end
+ sumnz(n) = qn;
+
+ % note neat trick to interpolate to 10ms frames despite dec
+
+ #{
+ energy = sum(sum(E));
+ Edc = E(1,1);
+ E = E*1.2;
+ E(1,1) = Edc/1.2;
+ #}
+ %E *= energy/sum(sum(E));
+ rate_K_surface_(st:en,:) = idct2([sqrt(dec)*E; zeros(Nt*(dec-1), K)]);
+
+ dct2_sd(n) = mean(std(D-E));
+ end
+
+ % figure(3); clf; mesh(mapped);
+ figure(4); clf; plot(sumnz); hold on; plot([1 length(sumnz)],[mean(sumnz) mean(sumnz)]); hold off; title('Non Zero');
+ figure(5); clf; plot(dct2_sd); title('DCT SD');
+ printf("average dct spectral distortion: %3.2f dB\n", mean(dct2_sd));
+ printf("mean number of coeffs/DCT: %3.2f/%d\n", mean(sumnz), Nt*K);
+ printf("coeffs/second: %3.2f\n", mean(sumnz)/(Nt*Tf*dec));
+ printf("bits/s: %3.2f\n", 2.9*mean(sumnz)/(Nt*Tf*dec));
+
+ % optional 700C style post filter
+
+ post_filter_en = 0;
+ if post_filter_en
+ for f=1:Nt*Nblocks
+ mn = mean(rate_K_surface_(f,:));
+ rate_K_surface_no_mean_(f,:) = rate_K_surface_(f,:) - mn;
+ rate_K_surface_(f,:) = mn + post_filter(rate_K_surface_no_mean_(f,:), rate_K_sample_freqs_kHz);
+ end
+ end
+
+ % prevent /0 errors at end of run
+
+ rate_K_surface_(dec*Nt*Nblocks+1:frames,:) = rate_K_surface(dec*Nt*Nblocks+1:frames,:);
+ model_ = resample_rate_L(model, rate_K_surface_, rate_K_sample_freqs_kHz);
+
+ dist = std((rate_K_surface_(1:dec:frames,:) - rate_K_surface(1:dec:frames,:))');
+ figure(1); clf; plot(dist); title('Rate K SD');
+ printf("Rate K spectral distortion mean: %3.2f dB var: %3.2f\n", mean(dist), var(dist));
+endfunction
+
+
+% Basic unquantised rate K mel-sampling then back to rate L. Now with "high end correction"
+
+function [model_ rate_K_surface sd_log] = experiment_mel_freq(model, vq_en=0, plots=1, voicing)
+ [frames nc] = size(model);
+ K = 20; Fs = 8000; correct_rate_K_en = 0;
+ AmdB = zeros(frames, 160);
+
+ for f=1:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ AmdB(f,1:L) = 20*log10(Am);
+ Am_freqs_kHz = (1:L)*Wo*Fs/(2000*pi);
+ [rate_K_vec rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model(f,:), K, Fs, 'lanc');
+ if correct_rate_K_en
+ [tmp_ AmdB_] = resample_rate_L(model(f,:), rate_K_vec, rate_K_sample_freqs_kHz, Fs);
+ [rate_K_vec_corrected orig_error error nasty_error_log nasty_error_m_log] = correct_rate_K_vec(rate_K_vec, rate_K_sample_freqs_kHz, AmdB, AmdB_, K, Wo, L, Fs);
+ rate_K_surface(f,:) = rate_K_vec_corrected;
+ else
+ rate_K_surface(f,:) = rate_K_vec;
+ end
+ end
+
+ if plots
+ mesh(rate_K_surface);
+ end
+
+ [model_ AmdB_ ] = resample_rate_L(model, rate_K_surface, rate_K_sample_freqs_kHz, Fs, 'lancmel');
+
+ % calculate SD
+
+ sd_log = [];
+ for f=1:frames
+ L = model(f,2);
+ asd = std(AmdB(f,1:L) - AmdB_(f,1:L));
+
+ % this code useful to explore outliers, adjust threshold based on plo(sd_log) below
+ plot_outliers = 0;
+ if plot_outliers && (asd > 7)
+ figure; plot(AmdB(f,1:L), 'b+-'); hold on; plot(AmdB_(f,1:L), 'r+-'); hold off;
+ end
+ sd_log = [sd_log asd];
+ end
+
+ if plots
+ figure; plot(sd_log); title('SD againstframe');
+ figure; plot(hist(sd_log));
+ end
+ printf("mean SD %4.2f\n", mean(sd_log));
+endfunction
+
+
+
+% mel spaced sampling, differential in time VQ. Curiously, couldn't
+% get very good results out of this, I suspect a bug
+
+function [model_ rate_K_surface_diff] = experiment_mel_diff_freq(model, vq_en=0)
+ [frames nc] = size(model);
+ K = 20;
+ [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model, K);
+
+ if vq_en
+ melvq;
+ load surface_diff_vq; m=5;
+ end
+
+ for f=1:frames
+ mean_f(f,:) = mean(rate_K_surface(f,:));
+ rate_K_surface_no_mean(f,:) = rate_K_surface(f,:) - mean_f(f,:);
+ end
+
+ rate_K_surface_no_mean_ = zeros(frames, K);
+ rate_K_surface_no_mean_diff = zeros(frames, K);
+ rate_K_surface_(1,:) = rate_K_surface_diff(1,:) = zeros(1, K);
+
+ for f=2:frames
+ rate_K_surface_diff(f,:) = rate_K_surface_no_mean(f,:) - 0.8*rate_K_surface_no_mean_(f-1,:);
+ if vq_en
+ [res arate_K_surface_diff_ ind] = mbest(surface_diff_vq, rate_K_surface_diff(f,:), m);
+ rate_K_surface_diff_(f,:) = arate_K_surface_diff_;
+ else
+ rate_K_surface_diff_(f,:) = rate_K_surface_diff(f,:);
+ end
+ rate_K_surface_no_mean_(f,:) = 0.8*rate_K_surface_no_mean_(f-1,:) + rate_K_surface_diff_(f,:);
+ end
+
+ for f=1:frames
+ rate_K_surface_(f,:) = rate_K_surface_no_mean_(f,:) + mean_f(f,:);
+ end
+
+ model_ = resample_rate_L(model, rate_K_surface_, rate_K_sample_freqs_kHz);
+
+endfunction
+
+
+% try vq with open and closed loop mean removal, turns out they give
+% identical results lol
+
+function [model_ rate_K_surface] = experiment_closed_loop_mean(model)
+ [frames nc] = size(model);
+ K = 15;
+ mel_start = ftomel(300); mel_end = ftomel(3000);
+ step = (mel_end-mel_start)/(K-1);
+ mel = mel_start:step:mel_end;
+ rate_K_sample_freqs_Hz = 700*((10 .^ (mel/2595)) - 1);
+ rate_K_sample_freqs_kHz = rate_K_sample_freqs_Hz/1000;
+
+ rate_K_surface = resample_const_rate_f(model, rate_K_sample_freqs_kHz);
+
+ load surface_vq; m=1;
+
+ for f=1:frames
+ amean = mean(rate_K_surface(f,:));
+ rate_K_target_no_mean = rate_K_surface(f,:) - amean;
+ mse_open_loop(f) = search_vq2(surface_vq(:,:,1), rate_K_target_no_mean, m, 0);
+ mse_closed_loop(f) = search_vq2(surface_vq(:,:,1), rate_K_surface(f,:), m, 1);
+ end
+
+ printf("rms open loop..: %f\nrms closed loop: %f\n", sqrt(mean(mse_open_loop)), sqrt(mean(mse_closed_loop)));
+
+ % just return model_ as we have to so nothing breaks, it's not actually useful
+
+ model_ = resample_rate_L(model, rate_K_surface, rate_K_sample_freqs_kHz);
+
+endfunction
+
+
+% Experiment with 10ms update rate for energy but 40ms update for spectrum,
+% using linear interpolation for spectrum.
+
+function model_c = experiment_energy_rate_linear(model, vq_en, plot_en)
+ max_amp = 80;
+ [frames nc] = size(model);
+
+ % 10ms mel freq modelling and VQ
+
+ model_ = experiment_mel_freq(model, vq_en, plot_en);
+
+ % Remove energy. Hmmmm, this is done on Ams rather than surface but that's
+ % similar I guess
+
+ e = zeros(1,frames);
+ model_a = zeros(frames,max_amp+3);
+ for f=1:frames
+ L = min([model_(f,2) max_amp-1]);
+ Am_ = model_(f,3:(L+2));
+ AmdB_ = 20*log10(Am_);
+ mean_f(f) = mean(AmdB_);
+ AmdB_ -= mean_f(f);
+ model_a(f,1) = model_(f,1); model_a(f,2) = L; model_a(f,3:(L+2)) = 10 .^ (AmdB_(1:L)/20);
+ end
+
+ % linear interp after removing energy (mean AmdB)
+
+ model_b = experiment_dec_linear(model_a);
+
+ % add back in energy
+
+ model_c = zeros(frames,max_amp+3);
+ for f=1:frames
+ L = min([model_b(f,2) max_amp-1]);
+ Am_ = model_b(f,3:(L+2));
+ AmdB_ = 20*log10(Am_);
+ AmdB_ += mean_f(f);
+ model_c(f,1) = model_b(f,1); model_c(f,2) = L; model_c(f,3:(L+2)) = 10 .^ (AmdB_(1:L)/20);
+ end
+
+endfunction
+
+
+% conventional decimation in time without any filtering, then linear
+% interpolation. Linear interpolation is a two-tap (weak) form of fir
+% filtering that may have problems with signals with high freq
+% components, for example after quantisation noise is added. Need to
+% look into this some more.
+
+function model_ = experiment_dec_linear(model)
+ newamp;
+ max_amp = 80;
+
+ [frames nc] = size(model);
+ model_ = zeros(frames, max_amp+3);
+ decimate = 4;
+ for f=1:frames
+ AmdB_ = decimate_frame_rate(model, decimate, f, frames);
+ L = length(AmdB_);
+ model_(f,1) = model(f,1); model_(f,2) = L; model_(f,3:(L+2)) = 10 .^ (AmdB_(1:L)/20);
+ end
+endfunction
+
+
+
+% Experimental AbyS decimator that chooses best frames to match
+% surface based on AbyS approach. Can apply post filter at different
+% points, and optionally do fixed decimation, at rate K. Didn't
+% produce anything spectacular in AbyS mode, suggest another look with
+% some sort of fbf display to see what's going on internally.
+
+function model_ = experiment_dec_abys(model, M=8, vq_en=0, pf_en=1, fixed_dec=0, voicing)
+ max_amp = 80;
+ [frames nc] = size(model);
+ model_ = zeros(frames, max_amp+3);
+
+ printf("M: %d vq_en: %d pf_en: %d fixed_dec: %d\n", M, vq_en, pf_en, fixed_dec)
+
+ % create frames x K surface
+
+ K = 20;
+ [surface sample_freqs_kHz] = resample_const_rate_f_mel(model, K);
+ target_surface = surface;
+
+ % optionaly VQ surface
+
+ if vq_en
+ melvq;
+ load train_120_vq; m=5;
+
+ for f=1:frames
+ mean_f(f) = mean(surface(f,:));
+ rate_K_surface_no_mean(f,:) = surface(f,:) - mean_f(f);
+ end
+
+ [res rate_K_surface_ ind] = mbest(train_120_vq, rate_K_surface_no_mean, m);
+
+ if pf_en == 1
+ for f=1:frames
+ rate_K_surface_(f,:) = post_filter(rate_K_surface_(f,:), sample_freqs_kHz, 1.5, voicing(f));
+ end
+ end
+
+ for f=1:frames
+ rate_K_surface_(f,:) += mean_f(f);
+ end
+
+ surface = rate_K_surface_;
+ end
+
+ % break into segments of M frames. Fix end points, that two of the
+ % frames we sample. Then find best choice in between
+
+ surface_ = zeros(frames, K);
+ best_surface_ = zeros(frames, K);
+
+ for f=1:M:frames-M
+
+ left_vec = surface(f,:);
+ right_vec = surface(f+M,:);
+ resample_points = f:f+M-1;
+ best_mse = 1E32;
+ best_m = f+1;
+
+
+ if fixed_dec
+ m = f+M/2;
+ printf("%d %d %d\n", f, m, M+f);
+ centre_vec = surface(m,:);
+ sample_points = [f m f+M];
+ for k=1:K
+ best_surface_(resample_points,k) = interp1(sample_points, [left_vec(k) centre_vec(k) right_vec(k)], resample_points, "spline", 0);
+ end
+ else
+ printf("%d %d\n", f, M+f);
+ for m=f+1:M+f-2
+
+ % Use interpolation to construct candidate surface_ segment
+ % using just threee samples
+
+ centre_vec = surface(m,:);
+ sample_points = [f m f+M];
+ mse = 0;
+ for k=1:K
+ surface_(resample_points,k) = interp1(sample_points, [left_vec(k) centre_vec(k) right_vec(k)], resample_points, "spline", 0);
+ mse += sum((target_surface(resample_points,k) - surface_(resample_points,k)).^2);
+ end
+
+ % compare synthesised candidate to orginal and chose min ased on MSE
+
+ if mse < best_mse
+ best_mse = mse;
+ best_m = m;
+ best_surface_(resample_points,:) = surface_(resample_points,:);
+ end
+
+ printf(" m: %d mse: %f best_mse: %f best_m: %d\n", m, mse, best_mse, best_m);
+ end
+ end
+ end
+
+ if pf_en == 2
+
+ % Optionally apply pf after interpolation, theory is interpolation
+ % smooths spectrum in time so post filtering afterwards may be
+ % useful. Note we remove mean, this tends to move formats up and
+ % anti-formants down when we multiply by a constant
+
+ for f=1:frames
+ mean_f = mean(best_surface_(f,:));
+ rate_K_vec_no_mean = best_surface_(f,:) - mean_f;
+ rate_K_vec_no_mean *= 1.2;
+ best_surface_(f,:) = rate_K_vec_no_mean + mean_f;
+ end
+ end
+
+ model_ = resample_rate_L(model, best_surface_, sample_freqs_kHz);
+ figure(5);
+ plot(mean_f,'+-')
+ figure(6)
+ hist(mean_f)
+endfunction
+
+
+#{
+ Filtering time axis or surface, as a first step before decimation.
+ So given surface, lets look at spectral content and see if we can
+ reduce it while maintaining speech quality. First step is to dft
+ across time and plot.
+
+ This just has one filtering step, which may help quantisation. In practice
+ we may need filtering before decimation and at the inerpolation stage
+#}
+
+function model_ = experiment_filter(model)
+ [frames nc] = size(model);
+ K = 40; rate_K_sample_freqs_kHz = (1:K)*4/K;
+ [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f(model, rate_K_sample_freqs_kHz);
+
+ Nf = 4; Nf2 = 6;
+ [b a]= cheby1(4, 1, 0.20);
+ %Nf = 20; Nf2 = 10;
+ %b = fir1(Nf, 0.25); a = [1 zeros(1, Nf)];
+ %Nf = 1; Nf2 = 1;
+ %b = 1; a = [1 zeros(1, Nf)];
+
+ %Nf = 2; Nf2 = 1;
+ %beta = 0.99; w = pi/4;
+ %b = [1 -2*beta*cos(w) beta*beta]; a = [1 zeros(1, Nf)];
+ %Nf = 10; Nf2 = 10;
+ %b = fir2(10, [0 0.2 0.3 1], [1 1 0.1 0.1]); a = [1 zeros(1, Nf)];
+
+ %Nf = 1; Nf2 = 1;
+ dft_surface = zeros(frames,K);
+ rate_K_surface_filt = zeros(frames,K);
+ dft_surface_filt = zeros(frames,K);
+ for k=1:K
+ dft_surface(:,k) = fft(rate_K_surface(:,k).*hanning(frames));
+ %rate_K_surface_filt(:,k) = filter(b, a, rate_K_surface(:,k));
+ rate_K_surface_filt(:,k) = filter(b, a, rate_K_surface(:,k));
+ dft_surface_filt(:,k) = fft(rate_K_surface_filt(:,k).*hanning(frames));
+ end
+ figure(1); clf;
+ mesh(abs(dft_surface))
+ figure(2); clf;
+ mesh(abs(dft_surface_filt))
+
+ Fs = 100; Ts = 1/Fs;
+ figure(3);
+ subplot(211);
+ h = freqz(b,a,Fs/2);
+ plot(1:Fs/2, 20*log10(abs(h)))
+ axis([1 Fs/2 -40 0])
+ ylabel('Gain (dB)')
+ grid;
+ subplot(212)
+ [g w] = grpdelay(b,a);
+ plot(w*Fs/pi, 1000*g*Ts)
+ %axis([1 Fs/2 0 0.5])
+ xlabel('Frequency (Hz)');
+ ylabel('Delay (ms)')
+ grid
+
+ figure(4); clf; stem(filter(b,a,[1 zeros(1,20)]))
+
+ % adjust for time offset due to filtering
+
+ rate_K_surface_filt = [rate_K_surface_filt(Nf2:frames,:); zeros(Nf2, K)];
+
+ % back down to rate L
+
+ model_ = resample_rate_L(model, rate_K_surface_filt, rate_K_sample_freqs_kHz);
+endfunction
+
+
+% filter, decimate, zero insert, filter, simulates decimation and re-interpolation, as
+% an alternative to simple linear interpolation.
+
+function model_ = experiment_filter_dec_filter(model)
+ [frames nc] = size(model);
+
+ % rate K surface
+
+ K = 40; rate_K_sample_freqs_kHz = (1:K)*4/K;
+ [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f(model, rate_K_sample_freqs_kHz);
+
+ % filter, not we run across each of the K bins, treating them as a 1-D sequence
+
+ Nf = 4; filter_delay = 12;
+ [b a]= cheby1(4, 1, 0.20);
+ %Nf = 10; Nf2 = Nf/2; filter_delay = Nf2*2;
+ %b = fir1(Nf, 0.25); a = [1 zeros(1, Nf)];
+ %Nf = 10; Nf2 = 2; filter_delay = 2*Nf2;
+ %b = fir2(10, [0 0.2 0.3 1], [1 1 0.1 0.1]); a = [1 zeros(1, Nf)];
+
+ rate_K_surface_filt = zeros(frames,K);
+ for k=1:K
+ rate_K_surface_filt(:,k) = filter(b, a, rate_K_surface(:,k));
+ end
+
+ % decimate from 100 to 25Hz, and zero pad, which we simulate by
+ % setting all K samples in 3 out of 4 time-samples to zero
+
+ M = 4;
+
+ for f=1:frames
+ if mod(f,M)
+ rate_K_surface_filt(f,:) = zeros(1,K);
+ end
+ end
+
+ % filter to reconstruct 100 Hz frame rate
+
+ rate_K_surface_filt_recon = zeros(frames,K);
+ for k=1:K
+ rate_K_surface_filt_recon(:,k) = filter(b, a, M*rate_K_surface_filt(:,k));
+ end
+
+ figure(1); clf;
+ mesh(rate_K_surface_filt)
+ figure(2); clf;
+ mesh(rate_K_surface_filt_recon)
+
+ % adjust for time offset due to 2 lots of filtering
+
+ rate_K_surface_filt_recon = [rate_K_surface_filt_recon(filter_delay:frames,:); zeros(filter_delay, K)];
+
+ % back down to rate L
+
+ model_ = resample_rate_L(model, rate_K_surface_filt_recon, rate_K_sample_freqs_kHz);
+endfunction
+
+
+% smoothing using masking functions
+
+function model_ = experiment_smoothed(model, bark_model=1)
+ [frames nc] = size(model);
+
+ model_ = model;
+
+ for f=1:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+ [AmdB_ Am_freqs_kHz] = mask_model(AmdB, Wo, L, bark_model);
+ model_(f,3:(L+2)) = 10 .^ ((AmdB_)/20);
+ end
+
+endfunction
+
+#{
+
+ My original idea was to used a 3-4 "resonators" to construct a
+ piecewise model of the spectrum. Kind of got distracted by the
+ surface and mel sampling that ended up working OK. This method was
+ working OK, soem issues with background noise but rather easy to
+ quantise.
+
+ todo: get this working again
+#}
+
+function model_ = experiment_piecewise(model)
+
+ [frames tmp] = size(model); max_amp = 160;
+
+ fvec_log = []; amps_log = [];
+
+ for f=1:frames
+ printf("%d ", f);
+ Wo = model(f,1);
+ L = min([model(f,2) max_amp-1]);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+ e(f) = sum(AmdB)/L;
+
+ % fit model
+
+ [AmdB_ res fvec fvec_ amps] = piecewise_model(AmdB, Wo);
+ fvec_log = [fvec_log; fvec];
+ amps_log = [amps_log; amps];
+
+ model_(f,1) = Wo; model_(f,2) = L; model_(f,3:(L+2)) = 10 .^ (AmdB_(1:L)/20);
+ end
+
+endfunction
+
+
+% early test, devised to test rate K<->L changes along frequency axis
+
+function model_ = resample_half_frame_offset(model, rate_K_surface, rate_K_sample_freqs_kHz)
+ max_amp = 80;
+ [frames col] = size(model);
+
+ % Check distortion by shifting half a frame and returning model for
+ % synthesis Hmm how to handle Wo? Well lets assume it's OK and
+ % average it. If it sounds OK then it must be OK as well and Am
+ % interpolation. If not then will do some more thinking.
+
+ model_ = zeros(frames, max_amp+3);
+ for f=1:frames-1
+ Wo = (model(f,1) + model(f+1,1))/2;
+ L = min(pi/Wo, max_amp-1);
+ rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
+
+ % interpolate at half frame offset
+
+ half = 0.5*rate_K_surface(f,:) + 0.5*rate_K_surface(f+1,:);
+
+ % back down to rate L
+
+ AmdB_ = interp1(rate_K_sample_freqs_kHz, half, rate_L_sample_freqs_kHz, "spline", "extrap");
+
+ % todo a way to save all model params ... Am, Wo, L, (v?) Start with current facility then
+ % make it better
+
+ model_(f,1) = Wo; model_(f,2) = L; model_(f,3:(L+2)) = 10 .^ (AmdB_(1:L)/20);
+ end
+endfunction
+
+
+% vq search with optional closed loop mean estimation, turns out this gives
+% identical results to extracting the mean externally
+
+function [mse_list index_list] = search_vq2(vq, target, m, closed_loop_dc = 0)
+
+ [Nvec order] = size(vq);
+
+ mse = zeros(1, Nvec);
+
+ % find mse for each vector
+
+ for i=1:Nvec
+ if closed_loop_dc
+ sum(target - vq(i,:))
+ g = sum(target - vq(i,:))/order;
+ mse(i) = sum((target - vq(i,:) - g) .^2);
+ else
+ mse(i) = sum((target - vq(i,:)) .^2);
+ end
+ end
+
+ % sort and keep top m matches
+
+ [mse_list index_list ] = sort(mse);
+
+ mse_list = mse_list(1:m);
+ index_list = index_list(1:m);
+
+endfunction
+
+
+% helper function to plot surfaces
+
+function plot_dft_surface(surface)
+ [frames K] = size(surface);
+
+ dft_surface = zeros(frames,K);
+ for k=1:K
+ dft_surface(:,k) = fft(surface(:,k).*hanning(frames));
+ end
+
+ % Set up a meaninful freq axis. We only need real side. Sample rate
+ % (frame rate) Fs=100Hz
+
+ Fs = 100; dF = Fs/frames;
+ mesh(1:K, (1:frames/2)*dF, 20*log10(abs(dft_surface(1:frames/2,:,:))));
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/newamp1_compare.m b/libcodec2-android/src/codec2/octave/newamp1_compare.m
new file mode 100644
index 0000000..eac9ecd
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp1_compare.m
@@ -0,0 +1,56 @@
+% newamp1_compare.m
+%
+% Copyright David Rowe 2016
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Compare model, Wo, and voicing files, used for checking refactoring and C port
+
+
+function newamp1_compare(prefixa, prefixb)
+ autotest;
+
+ frames = 100;
+ a = load_params(prefixa, frames);
+ b = load_params(prefixb, frames);
+
+ check(a.Am, b.Am, 'Am');
+ check(a.Hm, b.Hm, 'Hm');
+ check(a.Wo, b.Wo, 'Wo');
+ check(a.v, b.v, 'v');
+
+ figure(1); clf; plot(a.v); hold on; plot(a.v-b.v,'r'); hold off;
+endfunction
+
+
+function params = load_params(prefix, frames)
+ max_amp = 80;
+ fft_enc = 512;
+
+ Am_out_name = sprintf("%s_am.out", prefix);
+ fam = fopen(Am_out_name,"rb");
+ Wo_out_name = sprintf("%s_Wo.out", prefix);
+ fWo = fopen(Wo_out_name,"rb");
+ Hm_out_name = sprintf("%s_hm.out", prefix);
+ fhm = fopen(Hm_out_name,"rb");
+
+ % load up values from binary files
+
+ params.Am = zeros(frames, max_amp);
+ params.Wo = zeros(frames, 1);
+ params.v = zeros(frames, 1);
+ params.Hm = zeros(frames, max_amp);
+ for f=1:frames
+ params.Am(f,:) = fread(fam, max_amp, "float32");
+ params.Wo(f) = fread(fWo, 1, "float32");
+ params.Hm(f,:) = fread(fhm, max_amp, "float32");
+ end
+
+ fclose(fam); fclose(fWo); fclose(fhm);
+
+ % voicing is a text file
+
+ v_out_name = sprintf("%s_v.txt", prefix);
+ params.v = load(v_out_name);
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/newamp1_fbf.m b/libcodec2-android/src/codec2/octave/newamp1_fbf.m
new file mode 100644
index 0000000..96c0c22
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp1_fbf.m
@@ -0,0 +1,317 @@
+% newamp1_fbf.m
+%
+% Copyright David Rowe 2016
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Interactive Octave script to explore frame by frame operation of new amplitude
+% modelling model.
+%
+% Usage:
+% Make sure codec2-dev is compiled with the -DDUMP option - see README for
+% instructions.
+% ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --dump hts1a
+% $ cd ~/codec2-dev/octave
+% octave:14> newamp1_fbf("../build_linux/src/hts1a",50)
+
+
+function newamp1_fbf(samname, f=73, varargin)
+ more off;
+
+ newamp;
+ melvq;
+
+ Fs = 8000;
+ quant_en = 0; vq_search = "gain";
+ mask_en = 0;
+ nvq = 0; vq_start = [];
+ quant_en = weight_en = 0;
+ mode = "const";
+
+ % specify one of more vqs, start index, vq file name, and search method
+
+ ind = anind = arg_exists(varargin, "vq");
+ while anind
+ nvq++;
+ vq_start = [vq_start varargin{ind+1}];
+ avq_filename = varargin{ind+2};
+ if nvq < 2; vq_filename = avq_filename; else; vq_filename = [vq_filename; avq_filename]; end;
+ avq_search = varargin{ind+3};
+ if nvq < 2; vq_search = avq_search; else; vq_search = [vq_search; avq_search]; end;
+ printf("nvq %d vq_start: %d vq_filename: %s vq_search: %s\n", nvq, vq_start(nvq), avq_filename, avq_search);
+ anind = arg_exists(varargin(ind+1:length(varargin)), "vq");
+ if anind
+ ind += anind;
+ end
+ end
+
+ fit_order = 0;
+
+ ind = arg_exists(varargin, "construct");
+ if ind
+ vq_search = varargin{ind};
+ end
+ ind = arg_exists(varargin, "construct_indep");
+ if ind
+ vq_search = varargin{ind};
+ end
+
+ ind = arg_exists(varargin, "mode");
+ if ind
+ mode = varargin{ind+1};
+ end
+
+ % optional exploration of phase
+
+ ind = arg_exists(varargin, "phase");
+ phase_en = 0;
+ if ind
+ phase_en = 1;
+ end
+
+ if quant_en
+ printf("quant_en: %d vq_filename: %s vq_st: %d vq_en: %d vq_search: %s\n",
+ quant_en, vq_filename, vq_st, vq_en, vq_search);
+ end
+
+ % load up text files dumped from c2sim ---------------------------------------
+
+ sn_name = strcat(samname,"_sn.txt");
+ Sn = load(sn_name);
+ sw_name = strcat(samname,"_sw.txt");
+ Sw = load(sw_name);
+ model_name = strcat(samname,"_model.txt");
+ model = load(model_name);
+ [frames tmp] = size(model);
+
+ if phase_en
+ phase_name = strcat(samname,"_phase.txt");
+ phase = load(phase_name);
+ end
+
+ % Keyboard loop --------------------------------------------------------------
+
+ k = ' ';
+ do
+ fg = 1;
+ s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+ figure(fg++); clf; plot(s); axis([1 length(s) -20000 20000]);
+
+ Wo = model(f,1); L = model(f,2); Am = model(f,3:(L+2)); AmdB = 20*log10(Am);
+ Am_freqs_kHz = (1:L)*Wo*4/pi;
+
+ % remove constant gain term
+
+ if strcmp(mode, 'const')
+ rate_K_sample_freqs_kHz = [0.1:0.1:4]; K = length(rate_K_sample_freqs_kHz);
+ rate_K_vec = resample_const_rate_f(model(f,:), rate_K_sample_freqs_kHz, Fs);
+ end
+ if strcmp(mode, 'mel')
+ K = 20;
+ [rate_K_vec rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model(f,:), K, Fs, 'lanc');
+ end
+ if fit_order == 0
+ slope = 0; meanf = mean(rate_K_vec);
+ rate_K_vec_fit = rate_K_vec - meanf;
+ end
+
+ % plots ----------------------------------
+
+ figure(fg++); clf;
+ l = sprintf(";rate %d AmdB;g+-", L);
+ plot((1:L)*Wo*4000/pi, AmdB, l);
+ axis([1 4000 -20 80]);
+ hold on;
+ stem(rate_K_sample_freqs_kHz*1000, rate_K_vec, ";rate K;b+-");
+
+ % default to the ideal
+
+ rate_K_vec_ = rate_K_vec_fit;
+
+ if mask_en && nvq
+ % experimental masking stuff that I can't seem to get to work
+ maskdB = determine_mask(rate_K_vec, rate_K_sample_freqs_kHz, rate_K_sample_freqs_kHz, bark_model=1);
+ plot(rate_K_sample_freqs_kHz*1000, maskdB, ";mask dB;c+-");
+ end
+
+ if strcmp(vq_search, "construct")
+ [idx contrib errors b] = vq_construct_mg(rate_K_vec);
+ rate_K_vec_ = contrib;
+ end
+
+ if strcmp(vq_search, "construct_indep")
+ [idx contrib errors b] = vq_construct_indep_mg(rate_K_vec);
+ rate_K_vec_ = contrib;
+ end
+
+ if nvq
+
+ for i=1:nvq
+ avq_filename = char(cellstr(vq_filename)(i));
+ avq_search = char(cellstr(vq_search)(i));
+ x = load(avq_filename); vq = x.vq; [vq_rows vq_cols] = size(vq);
+ vq_st = vq_start(i); vq_en = vq_st + vq_cols - 1;
+ printf("\nsplit VQ: %d vq_filename: %s vq_search: %s vq_st: %d vq_en: %d nVec: %d\n", i, avq_filename, avq_search, vq_st, vq_en, vq_rows);
+ target = rate_K_vec_fit(vq_st:vq_en);
+
+ if strcmp(avq_search, "mse")
+ [idx contrib errors test_ g mg sl] = vq_search_mse(vq, target);
+ rate_K_surface_fit_(f, vq_st:vq_en) = contrib;
+ end
+
+ if strcmp(avq_search, "gain")
+ [idx contrib errors b] = vq_search_gain(vq, target, weights);
+ end
+
+ if strcmp(avq_search, "max")
+ [idx contrib errors b] = vq_search_max(vq, target);
+ end
+
+ if strcmp(avq_search, "sg")
+ [idx contrib errors b] = vq_search_sg(vq, target);
+ end
+
+ if strcmp(avq_search, "mg")
+ [idx contrib errors b] = vq_search_mg(vq, target);
+ end
+
+ if strcmp(avq_search, "slope")
+ [idx contrib errors b_log] = vq_search_slope(vq, target, "closed_quant_slope");
+ rate_K_surface_fit_(f, vq_st:vq_en) = contrib;
+ printf(" mg: %3.2f sl: %3.2f g: %3.2f \n", b_log(1), b_log(2), b_log(3));
+ if quant_en
+ % set slope to 0
+ contrib1 = contrib;
+ contrib = b_log(1)*vq(idx,:) + b_log(3);
+ rate_K_vec_(vq_en+1:K) -= b_log(2)*vq_cols;
+ end
+ end
+
+ rate_K_vec_(vq_st:vq_en) = contrib;
+ end
+
+ plot(rate_K_sample_freqs_kHz(vq_st:vq_en)*1000, contrib, 'm+-');
+ if strcmp(vq_search, "para")
+ plot(rate_K_sample_freqs_kHz(vq_st:vq_en)*1000, para_target, 'c+-');
+ if quant_en
+ plot(rate_K_sample_freqs_kHz(vq_st:vq_en)*1000, para, 'r+-');
+ end
+ end
+ l = sprintf(";diff vq sd = %3.2f;k+-", std(target - contrib));
+ plot(rate_K_sample_freqs_kHz(vq_st:vq_en)*1000, target - contrib, l);
+ end
+
+ % And .... back to rate L
+
+ if (strcmp(vq_search, "construct") == 0) && (strcmp(vq_search, "construct_indep") == 0)
+ rate_K_vec_ += meanf;
+ end
+ if strcmp(mode, "const")
+ [model_ AmdB_] = resample_rate_L(model(f,:), rate_K_vec_, rate_K_sample_freqs_kHz, Fs);
+ end
+ if strcmp(mode, "mel")
+ [model_ AmdB_] = resample_rate_L(model(f,:), rate_K_vec_, rate_K_sample_freqs_kHz, Fs, "lancmel");
+ end
+ AmdB_ = AmdB_(1:L);
+ sdL = std(abs(AmdB - AmdB_));
+
+ plot((1:L)*Wo*4000/pi, AmdB_,";AmdB bar;r+-");
+ if nvq == 0
+ l = sprintf(";error sd %3.2f dB;bk+-", sdL);
+ plot((1:L)*Wo*4000/pi, (AmdB - AmdB_), l);
+ end
+ hold off;
+
+ if phase_en
+
+ % est phase using HT
+
+ Am_ = model(f,3:(L+2));
+ fft_enc = 512;
+ phase_est = determine_phase(model_, 1, fft_enc);
+ phase0 = zeros(1,L);
+ for m=1:L
+ b = round(m*Wo*fft_enc/(2*pi));
+ phase0(m) = phase_est(b);
+ end
+
+ % plot amplitudes and phase for first 1kHz
+
+ figure(fg++); clf;
+ subplot(211);
+ plot((1:L)*Wo*4000/pi, AmdB_(1:L),'+-');
+ subplot(212);
+ plot((1:L)*Wo*4000/pi, phase(f,1:L),'+-');
+ hold on;
+ plot((1:L)*Wo*4000/pi, phase0(1:L),'r+-');
+ hold off;
+
+ % simple synthesis using sinusoidal parameters
+
+ figure(fg++); clf;
+ N = 320;
+ s = s_phase0 = zeros(1,N);
+ for m=1:L
+ s = s + Am_(m)*cos(m*Wo*(1:N) + phase(f,m));
+ s_phase0 = s_phase0 + Am_(m)*cos(m*Wo*(1:N) + phase0(m));
+ end
+ subplot(211); plot(s); subplot(212); plot(s_phase0,'g');
+ end
+
+ if quant_en
+ figure(fg++); clf;
+ plot(contrib1, 'b+-');
+ hold on; plot(contrib,'r+'); hold off;
+ end
+
+ if weight_en
+ figure(fg++); clf;
+ subplot(211);
+ plot((1:L)*Wo*4000/pi, AmdB,";AmdB;g+-");
+ axis([1 4000 -20 80]);
+ hold on;
+ plot(rate_K_sample_freqs_kHz*1000, rate_K_vec, ";rate K;b+-");
+ hold off;
+ subplot(212);
+ plot(rate_K_sample_freqs_kHz(vq_st:vq_en)*1000, weights);
+ axis([1 4000 0 8]);
+ end
+
+ % interactive menu ------------------------------------------
+
+ printf("\rframe: %d menu: n-next b-back q-quit w-quant[%d]", f, quant_en);
+ fflush(stdout);
+ k = kbhit();
+
+ if k == 'w'
+ quant_en++;
+ if quant_en == 2; quant_en = 0; end
+ endif
+ if k == 'n'
+ f = f + 1;
+ endif
+ if k == 'b'
+ f = f - 1;
+ endif
+ if k == 'o'
+ fit_order++;
+ if fit_order == 2
+ fit_order = 0;
+ end
+ endif
+ until (k == 'q')
+ printf("\n");
+
+endfunction
+
+
+function ind = arg_exists(v, str)
+ ind = 0;
+ for i=1:length(v)
+ if !ind && strcmp(v{i}, str)
+ ind = i;
+ end
+ end
+endfunction
+
+
diff --git a/libcodec2-android/src/codec2/octave/newamp2.m b/libcodec2-android/src/codec2/octave/newamp2.m
new file mode 100644
index 0000000..dce8178
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp2.m
@@ -0,0 +1,1420 @@
+% newamp2.m
+%
+% Copyright David Rowe 2018
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Library of Octave functions to explore new ideas in amplitude
+% (spectral envelope) modelling. See newamp2_fby (frame by frame
+% analysis) and newamp2_batch (batch processing for listening tests)
+%
+
+1;
+
+% --------------------------------------------------------------------------------
+% Functions used by rate K mel work
+% --------------------------------------------------------------------------------
+
+function y = lanczos2(x)
+ y = sinc(x).*sinc(x/2);
+endfunction
+
+function y = interp_lanczos(xp, yp, xp_max, x)
+
+ y = zeros(1,length(x));
+ k = 1;
+ for i=1:length(x)
+ % find closest sample in xp just greater than xi
+ xi = x(i);
+ while (xp(k) <= xi) && (k < length(xp)-2)
+ k++;
+ end
+
+ % we'd like to use k-2 .. k+2, but we need to stay inside limits of xp
+
+ k_st = k - 2; k_st = max(1,k_st);
+ k_en = k + 2; k_en = min(length(xp),k_en);
+ % printf("i: %d xi: %f k: %d k_st: %d k_en: %d\n", i, xi, k, k_st, k_en);
+
+ % map frequencies to x in -2 ... + 2
+
+ delta = xp(2) - xp(1);
+ xl = (xp(k_st:k_en) - xi)/delta;
+
+ y(i) = lanczos2(xl) * yp(k_st:k_en)';
+
+ end
+
+endfunction
+
+
+% General 2nd order parabolic interpolator. Used splines orginally,
+% but this is much simpler and we don't need much accuracy. Given two
+% vectors of points xp and yp, find interpolated values y at points x
+%
+
+% If a point in x is less than the smallest point in xp, we linearly
+% interpolate down to (0,0). If a point in x is greater than the
+% greatest value in xp, we linearly interpolate down to (xp_max, 0)
+
+function y = interp_para(xp, yp, xp_max, x)
+ assert( (length(xp) >=3) && (length(yp) >= 3) );
+
+ y = zeros(1,length(x));
+ k = 1;
+ for i=1:length(x)
+ xi = x(i);
+
+ % k is index into xp of where we start 3 points used to form parabola
+
+ while (xp(k) < xi) && (k < length(xp))
+ k++;
+ end
+
+ %printf("xi: %f k = %d\n", xi, k);
+ if k == 1
+ % linear interpolation at low end
+ x1 = 0; y1 = 0;
+ x2 = xp(k); y2 = yp(k);
+ b = (y2-y1)/(x2-x1);
+ y(i) = b*(xi-x2) + y2;
+ %printf("lin1 k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
+ elseif k < length(xp)
+ % parabolic interpolation
+ x1 = xp(k-1); y1 = yp(k-1);
+ x2 = xp(k); y2 = yp(k);
+ x3 = xp(k+1); y3 = yp(k+1);
+ a = ((y3-y2)/(x3-x2)-(y2-y1)/(x2-x1))/(x3-x1);
+ b = ((y3-y2)/(x3-x2)*(x2-x1)+(y2-y1)/(x2-x1)*(x3-x2))/(x3-x1);
+ y(i) = a*(xi-x2)^2 + b*(xi-x2) + y2;
+ %printf("para1 k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
+ elseif (k == length(xp)) && (xi < xp(k))
+ % parabolic interpolation, but shift xp points back by 1
+ x1 = xp(k-2); y1 = yp(k-2);
+ x2 = xp(k-1); y2 = yp(k-1);
+ x3 = xp(k); y3 = yp(k);
+ a = ((y3-y2)/(x3-x2)-(y2-y1)/(x2-x1))/(x3-x1);
+ b = ((y3-y2)/(x3-x2)*(x2-x1)+(y2-y1)/(x2-x1)*(x3-x2))/(x3-x1);
+ y(i) = a*(xi-x2)^2 + b*(xi-x2) + y2;
+ %printf("para2 k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
+ elseif k == length(xp)
+ % linear interpolation at high end
+ x1 = xp(k); y1 = yp(k);
+ x2 = xp_max; y2 = 0;
+ b = (y2-y1)/(x2-x1);
+ y(i) = b*(xi-x1) + y1;
+ %printf("lin2 k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
+ end
+
+ end
+endfunction
+
+
+#{
+% choose largest sample in band, idea is we care more about finding
+% peaks, can handle some error in frequency. x are non linear
+% (arbitrary) sampling points in kHz
+
+function y = interp_largest(f0_Hz, AmdB, x_kHz)
+ L = length(AmdB);
+ x = x_kHz*1000;
+ y = zeros(1,length(x));
+ bw = x(2) - x(1);
+ k = 1;
+
+ for i=1:length(x)
+
+ % determine limits of this band
+
+ if i>1
+ bw = x(i) - x(i-1);
+ end
+ band_low = x(i) - bw/2; band_high = x(i) + bw/2;
+
+ % map band limits to harmonics
+
+ if x(i) < f0_Hz
+ m_low = m_high = 1;
+ else
+ m_low = round(band_low/f0_Hz); m_high = round(band_high/f0_Hz)-1;
+ m_low = max(1, m_low); m_high = min(L, m_high); m_high = max(m_low, m_high);
+ end
+
+ printf("L: %d f0: %f i: %d band_low: %f band_high: %f m_low: %d m_high: %d\n",L, f0_Hz, i, band_low, band_high, m_low, m_high);
+ % find max in band
+
+ y(i) = max(AmdB(m_low:m_high));
+ end
+
+endfunction
+#}
+
+% simple linear interpolator
+
+function y = interp_linear(xp, yp, x)
+ assert( (length(xp) == 2) && (length(yp) == 2) );
+
+ m = (yp(2) - yp(1))/(xp(2) - xp(1));
+ c = yp(1) - m*xp(1);
+
+ y = zeros(1,length(x));
+ for i=1:length(x)
+ y(i) = m*x(i) + c;
+ end
+endfunction
+
+% quantise input sample to nearest value in table, optionally return binary code
+% should work with vectors and weights too
+
+function [quant_out best_i bits] = quantise(levels, quant_in, weights=1)
+
+ % if a scaler quantiser make it a col vector
+ if rows(levels) == 1
+ levels = levels';
+ end
+
+ % find closest quantiser level
+
+ best_se = 1E32;
+ for i=1:length(levels)
+ se = sum( ((levels(i,:) - quant_in).^2) .* weights );
+ if se < best_se
+ quant_out = levels(i,:);
+ best_se = se;
+ best_i = i;
+ end
+ end
+
+ % convert index to binary bits
+
+ bits = index_to_bits(best_i-1, ceil(log2(length(levels))));
+
+endfunction
+
+
+% Quantisation functions for Wo in log freq domain
+
+function index = encode_log_Wo(Wo, bits)
+ Wo_levels = 2.^bits;
+ Wo_min = 2*pi/160;
+ Wo_max = 2*pi/20;
+
+ norm = (log10(Wo) - log10(Wo_min))/(log10(Wo_max) - log10(Wo_min));
+ index = floor(Wo_levels * norm + 0.5);
+ index = max(index, 0);
+ index = min(index, Wo_levels-1);
+endfunction
+
+function Wo = decode_log_Wo(index, bits)
+ Wo_levels = 2.^bits;
+ Wo_min = 2*pi/160;
+ Wo_max = 2*pi/20;
+
+ step = (log10(Wo_max) - log10(Wo_min))/Wo_levels;
+ Wo = log10(Wo_min) + step*index;
+
+ Wo = 10 .^ Wo;
+endfunction
+
+
+% convert index to binary bits
+
+function bits = index_to_bits(value, numbits)
+ levels = 2.^numbits;
+ bits = zeros(1, numbits);
+ for b=1:numbits
+ bits(b) = bitand(value,2^(numbits-b)) != 0;
+ end
+end
+
+function value = bits_to_index(bits, numbits)
+ value = sum(2.^(numbits-1:-1:0) .* bits);
+endfunction
+
+
+% Determine a phase spectra from a magnitude spectra
+% from http://www.dsprelated.com/showcode/20.php
+% Haven't _quite_ figured out how this works but have to start somewhere ....
+%
+% TODO: we may be able to sample at a lower rate, like mWo
+% but start with something that works
+function [phase Gdbfk s Aw] = determine_phase(model, f, Nfft=512, ak)
+ Fs = 8000;
+ max_amp = 80;
+ L = min([model(f,2) max_amp-1]);
+ Wo = model(f,1);
+
+ sample_freqs_kHz = (Fs/1000)*[0:Nfft/2]/Nfft; % fft frequency grid (nonneg freqs)
+ Am = model(f,3:(L+3));
+ AmdB = 20*log10(Am);
+ rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
+ Gdbfk = interp_lanczos(rate_L_sample_freqs_kHz, AmdB, Fs/(2*1000), sample_freqs_kHz);
+
+ % Gdbfk = resample_mask(model, f, mask_sample_freqs_kHz);
+
+ % optional input of aks for testing
+
+ if nargin == 4
+ Aw = 1 ./ fft(ak,Nfft);
+ Gdbfk = 20*log10(abs(Aw(1:Nfft/2+1)));
+ end
+
+ [phase s] = mag_to_phase(Gdbfk, Nfft);
+
+endfunction
+
+
+% Non linear sampling of frequency axis, reducing the "rate" is a
+% first step before VQ
+
+function mel = ftomel(fHz)
+ mel = floor(2595*log10(1+fHz/700)+0.5);
+endfunction
+
+
+function rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K, fstart_hz=100, fend_hz=0.95*4000)
+ mel_start = ftomel(fstart_hz); mel_end = ftomel(fend_hz);
+ step = (mel_end-mel_start)/(K-1);
+ mel = mel_start:step:mel_end;
+ rate_K_sample_freqs_Hz = 700*((10 .^ (mel/2595)) - 1);
+ rate_K_sample_freqs_kHz = rate_K_sample_freqs_Hz/1000;
+endfunction
+
+
+function plot_mel_sample_freqs(K, f_start_hz, f_end_hz)
+ rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K, f_start_hz, f_end_hz);
+ figure(1); clf;
+ plot(rate_K_sample_freqs_kHz,'+');
+endfunction
+
+
+function [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model, K, Fs=8000, interp_alg='lanc')
+ rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K, 100, 0.95*Fs/2);
+ rate_K_surface = resample_const_rate_f(model, rate_K_sample_freqs_kHz, Fs, interp_alg);
+endfunction
+
+
+% Resample Am from time-varying rate L=floor(pi/Wo) to fixed rate K. This can be viewed
+% as a 3D surface with time, freq, and ampitude axis.
+
+function [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f(model, rate_K_sample_freqs_kHz, Fs, interp_alg='lanc')
+
+ % convert rate L=pi/Wo amplitude samples to fixed rate K
+
+ max_amp = 160;
+ [frames col] = size(model);
+ K = length(rate_K_sample_freqs_kHz);
+ rate_K_surface = zeros(frames, K);
+
+ for f=1:frames
+ Wo = model(f,1);
+ L = min([model(f,2) max_amp-1]);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+
+ clip_en = 0;
+ if clip_en
+ % clip between peak and peak -50dB, to reduce dynamic range
+
+ AmdB_peak = max(AmdB);
+ AmdB(find(AmdB < (AmdB_peak-50))) = AmdB_peak-50;
+ end
+
+ rate_L_sample_freqs_kHz = (1:L)*Wo*Fs/(2000*pi);
+
+ %rate_K_surface(f,:) = interp1([0 rate_L_sample_freqs_kHz (Fs/2000)], [AmdB(1) AmdB AmdB(L)], rate_K_sample_freqs_kHz, "spline");
+ if strcmp(interp_alg, 'para')
+ rate_K_surface(f,:) = interp_para(rate_L_sample_freqs_kHz, AmdB, Fs/(2*1000), rate_K_sample_freqs_kHz);
+ end
+ if strcmp(interp_alg, 'lanc')
+ rate_K_surface(f,:) = interp_lanczos(rate_L_sample_freqs_kHz, AmdB, Fs/(2*1000), rate_K_sample_freqs_kHz);
+ end
+
+ % equalise energy betweerate L and rate K samples. This was required for interframe decimation/interpolation
+ % when Wo is jumping about, e.g. UV frames
+
+ energy_L = sum(Am.^2);
+ rate_K_vec_lin = 10 .^ (rate_K_surface(f,:)/20);
+ energy_K = sum(rate_K_vec_lin .^ 2);
+ g = sqrt(energy_L/energy_K);
+ rate_K_surface(f,:) += 20*log10(g);
+ %printf("%d\n", f);
+ end
+ %printf("\n");
+endfunction
+
+
+% Take a rate K surface and convert back to time varying rate L
+
+function [model_ AmdB_] = resample_rate_L(model, rate_K_surface, rate_K_sample_freqs_kHz, Fs=8000, interp_alg='lanc')
+ max_amp = 160; K = columns(rate_K_surface);
+ [frames col] = size(model);
+
+ AmdB_ = zeros(frames, max_amp);
+ model_ = zeros(frames, max_amp+2);
+ for f=1:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ rate_L_sample_freqs_kHz = (1:L)*Wo*Fs/(2000*pi);
+
+ % back down to rate L
+
+ % dealing with end effects is an ongoing issue.....need a better solution
+
+ if strcmp(interp_alg, 'para')
+ AmdB_(f,1:L) = interp_para(rate_K_sample_freqs_kHz, rate_K_surface(f,:), Fs/(2*1000), rate_L_sample_freqs_kHz);
+ end
+ if strcmp(interp_alg, 'lanc')
+ AmdB_(f,1:L) = interp_lanczos(rate_K_sample_freqs_kHz, rate_K_surface(f,:), Fs/(2*1000), rate_L_sample_freqs_kHz);
+ end
+ if strcmp(interp_alg, 'lancmel')
+ rate_K_sample_freqs_mel = ftomel(rate_K_sample_freqs_kHz*1000);
+ rate_L_sample_freqs_mel = ftomel(rate_L_sample_freqs_kHz*1000);
+ AmdB_(f,1:L) = interp_lanczos(rate_K_sample_freqs_mel, rate_K_surface(f,:), Fs/(2*1000), rate_L_sample_freqs_mel);
+ end
+
+ % equalise energy
+
+ Am_ = 10 .^ (AmdB_(f, 1:L)/20);
+ energy_L = sum(Am_.^2);
+ rate_K_vec_lin = 10 .^ (rate_K_surface(f,:)/20);
+ energy_K = sum(rate_K_vec_lin .^ 2);
+ g = sqrt(energy_K/energy_L);
+ Am_ *= g;
+
+ model_(f,1) = Wo; model_(f,2) = L; model_(f,3:(L+2)) = Am_;
+ end
+endfunction
+
+
+% Decoder side interpolation of Wo and voicing, to go from 25 Hz
+% sample rate used over channel to 100Hz internal sample rate of Codec
+% 2.
+
+function [Wo_ voicing_] = interp_Wo_v(Wo1, Wo2, voicing1, voicing2)
+ M = 4;
+ max_amp = 80;
+
+ Wo_ = zeros(1,M);
+ voicing_ = zeros(1,M);
+ if !voicing1 && !voicing2
+ Wo_(1:M) = 2*pi/100;
+ end
+
+ if voicing1 && !voicing2
+ Wo_(1:M/2) = Wo1;
+ Wo_(M/2+1:M) = 2*pi/100;
+ voicing_(1:M/2) = 1;
+ end
+
+ if !voicing1 && voicing2
+ Wo_(1:M/2) = 2*pi/100;
+ Wo_(M/2+1:M) = Wo2;
+ voicing_(M/2+1:M) = 1;
+ end
+
+ if voicing1 && voicing2
+ Wo_samples = [Wo1 Wo2];
+ Wo_(1:M) = interp_linear([1 M+1], Wo_samples, 1:M);
+ voicing_(1:M) = 1;
+ end
+
+ #{
+ printf("f: %d f+M/2: %d Wo: %f %f (%f %%) v: %d %d \n", f, f+M/2, model(f,1), model(f+M/2,1), 100*abs(model(f,1) - model(f+M/2,1))/model(f,1), voicing(f), voicing(f+M/2));
+ for i=f:f+M/2-1
+ printf(" f: %d v: %d v_: %d Wo: %f Wo_: %f\n", i, voicing(i), voicing_(i), model(i,1), model_(i,1));
+ end
+ #}
+endfunction
+
+
+function [rate_K_vec_corrected orig_error error nasty_error_log nasty_error_m_log] = correct_rate_K_vec(rate_K_vec, rate_K_sample_freqs_kHz, AmdB, AmdB_, K, Wo, L, Fs)
+
+ % aliasing correction --------------------------------------
+
+ % The mel sample rate decreases as frequency increases. Look for
+ % any regions above 1000Hz where we have missed definition of a
+ % spectral peak (formant) due to aliasing. Adjust the rate K
+ % sample levels to restore peaks. Theory is that correct
+ % definition of a formant is less important than the frequency of
+ % the formant. As long as we define a formant in that general
+ % frequency area it will sound OK.
+
+ Am_freqs_kHz = (1:L)*Wo*Fs/(2000*pi);
+
+ % Lets see where we have made an error
+
+ error = orig_error = AmdB(1:L) - AmdB_(1:L);
+
+ Ncorrections = 3; % maximum number of rate K samples to correct
+ error_thresh = 3; % only worry about errors larger than thresh
+
+ start_m = floor(L*1000/(Fs/2));
+ error(1:start_m) = 0; % first 1000Hz is densly sampled so ignore
+ nasty_error_m_log = []; nasty_error_log = [];
+
+
+ rate_K_vec_corrected = rate_K_vec;
+ for i=1:Ncorrections
+ [mx mx_m] = max(error);
+
+ if mx > error_thresh
+ nasty_error_log = [nasty_error_log mx];
+ nasty_error_m_log = [nasty_error_m_log mx_m];
+
+ % find closest rate K sample to nasty error
+
+ nasty_error_freq = mx_m*Wo*Fs/(2*pi*1000);
+ [tmp closest_k] = min(abs(rate_K_sample_freqs_kHz - nasty_error_freq));
+ rate_K_vec_corrected(closest_k) = AmdB(mx_m);
+
+ % zero out error in this region and look for another large error region
+
+ k = max(1, closest_k-1);
+ rate_K_prev_sample_kHz = rate_K_sample_freqs_kHz(k);
+ k = min(K, closest_k+1);
+ rate_K_next_sample_kHz = rate_K_sample_freqs_kHz(k);
+
+ [tmp st_m] = min(abs(Am_freqs_kHz - rate_K_prev_sample_kHz));
+ [tmp en_m] = min(abs(Am_freqs_kHz - rate_K_next_sample_kHz));
+ if closest_k == K
+ en_m = L;
+ end
+ error(st_m:en_m) = 0;
+ end
+ end
+endfunction
+
+
+% Given a vector of rate K samples, deltaf encodes/decodes delta
+% amplitude using a huffman encoder, returning quantised samples and
+% bit stream
+
+function [rate_K_vec_ bits] = deltaf_quantise_rate_K_huff(rate_K_vec, E, nbits_max)
+ K = length(rate_K_vec);
+ nbits_remaining = nbits_max;
+
+ % start with k=3, around 250Hz, we assume that's quantised as the
+ % mean frame energy, as samples before that might be stuck in the
+ % HPF.
+
+ rate_K_vec_ = zeros(1,K);
+ rate_K_vec_(3) = E;
+
+ % encoding of differences
+
+ levels = [0 6 -6 -12 12]; symbols = {[0 0],[1 0],[1 1],[0 1 0;],[0 1 1]};
+
+ % this is pretty coarse (note no 0dB level) but sounds OK
+
+ %levels = [-6 +6 -12 +12]; symbols = {[0 0],[1 0],[1 1],[0 1]};
+
+ % move backwards to get target for first two samples
+
+ bits = [];
+ for m=2:-1:1
+ target = rate_K_vec(m) - rate_K_vec_(m+1);
+ [target_ best_i] = quantise(levels, target);
+ bits = [bits symbols{best_i}];
+ nbits_remaining -= length(symbols{best_i});
+ rate_K_vec_(m) = rate_K_vec_(m+1) + target_;
+ end
+
+ % then forwards for rest of the target samples
+
+ for m=4:K
+ target = rate_K_vec(m) - rate_K_vec_(m-1);
+ if nbits_remaining >= 3
+ [target_ best_i] = quantise(levels, target);
+ bits = [bits symbols{best_i}];
+ nbits_remaining -= length(symbols{best_i});
+ elseif nbits_remaining == 2
+ [target_ best_i] = quantise(levels(1:3), target);
+ bits = [bits symbols{best_i}];
+ nbits_remaining = 0;
+ elseif nbits_remaining < 2
+ target_ = -6; % if we've run out of bits just tail off
+ end
+ rate_K_vec_(m) = target_ + rate_K_vec_(m-1);
+ %printf("m: %d length: %d nbits_remaining: %d\n", m, length(bits), nbits_remaining);
+ end
+
+ bits = [bits zeros(1,nbits_remaining)];
+endfunction
+
+
+% Given a vector of bits, and the k=3 frame amplitude sample E, decode to a
+% rate K vector of huffman encoded quantised spectral amplitude samples
+
+function rate_K_vec_ = deltaf_decode_rate_K_huff(bits, E, K)
+
+ % start with k=3, around 250Hz, we assume that's quantised as the
+ % mean frame energy, as samples before that might be stuck in the
+ % HPF.
+
+ rate_K_vec_ = zeros(1,K);
+ rate_K_vec_(3) = E;
+
+ % move backwards to get target for first two samples
+
+ for m=2:-1:1
+ [target_ bits] = deltaf_dec_one_symbol(bits);
+ rate_K_vec_(m) = rate_K_vec_(m+1) + target_;
+ end
+
+ % then forwards for rest of the target samples
+
+ for m=4:K
+ if length(bits) >= 2
+ [target_ bits] = deltaf_dec_one_symbol(bits);
+ else
+ target_ = -6; % if we've run out of bits just tail off
+ end
+ rate_K_vec_(m) = target_ + rate_K_vec_(m-1);
+ %printf("m: %d nbits_remaining: %d\n", m, length(bits));
+ end
+endfunction
+
+
+% decode one symbol and truncate bits array
+
+function [target_ bits] = deltaf_dec_one_symbol(bits)
+ levels = [0 6 -6 -12 12]; symbols = {[0 0],[1 0],[1 1],[0 1 0;],[0 1 1]};
+
+ two_bits = bits(1:2);
+
+ if two_bits == [0 1]
+ if length(bits) > 2
+ % OK a three bit code
+ if bits(3) == 0
+ target_ = levels(4);
+ else
+ target_ = levels(5);
+ end
+ bits = bits(4:end);
+ else
+ # we must have a bit error
+ target_ = levels(5);
+ bits = [];
+ end
+ else
+ if two_bits == [0 0]
+ target_ = levels(1);
+ end
+ if two_bits == [1 0]
+ target_ = levels(2);
+ end
+ if two_bits == [1 1]
+ target_ = levels(3);
+ end
+ bits = bits(3:end);
+ end
+endfunction
+
+
+function rate_K_vec_ = dct_quantise_rate_K(rate_K_vec)
+ K = length(rate_K_vec);
+ D = dct(rate_K_vec);
+ printf("\n");
+ D_ = 8*round(D/8);
+ D_(1) = D(1);
+ for d=1:K
+ printf("%4d",round(D(d)/8));
+ end
+ rate_K_vec_ = idct(D_);
+endfunction
+
+
+function un(sl)
+ U = unique(sl,"rows")
+ cnt = [];
+ for v=1:length(U)
+ sm = sum(ismember(sl,U(v,:),"rows"));
+ cnt = [cnt sm];
+ end
+ s = sort(cnt, "descend");
+ figure(1); clf; subplot(211); plot(s); subplot(212); plot(cumsum(s));
+endfunction
+
+
+% Joint Wo and LPC energy vector quantiser developed by Jean-Marc Valin.
+% Octave port of functions in quantise.c
+
+function w = compute_weights2(x, xp)
+ w(1) = 30;
+ w(2) = 1;
+ if x(2) < 0
+ w(1) *= 0.6;
+ w(2) *= 0.3;
+ end
+ if x(2) < -10
+ w(1) *= 0.3;
+ w(2) *= 0.3;
+ end
+
+ % Higher weight if pitch is stable
+
+ if abs(x(1)-xp(1)) < 0.2
+ w(1) *= 2;
+ w(2) *= 1.5;
+ elseif abs(x(1)-xp(1)) > 0.5
+ % Lower if not stable
+ w(1) *= 0.5;
+ end
+
+ % Lower weight for low energy
+
+ if x(2) < xp(2) - 10
+ w(2) *= 0.5;
+ end
+ if x(2) < xp(2) - 20
+ w(2) *= .5;
+ end
+
+ % Square the weights because it's applied on the squared error
+
+ w(1) *= w(1);
+ w(2) *= w(2);
+endfunction
+
+
+function [Wo_ E_ xq] = quantise_WoE(Wo, E, xq, vq)
+ ge_coeff = [0.8 0.9];
+
+ % VQ is only trained for Fs = 8000 Hz
+
+ Fs = 8000;
+ Fo_min = 50; Fo_max = 400;
+ P_min = Fs/Fo_max; P_max = Fs/Fo_min;
+ Wo_min = 2*pi/P_max;
+ Wo_max = 2*pi/P_min;
+
+ E = max(1,E);
+
+ x(1) = log10(Wo/Wo_min)/log10(2);
+ x(2) = 10.0*log10(1e-4 + E);
+
+ w = compute_weights2(x, xq);
+ w = [30 1];
+ err = x - ge_coeff .* xq;
+ err_ = quantise(vq, err, w);
+ %err_ = err;
+ xq = ge_coeff .* xq + err_;
+
+ #{
+ x = log2(4000*Wo/(PI*50));
+ 2^x = 4000*Wo/(PI*50)
+ Wo = (2^x)*(PI*50)/4000;
+ #}
+
+ Wo_ = (2 ^ xq(1))*Wo_min;
+
+ Wo_ = min(Wo_max,Wo_);
+ Wo_ = max(Wo_min,Wo_);
+
+ E_ = 10.0 ^ (xq(2)/10.0);
+ E_ = max(1,E_);
+endfunction
+
+
+% Find distance of each vector in codebook using gain shape search
+% Uses discrete values, in unit range
+
+function dist_gain_shape(codebook, target)
+ [entries K] = size(codebook);
+ dist = zeros(entries,1);
+ best = zeros(entries,K);
+ for i=1:entries
+ min_dist = 1000;
+ for g=-10:20
+ adist = sum(abs(target - (codebook(i,:) + g)));
+ if adist < min_dist
+ min_dist = adist;
+ min_g = g;
+ end
+ end
+ dist(i) = min_dist;
+ best(i,:) = codebook(i,:) + min_g;
+ end
+ figure(1); clf; plot(dist);
+ axis([1 entries 0 K])
+ target
+ [tmp min_i] = min(dist);
+ target - best(min_i,:)
+endfunction
+
+
+% As above but without the gain
+
+function dist_shape(codebook, target)
+ [entries K] = size(codebook);
+ dist = zeros(entries,1);
+ for i=1:entries
+ dist(i) = sum(abs(target - (codebook(i,:))));
+ end
+ figure(1); clf; plot(dist);
+ axis([1 entries 0 K])
+ target
+ [tmp min_i] = min(dist);
+ target - codebook(min_i,:)
+endfunction
+
+
+% Given a vector of rate K samples, deltaf encodes/decodes delta
+% amplitude using a fixed bit/sample allocation, returning quantised
+% samples and bit stream
+
+function [rate_K_vec_ bits] = deltaf_quantise_rate_K_fixed(rate_K_vec, E, nbits_max)
+ K = length(rate_K_vec);
+
+ % start with k=3, around 250Hz, we assume that's quantised as the
+ % mean frame energy, as samples before that might be stuck in the
+ % HPF.
+
+ rate_K_vec_ = zeros(1,K);
+ rate_K_vec_(3) = E;
+
+ % encoding of differences
+
+ levels_2bit = [-3 +3 -9 9];
+ levels_3bit = [0 -6 +6 -12 +12 -18 +18 -24];
+
+ % move backwards to get target for first two samples
+
+ bits = [];
+ for m=2:-1:1
+ target = rate_K_vec(m) - rate_K_vec_(m+1);
+ [target_ best_i] = quantise(levels_2bit, target);
+ % printf("m: %d target_ %f best_i: %d\n", m, target_, best_i);
+ bits = [bits index_to_bits(best_i-1, 2)];
+ rate_K_vec_(m) = rate_K_vec_(m+1) + target_;
+ end
+
+ % then forwards for rest of the target samples
+
+ for m=4:9
+ target = rate_K_vec(m) - rate_K_vec_(m-1);
+ [target_ best_i] = quantise(levels_3bit, target);
+ bits = [bits index_to_bits(best_i-1, 3)];
+ rate_K_vec_(m) = target_ + rate_K_vec_(m-1);
+ end
+ for m=10:K
+ target = rate_K_vec(m) - rate_K_vec_(m-1);
+ [target_ best_i] = quantise(levels_2bit, target);
+ bits = [bits index_to_bits(best_i-1, 2)];
+ rate_K_vec_(m) = target_ + rate_K_vec_(m-1);
+ end
+ assert(length(bits) == nbits_max);
+endfunction
+
+
+% Given a vector of bits, and the k=3 frame amplitude sample E, decode
+% to a rate K vector of encoded quantised spectral amplitude samples
+% with fixed bit allocation
+
+function rate_K_vec_ = deltaf_decode_rate_K_fixed(bits, E, K)
+
+ % start with k=3, around 250Hz, we assume that's quantised as the
+ % mean frame energy, as samples before that might be stuck in the
+ % HPF.
+
+ rate_K_vec_ = zeros(1,K);
+ rate_K_vec_(3) = E;
+
+ levels_2bit = [-3 +3 -9 9];
+ levels_3bit = [0 -6 +6 -12 +12 -18 +18 -24];
+
+ % move backwards to get target for first two samples
+
+ for m=2:-1:1
+ index = bits_to_index(bits(1:2),2) + 1;
+ target_ = levels_2bit(index);
+ rate_K_vec_(m) = rate_K_vec_(m+1) + target_;
+ bits = bits(3:end);
+ end
+
+ % then forwards for rest of the target samples
+
+ for m=4:9
+ index = bits_to_index(bits(1:3), 3) + 1;
+ target_ = levels_3bit(index);
+ rate_K_vec_(m) = rate_K_vec_(m-1) + target_;
+ bits = bits(4:end);
+ end
+ for m=10:K
+ index = bits_to_index(bits(1:2), 2) + 1;
+ target_ = levels_2bit(index);
+ rate_K_vec_(m) = rate_K_vec_(m-1) + target_;
+ if m != K
+ bits = bits(3:end);
+ end
+ end
+
+endfunction
+
+
+#{
+ DCT coeff scalar quantiser, analysis stage. Plots PDFs, returns a
+ vector of quantiser levels.
+
+ Input is matrix of K columns row-vectors that represent one frame of
+ spectrum at rate K.
+#}
+
+function quantiser_levels = build_dct_quantiser(train_surf, qstepdB=1)
+ [nr K] = size(train_surf);
+
+ % remove low energy rows
+
+ m = mean(train_surf');
+ figure(4); plot(m);
+ ind = find(m>10);
+ train_surf = train_surf(ind,:);
+ nr2 = length(ind);
+ %nr2 = nr;
+ printf("K: %d nr: %d nr2: %d\n", K, nr, nr2);
+
+ D = dct(train_surf')';
+
+ figure(1); clf;
+ plot(std(D));
+ title('Std Dev of each DCT coeff');
+
+ figure(2); clf;
+ nr = ceil(sqrt(K)); nc = ceil(K/nr);
+
+ Tbits = 0; quantiser_levels = [];
+
+ for k=1:K
+ subplot(nr, nc, k)
+ v = D(:,k);
+ printf("k: %d mean %5.2f std: %5.2f min: %5.2f max: %5.2f\n", k, mean(v), std(v), min(v), max(v));
+ q_max = mean(v)+2*std(v); q_min = mean(v)-2*std(v);
+ levels = q_min:qstepdB:q_max;
+ nlevels = length(levels);
+ Tbits += log2(nlevels);
+ printf(" quantiser: min: %4.2f max: %4.2f nlevels: %d bits: %2.1f\n", q_min, q_max, nlevels, log2(nlevels));
+
+ % limit for histogram
+
+ v = min(v, q_max);
+ v = max(v, q_min);
+ [nn xx] = hist(v,50);
+ bar (xx, nn)
+
+ v_ = zeros(nr2,1);
+ for r=1:nr2
+ v_(r) = quantise(levels, v(r));
+ end
+
+ E(:,k) = v_;
+
+ quantiser_levels = [quantiser_levels; q_min q_max];
+ end
+
+ train_surf_ = idct(E')';
+ error = train_surf_ - train_surf;
+ mse = mean(mean(error .^ 2));
+ figure(3)
+ mesh(error(1:1000,:))
+ printf("mse: %4.2f Tbits: %d\n", mse, Tbits);
+endfunction
+
+
+function bits = bits_for_this_symbol(symbols, s)
+ % bits/sym for top 5, assume rest 5 bits
+ % 11 10 00 010 0110 0111
+ bps = [ 2 2 2 3 4 4];
+
+ ind = find(symbols == s);
+ if ind <= length(bps)
+ bits = bps(ind);
+ else
+ bits = 5;
+ end
+endfunction
+
+
+function [surf_ D E] = dct_quantiser(surf, quantiser_levels, method=1, qstepdB=1, limit=0)
+ [nr K] = size(surf);
+
+ printf("K: %d nr: %d\n", K, nr);
+
+ % clamp lower limit of mean to 10dB
+ #{
+ m = mean(surf')';
+ surf -= m;
+ m = min(10,m);
+ surf += m;
+ #}
+
+ D = dct(surf')';
+
+ Tbits = 0;
+
+ if method == 1
+ for k=1:K
+ q_min = quantiser_levels(k,1); q_max = quantiser_levels(k,2);
+ levels = q_min:qstepdB:q_max;
+ nlevels = length(levels);
+ if nlevels == 1
+ levels = (q_max + q_min)/2;
+ end
+ if nlevels == 2
+ m = (q_max + q_min)/2;
+ levels = [(m - qstepdB/2) (m + qstepdB/2)];
+ end
+ if nlevels == 3
+ m = (q_max + q_min)/2;
+ levels = [q_min m q_max];
+ end
+ Tbits += log2(nlevels);
+ printf(" quantiser: min: %4.2f max: %4.2f nlevels: %d bits: %2.1f\n", q_min, q_max, nlevels, log2(nlevels));
+
+ v_ = zeros(nr,1);
+ v = D(:,k);
+ for r=1:nr
+ v_(r) = quantise(levels, v(r));
+ end
+
+ E(:,k) = v_;
+ end
+ end
+
+ if method == 2
+ % quantise
+ E = round(D/qstepdB);
+ % count symbols
+ symbols = []; count = [];
+ [nr nc]= size(E);
+ if limit
+ nc = limit-1;
+ end
+ for r=1:nr
+ for c=2:nc
+ s = E(r,c);
+ ind = find(symbols == s);
+ if length(ind)
+ count(ind)++;
+ else
+ symbols = [symbols s];
+ count(length(symbols)) = 1;
+ end
+ end
+ end
+
+ % sort into order
+
+ [count ind] = sort(count, "descend");
+ symbols = symbols(ind);
+
+ % estimate bits/symbol by huffman coding direct and differences. Clever part is we
+ % choose method based on min bits, which I guess costs an extra bit. It's clever
+ % because we need direct for quick transitions, but during steady voiced parts the
+ % changes are small so coding differences does a good job.
+
+ Tbits = 0; Nsyms = 0;
+ Nbits_direct_log = Nbits_diff_log = Nbits_log = zeros(1,nr);
+
+ for r=3:nr
+ Nbits_direct = 0; Nbits_diff = 0;
+ for c=2:nc
+ s_direct = E(r,c);
+ s_diff = E(r,c) - E(r-2,c);
+ Nbits_direct += bits_for_this_symbol(symbols, s_direct);
+ Nbits_diff += bits_for_this_symbol(symbols, s_diff);
+ Nsyms++;
+ end
+ Nbits_direct_log(r) += Nbits_direct;
+ Nbits_diff_log(r) += Nbits_diff;
+ Nbits_log(r) += min(Nbits_direct, Nbits_diff);
+
+ Tbits += min(Nbits_direct, Nbits_diff);
+ end
+ figure(5); clf; plot(Nbits_direct_log(3:end),'b');
+ smooth4 = conv(Nbits_log(3:end),[1 0 1 0 1 0 1 0])/4;
+ hold on; plot(Nbits_diff_log(3:end),'g'); plot(Nbits_log(3:end),'r'); hold off;
+ figure(6); clf; plot(smooth4,'m');
+
+ ent = 0;
+ for i=1:length(symbols)
+ wi = count(i)/sum(count);
+ printf("%2d %4d %6d %4.3f %4.3f\n", i, symbols(i), count(i), wi, -wi*log2(wi));
+ ent += -wi*log2(wi);
+ end
+ printf("mean bits/frame: %3.1f mean bits/sym: %3.2f entropy: %3.2f bits\n", mean(Nbits_log), Tbits/Nsyms, ent);
+ if limit
+ E(:, limit:end) = 0;
+ end
+ E *= qstepdB;
+ end
+
+ surf_ = idct(E')';
+ error = surf_ - surf;
+ mse = mean(mean(error .^ 2));
+ figure(3)
+ [nr nc] = size(error);
+ nr = min(nr,100);
+ mesh(error(1:nr,:))
+ figure(4)
+ mesh(D(25:50,1:10))
+ printf("mse: %4.2f Tbits: %d\n", mse, Tbits);
+endfunction
+
+
+# Generate a huffman code from a matrix (surface) of spectral
+# magnitudes. The Huffman code can be used for encoding the DCT of the
+# rows of the surface (mag samples of each frame).
+#
+# Set qstepdB to the quanisation step size, e.g. 3 or 6dB is about where we can
+# notice the effect of quantisation of the DCTs (and spectral magnitides)
+#
+# Set "max_dcts" to max number of dcts coeffs you will quantise, as this affects
+# probabilities (we get many zeros in high order coeffs)
+#
+# octave:49> newamp2; p_table = design_huffman_enc(all_surf(:,2:35), 6, 18);
+
+function [symbols huff] = design_huffman_enc(surf, qstepdB=6, max_dcts=18)
+ [nr K] = size(surf);
+
+ printf("K: %d nr: %d qstepdB: %3.2f\n", K, nr, qstepdB);
+
+ D = dct(surf')';
+
+ % quantise to step size in dB
+
+ E = round(D/qstepdB);
+
+ % count symbols, ignoring first (DC) coeff which we will scalar quantise
+
+ symbols = []; count = [];
+ [nr nc]= size(E);
+ if max_dcts
+ nc = max_dcts+1;
+ printf("cols 2 to %d (%d total)\n", nc, nc-2+1);
+ end
+ for r=1:nr
+ for c=2:nc
+ s = E(r,c);
+ ind = find(symbols == s);
+ if length(ind)
+ count(ind)++;
+ else
+ symbols = [symbols s];
+ count(length(symbols)) = 1;
+ end
+ end
+ end
+
+ % sort into order
+
+ [count ind] = sort(count, "descend");
+ symbols = symbols(ind);
+
+ Nsymbols = sum(count);
+ printf("Nsymbols = %d\n", Nsymbols);
+
+ % estimate entropy
+
+ H = 0;
+ p_table = [];
+ printf(" i symb count prob wi\n");
+ for i=1:length(symbols)
+ wi = count(i)/Nsymbols; p_table = [p_table wi];
+ printf("%2d %4d %6d %4.3f %4.3f\n", i, symbols(i), count(i), wi, -wi*log2(wi));
+ H += -wi*log2(wi);
+ end
+
+ % design Huffman code
+
+ huff = huffmandict (1, p_table, 1);
+ L = 0;
+ for i=1:length(huff)
+ L += p_table(i)*length(huff{i});
+ end
+
+ printf("Entropy: %3.2f bits/symbol Huffman code: %3.2f bits/symbol\n", H, L);
+endfunction
+
+
+# Huffman encodes (and decodes) a symbol, if input symbols is out of
+# range of quantiser we choose nearest symbol
+
+function [s_ bits] = huffman_enc_symb(symbols, huff, s)
+ min_dist = 1E32; ind = 1;
+ for i=1:length(symbols)
+ dist = (symbols(i) - s) .^ 2;
+ if dist < min_dist
+ ind = i;
+ min_dist = dist;
+ end
+ end
+
+ s_ = symbols(ind);
+ bits = huff{ind};
+endfunction
+
+
+% Huffman decode a bit stream of symbols. Terminates list if we get a
+% bit error in decode
+
+function [s_ error_flag] = huffman_decode_bitstream(symbols, huff, bits)
+ error_flag = 0;
+ min_cw_length = length(huff{1});
+ match = 1;
+ s_ = [];
+
+ while ((length(bits) >= min_cw_length) && match)
+
+ % search through list of codes to find a match
+
+ match = 0;
+ for i=1:length(symbols)
+ cw = huff{i}; lcw = length(cw);
+ if (length(bits) >= lcw) & !match
+ match = isequal(cw, bits(1:lcw));
+ if match
+ s_ = [s_ symbols(i)];
+ bits = bits(lcw+1:end);
+ end
+ end
+ end
+
+ % if no match found, say due to bit error, we drop out of loop
+ end
+
+ if (length(bits) > min_cw_length) && !match
+ error_flag = 1;
+ end
+endfunction
+
+
+% Huffman encodes (and decodes) the DCTS of a surface, except first (DCT) coeff
+
+function [surf_ dc bits_surf] = huffman_encode_surf(surf, qstepdB=6, max_dcts=18, max_bits=100, symbols, huff)
+ dec = 2;
+ [nr K] = size(surf);
+
+ % allow room for direct/diff bit
+
+ max_bits_huff = max_bits - 1;
+
+ printf("K: %d nr: %d qstepdB: %3.2f max_dcts: %d\n", K, nr, qstepdB, max_dcts);
+
+ % limit num DCTs we encode (nc) to less than K to save bits, high
+ % order DCTs tend to be small
+
+ nc = K;
+ if max_dcts
+ nc = max_dcts+1;
+ printf("cols 2 to %d (%d total)\n", nc, nc-2+1);
+ end
+
+ % DCT and initial quantisation to step size
+
+ D = dct(surf')';
+ E = D/qstepdB;
+ dc = E(:,1);
+
+ % bit stream for each row (frame) is stored in a cell array
+
+ bits_surf = cell(nr,1);
+ Nbits_log = Nbits_direct_log = Nbits_diff_log = zeros(1,nr);
+ E_ = zeros(nr,K); prev_row = zeros(1,nc);
+ Tbits = Nsyms = 0;
+ E_dec = zeros(nr,K);
+
+ % encode each row
+
+ for r=1:dec:nr
+ bits_direct_row = []; bits_diff_row = []; Nbits_direct = 0; Nbits_diff = 0;
+
+ % DC just copied directly, quantised externally
+
+ E_(r,1) = E(r,1); E_dec(r,1) = E(r,1);
+
+ direct_row_ = diff_row_ = zeros(1,nc);
+ ndir_row = ndiff_row = 0; len_bits_direct_row = len_bits_diff_row = 0;
+
+ for c=2:nc
+
+ % try direct quantisation
+
+ if len_bits_direct_row < max_bits_huff
+ s_direct = E(r,c);
+ [s_direct_ bits_direct] = huffman_enc_symb(symbols, huff, s_direct);
+ if len_bits_direct_row + length(bits_direct) <= max_bits_huff
+ % can we squeeze in bits for latest symbol?
+ bits_direct_row = [bits_direct_row bits_direct];
+ direct_row_(c) = s_direct_;
+ ndir_row++;
+ len_bits_direct_row = len_bits_direct_row + length(bits_direct);
+ else
+ % can't fit any more symbols? Then signal we are finished
+ len_bits_direct_row = max_bits_huff;
+ end
+ end
+
+ % try differential quantisation
+
+ if len_bits_diff_row < max_bits
+ s_diff = E(r,c) - prev_row(c);
+ [s_diff_ bits_diff] = huffman_enc_symb(symbols, huff, s_diff);
+ if len_bits_diff_row + length(bits_diff) <= max_bits_huff
+ bits_diff_row = [bits_diff_row bits_diff];
+ diff_row_(c) = s_diff_;
+ ndiff_row++;
+ len_bits_diff_row = len_bits_diff_row + length(bits_diff);
+ else
+ len_bits_diff_row = max_bits_huff;
+ end
+ end
+
+ Nsyms++;
+ end
+
+ % choose quant method with the least number of bits
+
+ Nbits_direct = length(bits_direct_row); Nbits_diff = length(bits_diff_row);
+ Nbits_direct_log(r) = Nbits_direct; Nbits_diff_log(r) = Nbits_diff;
+ e_direct = sum((direct_row_(2:nc) - E(r,2:nc)) .^ 2);
+ e_diff = sum((diff_row_(2:nc) + prev_row(2:nc) - E(r,2:nc)) .^ 2);
+
+ %if Nbits_direct < Nbits_diff
+ if e_direct <= e_diff
+ bits_surf{r} = [1 bits_direct_row];
+ Tbits += Nbits_direct;
+ E_(r,2:nc) = direct_row_(2:nc);
+ Nbits_log(r) = Nbits_direct; diff_flag(r) = 0;
+ else
+ bits_surf{r} = [0 bits_diff_row];
+ Tbits += Nbits_diff;
+ E_(r,2:nc) = diff_row_(2:nc) + prev_row(2:nc);
+ Nbits_log(r) = Nbits_diff; diff_flag(r) = 1;
+ end
+
+ % pad out to max_bits
+
+ bits_surf{r} = [bits_surf{r} zeros(1,max_bits - length(bits_surf{r}))];
+
+ % test huffman bitstream decoder
+
+ bits_dec = bits_surf{r};
+ [s_dec error_flag] = huffman_decode_bitstream(symbols, huff, bits_dec(2:end));
+ % printf("r: %d bits_dec(1): %d l: %d error_flag: %d\n", r, bits_dec(1), length(s_dec), error_flag);
+ row_dec = zeros(1,nc);
+ row_dec(2:length(s_dec)+1) = s_dec;
+ if bits_dec(1)
+ E_dec(r,2:nc) = row_dec(2:nc);
+ else
+ E_dec(r,2:nc) = row_dec(2:nc) + prev_row(2:nc);
+ end
+ assert(E_dec(r,2:nc) == E_(r,2:nc));
+
+ % update memory - note we use quantised symbols as that's what we have at decoder
+
+ if r >=3
+ prev_row = E_(r,1:nc);
+
+ % if we are decimating, interpolate DCTs to get original frame rate
+
+ if dec == 2
+ E_(r-1,:) = 0.5*E_(r-2,:) + 0.5*E_(r,:);
+ end
+
+ end
+
+ end
+
+ % transform back to surface and calculate MSE
+
+ E_ *= qstepdB;
+ surf_ = idct(E_')';
+
+ error = surf_ - surf;
+ mse = mean(mean(error(1:dec:end,:) .^ 2));
+
+ figure(1); clf;
+ [nr nc] = size(error);
+ nr = min(nr,300);
+ mesh(error(1:dec:nr,:))
+
+ figure(2);
+ subplot(122,"position",[0.7 0.05 0.25 0.85])
+ hist(mean(error(1:dec:end,:).^2,2));
+ subplot(121,"position",[0.1 0.05 0.5 0.85])
+ plot(mean(error(1:dec:end,:).^2,2));
+ title('Mean squared error per frame');
+
+ figure(3);
+ subplot(122,"position",[0.7 0.05 0.25 0.9])
+ hist(Nbits_log(1:dec:end));
+ subplot(121,"position",[0.1 0.05 0.5 0.9])
+ plot(diff_flag(1:dec:end)*10,'b;diff flag;'); hold on; plot(Nbits_log(1:dec:end),'g;Nbits/fr;'); hold off;
+
+ printf("mse: %4.2f dB^2 mean bits/frame: %3.1f mean bits/sym: %3.1f\n", mse, mean(Nbits_log(1:dec:end)), Tbits/Nsyms);
+endfunction
+
+
+% Returns a quantised surface from matrix of bist streams for each frame
+
+function surf_ = huffman_decode_surf(K=34, qstepdB=6, max_dcts=18, symbols, huff, bits_surf, dc)
+ dec = 2;
+ [nr tmp] = size(bits_surf);
+
+ printf("K: %d nr: %d qstepdB: %3.2f max_dcts: %d\n", K, nr, qstepdB, max_dcts);
+
+ % limit num DCTs we encode (nc) to less than K to save bits, high
+ % order DCTs tend to be small
+
+ nc = K;
+ if max_dcts
+ nc = max_dcts+1;
+ printf("cols 2 to %d (%d total)\n", nc, nc-2+1);
+ end
+
+ prev_row = zeros(1,nc);
+ Tbits = Nsyms = 0;
+ E_dec = zeros(nr,K);
+
+ % decode each row
+
+ for r=1:dec:nr
+ bits_direct_row = []; bits_diff_row = []; Nbits_direct = 0; Nbits_diff = 0;
+
+ % DC is quantised externally
+
+ E_dec(r,1) = dc(r);
+
+ % huffman bitstream decoder
+
+ bits_dec = bits_surf{r};
+ [s_dec error_flag] = huffman_decode_bitstream(symbols, huff, bits_dec(2:end));
+ row_dec = zeros(1,nc);
+ row_dec(2:length(s_dec)+1) = s_dec;
+ if bits_dec(1)
+ E_dec(r,2:nc) = row_dec(2:nc);
+ else
+ E_dec(r,2:nc) = row_dec(2:nc) + prev_row(2:nc);
+ end
+
+ % update memory for diff decoder
+
+ if r >=3
+ prev_row = E_dec(r,1:nc);
+
+ % if we are decimating, interpolate DCTs to get original frame rate
+
+ if dec == 2
+ E_dec(r-1,:) = 0.5*E_dec(r-2,:) + 0.5*E_dec(r,:);
+ end
+ end
+
+ end
+
+ % transform back to surface and calculate MSE
+
+ E_dec *= qstepdB;
+ surf_ = idct(E_dec')';
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/newamp2_batch.m b/libcodec2-android/src/codec2/octave/newamp2_batch.m
new file mode 100644
index 0000000..8764099
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp2_batch.m
@@ -0,0 +1,990 @@
+% newamp2_batch.m
+%
+% Copyright David Rowe 2018
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+
+#{
+
+ Octave script to batch process model parameters using the new
+ amplitude model, version 2. Outputs another set of model parameters
+ that can be fed to c2sim for listening tests. The companion
+ newamp2_fbf.m script is used to visualise the processing frame by frame
+
+ c2sim -> dump files -> newamp1_batch.m -> output model params -> c2sim -> play
+
+ Usage:
+
+ build codec2 with -DDUMP - see codec2-dev/README, then:
+
+ ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --dump hts1a
+ $ cd ~/codec2-dev/octave
+ octave:14> newamp2_batch("../build_linux/src/hts1a")
+ ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --pahw hts1a -o - | aplay -f S16
+
+ 1/ Bit stream development:
+
+ $ ./c2sim ../../raw/vk5qi.raw --framelength_s 0.0125 --dump vk5qi_l --phase0 --lpc 10 --dump_pitch_e vk5qi_l_pitche.txt
+ octave:526> newamp2_batch("../build_linux/src/vk5qi_l","output_prefix","../build_linux/src/vk5qi_l_dec", "mode", "encdec");
+ $ ./c2sim ../../raw/vk5qi.raw --framelength_s 0.0125 --pahw vk5qi_l_dec --hand_voicing vk5qi_l_dec_v.txt -o - | play -t raw -r 8000 -s -2 -
+
+ 2/ Generate a bit stream file:
+
+ octave:101> newamp2_batch("../build_linux/src/vk5qi_l","no_output","mode", "enc", "bitstream", "vk5qi_2200_enc.c2");
+
+ 3/ Decode a bit stream file:
+
+ octave:101> newamp2_batch("../build_linux/src/vk5qi_l","output_prefix","../build_linux/src/vk5qi_l_decbs", "mode", "dec", "bitstream", "vk5qi_2200_enc.c2");
+ ./c2sim ../../raw/vk5qi.raw --framelength_s 0.0125 --pahw vk5qi_l_decbs --hand_voicing vk5qi_l_decbs_v.txt -o - | play -t raw -r 8000 -s -2 -
+
+ DCT based HQ/200 Candidate D (Sep 2018):
+
+ 1/ (h and s) trained:
+
+ load train120_surf.mat
+ newamp2; [s h] = design_huffman_enc(train120_surf, qstepdB=6, max_dcts=18);
+
+ 2/ Quantise all:
+
+ all_surf_l = newamp2_batch("../build_linux/src/all_l", "output_prefix", "../build_linux/src/all_surf_l", "mode", "linear");
+ newamp2; s_ = huffman_encode_surf(all_surf_l(:,2:35), qstepdB=6, max_dcts=20, max_bits=45, s, h);
+ all_surf_l_ = all_surf_l; all_surf_l_(:,:) = 0; all_surf_l_(:,2:35)=s_;
+ ewamp2_batch("../build_linux/src/all_l", "output_prefix", "../build_linux/src/all_surf_l_45a", "mode", "linear", "surf_in", all_surf_l_);
+ $ ./c2sim ../../wav/all.wav --framelength_s 0.0125 --pahw all_surf_l_45a -o - | aplay -f S16_LE
+
+ 3/ Testing huffman encoder and decoder:
+
+ newamp2; [s_ dc bits] = huffman_encode_surf(hts2a_surf_l(:,2:35), qstepdB=6, max_dcts=20, max_bits=45, s, h);
+ newamp2; s_dec = huffman_decode_surf(34, qstepdB=6, max_dcts=20, s, h, bits, dc);
+
+#}
+
+
+function surface = newamp2_batch(input_prefix, varargin)
+ newamp2;
+ more off;
+
+ max_amp = 160; Fs = 8000;
+
+ % defaults
+
+ synth_phase = output = 1;
+ output_prefix = input_prefix;
+ mode = "linear";
+ correct_rate_K_en = 0; quant = ""; vq_en = 0; M = 1; mask_en = 0;
+ surface_in_en = 0;
+
+ % parse variable argument list
+
+ if (length (varargin) > 0)
+
+ % check for the "output_prefix" option
+
+ ind = arg_exists(varargin, "output_prefix");
+ if ind
+ output_prefix = varargin{ind+1};
+ end
+
+ ind = arg_exists(varargin, "mode");
+ if ind
+ mode = varargin{ind+1};
+ end
+
+ ind = arg_exists(varargin, "bitstream");
+ if ind
+ bitsream_filename = varargin{ind+1};
+ end
+
+ ind = arg_exists(varargin, "no_output");
+ if ind
+ output = 0;
+ synth_phase = 0;
+ end
+
+ if arg_exists(varargin, "deltaf")
+ quant = "deltaf";
+ end
+ if arg_exists(varargin, "dct")
+ quant = "dct";
+ end
+ if arg_exists(varargin, "dtlimit")
+ quant = "dtlimit";
+ end
+ if arg_exists(varargin, "step")
+ quant = "step";
+ end
+
+ ind = arg_exists(varargin, "vq");
+ if ind
+ quant = "vq";
+ vq_en = 1; vq_name = varargin{ind+1}; vq_st = varargin{ind+2}; vq_en = varargin{ind+3};
+ end
+
+ ind = arg_exists(varargin, "M");
+ if ind
+ M = varargin{ind+1};
+ end
+
+ ind = arg_exists(varargin, "mask");
+ if ind
+ mask_en = 1;
+ error_filename = varargin{ind+1};
+ end
+
+ correct_rate_K_en = arg_exists(varargin, "correct_rate_K");
+
+ ind = arg_exists(varargin, "surf_in");
+ if ind
+ surface_in_en = 1;
+ surface_in = varargin{ind+1};
+ end
+
+ end
+
+ printf("output: %d", output);
+ if (output)
+ printf(" output_prefix: %s", output_prefix);
+ end
+ printf(" mode: %s", mode);
+ printf(" correct_rate_K: %d quant: %s vq_en: %d M: %d\n", correct_rate_K_en, quant, vq_en, M);
+ if vq_en
+ printf("vq_name: %s vq_st: %d vq_en: %d\n", vq_name, vq_st, vq_en);
+ end
+ if surface_in_en
+ printf("surface_in_en: %d\n", surface_in_en);
+ end
+
+ model_name = strcat(input_prefix,"_model.txt");
+ model = load(model_name);
+ [frames nc] = size(model);
+ printf("frames: %d\n", frames);
+
+ voicing_name = strcat(input_prefix,"_pitche.txt");
+ voicing = zeros(1,frames);
+
+ if exist(voicing_name, "file") == 2
+ printf("loading: %s\n", voicing_name);
+ pitche = load(voicing_name);
+ voicing = pitche(:, 3);
+ end
+
+ % Choose experiment to run test here -----------------------
+
+ if (strcmp(mode,"linear") || strcmp(mode,"mel")) && !surface_in_en
+ args.resampler = mode;
+
+ vqs.en=vq_en;
+ if vq_en
+ load(vq_name);
+ vqs.st=vq_st;vqs.m=5;
+ vqs.table = avq;
+ end
+ args.vq = vqs;
+ args.quant = quant;
+ args.correct_rate_K_en = correct_rate_K_en;
+ args.M = M;
+ args.plots = 1;
+ [model_ surface sd_log] = experiment_resample(model, args);
+ end
+
+ # resample a linear surface, used to test deep learning ideas
+
+ if strcmp(mode,"linear") && surface_in_en
+ [model_ surface] = resample_surf(model, surface_in);
+ end
+
+ # combined bitstream encoded and decoder for development
+
+ if strcmp(mode,"encdec")
+ [bits rate_K_surface_] = candc_encoder(model, voicing);
+ [model_ voicing_ rate_K_surface_dec_] = candc_decoder(bits);
+ if exist("voicing_", "var")
+ printf("voicing_ exists!\n");
+ end
+ % sanity check - should be a flat surface
+ figure(7);
+ en = 100;
+ X = rate_K_surface_(1:en,:) - rate_K_surface_dec_(1:en,:);
+ mesh(X(1:2:en,:))
+ end
+
+ # stand alone model file -> bit stream file cand C encoder
+
+ if strcmp(mode,"enc")
+ [bits rate_K_surface_] = candc_encoder(model, voicing);
+ fbit = fopen(bitsream_filename,"wb");
+ fwrite(fbit, bits, "uchar");
+ fclose(fbit);
+ end
+
+ # stand alone model file -> bit stream file cand D encoder
+
+ if strcmp(mode,"encd")
+ [bits rate_K_surface_] = candd_encoder(model, voicing);
+ fbit = fopen(bitsream_filename,"wb");
+ fwrite(fbit, bits, "uchar");
+ fclose(fbit);
+ end
+
+ # stand alone bit stream file -> model file decoder
+
+ if strcmp(mode,"dec")
+ fbit = fopen(bitsream_filename,"rb");
+ bits = fread(fbit, "uchar")';
+ fclose(fbit);
+ if mask_en
+ % optional error masking, read in error file, count errors/frame
+ errors_per_codec_frame = count_errors(error_filename);
+ end
+ [model_ voicing_ rate_K_surface_dec_] = candc_decoder(bits, errors_per_codec_frame);
+ figure(1); mesh(rate_K_surface_dec_(1:240,:))
+ end
+
+ if strcmp(mode,"decd")
+ fbit = fopen(bitsream_filename,"rb");
+ bits = fread(fbit, "uchar")';
+ fclose(fbit);
+ errors_per_codec_frame = [];
+ if mask_en
+ % optional error masking, read in error file, count errors/frame
+ errors_per_codec_frame = count_errors(error_filename);
+ end
+ [model_ voicing_ rate_K_surface_dec_] = candd_decoder(bits, errors_per_codec_frame);
+ figure(1); mesh(rate_K_surface_dec_(1:240,:))
+ end
+
+ % ----------------------------------------------------
+
+ if output
+ Am_out_name = sprintf("%s_am.out", output_prefix);
+ fam = fopen(Am_out_name,"wb");
+
+ Wo_out_name = sprintf("%s_Wo.out", output_prefix);
+ fWo = fopen(Wo_out_name,"wb");
+
+ if synth_phase
+ Hm_out_name = sprintf("%s_hm.out", output_prefix);
+ fhm = fopen(Hm_out_name,"wb");
+ end
+
+ for f=1:frames
+ printf("%d\r", f);
+ Wo = model_(f,1); L = min([model_(f,2) max_amp-1]); Am = model_(f,3:(L+3));
+ if Wo*L > pi
+ printf("Problem: %d Wo*L > pi Wo: %f F0: %f L: %d Wo*L: %f\n", f, Wo, Wo*Fs/(2*pi), L, Wo*L);
+ end
+
+ Am_ = zeros(1,max_amp); Am_(2:L+1) = Am(1:L); fwrite(fam, Am_, "float32");
+ fwrite(fWo, Wo, "float32");
+
+ if synth_phase
+
+ % synthesis phase spectra from magnitiude spectra using minimum phase techniques
+
+ fft_enc = 128;
+ phase = determine_phase(model_, f, fft_enc);
+ assert(length(phase) == fft_enc);
+
+ % sample phase at centre of each harmonic, not 1st entry Hm(1:2) in octave Hm[0] in C
+ % is not used
+
+ Hm = zeros(1, 2*max_amp);
+ for m=1:L
+ b = round(m*Wo*fft_enc/(2*pi));
+ Hm(2*m+1) = cos(phase(b));
+ Hm(2*m+2) = sin(phase(b));
+ end
+ fwrite(fhm, Hm, "float32");
+ end
+ end
+
+ fclose(fam);
+ fclose(fWo);
+ if synth_phase
+ fclose(fhm);
+ end
+
+ % save voicing file
+
+ if exist("voicing_", "var") && output
+ v_out_name = sprintf("%s_v.txt", output_prefix);
+ printf("writing: %s\n", v_out_name);
+ fv = fopen(v_out_name,"wt");
+ for f=1:length(voicing_)
+ fprintf(fv,"%d\n", voicing_(f));
+ end
+ fclose(fv);
+ end
+ end
+
+ printf("\n")
+
+endfunction
+
+
+function ind = arg_exists(v, str)
+ ind = 0;
+ for i=1:length(v)
+ if !ind && strcmp(v{i}, str)
+ ind = i;
+ end
+ end
+endfunction
+
+
+% Basic unquantised rate K sampling (mel or linear) then back to rate L
+
+function [model_ rate_K_surface_ sd_log delta_K] = experiment_resample(model, args)
+ [frames nc] = size(model);
+ K = 20; Fs = 8000;
+ AmdB = zeros(frames, 160);
+ melvq;
+
+ resampler = args.resampler;
+ quant = args.quant;
+ vq = args.vq;
+ plots = args.plots;
+ correct_rate_K_en = args.correct_rate_K_en;
+ M = args.M;
+
+ if strcmp(resampler, "mel")
+ K = 20;
+ end
+ if strcmp(resampler, "linear")
+ K = 40; step = (Fs/2000)/K;
+ rate_K_sample_freqs_kHz = [0.1:step:4];
+ K = length(rate_K_sample_freqs_kHz);
+ end
+
+ rate_K_surface = rate_K_surface_ = zeros(frames, K);
+
+ for f=1:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ energy_L(f) = sum(Am.^2);
+ AmdB(f,1:L) = 20*log10(Am);
+ Am_freqs_kHz = (1:L)*Wo*Fs/(2000*pi);
+ if strcmp(resampler, "mel")
+ [rate_K_vec rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model(f,:), K, Fs, 'lanc');
+ end
+ if strcmp(resampler, "linear")
+ rate_K_vec = resample_const_rate_f(model(f,:), rate_K_sample_freqs_kHz, Fs, 'lanc');
+ end
+ rate_K_vec_lin = 10 .^ (rate_K_vec/20);
+ energy_K(f) = sum(rate_K_vec_lin .^ 2);
+ #g = sqrt(energy_L(f)./energy_K(f));
+ #rate_K_vec_lin *= g;
+ energy_K(f) = sum(rate_K_vec_lin .^ 2);
+
+ if correct_rate_K_en
+ [tmp_ AmdB_] = resample_rate_L(model(f,:), rate_K_vec, rate_K_sample_freqs_kHz, Fs, 'lancmel');
+ [rate_K_vec_corrected orig_error error nasty_error_log nasty_error_m_log] = correct_rate_K_vec(rate_K_vec, rate_K_sample_freqs_kHz, AmdB, AmdB_, K, Wo, L, Fs);
+ rate_K_surface(f,:) = rate_K_vec_corrected;
+ else
+ rate_K_surface(f,:) = rate_K_vec;
+ end
+ end
+
+ % Whole thing is quantised to 6dB steps, as that doesn't seem to
+ % introduce much distortion
+
+ if strcmp(quant,"step");
+ rate_K_surface_ = 6*round(rate_K_surface/6);
+ end
+
+ % experiment to limit frame by frame changes, this will make quantisation easier
+
+ if strcmp(quant,"dtlimit");
+ rate_K_surface_prev_ = zeros(1,K);
+ delta_K_log = zeros(frames,K);
+
+ for f=1:M:frames
+
+ % find delta
+
+ delta_K = rate_K_surface(f,:) - rate_K_surface_prev_;
+
+ % limit to -6,0,+6 dB
+
+ delta_K = 6*round(delta_K/6);
+ delta_K = min(delta_K, +12);
+ delta_K = max(delta_K, -12);
+
+ % optional VQ
+
+ if nargin == 5
+ [res output_vec ind] = mbest(vq.table, delta_K(:,vq.st:vq.en), vq.m);
+ delta_K(:,vq.st:vq.en) = output_vec;
+ end
+
+ rate_K_surface_prev_ += delta_K;
+ rate_K_surface_(f,:) = rate_K_surface_prev_;
+ delta_K_log(f,:) = delta_K;
+ end
+ end
+
+ % encoding of delata_f, also limits delta_f changes, (hopefully) making quantisation easier
+
+ E_log = [];
+ if strcmp(quant,"deltaf");
+ for f=1:M:frames
+
+ % used to gather stats for frame energy
+
+ E = 6*round(rate_K_surface(f,3)/6);
+ E_log = [E_log E/6];
+
+ % Determine frame energy as k=3 sample and quantise From looking
+ % at values from all.wav it looks like 4 bits is enough
+
+ levels = (0:15)*6;
+ [E_ E_index] = quantise(levels, rate_K_surface(f,3));
+
+ [rate_K_surface_(f,:) spec_mag_bits] = deltaf_quantise_rate_K_huff(rate_K_surface(f,:), E_, 44);
+
+ # test of decoder
+
+ dec_rate_K_surface_ = deltaf_decode_rate_K_huff(spec_mag_bits, E_, K, 44);
+ assert (rate_K_surface_(f,:) == dec_rate_K_surface_);
+
+ # quantise pitch
+
+ Wo = model(f,1);
+ Wo_index = encode_log_Wo(Wo, 7);
+
+ #{
+ TODO:
+ [ ] save to bits file
+ [ ] reconsruct frame here from indexes
+ [ ] compare results
+ [ ] then refactor into sep enc and dec functions,make sure identical results
+ #}
+
+ % printf("length: %d\n", length(bits));
+
+ #{
+ % add some experimental random noise of +/- one entry to simulate discrete gain-shape
+ % VQ errors. Make sure we choose a different position for each error. used during VQ
+ % development that didn't quite make it ....
+
+ kmax=20;
+ krecord = zeros(1,kmax);
+ for i=1:4
+ k = ceil(kmax*rand(1,1));
+ while krecord(k)
+ k = ceil(kmax*rand(1,1));
+ end
+ val = 6-12*floor(2*rand(1,1));
+ krecord(k) = val;
+ rate_K_surface_(f,k) += val;
+ %printf("f: %d k: %d val: %d\n", f, k, val);
+ end
+ krecord
+ #}
+ end
+ end
+
+ if strcmp(quant,"dct");
+ for f=1:M:frames
+ rate_K_surface_(f,:) = dct_quantise_rate_K(rate_K_surface(f,:));
+ end
+ end
+ if strcmp(quant,"");
+ rate_K_surface_ = rate_K_surface;
+ end
+
+ if strcmp(quant,"vq")
+ % use orig for samples we don't quantise
+ rate_K_surface_ = rate_K_surface;
+
+ size(vq.table)
+ target = rate_K_surface(:,vq.st:vq.en);
+ [res output_vecs ind] = mbest(vq.table, target, vq.m);
+ rate_K_surface_(:,vq.st:vq.en) = output_vecs;
+ end
+
+ % optional interpolation, if decimation M > 1
+
+ if M > 1
+ for f=1:M:frames-M
+ left_f = f; right_f = f+M;
+ %printf("%d %d\n", left_f, right_f);
+ left_vec = rate_K_surface_(left_f, :); right_vec = rate_K_surface_(right_f, :);
+ sample_points = [left_f right_f];
+ resample_points = left_f+1:right_f-1;
+ for k=1:K
+ rate_K_surface_(resample_points, k) = interp_linear(sample_points, [left_vec(k) right_vec(k)], resample_points);
+ end
+ end
+ rate_K_surface_(frames-M+1:frames,:) = rate_K_surface_(frames-M,1);
+ end
+
+ if plots
+ en = min(100, length(rate_K_surface_));
+ st = en-49;
+ figure(1); clf; mesh(rate_K_surface_(st:en,:)); ylabel('time'); xlabel('Mel freq');
+ end
+
+ % back to rate L
+
+ if strcmp(resampler, "mel")
+ [model_ AmdB_ ] = resample_rate_L(model, rate_K_surface_, rate_K_sample_freqs_kHz, Fs, 'lancmel');
+ end
+ if strcmp(resampler, "linear")
+ [model_ AmdB_ ] = resample_rate_L(model, rate_K_surface_, rate_K_sample_freqs_kHz, Fs, 'lanc');
+ end
+ for f=1:frames
+ Wo = model_(f,1);
+ L = model_(f,2);
+ Am_ = model_(f,3:(L+2));
+ energy_L_(f) = sum(Am_.^2);
+ end
+
+ % calculate SD
+
+ sd_log = []; energy_log = [];
+ for f=1:frames
+ L = model(f,2);
+ asd = std(AmdB(f,1:L) - AmdB_(f,1:L));
+ energy_log = [energy_log mean(AmdB(f,1:L))];
+ sd_log = [sd_log asd];
+ end
+
+ if plots
+ figure(2); clf; l = length(sd_log); ax=plotyy((1:l),sd_log,(1:l),energy_log);
+ title('SD againstframe'); xlabel('Frame'); ylabel (ax(1), "SD"); ylabel (ax(2), "Energy");
+
+ figure(3); clf; plot(hist(sd_log)); title('SD histogram');
+ figure(4); clf; plot(energy_log, sd_log, '+'); title('Scatter of SD against energy');
+ xlabel('Energy'); ylabel('SD'); axis([-10 60 0 7]);
+
+ figure(5);
+ plot(10*log10(energy_L)); hold on;
+ plot(10*log10(energy_K),"g"); plot(10*log10(energy_L_),"r+"); hold off;
+ end
+
+ % return delta_K for training
+
+ if strcmp(quant,"dtlimit")
+ rate_K_surface_ = delta_K_log;
+ l = min(100, length(rate_K_surface_));
+ figure(5); clf; mesh(rate_K_surface_(1:l,:));
+ end
+
+ % this code useful to explore outliers, adjust threshold based on plot(sd_log)
+
+ plot_outliers = 0;
+ if plot_outliers && (asd > 7)
+ for f=1:frames
+ L = model(f,2);
+ figure; plot(AmdB(f,1:L), 'b+-'); hold on; plot(AmdB_(f,1:L), 'r+-'); hold off;
+ end
+ end
+ printf("mean SD %4.2f\n", mean(sd_log));
+ printf("Emin: %f Emax: %f\n", min(E_log), max(E_log));
+
+ #{
+ % Plot E stats, by viewing these decided on 4 bit/frame for energy
+
+ if length(E_log)
+ figure(5);
+ plot(E_log)
+ figure(6);
+ hist(E_log);
+ end
+ #}
+endfunction
+
+
+% Takes surface as input, back to model_, for deep learning experiments
+
+function [model_ rate_K_surface_ sd_log delta_K] = resample_surf(model, rate_K_surface_)
+ Fs = 8000;
+
+ K = 40; step = (Fs/2000)/K;
+ rate_K_sample_freqs_kHz = [0.1:step:4];
+ K = length(rate_K_sample_freqs_kHz);
+
+ % back to rate L
+
+ [model_ AmdB_ ] = resample_rate_L(model, rate_K_surface_, rate_K_sample_freqs_kHz, Fs, 'lanc');
+endfunction
+
+
+% Candidate C, model to bit-stream encoder
+
+function [bits rate_K_surface_] = candc_encoder(model, voicing)
+ newamp2_const;
+ [frames nc] = size(model);
+ AmdB = zeros(frames, max_amp);
+ bits = [];
+
+ rate_K_surface = rate_K_surface_ = zeros(frames, K);
+
+ for f=1:M:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ AmdB(f,1:L) = 20*log10(Am);
+ Am_freqs_kHz = (1:L)*Wo*Fs/(2000*pi);
+ [rate_K_vec rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model(f,:), K, Fs, 'lanc');
+ rate_K_surface(f,:) = rate_K_vec;
+ end
+
+ for f=1:M:frames
+
+ % Determine frame energy as k=3 sample and quantise From looking
+ % at values from all.wav it looks like 4 bits is enough
+
+ levels = (0:15)*6;
+ [E_ E_index] = quantise(levels, rate_K_surface(f,3));
+ E_bits = index_to_bits(E_index-1, 4);
+ [rate_K_surface_(f,:) spec_mag_bits] = deltaf_quantise_rate_K_fixed(rate_K_surface(f,:), E_, 44);
+
+ # quantise pitch
+
+ Wo = model(f,1);
+ Wo_index = encode_log_Wo(Wo, 7);
+ Wo_bits = index_to_bits(Wo_index, 7);
+
+ # pack bits
+
+ bits_frame = [Wo_bits E_bits voicing(f) spec_mag_bits ];
+ bits = [bits bits_frame];
+
+ if f < 10
+ printf("f: %d Wo: %2d E: %d %2.0f v: %d\n", f, Wo_index, E_index, E_, voicing(f));
+ end
+ end
+
+endfunction
+
+
+% Candidate C, bit stream to model decoder
+
+function [model_ voicing rate_K_surface_] = candc_decoder(bits, errors_per_codec_frame=[], ber = 0.0)
+ newamp2_const;
+ rows = floor(length(bits)/Nbitspercodecframe);
+ frames = rows*M;
+
+ rate_K_surface_ = zeros(frames, K);
+ model_ = zeros(frames, max_amp+2);
+ voicing = zeros(1,frames);
+ rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K, 100, 0.95*Fs/2);
+ Tbits = Terrs = 0;
+ abits = zeros(1, Nbitspercodecframe);
+ Nerrs = 0; av_level = 1;
+
+ level_log = level_adj_log = [];
+
+ error_thresh = 0;
+
+ r = 1;
+ for f=1:M:frames
+ abits = bits(1:Nbitspercodecframe);
+ bits = bits(Nbitspercodecframe+1:end);
+
+ % optional insertion of bit errors for testing
+
+ if ber > 0.0
+ [abits(13:56) nerr] = insert_bit_error(abits(13:56), 0.00);
+ Terrs += nerr;
+ Tbits += 45;
+ end
+
+ % extract information from bit stream
+
+ spec_mag_bits = abits(13:Nbitspercodecframe);
+ E_bits = abits(8:11);
+ Wo_bits = abits((1:7));
+ voicing(f) = abits(12);
+ Wo_index = bits_to_index(Wo_bits, 7);
+ Wo_ = decode_log_Wo(Wo_index, 7); L_ = floor(pi/Wo_);
+ E_index = bits_to_index(E_bits, 4);
+ E_ = E_index*6;
+
+ #{
+ if f < 10
+ printf("f: %d Wo: %2d E: %d %2.0f v: %d\n", f, Wo_index, E_index+1, E_, voicing(f));
+ end
+ #}
+
+ % decode into rate K vec
+
+ rate_K_surface_(f,:) = deltaf_decode_rate_K_fixed(spec_mag_bits, E_, K, 44);
+
+ level = max(rate_K_surface_(f,:));
+ level_log = [level_log level];
+
+ if length(errors_per_codec_frame) >= r
+ Nerrs = errors_per_codec_frame(r);
+ end
+
+ if Nerrs > error_thresh
+ % if errors, want to avoid loud cracks, but we also don't want to simply mute. So
+ % adjust level to match recent average, and let that decay if long stream of error
+ % frames to gradually mute.
+
+ adjustment = av_level/level;
+ if adjustment < 1
+ rate_K_surface_(f,:) *= adjustment;
+ printf("f: %3d r: %3d e: %2d level: %3.1f av_level: %3.1f adjust: %3.2f\n", f,r,Nerrs, level, av_level, adjustment);
+ end
+ av_level = av_level*0.9;
+ else
+ % update average level
+ av_level = av_level*0.9 + level*0.1;
+ printf("f: %3d r: %3d e: %2d level: %3.1f av_level: %3.1f\n", f,r,Nerrs, level, av_level);
+ end
+
+ level = max(rate_K_surface_(f,:));
+ level_adj_log = [level_adj_log level];
+
+ model_(f,1) = Wo_; model_(f,2) = L_;
+ r++;
+ end
+
+ if length(errors_per_codec_frame)
+ figure(3); clf; nplot = 80*3;
+ subplot(211,"position",[0.1 0.8 0.8 0.15]);
+ plot(errors_per_codec_frame(1:nplot))
+ subplot(212,"position",[0.1 0.05 0.8 0.7]);
+ plot(level_log(1:nplot),'b'); hold on; plot(level_adj_log(1:nplot),'g+'); hold off;
+ end
+
+ if ber > 0.0
+ printf("Tbits: %d Terrs: %d BER: %4.3f\n", Tbits, Terrs, Terrs/Tbits);
+ end
+
+ % interpolation in time
+
+ for f=1:M:frames-M
+
+ % interpolate rate K ampl samples
+
+ left_f = f; right_f = f+M;
+ left_vec = rate_K_surface_(left_f, :); right_vec = rate_K_surface_(right_f, :);
+ sample_points = [left_f right_f];
+ assert(M==2);
+ resample_point = left_f+1;
+ for k=1:K
+ rate_K_surface_(resample_point, k) = interp_linear(sample_points, [left_vec(k) right_vec(k)], resample_point);
+ end
+
+ % interpolate Wo and voicing
+
+ Wo_ = 2*pi/160; v = 0;
+ if voicing(left_f) && voicing(right_f)
+ Wo_ = (model_(left_f,1) + model_(right_f,1))/2;
+ v = 1;
+ end
+ L_ = floor(pi/Wo_);
+ model_(resample_point,1) = Wo_; model_(resample_point,2) = L_;
+ voicing(resample_point) = v;
+ end
+ rate_K_surface_(frames-M+1:frames,:) = rate_K_surface_(frames-M,1);
+ model_(frames-M+1:frames,1) = model_(frames-M,1);
+ model_(frames-M+1:frames,2) = model_(frames-M,2);
+
+ % back to rate L amplitude samples
+
+ model_ = resample_rate_L(model_, rate_K_surface_, rate_K_sample_freqs_kHz, Fs, 'lancmel');
+
+endfunction
+
+
+function [bits nerrs] = insert_bit_error(bits, ber)
+ newamp2_const;
+ p = rand(1,length(bits));
+ error_mask = p < ber;
+ bits = xor(bits, error_mask);
+ nerrs = sum(error_mask);
+endfunction
+
+
+% Counts errors in protected bits. Simulates failure of FEC to decode, which
+% we can detect
+
+function errors_per_codec_frame = count_errors(error_filename)
+ newamp2_const;
+ ferr = fopen(error_filename,"rb");
+ errors = fread(ferr, "uchar")';
+ fclose(ferr);
+ frames = floor(length(errors)/Nbitspercodecframe)
+ errors_per_codec_frame = zeros(1,frames);
+ for f=1:frames
+ st = (f-1)*Nbitspercodecframe + 1; en = st + Nprotectedbitspercodecframe - 1;
+ errors_per_codec_frame(f) = sum(errors(st:en));
+ end
+ figure(2);
+ plot(errors_per_codec_frame);
+endfunction
+
+
+% Candidate D (Huffman encoded DCTs), model to bit-stream encoder. Note rate_K_surface
+% is returned without energy being quantised, so not quite the same as decoder output.
+
+function [bits rate_K_surface_] = candd_encoder(model, voicing)
+ newamp2_candd_const;
+ [frames nc] = size(model);
+ AmdB = zeros(frames, max_amp);
+ bits = [];
+ load huffman.mat;
+
+ rate_K_surface = rate_K_surface_ = zeros(frames, K);
+
+ % extract vectors from model file and convert rate L amplitude samples to fixed rate K
+
+ step = (Fs/2000)/K;
+ rate_K_sample_freqs_kHz = [0.1:step:4];
+
+ for f=1:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ AmdB(f,1:L) = 20*log10(Am);
+ Am_freqs_kHz = (1:L)*Wo*Fs/(2000*pi);
+ [rate_K_vec rate_K_sample_freqs_kHz] = resample_const_rate_f(model(f,:), rate_K_sample_freqs_kHz, Fs, 'lanc');
+ rate_K_surface(f,:) = rate_K_vec;
+ end
+
+ % huffman encode rate K amplitude samples
+
+ [s_ dc spec_mag_bits] = huffman_encode_surf(rate_K_surface(:,2:35), qstepdB=6, max_dcts=20, max_bits=44, s, h);
+ rate_K_surface_(:, 2:35) = s_;
+
+ for f=1:dec:frames
+
+ % Determine frame energy from DCT DC value. Looking at values from
+ % all.wav it looks like 4 bits over 0 to 60dB is enough
+
+ levels = (0:15)*4;
+ [E_ E_index] = quantise(levels, dc(f));
+ E_bits = index_to_bits(E_index-1, 4);
+
+ # quantise pitch
+
+ Wo = model(f,1);
+ Wo_index = encode_log_Wo(Wo, 7);
+ Wo_bits = index_to_bits(Wo_index, 7);
+
+ # pack bits
+
+ bits_frame = [Wo_bits E_bits voicing(f) spec_mag_bits{f}];
+ bits = [bits bits_frame];
+
+ if (f > 20) && (f < 30)
+ printf("f: %3d Wo: %2d E: %2d %2.0f v: %d\n", f, Wo_index, E_index, E_, voicing(f));
+ end
+ end
+
+ figure(1); clf; mesh(rate_K_surface_);
+endfunction
+
+
+% Candidate D, bit stream to model decoder
+
+function [model_ voicing rate_K_surface_] = candd_decoder(bits, errors_per_codec_frame=[], ber = 0.0)
+ newamp2_candd_const;
+ load huffman.mat;
+ rows = floor(length(bits)/Nbitspercodecframe);
+ frames = rows*dec;
+
+ rate_K_surface_ = zeros(frames, K);
+ model_ = zeros(frames, max_amp+2);
+ voicing = zeros(1,frames);
+ step = (Fs/2000)/K;
+ rate_K_sample_freqs_kHz = [0.1:step:4];
+ Tbits = Terrs = 0;
+ abits = zeros(1, Nbitspercodecframe);
+ Nerrs = 0; av_level = 1;
+ spec_mag_bits = cell(frames,1);
+ level_log = level_adj_log = [];
+ E = zeros(1,frames);
+
+ error_thresh = 0;
+
+ r = 1;
+ for f=1:dec:frames
+ abits = bits(1:Nbitspercodecframe);
+ bits = bits(Nbitspercodecframe+1:end);
+
+ % optional insertion of bit errors for testing
+
+ if ber > 0.0
+ [abits(13:56) nerr] = insert_bit_error(abits(13:56), 0.00);
+ Terrs += nerr;
+ Tbits += 45;
+ end
+
+ % extract information from bit stream
+
+ spec_mag_bits{f} = abits(13:Nbitspercodecframe);
+ E_bits = abits(8:11);
+ Wo_bits = abits((1:7));
+ voicing(f) = abits(12);
+ Wo_index = bits_to_index(Wo_bits, 7);
+ Wo_ = decode_log_Wo(Wo_index, 7); L_ = floor(pi/Wo_);
+ E_index = bits_to_index(E_bits, 4);
+ E_(f) = E_index*4;
+
+ if (f > 20) && (f < 30)
+ printf("f: %d Wo: %2d E: %d %2.0f v: %d\n", f, Wo_index, E_index+1, E_(f), voicing(f));
+ end
+
+ model_(f,1) = Wo_; model_(f,2) = L_;
+ r++;
+ end
+
+ % decode into rate K vec
+ % TODO: make this frame by frame and run in loop above
+
+ s_ = huffman_decode_surf(K=34, qstepdB=6, max_dcts=20, s, h, spec_mag_bits, E_);
+ rate_K_surface_(:,2:35) = s_;
+
+ if length(errors_per_codec_frame)
+ figure(3); clf; nplot = 80*3;
+ subplot(211,"position",[0.1 0.8 0.8 0.15]);
+ plot(errors_per_codec_frame(1:nplot))
+ subplot(212,"position",[0.1 0.05 0.8 0.7]);
+ plot(level_log(1:nplot),'b'); hold on; plot(level_adj_log(1:nplot),'g+'); hold off;
+ end
+
+ if ber > 0.0
+ printf("Tbits: %d Terrs: %d BER: %4.3f\n", Tbits, Terrs, Terrs/Tbits);
+ end
+
+ % interpolation in time
+
+ for f=1:dec:frames-dec
+
+ % interpolate rate K ampl samples
+
+ left_f = f; right_f = f+dec;
+ sample_points = [left_f right_f];
+ assert(dec==2);
+ resample_point = left_f+1;
+
+ % interpolate Wo and voicing
+
+ Wo_ = 2*pi/160; v = 0;
+ if voicing(left_f) && voicing(right_f)
+ Wo_ = (model_(left_f,1) + model_(right_f,1))/2;
+ v = 1;
+ end
+ L_ = floor(pi/Wo_);
+ model_(resample_point,1) = Wo_; model_(resample_point,2) = L_;
+ voicing(resample_point) = v;
+ end
+ rate_K_surface_(frames-dec+1:frames,:) = rate_K_surface_(frames-dec,1);
+ model_(frames-dec+1:frames,1) = model_(frames-dec,1);
+ model_(frames-dec+1:frames,2) = model_(frames-dec,2);
+
+ % back to rate L amplitude samples
+
+ model_ = resample_rate_L(model_, rate_K_surface_, rate_K_sample_freqs_kHz, Fs, 'lanc');
+
+ figure(2); clf; mesh(rate_K_surface_);
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/newamp2_candd_const.m b/libcodec2-android/src/codec2/octave/newamp2_candd_const.m
new file mode 100644
index 0000000..992b671
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp2_candd_const.m
@@ -0,0 +1,10 @@
+% newamp2_candd_const.m
+% Constants for newamp2 candidate D prototype codec
+
+Fs = 8000; % sample rate
+max_amp = 160; % maximum number of rate L samples (time varying basedon Wo)
+K = 40; % number of samples after interpolation to fixed rate K
+dec = 2; % decimation rate from codec processing frame rate
+
+Nbitspercodecframe = 56;
+
diff --git a/libcodec2-android/src/codec2/octave/newamp2_const.m b/libcodec2-android/src/codec2/octave/newamp2_const.m
new file mode 100644
index 0000000..18e7fe3
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp2_const.m
@@ -0,0 +1,12 @@
+% newamp2_const.m
+% Constants for newamp2 candidate C prototype codec
+
+Fs = 8000; % sample rate
+max_amp = 160; % maximum number of rate L samples (time varying basedon Wo)
+K = 20; % number of samples after interpolation to fixed rate K
+M = 2; % decimation rate from codec processing frame rate
+
+Nbitspercodecframe = 56;
+Nprotectedbitspercodecframe = 32;
+Nunprotect = Nbitspercodecframe - Nprotectedbitspercodecframe;
+
diff --git a/libcodec2-android/src/codec2/octave/newamp2_fbf.m b/libcodec2-android/src/codec2/octave/newamp2_fbf.m
new file mode 100644
index 0000000..af4a954
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp2_fbf.m
@@ -0,0 +1,186 @@
+% newamp2_fbf.m
+%
+% Copyright David Rowe 2018
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Interactive Octave script to explore frame by frame operation of new amplitude
+% modelling model version 2.
+%
+% Usage:
+% Make sure codec2-dev is compiled with the -DDUMP option - see README for
+% instructions.
+% ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --dump hts1a
+% $ cd ~/codec2-dev/octave
+% octave:14> newamp2_fbf("../build_linux/src/hts1a",50)
+
+
+function newamp2_fbf(samname, f=73, varargin)
+ more off;
+ newamp2;
+ Fs = 8000;
+ mode = "mel"; K = 20; correct_rate_K_en = 0;
+
+ % command line arguments
+
+ ind = arg_exists(varargin, "phase");
+ phase_en = 0;
+ if ind
+ phase_en = 1;
+ end
+
+ % load up text files dumped from c2sim ---------------------------------------
+
+ sn_name = strcat(samname,"_sn.txt");
+ Sn = load(sn_name);
+ sw_name = strcat(samname,"_sw.txt");
+ Sw = load(sw_name);
+ model_name = strcat(samname,"_model.txt");
+ model = load(model_name);
+ [frames tmp] = size(model);
+
+ if phase_en
+ phase_name = strcat(samname,"_phase.txt");
+ phase = load(phase_name);
+ phase_source = 'Am';
+ end
+
+ % Keyboard loop --------------------------------------------------------------
+
+ quant_en = 0;
+ k = ' ';
+ do
+ fg = 1;
+ s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+ figure(fg++); clf; plot(s); axis([1 length(s) -20000 20000]);
+
+ Wo = model(f,1); L = model(f,2); Am = model(f,3:(L+2)); AmdB = 20*log10(Am);
+ Am_freqs_kHz = (1:L)*Wo*4/pi;
+
+ K = 20;
+ [rate_K_vec rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model(f,:), K, Fs, 'lanc');
+ if correct_rate_K_en
+ [tmp_ AmdB_] = resample_rate_L(model(f,:), rate_K_vec, rate_K_sample_freqs_kHz, Fs, "lancmel");
+ [rate_K_vec_corrected orig_error error nasty_error_log nasty_error_m_log] = correct_rate_K_vec(rate_K_vec, rate_K_sample_freqs_kHz, AmdB, AmdB_, K, Wo, L, Fs);
+ rate_K_vec = rate_K_vec_corrected;
+ end
+
+ % plots ----------------------------------
+
+ figure(fg++); clf;
+ l = sprintf(";rate %d AmdB;g+-", L);
+ plot((1:L)*Wo*4000/pi, AmdB, l);
+ axis([1 4000 -20 80]);
+ hold on;
+
+ rate_K_vec_ = rate_K_vec;
+ D = dct(rate_K_vec);
+ if quant_en
+ %rate_K_vec_ = huffman_quantise_rate_K(rate_K_vec);
+ D_ = 16*round(D/16);
+ rate_K_vec_ = idct(D_);
+ else
+ D_ = D;
+ end
+ stem(rate_K_sample_freqs_kHz*1000, rate_K_vec_);
+
+ % And .... back to rate L
+
+ [model_ AmdB_] = resample_rate_L(model(f,:), rate_K_vec_, rate_K_sample_freqs_kHz, Fs, "lancmel");
+
+ AmdB_ = AmdB_(1:L);
+ sdL = std(abs(AmdB - AmdB_));
+
+ plot((1:L)*Wo*4000/pi, AmdB_,";AmdB bar;r+-");
+ l = sprintf(";error sd %3.2f dB;bk+-", sdL);
+ plot((1:L)*Wo*4000/pi, (AmdB - AmdB_), l);
+ hold off;
+
+ if phase_en
+
+ % est phase using HT
+
+ fft_enc = 512;
+ if strcmp(phase_source,'Am')
+ Am_phase = model(f,3:(L+2));
+ phase_est = determine_phase(model(f,:), 1, fft_enc);
+ else
+ Am_phase = model_(3:(L+2));
+ phase_est = determine_phase(model_, 1, fft_enc);
+ end
+ Am_phase_dB = 20*log10(Am_phase);
+ phase0 = zeros(1,L);
+ for m=1:L
+ b = round(m*Wo*fft_enc/(2*pi));
+ phase0(m) = phase_est(b);
+ end
+
+ % plot amplitudes and phase for first 1kHz
+
+ figure(fg++); clf;
+ subplot(211);
+ l = sprintf("+-;%s;",phase_source);
+ plot((1:L)*Wo*4000/pi, Am_phase_dB(1:L),l);
+ subplot(212);
+ plot((1:L)*Wo*4000/pi, phase(f,1:L),'+-;orig;');
+ hold on;
+ plot((1:L)*Wo*4000/pi, phase0(1:L),'r+-;synth;');
+ hold off;
+
+ % simple synthesis using sinusoidal parameters
+
+ figure(fg++); clf;
+ N = 320;
+ s = s_phase0 = zeros(1,N);
+ for m=1:L
+ s = s + Am_phase(m)*cos(m*Wo*(1:N) + phase(f,m));
+ s_phase0 = s_phase0 + Am_phase(m)*cos(m*Wo*(1:N) + phase0(m));
+ end
+ subplot(211); plot(s); subplot(212); plot(s_phase0,'g');
+ end
+
+ figure(fg++);
+ stem(D_)
+ axis([0 K -50 50])
+
+ % interactive menu ------------------------------------------
+
+ printf("\rframe: %d menu: n-next b-back u-qUant c-Correct s-phSrc q-quit", f);
+ fflush(stdout);
+ k = kbhit();
+
+ if k == 'n'
+ f = f + 1;
+ endif
+ if k == 'b'
+ f = f - 1;
+ endif
+ if k == 'u'
+ if quant_en==0, quant_en=1, else quant_en=0;,end;
+ end
+ if k == 's'
+ if strcmp(phase_source, 'Am')
+ phase_source = 'Am bar'
+ else
+ phase_source = 'Am';
+ end
+ end
+ if k == 'c'
+ if correct_rate_K_en==0, correct_rate_K_en=1;, else correct_rate_K_en=0;,end;
+ end
+ until (k == 'q')
+ printf("\n");
+
+endfunction
+
+
+function ind = arg_exists(v, str)
+ ind = 0;
+ for i=1:length(v)
+ if !ind && strcmp(v{i}, str)
+ ind = i;
+ end
+ end
+endfunction
+
+
diff --git a/libcodec2-android/src/codec2/octave/newamp_700c.m b/libcodec2-android/src/codec2/octave/newamp_700c.m
new file mode 100644
index 0000000..ff5c662
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp_700c.m
@@ -0,0 +1,359 @@
+% newamp_700c.m
+%
+% Copyright David Rowe 2017
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Library of Octave functions to for rate K, mel spaced
+% vector quantisation of spectral magntides used in Codec 2 700C mode.
+
+1;
+melvq; % mbest VQ functions
+
+% --------------------------------------------------------------------------------
+% Functions used by rate K mel work
+% --------------------------------------------------------------------------------
+
+% General 2nd order parabolic interpolator. Used splines orginally,
+% but this is much simpler and we don't need much accuracy. Given two
+% vectors of points xp and yp, find interpolated values y at points x
+
+function y = interp_para(xp, yp, x)
+ assert( (length(xp) >=3) && (length(yp) >= 3) );
+
+ y = zeros(1,length(x));
+ k = 1;
+ for i=1:length(x)
+ xi = x(i);
+
+ % k is index into xp of where we start 3 points used to form parabola
+
+ while ((xp(k+1) < xi) && (k < (length(xp)-2)))
+ k++;
+ end
+
+ x1 = xp(k); y1 = yp(k); x2 = xp(k+1); y2 = yp(k+1); x3 = xp(k+2); y3 = yp(k+2);
+ %printf("k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
+
+ a = ((y3-y2)/(x3-x2)-(y2-y1)/(x2-x1))/(x3-x1);
+ b = ((y3-y2)/(x3-x2)*(x2-x1)+(y2-y1)/(x2-x1)*(x3-x2))/(x3-x1);
+
+ y(i) = a*(xi-x2)^2 + b*(xi-x2) + y2;
+ end
+endfunction
+
+
+% simple linear interpolator
+
+function y = interp_linear(xp, yp, x)
+ assert( (length(xp) == 2) && (length(yp) == 2) );
+
+ m = (yp(2) - yp(1))/(xp(2) - xp(1));
+ c = yp(1) - m*xp(1);
+
+ y = zeros(1,length(x));
+ for i=1:length(x)
+ y(i) = m*x(i) + c;
+ end
+endfunction
+
+
+% quantise input sample to nearest value in table, optionally return binary code
+
+function [quant_out best_i bits] = quantise(levels, quant_in)
+
+ % find closest quantiser level
+
+ best_se = 1E32;
+ for i=1:length(levels)
+ se = (levels(i) - quant_in)^2;
+ if se < best_se
+ quant_out = levels(i);
+ best_se = se;
+ best_i = i;
+ end
+ end
+
+ % convert index to binary bits
+
+ numbits = ceil(log2(length(levels)));
+ bits = zeros(1, numbits);
+ for b=1:numbits
+ bits(b) = bitand(best_i-1,2^(numbits-b)) != 0;
+ end
+
+endfunction
+
+
+% Quantisation functions for Wo in log freq domain
+
+function index = encode_log_Wo(Wo, bits)
+ Wo_levels = 2.^bits;
+ Wo_min = 2*pi/160;
+ Wo_max = 2*pi/20;
+
+ norm = (log10(Wo) - log10(Wo_min))/(log10(Wo_max) - log10(Wo_min));
+ index = floor(Wo_levels * norm + 0.5);
+ index = max(index, 0);
+ index = min(index, Wo_levels-1);
+endfunction
+
+
+function Wo = decode_log_Wo(index, bits)
+ Wo_levels = 2.^bits;
+ Wo_min = 2*pi/160;
+ Wo_max = 2*pi/20;
+
+ step = (log10(Wo_max) - log10(Wo_min))/Wo_levels;
+ Wo = log10(Wo_min) + step*index;
+
+ Wo = 10 .^ Wo;
+endfunction
+
+
+% convert index to binary bits
+
+function bits = index_to_bits(value, numbits)
+ levels = 2.^numbits;
+ bits = zeros(1, numbits);
+ for b=1:numbits
+ bits(b) = bitand(value,2^(numbits-b)) != 0;
+ end
+end
+
+
+function value = bits_to_index(bits, numbits)
+ value = 2.^(numbits-1:-1:0) * bits;
+endfunction
+
+
+% Determine a phase spectra from a magnitude spectra
+% from http://www.dsprelated.com/showcode/20.php
+% Haven't _quite_ figured out how this works but have to start somewhere ....
+%
+% TODO: we may be able to sample at a lower rate, like mWo
+% but start with something that works
+
+function [phase Gdbfk s Aw] = determine_phase(model, f, Nfft=512, ak)
+ Fs = 8000;
+ max_amp = 80;
+ L = min([model(f,2) max_amp-1]);
+ Wo = model(f,1);
+
+ sample_freqs_kHz = (Fs/1000)*[0:Nfft/2]/Nfft; % fft frequency grid (nonneg freqs)
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+ rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
+
+ Gdbfk = interp_para(rate_L_sample_freqs_kHz, AmdB, sample_freqs_kHz);
+
+ % optional input of aks for testing
+
+ if nargin == 4
+ Aw = 1 ./ fft(ak,Nfft);
+ Gdbfk = 20*log10(abs(Aw(1:Nfft/2+1)));
+ end
+
+ [phase s] = mag_to_phase(Gdbfk, Nfft);
+
+endfunction
+
+
+% Non linear sampling of frequency axis, reducing the "rate" is a
+% first step before VQ
+
+function mel = ftomel(fHz)
+ mel = floor(2595*log10(1+fHz/700)+0.5);
+endfunction
+
+
+function rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K)
+ mel_start = ftomel(200); mel_end = ftomel(3700);
+ step = (mel_end-mel_start)/(K-1);
+ mel = mel_start:step:mel_end;
+ rate_K_sample_freqs_Hz = 700*((10 .^ (mel/2595)) - 1);
+ rate_K_sample_freqs_kHz = rate_K_sample_freqs_Hz/1000;
+endfunction
+
+
+function [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model, K)
+ rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K);
+ rate_K_surface = resample_const_rate_f(model, rate_K_sample_freqs_kHz);
+endfunction
+
+
+% Resample Am from time-varying rate L=floor(pi/Wo) to fixed rate K. This can be viewed
+% as a 3D surface with time, freq, and ampitude axis.
+
+function [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f(model, rate_K_sample_freqs_kHz)
+
+ % convert rate L=pi/Wo amplitude samples to fixed rate K
+
+ max_amp = 80;
+ [frames col] = size(model);
+ K = length(rate_K_sample_freqs_kHz);
+ rate_K_surface = zeros(frames, K);
+
+ for f=1:frames
+ Wo = model(f,1);
+ L = min([model(f,2) max_amp-1]);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+ %pre = 10*log10((1:L)*Wo*4/(pi*0.3));
+ %AmdB += pre;
+
+ % clip between peak and peak -50dB, to reduce dynamic range
+
+ AmdB_peak = max(AmdB);
+ AmdB(find(AmdB < (AmdB_peak-50))) = AmdB_peak-50;
+
+ rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
+
+ %rate_K_surface(f,:) = interp1(rate_L_sample_freqs_kHz, AmdB, rate_K_sample_freqs_kHz, "spline", "extrap");
+ rate_K_surface(f,:) = interp_para(rate_L_sample_freqs_kHz, AmdB, rate_K_sample_freqs_kHz);
+
+ %printf("\r%d/%d", f, frames);
+ end
+ %printf("\n");
+endfunction
+
+
+% Take a rate K surface and convert back to time varying rate L
+
+function [model_ AmdB_] = resample_rate_L(model, rate_K_surface, rate_K_sample_freqs_kHz)
+ max_amp = 80;
+ [frames col] = size(model);
+
+ model_ = zeros(frames, max_amp+2);
+ for f=1:frames
+ Wo = model(f,1);
+ L = model(f,2);
+ rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
+
+ % back down to rate L
+
+ % AmdB_ = interp1(rate_K_sample_freqs_kHz, rate_K_surface(f,:), rate_L_sample_freqs_kHz, "spline", 0);
+ AmdB_ = interp_para([ 0 rate_K_sample_freqs_kHz 4], [0 rate_K_surface(f,:) 0], rate_L_sample_freqs_kHz);
+
+ model_(f,1) = Wo; model_(f,2) = L; model_(f,3:(L+2)) = 10 .^ (AmdB_(1:L)/20);
+ end
+endfunction
+
+
+% Post Filter, has a big impact on speech quality after VQ. When used
+% on a mean removed rate K vector, it raises formants, and supresses
+% anti-formants. As it manipulates amplitudes, we normalise energy to
+% prevent clipping or large level variations. pf_gain of 1.2 to 1.5
+% (dB) seems to work OK. Good area for further investigations and
+% improvements in speech quality.
+
+function vec = post_filter(vec, sample_freq_kHz, pf_gain = 1.5, voicing)
+ % vec is rate K vector describing spectrum of current frame
+ % lets pre-emp before applying PF. 20dB/dec over 300Hz
+
+ pre = 20*log10(sample_freq_kHz/0.3);
+ vec += pre;
+
+ levels_before_linear = 10 .^ (vec/20);
+ e_before = sum(levels_before_linear .^2);
+
+ vec *= pf_gain;
+
+ levels_after_linear = 10 .^ (vec/20);
+ e_after = sum(levels_after_linear .^2);
+ gain = e_after/e_before;
+ gaindB = 10*log10(gain);
+ vec -= gaindB;
+
+ vec -= pre;
+endfunction
+
+
+% construct energy quantiser table, and save to text file to include in C
+
+function energy_q = create_energy_q
+ energy_q = 10 + 40/16*(0:15);
+endfunction
+
+function save_energy_q(fn)
+ energy_q = create_energy_q;
+ f = fopen(fn, "wt");
+ fprintf(f, "1 %d\n", length(energy_q));
+ for n=1:length(energy_q)
+ fprintf(f, "%f\n", energy_q(n));
+ end
+ fclose(f);
+endfunction
+
+
+% save's VQ in format that can be compiled by Codec 2 build system
+
+function save_vq(vqset, filenameprefix)
+ [Nvec order stages] = size(vqset);
+ for s=1:stages
+ fn = sprintf("%s_%d.txt", filenameprefix, s);
+ f = fopen(fn, "wt");
+ fprintf(f, "%d %d\n", order, Nvec);
+ for n=1:Nvec
+ for k=1:order
+ fprintf(f, "% 8.4f ", vqset(n,k,s));
+ end
+ fprintf(f, "\n");
+ end
+ fclose(f);
+ end
+endfunction
+
+
+% Decoder side interpolation of Wo and voicing, to go from 25 Hz
+% sample rate used over channel to 100Hz internal sample rate of Codec
+% 2.
+
+function [Wo_ voicing_] = interp_Wo_v(Wo1, Wo2, voicing1, voicing2)
+ M = 4;
+ max_amp = 80;
+
+ Wo_ = zeros(1,M);
+ voicing_ = zeros(1,M);
+ if !voicing1 && !voicing2
+ Wo_(1:M) = 2*pi/100;
+ end
+
+ if voicing1 && !voicing2
+ Wo_(1:M/2) = Wo1;
+ Wo_(M/2+1:M) = 2*pi/100;
+ voicing_(1:M/2) = 1;
+ end
+
+ if !voicing1 && voicing2
+ Wo_(1:M/2) = 2*pi/100;
+ Wo_(M/2+1:M) = Wo2;
+ voicing_(M/2+1:M) = 1;
+ end
+
+ if voicing1 && voicing2
+ Wo_samples = [Wo1 Wo2];
+ Wo_(1:M) = interp_linear([1 M+1], Wo_samples, 1:M);
+ voicing_(1:M) = 1;
+ end
+
+ #{
+ printf("f: %d f+M/2: %d Wo: %f %f (%f %%) v: %d %d \n", f, f+M/2, model(f,1), model(f+M/2,1), 100*abs(model(f,1) - model(f+M/2,1))/model(f,1), voicing(f), voicing(f+M/2));
+ for i=f:f+M/2-1
+ printf(" f: %d v: %d v_: %d Wo: %f Wo_: %f\n", i, voicing(i), voicing_(i), model(i,1), model_(i,1));
+ end
+ #}
+endfunction
+
+
+% Equaliser in front of EQ, see vq_70c_eq.m for development version
+
+function [rate_K_vec eq] = front_eq(rate_K_vec, eq)
+ [tmp K] = size(rate_K_vec);
+ ideal = [ 8 10 12 14 14*ones(1,K-1-4) -20];
+ gain = 0.02;
+ update = rate_K_vec - ideal;
+ eq = (1-gain)*eq + gain*update;
+ eq(find(eq < 0)) = 0;
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/newamp_batch.m b/libcodec2-android/src/codec2/octave/newamp_batch.m
new file mode 100644
index 0000000..72fd837
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp_batch.m
@@ -0,0 +1,112 @@
+% newamp_batch.m
+%
+% Copyright David Rowe 2015
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Octave script to batch process model parameters using the new
+% amplitude model. Used for generating samples we can listen to.
+%
+% Usage:
+% ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --dump hts1a
+% $ cd ~/codec2-dev/octave
+% octave:14> newamp_batch("../build_linux/src/hts1a")
+% ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --amread hts1a_am.out -o - | play -t raw -r 8000 -s -2 -
+% Or with a little more processing:
+% codec2-dev/build_linux/src$ ./c2sim ../../raw/hts2a.raw --amread hts2a_am.out --awread hts2a_aw.out --phase0 --postfilter --Woread hts2a_Wo.out -o - | play -q -t raw -r 8000 -s -2 -
+
+
+% process a whole file and write results
+
+function [dk_log D1_log] = newamp_batch(samname, optional_Am_out_name, optional_Aw_out_name)
+ newamp;
+ more off;
+
+ max_amp = 80;
+ k = 10;
+ decimate = 4;
+ dec_in_time = 1;
+ dec_in_freq = 1;
+ decimate = 4;
+ synth_phase = 1;
+ vq_en = 1;
+ dk_log = []; D1_log = [];
+ train = 0;
+ Wo_quant = 1;
+ ind_log = [];
+
+ model_name = strcat(samname,"_model.txt");
+ model = load(model_name);
+ [frames nc] = size(model);
+ model_ = zeros(frames, nc);
+ non_masked_m = zeros(frames,max_amp);
+
+ voicing_name = strcat(samname,"_pitche.txt");
+ voicing = zeros(1,frames);
+ if exist(voicing_name, "file") == 2
+ pitche = load(voicing_name);
+ voicing = pitche(:, 3);
+ end
+
+ if vq_en
+ load vq;
+ end
+
+ % encoder loop ------------------------------------------------------
+
+ sd_sum = 0;
+ for f=1:frames
+ printf("%d ", f);
+
+ Wo = model(f,1);
+ L = min([model(f,2) max_amp-1]);
+
+ if Wo_quant
+ ind_Wo = encode_log_Wo(Wo, 6);
+ Wo = decode_log_Wo(ind_Wo, 6);
+ L = floor(pi/Wo);
+ L = min([L max_amp-1]);
+ end
+
+ model_(f,1) = Wo;
+ model_(f,2) = L;
+ model_(f,3:(L+2)) = Am = model(f,3:(L+2));
+
+ AmdB = 20*log10(Am);
+
+ % find mask
+
+ mask_sample_freqs_kHz = (1:L)*Wo*4/pi;
+ maskdB = mask_model(AmdB, Wo, L);
+
+ maskdB_ = maskdB;
+ if dec_in_freq
+ if vq_en
+ [maskdB_ tmp1 D dk_ D1_ ind_vq] = decimate_in_freq(maskdB, 1, k, vq);
+ else
+ [maskdB_ tmp1 D dk_ D1_] = decimate_in_freq(maskdB, 1, k);
+ end
+ dk_log = [dk_log; dk_];
+ D1_log = [D1_log; D1_];
+ end
+ %maskdB_pf = maskdB_*1.5;
+ %maskdB_pf += max(maskdB_) - max(maskdB_pf);
+
+ % log info for bit stream
+
+ ind_log = [ind_log; ind_Wo voicing(f) (ind_vq-1) 0];
+
+ %sd_sum += sum(maskdB_ - maskdB);
+
+ Am_ = zeros(1,max_amp);
+ Am_ = 10 .^ (maskdB_(1:L)/20);
+ model_(f,3:(L+2)) = Am_;
+ end
+
+ bit_stream_name = strcat(samname,".bit");
+ bits_per_param = [6 1 8 8 4 1];
+ write_bit_stream_file(bit_stream_name, ind_log, bits_per_param);
+ decode_from_bit_stream(samname);
+
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/newamp_fbf.m b/libcodec2-android/src/codec2/octave/newamp_fbf.m
new file mode 100644
index 0000000..c3d1bb6
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/newamp_fbf.m
@@ -0,0 +1,207 @@
+% newamp_fbf.m
+%
+% Copyright David Rowe 2015
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Interactive Octave script to explore frame by frame operation of new amplitude
+% modelling model.
+%
+% Usage:
+% Make sure codec2-dev is compiled with the -DDUMP option - see README for
+% instructions.
+% ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --dump hts1a
+% $ cd ~/codec2-dev/octave
+% octave:14> newamp_fbf("../build_linux/src/hts1a",50)
+
+
+
+function newamp_fbf(samname, f=10)
+ newamp;
+ more off;
+ plot_spectrum = 1;
+ dec_in_freq = 1;
+ dec_in_time = 0;
+ vq_en = 0;
+ mask_en = 0;
+
+ % load up text files dumped from c2sim ---------------------------------------
+
+ sn_name = strcat(samname,"_sn.txt");
+ Sn = load(sn_name);
+ sw_name = strcat(samname,"_sw.txt");
+ Sw = load(sw_name);
+ model_name = strcat(samname,"_model.txt");
+ model = load(model_name);
+ [frames tmp] = size(model);
+
+ load vq;
+
+ % Keyboard loop --------------------------------------------------------------
+
+ k = ' ';
+ do
+ figure(1);
+ clf;
+ s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+ size(s);
+ plot(s);
+ axis([1 length(s) -20000 20000]);
+
+ figure(2);
+ clf;
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+
+ axis([1 4000 -20 80]);
+ hold on;
+ if plot_spectrum
+ plot((1:L)*Wo*4000/pi, AmdB,";Am;r");
+ plot((1:L)*Wo*4000/pi, AmdB,"r+");
+ end
+
+ [maskdB Am_freqs_kHz] = mask_model(AmdB, Wo, L);
+ %a_non_masked_m = find(AmdB > maskdB);
+ %maskdB = maskdB - 6;
+ %maskdB(a_non_masked_m) = maskdB(a_non_masked_m) + 6;
+ %plot(Am_freqs_kHz*1000, maskdB, ';mask;g');
+
+ if mask_en
+ AmdB_ = maskdB;
+ else
+ AmdB_ = AmdB;
+ end
+ if dec_in_freq
+ [tmp1 tmp2 D] = decimate_in_freq(AmdB, 0);
+ if vq_en
+ [AmdB_ AmdB_cyclic D_cyclic dk_] = decimate_in_freq(AmdB, 1, 10, vq);
+ else
+ [AmdB_ AmdB_cyclic D_cyclic dk_] = decimate_in_freq(AmdB_, 1, 10);
+ end
+
+ plot(Am_freqs_kHz*1000, AmdB_cyclic, ';mask cyclic;b');
+ plot(Am_freqs_kHz*1000, AmdB_, ';mask trunc;c');
+ AmdB_pf = AmdB_*(1.5);
+ AmdB_pf += mean(AmdB) - mean(AmdB_pf);
+ %max(AmdB_pf)-max(AmdB_)
+ %AmdB_pf -= max(AmdB_pf)-max(AmdB_);
+ end
+
+ %AmdB_pf = AmdB_*(1.5);
+ %AmdB_pf += mean(AmdB) - mean(AmdB_pf);
+ AmdB_pf = AmdB_;
+ plot(Am_freqs_kHz*1000, AmdB_pf, ';mask trunc pf;g');
+
+ % Optional decimated parameters
+ % need to general model_ parameters either side
+
+ if dec_in_time
+ decimate = 4;
+ model_ = set_up_model_(model, f, decimate, vq_en, vq);
+ maskdB_dit = decimate_frame_rate(model_, decimate, f, frames, Am_freqs_kHz);
+ plot(Am_freqs_kHz*1000, maskdB_dit, ';mask dit;b');
+ end
+
+ hold off;
+
+ if dec_in_freq
+ % lets get a feel for the "spectrum" of the smoothed spectral envelope
+ % this will give us a feel for how hard it is to code, ideally we would like
+ % just a few coefficents to be non-zero
+
+ figure(3)
+ clf
+
+ en = L/2+1;
+ stem(D(2:en),'g')
+ hold on;
+ stem(D_cyclic(2:en),'b')
+ hold off;
+
+ % let plot the cumulative amount of energy in each DFT
+
+ figure(4)
+ clf
+ plot(cumsum(D(2:en)/sum(D(2:en))),';cumsum;g');
+ hold on;
+ plot(cumsum(D_cyclic(2:en)/sum(D_cyclic(2:en))),';cumsum cyclic;b');
+ hold off;
+ axis([1 L 0 1])
+
+ figure(5)
+ clf
+ stem(dk_)
+ end
+
+ % interactive menu ------------------------------------------
+
+ printf("\rframe: %d menu: n-next b-back q-quit m-mask_en", f);
+ fflush(stdout);
+ k = kbhit();
+
+ if (k == 'm')
+ if mask_en
+ mask_en = 0;
+ else
+ mask_en = 1;
+ end
+ endif
+ if (k == 'n')
+ f = f + 1;
+ endif
+ if (k == 'b')
+ f = f - 1;
+ endif
+ until (k == 'q')
+ printf("\n");
+
+endfunction
+
+
+function model_ = set_up_model_(model, f, decimate, vq_en, vq)
+ [frames nc] = size(model);
+ model_ = zeros(frames, nc);
+ left_f = decimate*floor((f-1)/decimate)+1;
+ right_f = left_f + decimate;
+
+ model_(left_f,:) = set_up_maskdB_(model, left_f, vq_en, vq);
+ model_(right_f,:) = set_up_maskdB_(model, right_f, vq_en, vq);
+
+ model_(f,1) = model(f,1); % Wo
+ model_(f,2) = model(f,2); % L
+endfunction
+
+
+function amodel_row = set_up_maskdB_(model, f, vq_en, vq)
+ [frames nc] = size(model);
+ max_amp = 80;
+
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ AmdB = 20*log10(Am);
+
+ [maskdB Am_freqs_kHz] = mask_model(AmdB, Wo, L);
+ a_non_masked_m = find(AmdB > maskdB);
+ maskdB = maskdB - 6;
+ maskdB(a_non_masked_m) = maskdB(a_non_masked_m) + 6;
+
+ if 0
+ if vq_en
+ maskdB_ = decimate_in_freq(maskdB, 1, 7, vq);
+ else
+ maskdB_ = decimate_in_freq(maskdB, 1);
+ end
+ end
+
+ maskdB_ = maskdB;
+
+ amodel_row = zeros(1,nc);
+ amodel_row(1) = Wo;
+ amodel_row(2) = L;
+ Am_ = zeros(1,max_amp);
+ Am_ = 10 .^ (maskdB_(1:L)/20);
+ amodel_row(3:(L+2)) = Am_;
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/nf_from_gr.m b/libcodec2-android/src/codec2/octave/nf_from_gr.m
new file mode 100644
index 0000000..bd36d02
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/nf_from_gr.m
@@ -0,0 +1,129 @@
+% nf_from_gr.m
+% David Rowe Mar 2016
+
+#{
+ Calculate NF from GNU Radio output samples in
+ ...IQIQ... (32 bit float) sample files
+
+ 1/ Take one sample with a -100dBm input carrier
+ 2/ Take another sample with no signal (just rx noise)
+ 3/ Set Fs, adjust st and en to use a chunk of spectrum without too
+ many birdies.
+
+ Gotchas:
+
+ 1/ Inspect Figure(1), the time domain plots.
+ 2/ Make sure plenty of ADC bits are being used with the noise-only sample,
+ we don't want ADC quantisation noise to dominate. Aim for about half
+ full scale.
+ 3/ Also watch out for clipping on either sample.
+
+#}
+
+1;
+
+function det_nf(p_filename, n_filename, title, Fs, st, en, Pin_dB, real_file=0)
+
+ if real_file
+ % real samples files of 16 bit shorts
+ fs=fopen(p_filename,"rb");
+ p = fread(fs,Inf,"short");
+ fclose(fs);
+ fs=fopen(n_filename,"rb");
+ pn = fread(fs,Inf,"short");
+ fclose(fs);
+ else
+ % GNU radio complex file input
+ p = load_comp(p_filename);
+ pn = load_comp(n_filename);
+ end
+
+ % skip any start up transients
+
+ tst = floor(0.1*Fs); ten = st + Fs - 1;
+ P = fft(p(tst:ten));
+ N = fft(pn(tst:ten));
+
+ PdB = 20*log10(abs(P));
+ NdB = 20*log10(abs(N));
+
+ figure(1); clf;
+ subplot(211); plot(real(p(tst:tst+floor(Fs*0.1))));
+ subplot(212); plot(real(pn(tst:tst+floor(Fs*0.1))));
+
+ figure(2); clf;
+ subplot(211); plot(st:en, PdB(st:en));
+ subplot(212); plot(st:en, NdB(st:en));
+
+ #{
+ ------------------------------------------------------------------------
+
+ From Wikipedia: The Noise Figure is the difference in decibels
+ (dB) between the noise output of the actual receiver to the noise
+ output of an “ideal” receiver
+
+ An ideal receiver would have an output noise power of:
+
+ Nout_dB = 10log10(B) -174 + G_dB
+
+ The -174 dBm/Hz figure is the thermal noise density at 25C, for
+ every 1Hz of bandwidth your will get -174dBm of noise power. It's
+ the lower limit set by the laws of physics. G_dB is the Rx gain. The
+ 10log10(B) term takes into account the bandwidth of the Rx. A wider
+ bandwidth means more total noise power.
+
+ So if you have a 1Hz bandwidth, and a gain of 100dB, you would
+ expect Nout_NdB = 0 -174 + 100 = -74dBm at the rx output with no
+ signal. If you have a 1000Hz bandwidth receiver you would have NdB_out
+ = 20 -174 + 100 = -44dBm of noise power at the output.
+
+ To determine Noise Figure:
+ 1) Sample the Rx output first with a test signal and then with noise only.
+ 2) Find the Rx gain using the test signal.
+ 3) Find the noise output power, then using the gain we can find the noise
+ input power.
+ 4) Normalise the noise input power to 1Hz noise bandwidth and
+ compare to the thermal noise floor.
+
+ ----------------------------------------------------------------------------
+ #}
+
+ % variance is the power of a sampled signal
+
+ Pout_dB = 10*log10(var(P(st:en))); % Rx output power with test signal
+ G_dB = Pout_dB - Pin_dB; % Gain of Rx
+ Nout_dB = 10*log10(var(N(st:en))); % Rx output power with noise
+ Nin_dB = Nout_dB - G_dB; % Rx input power with noise
+ No_dB = Nin_dB - 10*log10(en-st); % Rx input power with noise in 1Hz bandwidth
+ NF_dB = No_dB + 174; % compare to thermal noise to get NF
+ printf("%10s: Pin: %4.1f Pout: %4.1f G: %4.1f NF: %3.1f dB\n", title, Pin_dB, Pout_dB, G_dB, NF_dB);
+endfunction
+
+
+% HackRF --------------------------
+
+%p_filename = "~/Desktop/blogs/nf/hackrf_100dbm_4MHz.bin";
+%n_filename = "~/Desktop/blogs/nf/hackrf_nosignal_4MHz.bin";
+p_filename = "~/codec2-dev/build_linux/unittest/hackrf_100dbm_4MHz.bin";
+n_filename = "~/codec2-dev/build_linux/unittest/hackrf_nosignal_4MHz.bin";
+det_nf(p_filename, n_filename, "HackRF", 4E6, 180E3, 600E3, -100);
+
+#{
+% RTL-SDR --------------------------
+
+p_filename = "~/Desktop/nf/neg100dBm_2MHz.bin";
+n_filename = "~/Desktop/nf/nosignal_2MHz.bin";
+det_nf(p_filename, n_filename, "RTL-SDR", 2E6, 100E3, 300E3, -100);
+
+% AirSpy -------------------------
+
+p_filename = "~/Desktop/nf/airspy_100dbm_2.5MSPS.bin";
+n_filename = "~/Desktop/nf/airspy_nosig_2.5MSPS.bin";
+det_nf(p_filename, n_filename, "AirSpy", 2.5E6, 100E3, 300E3, -100);
+
+% Fun Cube Dongle Pro Plus -------------------------
+
+p_filename = "~/Desktop/nf/fcdpp_100dbm_192khz.bin";
+n_filename = "~/Desktop/nf/fcdpp_nosig_192khz.bin";
+det_nf(p_filename, n_filename, "FunCube PP", 192E3, 25E3, 125E3, -100);
+#}
diff --git a/libcodec2-android/src/codec2/octave/nf_from_stdio.m b/libcodec2-android/src/codec2/octave/nf_from_stdio.m
new file mode 100644
index 0000000..e1d38f2
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/nf_from_stdio.m
@@ -0,0 +1,133 @@
+% nf_from_gr.m
+% David Rowe Mar 2018
+
+#{
+
+ Calculate NF in real time from 16 bit real samples from stdin
+
+ 1/ Using gqrx:
+
+ gqrx setup:
+ Configure I/O devices:
+ To switch on LNA bias for HackRF, in Configure I/O devices menu set:
+ Device String: hackrf,bias=1
+ To switch on LNA bias for airspy run for a few seconds this before starting gqrx:
+ $ airspy_rx -r /dev/null -f 435 -b 1
+ I used a sample rate of 250000 for Airspy R2, 3000000 for Airspy Mini
+ Input options...: start with set all gain sliders set to maximum
+ FFT Setting.....: freq Zoom to max
+ Receiver Options: On spectrum display, drag filter width until it's about 12k
+ Filter Shape Normal
+ Mode USB
+ Tune until tone is between 2 and 4 k
+ Press UDP button
+
+ Then in a Linux Term:
+
+ $ nc -ul 7355 | octave --no-gui -qf nf_from_stdio.m 48000
+
+ 2/ Using command line tools. Compile airspy tools and csdr from source:
+
+ a) Airspy:
+
+ $ airspy_rx -a 6000000 -l 14 -m 15 -v 15 -r - -f 434.998 -b 1 | \
+ csdr convert_s16_f | csdr fir_decimate_cc 50 | csdr convert_f_s16 | \
+ octave --no-gui -qf ~/codec2-dev/octave/nf_from_stdio.m 120000 complex
+
+ Note: we tuned a few kHz down to put the test tone in the 2000 to 4000 Hz range.
+
+ b) HackRF:
+
+ Term 1:
+
+ $ ~/codec2-dev/octave$ nc -ul 7355 | octave --no-gui -qf nf_from_stdio.m 80000 complex
+
+ Term 2:
+
+ $ hackrf_transfer -r - -f 434995000 -s 4000000 -a 1 -p 1 -l 40 -g 32 | \
+ csdr convert_s8_f | csdr fir_decimate_cc 50 | csdr convert_f_s16 | \
+ nc localhost -u 7355
+
+ Note: HackRF needed a bit of tuning to get test tone in 2000 to 4000 Hz range. This
+ can be tricky with the command line method, easier with gqrx.
+
+ c) rtlsdr (assuming sig gen set to 144.5MHz, -100dBm)
+
+ Term 1:
+
+ $ ./rtl_sdr -g 50 -s 2400000 -f 144.498E6 - | csdr convert_u8_f | csdr fir_decimate_cc 50 | \
+ csdr convert_f_s16 | octave --no-gui -qf ~/codec2/octave/nf_from_stdio.m 48000 complex
+
+ TODO:
+ [ ] work out why noise power st bounces around so much, signal power seems stable
+ [ ] reduce CPU load, in particular of plotting
+#}
+
+graphics_toolkit ("gnuplot")
+
+% command line arguments
+
+arg_list = argv ();
+if nargin == 0
+ printf("\nusage: %s FsHz [real|complex] [testToneLeveldBm]\n\n", program_name());
+ exit(0);
+end
+
+Fs = str2num(arg_list{1});
+shorts_per_sample = 1;
+
+if nargin == 2
+ if strcmp(arg_list{2}, "real")
+ shorts_per_sample = 1;
+ end
+ if strcmp(arg_list{2}, "complex")
+ shorts_per_sample = 2;
+ end
+end
+
+Pin_dB = -100; % level of input test tone
+if nargin == 3
+ Pin_dB = str2num(arg_list{3});
+end
+
+printf("Fs: %d shorts_per_sample: %d Pin_dB: %f\n", Fs, shorts_per_sample, Pin_dB);
+
+[s,c] = fread(stdin, shorts_per_sample*Fs, "short");
+
+while c
+ if shorts_per_sample == 2
+ s = s(1:2:end)+j*s(2:2:end);
+ end
+ S = fft(s.*hanning(Fs));
+ SdB = 20*log10(abs(S));
+ figure(1); plot(real(s)); axis([0 Fs -4E4 4E4]);
+ figure(2); plot(SdB); axis([0 12000 40 180]);
+
+ % assume sine wave is between 2000 and 4000 Hz, and dominates energy in that
+ % region. Noise is between 5000 - 10000 Hz
+
+ sig_st = 2000; sig_en = 5000;
+ noise_st = 6000; noise_en = 10000;
+
+ % find peak and sum power a few bins either side, this ensure we don't capture
+ % too much noise as well
+
+ [pk pk_pos] = max(abs(S));
+ if pk_pos > 5
+ Pout_dB1 = 10*log10(sum(abs(S(pk_pos-5:pk_pos+5)).^2)); % Rx output power with test signal
+ else
+ Pout_dB1 = 0;
+ end
+
+ Pout_dB = 10*log10(sum(abs(S(sig_st:sig_en)).^2)); % Rx output power with test signal
+ G_dB = Pout_dB - Pin_dB; % Gain of Rx
+ Nout_dB = 10*log10(sum(abs(S(noise_st:noise_en)).^2)/(noise_en-noise_st)); % Rx output power with noise
+ Nin_dB = Nout_dB - G_dB; % Rx input power with noise
+ No_dB = Nin_dB; %- 10*log10(noise_en-noise_st); % Rx input power with noise in 1Hz bandwidth
+ NF_dB = No_dB + 174; % compare to thermal noise to get NF
+ printf("Pout: %4.1f %d %4.1f Nout: %4.1f G: %4.1f No: %4.1f NF: %3.1f dB\n", Pout_dB, pk_pos, Pout_dB1, Nout_dB, G_dB, No_dB, NF_dB);
+
+ pause(2);
+ [s,c] = fread(stdin, shorts_per_sample*Fs, "short");
+endwhile
+
diff --git a/libcodec2-android/src/codec2/octave/ofdm_demod_c.m b/libcodec2-android/src/codec2/octave/ofdm_demod_c.m
new file mode 100644
index 0000000..4a39749
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ofdm_demod_c.m
@@ -0,0 +1,48 @@
+% ofdm_demod_c.m
+% David Rowe April 2018
+%
+% Plots data from The C OFDM demodulator ofdm_demod, in similar format to
+% plots from Octave OFDM demodulator ofdm_rx.m
+%
+% Useful for of line analysis of a demod run
+
+function ofdm_demod_c(filename, mode="700D")
+ ofdm_lib;
+ more off;
+
+ % init modem
+
+ config = ofdm_init_mode(mode);
+ states = ofdm_init(config);
+ ofdm_load_const;
+ states.verbose = 0;
+
+ load(filename);
+
+ figure(1); clf;
+ plot(rx_np_log_c,'+');
+ mx = 2*max(abs(rx_np_log_c));
+ axis([-mx mx -mx mx]);
+ title('Scatter');
+
+ figure(2); clf;
+ plot(phase_est_pilot_log_c(:,2:Nc),'g+', 'markersize', 5);
+ title('Phase Est');
+ axis([1 length(phase_est_pilot_log_c) -pi pi]);
+
+ figure(3); clf;
+ stem(timing_est_log_c)
+ title('Timing Est');
+
+ figure(4); clf;
+ plot(foff_hz_log_c)
+ mx = max(abs(foff_hz_log_c))+1;
+ axis([1 max(length(foff_hz_log_c),2) -mx mx]);
+ title('Fine Freq');
+ ylabel('Hz')
+
+ figure(5); clf;
+ plot(snr_est_log_c);
+ ylabel('SNR (dB)')
+ title('SNR Estimates')
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/ofdm_dev.m b/libcodec2-android/src/codec2/octave/ofdm_dev.m
new file mode 100644
index 0000000..00319fb
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ofdm_dev.m
@@ -0,0 +1,1376 @@
+% ofdm_dev.m
+% David Rowe April 2017
+%
+% Simulations used for development and testing of Rate Fs BPSK/QPSK
+% OFDM modem.
+
+ofdm_lib;
+gp_interleaver;
+ldpc;
+
+#{
+ TODO:
+ [ ] run_sim neeeds to be refactored for coded operation at Nc=17 with UW
+#}
+
+function [sim_out rx states] = run_sim(sim_in)
+
+ % set up core modem constants
+
+ states = ofdm_init(sim_in.bps, sim_in.Rs, sim_in.Tcp, sim_in.Ns, sim_in.Nc);
+ ofdm_load_const;
+ Nbitspervocframe = 28;
+
+ % simulation parameters and flags
+
+ woffset = 2*pi*sim_in.foff_hz/Fs;
+ dwoffset = 0;
+ if isfield(sim_in, "dfoff_hz_per_sec")
+ dwoffset = 2*pi*sim_in.dfoff_hz_per_sec/(Fs*Fs);
+ end
+ EbNodB = sim_in.EbNodB;
+ verbose = states.verbose = sim_in.verbose;
+ hf_en = sim_in.hf_en;
+
+ timing_en = states.timing_en = sim_in.timing_en;
+ states.foff_est_en = foff_est_en = sim_in.foff_est_en;
+ states.phase_est_en = phase_est_en = sim_in.phase_est_en;
+ if hf_en
+ assert(phase_est_en == 1, "\nNo point running HF simulation without phase est!!\n");
+ end
+ if isfield(sim_in, "high_doppler")
+ states.high_doppler = sim_in.high_doppler;
+ end
+ if isfield(sim_in, "diversity_en")
+ diversity_en = sim_in.diversity_en;
+ else
+ diversity_en = 0;
+ end
+
+ if verbose == 2
+ printf("Rs:..........: %4.2f\n", Rs);
+ printf("M:...........: %d\n", M);
+ printf("Ncp:.........: %d\n", Ncp);
+ printf("bps:.........: %d\n", bps);
+ printf("Nbitsperframe: %d\n", Nbitsperframe);
+ printf("Nsamperframe.: %d\n", Nsamperframe);
+ end
+
+ % Important to define run time in seconds so HF model will evolve the same way
+ % for different pilot insertion rates. So lets work backwards from approx
+ % seconds in run to get Nbits, the total number of payload data bits
+
+ Nrows = sim_in.Nsec*Rs;
+ Nframes = floor((Nrows-1)/Ns);
+
+ % if we are interleaving over multiple frames, adjust Nframes so we have an integer number
+ % of interleaver frames in simulation
+
+ interleave_en = 0;
+ if isfield(sim_in, "interleave_frames")
+ interleave_frames = sim_in.interleave_frames;
+ Nframes = interleave_frames*round(Nframes/interleave_frames);
+ interleave_en = 1;
+ end
+
+ Nbits = Nframes * Nbitsperframe; % number of payload data bits
+
+ Nr = Nbits/(Nc*bps); % Number of data rows to get Nbits total
+
+ % double check if Nbits fit neatly into carriers
+
+ assert(Nbits/(Nc*bps) == floor(Nbits/(Nc*bps)), "Nbits/(Nc*bps) must be an integer");
+
+ Nrp = Nr + Nframes + 1; % number of rows once pilots inserted
+ % extra row of pilots at end
+
+ if verbose == 2
+ printf("Nc...........: %d\n", Nc);
+ printf("Ns...........: %d (step size for pilots, Ns-1 data symbols between pilots)\n", Ns);
+ printf("Nr...........: %d\n", Nr);
+ printf("Nbits........: %d\n", Nbits);
+ printf("Nframes......: %d\n", Nframes);
+ if interleave_en
+ printf("Interleave fr: %d\n", interleave_frames);
+ end
+ printf("Nrp..........: %d (number of rows including pilots)\n", Nrp);
+ end
+
+ % Optional LPDC code -----------------------------------------------
+
+ ldpc_en = states.ldpc_en = sim_in.ldpc_en;
+ if sim_in.ldpc_en
+ assert(bps == 2, "Only QPSK supported for LDPC so far.....");
+ HRA = sim_in.ldpc_code;
+ [aNr aNc] = size(HRA);
+ rate = states.rate = (aNc-aNr)/aNc;
+ Ndatabitsperframe = Nbitsperframe;
+ assert(aNc == Ndatabitsperframe, "Dude: Num cols of LDPC HRA must == Nbitsperframe");
+ [H_rows, H_cols] = Mat2Hrows(HRA);
+ code_param.H_rows = H_rows;
+ code_param.H_cols = H_cols;
+ code_param.P_matrix = [];
+ code_param.data_bits_per_frame = length(code_param.H_cols) - length( code_param.P_matrix );
+ code_param.code_bits_per_frame = aNc;
+ assert(aNr == Ndatabitsperframe*rate);
+
+ modulation = states.ldpc_modulation = 'QPSK';
+ mapping = states.ldpc_mapping = 'gray';
+ demod_type = states.ldpc_demod_type = 0;
+ decoder_type = states.ldpc_decoder_type = 0;
+ max_iterations = states.ldpc_max_iterations = 100;
+
+ code_param.S_matrix = CreateConstellation( modulation, 4, mapping );
+
+ states.code_param = code_param;
+ elseif diversity_en
+ rate = 0.5;
+ else
+ rate = 1;
+ end
+
+ % set up HF model ---------------------------------------------------------------
+
+ if hf_en
+
+ % some typical values, or replace with user supplied
+
+ dopplerSpreadHz = 1.0; path_delay_ms = 1;
+
+ if isfield(sim_in, "dopplerSpreadHz")
+ dopplerSpreadHz = sim_in.dopplerSpreadHz;
+ end
+ if isfield(sim_in, "path_delay_ms")
+ path_delay_ms = sim_in.path_delay_ms;
+ end
+ path_delay_samples = path_delay_ms*Fs/1000;
+ printf("Doppler Spread: %3.2f Hz Path Delay: %3.2f ms %d samples\n", dopplerSpreadHz, path_delay_ms, path_delay_samples);
+
+ % generate same fading pattern for every run
+
+ randn('seed',1);
+
+ spread1 = doppler_spread(dopplerSpreadHz, Fs, Nrp*(M+Ncp)*1.1);
+ spread2 = doppler_spread(dopplerSpreadHz, Fs, Nrp*(M+Ncp)*1.1);
+
+ % sometimes doppler_spread() doesn't return exactly the number of samples we need
+
+ assert(length(spread1) >= Nrp*(M+Ncp), "not enough doppler spreading samples");
+ assert(length(spread2) >= Nrp*(M+Ncp), "not enough doppler spreading samples");
+ end
+
+ % ------------------------------------------------------------------
+ % simulate for each Eb/No point
+ % ------------------------------------------------------------------
+
+ for nn=1:length(EbNodB)
+ rand('seed',1);
+ randn('seed',1);
+
+ EsNo = rate * bps * (10 .^ (EbNodB(nn)/10));
+ variance = 1/(M*EsNo/2);
+
+ Nsam = Nrp*(M+Ncp);
+
+ % generate tx bits, optionaly LDPC encode, and modulate as QPSK symbols
+ % note for reasons unknown LdpcEncode() returns garbage if we use > 0.5 rather than round()
+
+ %tx_data_bits = round(rand(1,Nbits*rate));
+
+ % std test frame so we can x-check
+
+ tx_data_bits = create_ldpc_test_frame(states, ldpc_en);
+
+ tx_bits = []; tx_symbols = [];
+ for f=1:Nframes
+ st = (f-1)*Nbitsperframe*rate+1; en = st + Nbitsperframe*rate - 1;
+ if ldpc_en
+ codeword = LdpcEncode(tx_data_bits(st:en), code_param.H_rows, code_param.P_matrix);
+ elseif diversity_en
+ % Nc carriers, so Nc*bps bits/row coded, or Nc*bps*rate data bits that we repeat
+ codeword = [];
+ for rr=1:Ns-1
+ st1 = st + (rr-1)*Nc*bps*rate; en1 = st1 + Nc*bps*rate - 1;
+ codeword = [codeword tx_data_bits(st1:en1) tx_data_bits(st1:en1)];
+ end
+ assert(length(codeword) == Nbitsperframe);
+ else
+ % uncoded mode
+ codeword = tx_data_bits;
+ if isfield(sim_in, "uw_debug")
+ codeword(states.uw_ind) = states.tx_uw;
+ end
+ end
+ tx_bits = [tx_bits codeword];
+ for b=1:2:Nbitsperframe
+ tx_symbols = [tx_symbols qpsk_mod(codeword(b:b+1))];
+ end
+ end
+
+ % optional interleaving over multiple frames
+
+ if interleave_en
+ for f=1:interleave_frames:Nframes
+ st = (f-1)*Nbitsperframe/bps+1; en = st + Nbitsperframe*interleave_frames/bps - 1;
+ tx_symbols(st:en) = gp_interleave(tx_symbols(st:en));
+ end
+ end
+
+ % OFDM transmitter
+
+ tx = [];
+ for f=1:Nframes
+ st = (f-1)*Nbitsperframe/bps+1; en = st + Nbitsperframe/bps - 1;
+ tx = [tx ofdm_txframe(states, tx_symbols(st:en))];
+ end
+
+ % add extra row of pilots at end, to allow one frame simulations,
+ % useful for development
+
+ st = Nsamperframe*(Nframes-1)+1; en = st+Ncp+M-1;
+ tx = [tx tx(st:en)];
+ assert(length(tx) == Nsam);
+
+ % channel simulation ---------------------------------------------------------------
+
+ if isfield(sim_in, "sample_clock_offset_ppm")
+ % todo: this only works for large ppm like 500, runs out of memory
+ % for small ppm
+
+ if sim_in.sample_clock_offset_ppm
+ timebase = floor(abs(1E6/sim_in.sample_clock_offset_ppm));
+ if sim_in.sample_clock_offset_ppm > 0
+ tx = resample(tx, timebase+1, timebase);
+ else
+ tx = resample(tx, timebase, timebase+1);
+ end
+
+ % make sure length is correct for rest of simulation
+
+ tx = [tx zeros(1,Nsam-length(tx))];
+ tx = tx(1:Nsam);
+ end
+ end
+
+ rx = tx;
+
+ if hf_en
+
+ rx = tx(1:Nsam) .* spread1(1:Nsam);
+ rx += [zeros(1,path_delay_samples) tx(1:Nsam-path_delay_samples)] .* spread2(1:Nsam);
+
+ % normalise rx power to same as tx
+
+ nom_rx_pwr = 2/(Ns*(M*M)) + Nc/(M*M);
+ rx_pwr = var(rx);
+ rx *= sqrt(nom_rx_pwr/rx_pwr);
+ end
+
+ phase_offset = woffset*(1:Nsam) + 0.5*dwoffset*((1:Nsam).^2);
+ rx = rx .* exp(j*phase_offset);
+
+ if isfield(sim_in, "initial_noise_sams")
+ rx = [zeros(1, sim_in.initial_noise_sams) rx];
+ Nsam = length(rx);
+ end
+
+ noise = sqrt(variance)*(0.5*randn(1,Nsam) + j*0.5*randn(1,Nsam));
+ snrdB = 10*log10(var(rx)/var(noise)) + 10*log10(8000) - 10*log10(3000);
+ rx += noise;
+
+ % interfering carrier
+
+ % rx += 0.04*cos((1:length(rx))*states.w(10));
+
+ % gain
+
+ rx *= sim_in.gain;
+
+ % some spare samples at end to avoid overflow as est windows may poke into the future a bit
+
+ rx = [rx zeros(1,Nsamperframe)];
+
+ % optional save raw file
+ if 1
+ sraw = real(rx*5000);
+ fraw = fopen("ofdm_dev.raw", "wb");
+ fwrite(fraw, sraw, "short");
+ fclose(fraw);
+ end
+
+ % bunch of logs
+
+ phase_est_pilot_log = [];
+ delta_t_log = [];
+ timing_est_log = [];
+ foff_est_hz_log = [];
+ Nerrs_log = []; Nerrs_coded_log = [];
+ rx_bits = []; rx_np = []; rx_amp = [];
+ sig_var_log = []; noise_var_log = [];
+ uw_errors_log = [];
+
+ % reset some states for each EbNo simulation point
+
+ states.sample_point = states.timing_est = 1;
+ if timing_en == 0
+ states.sample_point = Ncp;
+ end
+ states.nin = Nsamperframe;
+ states.foff_est_hz = 0;
+
+ % for this simulation we "prime" buffer to allow one frame runs during development
+
+ prx = 1;
+ states.rxbuf(M+Ncp+2*Nsamperframe+1:Nrxbuf) = rx(prx:Nsamperframe+2*(M+Ncp));
+ prx += Nsamperframe+2*(M+Ncp);
+
+ for f=1:Nframes
+
+ % insert samples at end of buffer, set to zero if no samples
+ % available to disable phase estimation on future pilots on last
+ % frame of simulation
+
+ lnew = min(Nsam-prx,states.nin);
+ rxbuf_in = zeros(1,states.nin);
+
+ if lnew
+ rxbuf_in(1:lnew) = rx(prx:prx+lnew-1);
+ end
+ prx += states.nin;
+
+ [arx_bits states aphase_est_pilot_log arx_np arx_amp] = ofdm_demod(states, rxbuf_in);
+
+ rx_bits = [rx_bits arx_bits]; rx_np = [rx_np arx_np]; rx_amp = [rx_amp arx_amp];
+
+ % note: only supported in ldpc_en = 0 Nc=17 atm, see debug_false_sync()
+
+ if isfield(sim_in, "uw_debug")
+ rx_uw = arx_bits(states.uw_ind);
+ uw_errors = sum(xor(states.tx_uw,rx_uw));
+ if verbose
+ printf("f: %d uw_errors: %d\n", f, uw_errors);
+ end
+ uw_errors_log = [uw_errors_log uw_errors];
+ end
+
+ timing_est_log = [timing_est_log states.timing_est];
+ delta_t_log = [delta_t_log states.delta_t];
+ foff_est_hz_log = [foff_est_hz_log states.foff_est_hz];
+ phase_est_pilot_log = [phase_est_pilot_log; aphase_est_pilot_log];
+ sig_var_log = [sig_var_log states.sig_var];
+ noise_var_log = [noise_var_log states.noise_var];
+ end
+ assert(length(rx_bits) == Nbits);
+
+ % Optional de-interleave on rx QPSK symbols
+
+ if interleave_en
+ for f=1:interleave_frames:Nframes
+ st = (f-1)*Nbitsperframe/bps+1; en = st + Nbitsperframe*interleave_frames/bps - 1;
+ rx_np(st:en) = gp_deinterleave(rx_np(st:en));
+ rx_amp(st:en) = gp_deinterleave(rx_amp(st:en));
+ end
+ end
+
+ % Calculate raw BER/PER stats, after pilots extracted. As we may
+ % have used interleaving, we qpsk_demod() here rather than using
+ % rx_bits from ofdm_demod()
+
+ rx_bits = zeros(1, Nbits);
+ for s=1:Nbits/bps
+ rx_bits(2*(s-1)+1:2*s) = qpsk_demod(rx_np(s));
+ end
+
+ errors = xor(tx_bits, rx_bits);
+ Terrs = sum(errors);
+
+ Tpackets = Tpacketerrs = 0;
+ Nvocframes = floor(Nbits/Nbitspervocframe);
+ for fv=1:Nvocframes
+ st = (fv-1)*Nbitspervocframe + 1;
+ en = st + Nbitspervocframe - 1;
+ Nvocpacketerrs = sum(xor(tx_bits(st:en), rx_bits(st:en)));
+ if Nvocpacketerrs
+ Tpacketerrs++;
+ end
+ Tpackets++;
+ end
+
+ % Per-modem frame error log and optional LDPC/diversity error stats
+
+ Terrs_coded = 0; Tpackets_coded = 0; Tpacketerrs_coded = 0; sim_out.error_positions = [];
+
+ for f=1:Nframes
+ st = (f-1)*Nbitsperframe+1; en = st + Nbitsperframe - 1;
+ Nerrs_log(f) = sum(xor(tx_bits(st:en), rx_bits(st:en)));
+
+ st = (f-1)*Nbitsperframe/bps + 1;
+ en = st + Nbitsperframe/bps - 1;
+ r = rx_np(st:en); fade = rx_amp(st:en);
+
+ % optional LDPC decode
+
+ if ldpc_en
+
+ % scale based on amplitude ests
+
+ mean_amp = states.mean_amp;
+ rx_codeword = ldpc_dec(code_param, max_iterations, demod_type, decoder_type, r/mean_amp, min(EsNo,30), fade/mean_amp);
+ end
+
+ % optional diversity demod
+
+ if diversity_en
+ rx_codeword = [];
+ for rr=1:Ns-1
+ for c=1:Nc/2
+ s = (rr-1)*Nc + c;
+ rx_codeword = [rx_codeword qpsk_demod(r(s)+r(s+Nc/2))];
+ end
+ end
+ assert(length(rx_codeword) == Nbitsperframe*rate);
+ end
+
+ % running coded BER calcs
+
+ if ldpc_en || diversity_en
+
+ st = (f-1)*Nbitsperframe*rate + 1;
+ en = st + Nbitsperframe*rate - 1;
+ errors = xor(tx_data_bits(st:en), rx_codeword(1:Nbitsperframe*rate));
+ Nerrs_coded = sum(errors);
+ Nerrs_coded_log(f) = Nerrs_coded;
+ Terrs_coded += Nerrs_coded;
+ sim_out.error_positions = [sim_out.error_positions errors];
+
+ % PER based on vocoder packet size, not sure it makes much
+ % difference compared to using all bits in LDPC code for
+ % packet
+
+ atx_data_bits = tx_data_bits(st:en);
+ Nvocframes = Nbitsperframe*rate/Nbitspervocframe;
+ for fv=1:Nvocframes
+ st = (fv-1)*Nbitspervocframe + 1;
+ en = st + Nbitspervocframe - 1;
+ Nvocpacketerrs = sum(xor(atx_data_bits(st:en), rx_codeword(st:en)));
+ if Nvocpacketerrs
+ Tpacketerrs_coded++;
+ end
+ Tpackets_coded++;
+ end
+ end
+ end
+
+ % print results of this simulation point to the console
+
+ if verbose
+ if ldpc_en || diversity_en
+ printf("Coded EbNodB: % -4.1f BER: %5.4f Tbits: %5d Terrs: %5d PER: %5.4f Tpackets: %5d Tpacket_errs: %5d\n",
+ EbNodB(nn), Terrs_coded/(Nbits*rate), Nbits*rate, Terrs_coded,
+ Tpacketerrs_coded/Tpackets_coded, Tpackets_coded, Tpacketerrs_coded);
+ end
+ EbNodB_raw = EbNodB(nn) + 10*log10(rate);
+ printf("Raw EbNodB..: % -4.1f BER: %5.4f Tbits: %5d Terrs: %5d PER: %5.4f Tpackets: %5d Tpacket_errs: %5d\n",
+ EbNodB_raw, Terrs/Nbits, Nbits, Terrs,
+ Tpacketerrs/Tpackets, Tpackets, Tpacketerrs);
+ EsNo = mean(sig_var_log)/mean(noise_var_log);
+ %printf("Es/No est dB: % -4.1f\n", 10*log10(EsNo));
+ sim_out.snrdB(nn) = snrdB;
+ sim_out.snr_estdB(nn) = 10*log10(EsNo) + 10*log10(Nc*Rs/3000);
+
+ % returns results for plotting curves
+
+ if ldpc_en || diversity_en
+ sim_out.ber(nn) = Terrs_coded/(Nbits*rate);
+ sim_out.per(nn) = Tpacketerrs_coded/Tpackets_coded;
+ else
+ sim_out.ber(nn) = Terrs/Nbits;
+ sim_out.per(nn) = Tpacketerrs/Tpackets;
+ end
+ end
+
+ sim_out.uw_errors_log = uw_errors_log;
+
+ % Optional plots, mostly used with run-single
+
+ if verbose
+
+ figure(1); clf;
+ plot(rx_np,'+');
+ %axis([-2 2 -2 2]);
+ title('Scatter');
+
+ figure(2); clf;
+ plot(phase_est_pilot_log,'g+', 'markersize', 5);
+ title('Phase est');
+ axis([1 Nrp -pi pi]);
+
+ figure(3); clf;
+ subplot(211)
+ stem(delta_t_log)
+ title('delta t');
+ subplot(212)
+ plot(timing_est_log);
+ title('timing est');
+
+ figure(4); clf;
+ plot(foff_est_hz_log)
+ axis([1 max(Nframes,2) -3 3]);
+ title('Fine Freq');
+
+ figure(5); clf;
+ if ldpc_en
+ subplot(211)
+ stem(Nerrs_log/Nbitsperframe);
+ title("Uncoded BER/frame");
+ subplot(212)
+ stem(Nerrs_coded_log/(Nbitsperframe*rate));
+ title("Coded BER/frame");
+ else
+ title("BER/frame");
+ stem(Nerrs_log/Nbitsperframe);
+ end
+
+ figure(6)
+ Tx = abs(fft(rx(1:Nsam).*hanning(Nsam)'));
+ Tx_dB = 20*log10(Tx);
+ dF = Fs/Nsam;
+ plot((1:Nsam)*dF, Tx_dB);
+ mx = max(Tx_dB);
+ axis([0 Fs/2 mx-60 mx])
+
+ figure(7); clf;
+ plot(10*log10(sig_var_log),'b;Es;');
+ hold on;
+ plot(10*log10(noise_var_log),'r;No;');
+ snr_estdB = 10*log10(sig_var_log) - 10*log10(noise_var_log) + 10*log10(Nc*Rs/3000);
+ snr_est_smoothed_dB = filter(0.1,[1 -0.9],snr_estdB);
+ plot(snr_estdB,'g;SNR3k;');
+ plot(snr_est_smoothed_dB,'c;SNR3k smooth;');
+
+ hold off;
+ title('Signal and Noise Power estimates');
+
+#{
+ if hf_en
+ figure(4); clf;
+ subplot(211)
+ plot(abs(spread1(1:Nsam)));
+ %hold on; plot(abs(spread2(1:Nsam)),'g'); hold off;
+ subplot(212)
+ plot(angle(spread1(1:Nsam)));
+ title('spread1 amp and phase');
+ end
+#}
+
+#{
+ % todo, work out a way to plot rate Fs hf model phase
+ if sim_in.hf_en
+ plot(angle(hf_model(:,2:Nc+1)));
+ end
+#}
+ end
+
+ end
+endfunction
+
+
+function run_single(EbNodB = 100, error_pattern_filename);
+ Ts = 0.018; sim_in.Tcp = 0.002;
+ sim_in.Rs = 1/Ts; sim_in.bps = 2; sim_in.Nc = 16; sim_in.Ns = 8;
+ sim_in.high_doppler = 0;
+
+ sim_in.Nsec = (sim_in.Ns+1)/sim_in.Rs; % one frame, make sure sim_in.interleave_frames = 1
+ sim_in.Nsec = 120;
+
+ sim_in.EbNodB = 20;
+ sim_in.verbose = 1;
+ sim_in.dopplerSpreadHz = 1;
+ sim_in.path_delay_ms = 1;
+ sim_in.hf_en = 1;
+ sim_in.foff_hz = 0;
+ sim_in.dfoff_hz_per_sec = 0.00;
+ sim_in.sample_clock_offset_ppm = 0;
+ sim_in.gain = 1;
+
+ sim_in.timing_en = 0;
+ sim_in.foff_est_en = 0;
+ sim_in.phase_est_en = 1;
+
+ load HRA_112_112.txt
+ sim_in.ldpc_code = HRA_112_112;
+ sim_in.ldpc_en = 0;
+
+ sim_in.interleave_frames = 1;
+ %sim_in.diversity_en = 1;
+
+ sim_out = run_sim(sim_in);
+
+ if nargin == 2
+ fep = fopen(error_pattern_filename, "wb");
+ fwrite(fep, sim_out.error_positions, "short");
+ fclose(fep);
+ end
+
+end
+
+
+% Plot BER and PER curves for AWGN and HF:
+%
+% i) BER/PER against Eb/No for various coding schemes
+% ii) BER/PER against Eb/No showing Pilot/CP overhead
+% iii) BER/PER against SNR, with pilot/CP overhead, comparing 700C
+
+function run_curves
+
+ % waveform
+
+ Ts = 0.018; sim_in.Tcp = 0.002;
+ sim_in.Rs = 1/Ts; sim_in.bps = 2; sim_in.Nc = 16; sim_in.Ns = 8;
+
+ pilot_overhead = (sim_in.Ns-1)/sim_in.Ns;
+ cp_overhead = Ts/(Ts+sim_in.Tcp);
+ overhead_dB = -10*log10(pilot_overhead*cp_overhead);
+
+ % simulation parameters
+
+ sim_in.verbose = 0;
+ sim_in.foff_hz = 0;
+ sim_in.gain = 1;
+
+ sim_in.timing_en = 1;
+ sim_in.foff_est_en = 1;
+ sim_in.phase_est_en = 1;
+ load HRA_112_112.txt
+ sim_in.ldpc_code = HRA_112_112;
+ sim_in.ldpc_en = 0;
+ sim_in.hf_en = 0;
+
+ sim_in.Nsec = 20;
+ sim_in.EbNodB = 0:8;
+ awgn_EbNodB = sim_in.EbNodB;
+
+ awgn_theory = 0.5*erfc(sqrt(10.^(sim_in.EbNodB/10)));
+ awgn = run_sim(sim_in);
+ sim_in.ldpc_en = 1; awgn_ldpc = run_sim(sim_in);
+
+ % Note for HF sim you really need >= 60 seconds (at Rs-50) to get sensible results c.f. theory
+
+ sim_in.hf_en = 1; sim_in.ldpc_en = 0;
+ sim_in.Nsec = 60;
+ sim_in.EbNodB = 4:2:14;
+
+ EbNoLin = 10.^(sim_in.EbNodB/10);
+ hf_theory = 0.5.*(1-sqrt(EbNoLin./(EbNoLin+1)));
+
+ hf = run_sim(sim_in);
+ sim_in.diversity_en = 1; hf_diversity = run_sim(sim_in); sim_in.diversity_en = 0;
+ sim_in.ldpc_en = 1; hf_ldpc = run_sim(sim_in);
+
+ % try a few interleavers
+
+ sim_in.interleave_frames = 1; hf_ldpc_1 = run_sim(sim_in);
+ sim_in.interleave_frames = 8; hf_ldpc_8 = run_sim(sim_in);
+ sim_in.interleave_frames = 16; hf_ldpc_16 = run_sim(sim_in);
+ sim_in.interleave_frames = 32; hf_ldpc_32 = run_sim(sim_in);
+
+ % Rate Fs modem BER curves of various coding schemes
+
+ figure(1); clf;
+ semilogy(awgn_EbNodB, awgn_theory,'b+-;AWGN theory;');
+ hold on;
+ semilogy(sim_in.EbNodB, hf_theory,'b+-;HF theory;');
+ semilogy(awgn_EbNodB, awgn.ber,'r+-;AWGN;');
+ semilogy(sim_in.EbNodB, hf.ber,'r+-;HF;');
+ semilogy(sim_in.EbNodB, hf_diversity.ber,'ro-;HF diversity;');
+ semilogy(awgn_EbNodB, awgn_ldpc.ber,'c+-;AWGN LDPC (224,112);');
+ semilogy(sim_in.EbNodB, hf_ldpc.ber,'c+-;HF LDPC (224,112);');
+ semilogy(sim_in.EbNodB, hf_ldpc_1.ber,'m+-;HF LDPC (224,112) interleave 1;');
+ semilogy(sim_in.EbNodB, hf_ldpc_8.ber,'g+-;HF LDPC (224,112) interleave 8;');
+ semilogy(sim_in.EbNodB, hf_ldpc_16.ber,'k+-;HF LDPC (224,112) interleave 16;');
+ semilogy(sim_in.EbNodB, hf_ldpc_32.ber,'k+-;HF LDPC (224,112) interleave 32;');
+ hold off;
+ axis([0 14 1E-3 2E-1])
+ xlabel('Eb/No (dB)');
+ ylabel('BER');
+ grid; grid minor on;
+ legend('boxoff');
+ legend("location", "southwest");
+ title('Rate Fs modem BER for various FEC coding schemes');
+ print('-deps', '-color', "ofdm_dev_ber_coding.eps")
+
+ awgn_per_theory = 1 - (1-awgn_theory).^28;
+ hf_per_theory = 1 - (1-hf_theory).^28;
+
+ % Rate Fs modem PER curves of various coding schemes
+
+ figure(2); clf;
+ semilogy(awgn_EbNodB, awgn_per_theory,'b+-;AWGN theory;');
+ hold on;
+ semilogy(sim_in.EbNodB, hf_per_theory,'b+-;HF theory;');
+ semilogy(awgn_EbNodB, awgn.per,'r+-;AWGN;');
+ semilogy(sim_in.EbNodB, hf.per,'r+-;HF sim;');
+ semilogy(sim_in.EbNodB, hf_diversity.per,'ro-;HF diversity;');
+ semilogy(awgn_EbNodB, awgn_ldpc.per,'c+-;AWGN LDPC (224,112);');
+ semilogy(sim_in.EbNodB, hf_ldpc.per,'c+-;HF LDPC (224,112);');
+ semilogy(sim_in.EbNodB, hf_ldpc_1.per,'m+-;HF LDPC (224,112) interleave 1;');
+ semilogy(sim_in.EbNodB, hf_ldpc_8.per,'g+-;HF LDPC (224,112) interleave 8;');
+ semilogy(sim_in.EbNodB, hf_ldpc_16.per,'ko-;HF LDPC (224,112) interleave 16;');
+ semilogy(sim_in.EbNodB, hf_ldpc_32.per,'k+-;HF LDPC (224,112) interleave 32;');
+ hold off;
+ axis([0 14 1E-2 1])
+ xlabel('Eb/No (dB)');
+ ylabel('PER');
+ grid; grid minor on;
+ legend('boxoff');
+ legend("location", "southwest");
+ title('Rate Fs modem PER for various FEC coding schemes');
+ print('-deps', '-color', "ofdm_dev_per_coding.eps")
+
+ % Rate Fs modem pilot/CP overhead BER curves
+
+ figure(3); clf;
+ semilogy(awgn_EbNodB, awgn_theory,'b+-;AWGN theory;');
+ hold on;
+ semilogy(sim_in.EbNodB, hf_theory,'b+-;HF theory;');
+ semilogy(awgn_EbNodB+overhead_dB, awgn_theory,'g+-;AWGN lower bound pilot + CP;');
+ semilogy(sim_in.EbNodB+overhead_dB, hf_theory,'g+-;HF lower bound pilot + CP;');
+ semilogy(awgn_EbNodB+overhead_dB, awgn.ber,'r+-;AWGN sim;');
+ semilogy(sim_in.EbNodB+overhead_dB, hf.ber,'r+-;HF sim;');
+ hold off;
+ axis([0 14 1E-3 2E-1])
+ xlabel('Eb/No (dB)');
+ ylabel('BER');
+ grid; grid minor on;
+ legend('boxoff');
+ legend("location", "southwest");
+ title('Rate Fs modem BER Pilot/Cyclic Prefix overhead');
+ print('-deps', '-color', "ofdm_dev_ber_overhead.eps")
+
+ % Rate Fs modem pilot/CP overhead PER curves
+
+ figure(4); clf;
+ semilogy(awgn_EbNodB, awgn_per_theory,'b+-;AWGN theory;','markersize', 10, 'linewidth', 2);
+ hold on;
+ semilogy(sim_in.EbNodB, hf_per_theory,'b+-;HF theory;','markersize', 10, 'linewidth', 2);
+ semilogy(awgn_EbNodB+overhead_dB, awgn_per_theory,'g+-;AWGN lower bound pilot + CP;','markersize', 10, 'linewidth', 2);
+ semilogy(sim_in.EbNodB+overhead_dB, hf_per_theory,'g+-;HF lower bound pilot + CP;','markersize', 10, 'linewidth', 2);
+ semilogy(awgn_EbNodB+overhead_dB, awgn.per,'r+-;AWGN sim;','markersize', 10, 'linewidth', 2);
+ semilogy(sim_in.EbNodB+overhead_dB, hf.per,'r+-;HF sim;','markersize', 10, 'linewidth', 2);
+ hold off;
+ axis([0 14 1E-2 1])
+ xlabel('Eb/No (dB)');
+ ylabel('PER');
+ grid; grid minor on;
+ legend('boxoff');
+ legend("location", "southwest");
+ title('Rate Fs modem PER Pilot/Cyclic Prefix overhead');
+ print('-deps', '-color', "ofdm_dev_per_overhead.eps")
+
+ % SNR including pilots, CP, and 700C est
+
+ snr_awgn_theory = awgn_EbNodB + 10*log10(700/3000);
+ snr_hf_theory = sim_in.EbNodB + 10*log10(700/3000);
+ snr_awgn = snr_awgn_theory + overhead_dB;
+ snr_hf = sim_in.EbNodB + 10*log10(700/3000) + overhead_dB;
+
+ % est 700C: 2/6 symbols are pilots, 1dB implementation loss
+
+ snr_awgn_700c = awgn_EbNodB + 10*log10(700/3000) + 10*log10(6/4) + 1;
+ snr_hf_700c = sim_in.EbNodB + 10*log10(700/3000) + 10*log10(6/4) + 1;
+
+ figure(5); clf;
+ semilogy(snr_awgn_theory, awgn_theory,'b+-;AWGN theory;','markersize', 10, 'linewidth', 2);
+ hold on;
+ semilogy(snr_awgn_700c, awgn_theory,'g+-;AWGN 700C;','markersize', 10, 'linewidth', 2);
+ semilogy(snr_hf_700c, hf_diversity.ber,'go-;HF 700C;','markersize', 10, 'linewidth', 2);
+ semilogy(snr_hf_theory, hf_theory,'b+-;HF theory;','markersize', 10, 'linewidth', 2);
+ semilogy(snr_awgn, awgn_ldpc.ber,'c+-;AWGN LDPC (224,112);','markersize', 10, 'linewidth', 2);
+ semilogy(snr_hf, hf_ldpc.ber,'c+-;HF LDPC (224,112);','markersize', 10, 'linewidth', 2);
+ semilogy(snr_hf, hf_diversity.ber,'bo-;HF diversity;','markersize', 10, 'linewidth', 2);
+ semilogy(snr_hf, hf_ldpc_16.ber,'k+-;HF LDPC (224,112) interleave 16;','markersize', 10, 'linewidth', 2);
+ hold off;
+ axis([-5 8 1E-3 2E-1])
+ xlabel('SNR (3000Hz noise BW) (dB)');
+ ylabel('BER');
+ grid; grid minor on;
+ legend('boxoff');
+ legend("location", "southwest");
+ title('Rate Fs modem BER versus SNR including pilot/CP overhead');
+ print('-deps', '-color', "ofdm_dev_ber_snr.eps")
+
+end
+
+
+% Plot BER and PER curves for AWGN and HF with various estimators
+
+function run_curves_estimators
+
+ Nsec_awgn = 20;
+ Nsec_hf = 60;
+
+ % waveform
+
+ Ts = 0.018; sim_in.Tcp = 0.002;
+ sim_in.Rs = 1/Ts; sim_in.bps = 2; sim_in.Nc = 16; sim_in.Ns = 8;
+
+ % simulation parameters
+
+ sim_in.verbose = 0; sim_in.foff_hz = 0; sim_in.ldpc_en = 0;
+
+ sim_in.phase_est_en = 1;
+ sim_in.timing_en = sim_in.foff_est_en = 0;
+
+ % AWGN simulations
+
+ sim_in.hf_en = 0; sim_in.Nsec = Nsec_awgn; sim_in.EbNodB = 0:2:6;
+ sim_in.timing_en = sim_in.foff_est_en = 0;
+
+ awgn_EbNodB = sim_in.EbNodB;
+ awgn_theory = 0.5*erfc(sqrt(10.^(sim_in.EbNodB/10)));
+ awgn = run_sim(sim_in);
+ sim_in.timing_en = 1; awgn_timing = run_sim(sim_in);
+ sim_in.foff_est_en = 1; awgn_foff_est = run_sim(sim_in);
+
+ sim_in.dfoff_hz_per_sec = 0.02; awgn_dfoff = run_sim(sim_in);
+
+ % HF simulations
+
+ sim_in.hf_en = 1; sim_in.Nsec = Nsec_hf; sim_in.EbNodB = 4:2:8;
+ sim_in.timing_en = sim_in.foff_est_en = 0;
+
+ EbNoLin = 10.^(sim_in.EbNodB/10);
+ hf_theory = 0.5.*(1-sqrt(EbNoLin./(EbNoLin+1)));
+
+ hf = run_sim(sim_in);
+ sim_in.timing_en = 1; hf_timing = run_sim(sim_in);
+ sim_in.timing_en = 0; sim_in.foff_est_en = 1; hf_foff_est = run_sim(sim_in);
+ sim_in.timing_en = 1; hf_timing_foff_est = run_sim(sim_in);
+
+ sim_in.dfoff_hz_per_sec = 0.02; hf_dfoff = run_sim(sim_in); sim_in.dfoff_hz_per_sec = 0.0;
+
+ figure(1); clf;
+ semilogy(awgn_EbNodB, awgn_theory,'b+-;AWGN theory;');
+ hold on;
+ semilogy(awgn_EbNodB, awgn.ber,'r+-;AWGN phase;');
+ semilogy(awgn_EbNodB, awgn_timing.ber,'go-;AWGN phase+timing;');
+ semilogy(awgn_EbNodB, awgn_foff_est.ber,'d+-;AWGN phase+timing+foff_est;');
+ semilogy(awgn_EbNodB, awgn_dfoff.ber,'m+-;AWGN all + 0.02Hz/s drift;');
+ semilogy(sim_in.EbNodB, hf_theory,'b+-;HF theory;');
+ semilogy(sim_in.EbNodB, hf.ber,'r+-;HF phase;');
+ semilogy(sim_in.EbNodB, hf_timing.ber,'go-;HF phase+timing;');
+ semilogy(sim_in.EbNodB, hf_timing_foff_est.ber,'kd-;HF phase+foff_est;');
+ semilogy(sim_in.EbNodB, hf_foff_est.ber,'c+-;HF phase+timing+foff_est;');
+ semilogy(sim_in.EbNodB, hf_dfoff.ber,'m+-;HF + 0.02Hz/s drift;');
+ hold off;
+ axis([0 8 5E-3 1E-1])
+ xlabel('Eb/No (dB)');
+ ylabel('BER');
+ grid; grid minor on;
+ legend('boxoff');
+ legend("location", "southeast");
+ title('Rate Fs modem BER with estimators');
+ print('-deps', '-color', "ofdm_dev_estimators.eps")
+
+ % Simulate different HF path delays
+
+ sim_in.hf_en = 1; sim_in.Nsec = Nsec_hf; sim_in.EbNodB = 4:2:8;
+ sim_in.timing_en = sim_in.foff_est_en = 0;
+
+ sim_in.path_delay_ms = 0; hf0 = run_sim(sim_in);
+ sim_in.path_delay_ms = 0.5; hf500us = run_sim(sim_in);
+ sim_in.path_delay_ms = 1; hf1ms = run_sim(sim_in);
+ sim_in.path_delay_ms = 2; hf2ms = run_sim(sim_in);
+
+ figure(2); clf;
+ semilogy(sim_in.EbNodB, hf_theory,'b+-;HF theory;');
+ hold on;
+ semilogy(sim_in.EbNodB, hf0.ber,'r+-;HF phase 0 ms;');
+ semilogy(sim_in.EbNodB, hf500us.ber,'g+-;HF phase 0.5 ms;');
+ semilogy(sim_in.EbNodB, hf1ms.ber,'c+-;HF phase 1 ms;');
+ semilogy(sim_in.EbNodB, hf2ms.ber,'k+-;HF phase 2 ms;');
+ hold off;
+ axis([3 9 1E-2 1E-1])
+ xlabel('Eb/No (dB)');
+ ylabel('BER');
+ grid; grid minor on;
+ legend('boxoff');
+ legend("location", "southeast");
+ title('Rate Fs modem BER across HF path delay');
+ print('-deps', '-color', "ofdm_dev_estimators.eps")
+end
+
+
+% Plot SNR actual and estimated for various channels
+% Note no acquistion, as this can upset results, e.g. if
+% sync is lost. We average SNR over entire run, in practice
+% there will be some sort of IIR averager.
+
+function run_curves_snr
+
+ Nsec_awgn = 30;
+ Nsec_hf = 60;
+
+ % waveform
+
+ Ts = 0.018; sim_in.Tcp = 0.002;
+ sim_in.Rs = 1/Ts; sim_in.bps = 2; sim_in.Nc = 16; sim_in.Ns = 8;
+
+ % simulation parameters
+
+ sim_in.verbose = 1; sim_in.foff_hz = 0; sim_in.ldpc_en = 0; sim_in.gain = 1;
+ sim_in.phase_est_en = sim_in.timing_en = sim_in.foff_est_en = 1;
+
+ % AWGN simulation
+
+ sim_in.EbNodB = 0:3:12;
+ sim_in.hf_en = 0; sim_in.Nsec = Nsec_awgn;
+
+ awgn = run_sim(sim_in);
+
+ % HF simulations
+
+ sim_in.hf_en = 1; sim_in.Nsec = Nsec_hf; sim_in.dopplerSpreadHz = 1; hf_fast = run_sim(sim_in);
+ sim_in.dopplerSpreadHz = 0.5; hf_mid = run_sim(sim_in);
+ sim_in.dopplerSpreadHz = 0.2; hf_slow = run_sim(sim_in);
+
+ figure(1); clf;
+ plot(sim_in.EbNodB, awgn.snrdB,'b+-;AWGN SNR;');
+ hold on;
+ plot(sim_in.EbNodB, awgn.snr_estdB ,'g+-;AWGN SNR est;');
+ plot(sim_in.EbNodB, hf_slow.snr_estdB,'k+-;HF 0.2 Hz SNR est;');
+ plot(sim_in.EbNodB, hf_mid.snr_estdB ,'r+-;HF 0.5 Hz SNR est;');
+ plot(sim_in.EbNodB, hf_fast.snr_estdB,'c+-;HF 1.0 Hz SNR est;');
+ hold off;
+ xlabel('Eb/No (dB)');
+ ylabel('SNR (dB)');
+ grid;
+ legend('boxoff');
+ title('SNR Actual and Estimated');
+ legend("location", "northwest");
+ print('-deps', '-color', "ofdm_dev_snr.eps")
+
+end
+
+
+% Run an acquisition test, returning vectors of estimation errors.
+% Generates a vector of noise followed by continous rx signal to
+% simulate signal starting. We then measure how long it takes to
+% get good timing and freq estimates.
+
+function [delta_ct delta_foff timing_mx_log] = acquisition_test(mode="700D", Ntests=10, EbNodB=100, foff_hz=0, hf_en=0, verbose=0)
+
+ [bps Rs Tcp Ns Nc] = ofdm_init_mode(mode);
+ states = ofdm_init(bps, Rs, Tcp, Ns, Nc);
+ sim_in.Tcp = Tcp;
+ sim_in.Rs = Rs; sim_in.bps = bps; sim_in.Nc = Nc; sim_in.Ns = Ns;
+
+ sim_in.Nsec = (Ntests+1)*(sim_in.Ns+1)/sim_in.Rs;
+
+ #{
+ Notes:
+ 1) uncoded modem operating point, e.g -1dB for AWGN
+ 2) run_sim adds complex noise, when we take the real() below, this relects
+ the -ve noise over to the +ve side, increasing the noise by 3dB. In
+ ofdm_tx.m and friends, we add real nosie that is correctly scaled so
+ no problemo. This means we need to increase the Eb/No below by 3dB
+ to ensure the correct level of noise at the input of the timing_est.
+ #}
+
+ sim_in.EbNodB = EbNodB + 3;
+ sim_in.verbose = 0;
+ sim_in.hf_en = hf_en;
+ sim_in.foff_hz = foff_hz;
+ sim_in.gain = 1;
+ sim_in.timing_en = 1;
+ sim_in.foff_est_en = 1;
+ sim_in.phase_est_en = 1;
+ sim_in.ldpc_en = 0;
+
+ % optionally stick a bunch of noise in front of signal to confuse things
+
+ sim_in.initial_noise_sams = 0;
+
+ [sim_out rx states] = run_sim(sim_in);
+
+ states.verbose = verbose;
+
+ % set up acquistion
+
+ Nsamperframe = states.Nsamperframe; M = states.M; Ncp = states.Ncp;
+ rate_fs_pilot_samples = states.rate_fs_pilot_samples;
+
+ % test fine or acquisition over test signal
+
+ delta_ct = []; delta_foff = []; timing_mx_log = []; foff_metric_log = [];
+
+
+ % coarse acquiistion test. We have no idea of timing or freq
+ % offset for coarse we just use constant window shifts to simulate
+ % a bunch of trials, this allows averaging of freq est
+ % metric over time as we receive more and more frames
+
+ st = 0.5*Nsamperframe;
+ en = 2.5*Nsamperframe - 1; % note this gives Nsamperframe possibilities for coarse timing
+
+ % actual known position of correct coarse timing
+
+ ct_target = mod(sim_in.initial_noise_sams + Nsamperframe/2, Nsamperframe);
+
+ i = 1;
+ states.foff_metric = 0;
+ for w=1:Nsamperframe:length(rx)-4*Nsamperframe
+ [ct_est timing_valid timing_mx] = est_timing(states, real(rx(w+st:w+en)), rate_fs_pilot_samples, 1);
+ foff_est = est_freq_offset_pilot_corr(states, real(rx(w+st:w+en)), rate_fs_pilot_samples, ct_est);
+ if states.verbose
+ printf("i: %2d w: %5d ct_est: %4d foff_est: %5.1f timing_mx: %3.2f timing_vld: %d\n", i++, w, ct_est, foff_est, timing_mx, timing_valid);
+ end
+
+ % valid coarse timing ests are modulo Nsamperframe
+
+ delta_ct = [delta_ct ct_est-ct_target];
+ delta_foff = [delta_foff (foff_est-foff_hz)];
+ timing_mx_log = [timing_mx_log; timing_mx];
+ foff_metric_log = [foff_metric_log states.foff_metric];
+ end
+
+ if states.verbose > 1
+ %printf("mean: %f std: %f\n", mean(delta_foff), std(delta_foff));
+ figure(1); clf; plot(timing_mx_log,'+-');
+ figure(2); clf; plot(delta_ct,'+-');
+ figure(3); clf; plot(delta_foff,'+-');
+ figure(4); clf; plot(foff_metric_log,'+');
+ figure(5); clf; plot(real(rx))
+ end
+
+endfunction
+
+
+#{
+
+ Generates aquisistion statistics for AWGN and HF channels for
+ continuous signals. Probability of acquistion is what matters,
+ e.g. if it's 50% we can expect sync within 2 frames.
+
+#}
+
+function res = acquisition_histograms(mode="700D", fine_en = 0, foff, EbNoAWGN=-1, EbNoHF=3, verbose=1)
+ Fs = 8000;
+ Ntests = 100;
+
+ % allowable tolerance for acquistion
+
+ ftol_hz = 1.5; % we can sync up on this
+ ttol_samples = 0.002*Fs; % 2ms, ie CP length
+
+ % AWGN channel at uncoded Eb/No operating point
+
+ [dct dfoff] = acquisition_test(mode, Ntests, EbNoAWGN, foff, 0, fine_en);
+
+ % Probability of acquistion is what matters, e.g. if it's 50% we can
+ % expect sync within 2 frames
+
+ PtAWGN = length(find (abs(dct) < ttol_samples))/length(dct);
+ printf("AWGN P(time offset acq) = %3.2f\n", PtAWGN);
+ if fine_en == 0
+ PfAWGN = length(find (abs(dfoff) < ftol_hz))/length(dfoff);
+ printf("AWGN P(freq offset acq) = %3.2f\n", PfAWGN);
+ end
+
+ if verbose
+ figure(1); clf;
+ hist(dct(find (abs(dct) < ttol_samples)))
+ t = sprintf("Coarse Timing Error AWGN EbNo = %3.2f foff = %3.1f", EbNoAWGN, foff);
+ title(t)
+ if fine_en == 0
+ figure(2)
+ hist(dfoff(find(abs(dfoff) < 2*ftol_hz)))
+ t = sprintf("Coarse Freq Error AWGN EbNo = %3.2f foff = %3.1f", EbNoAWGN, foff);
+ title(t);
+ end
+ end
+
+ % HF channel at uncoded operating point
+
+ [dct dfoff] = acquisition_test(mode, Ntests, EbNoHF, foff, 1, fine_en);
+
+ PtHF = length(find (abs(dct) < ttol_samples))/length(dct);
+ printf("HF P(time offset acq) = %3.2f\n", PtHF);
+ if fine_en == 0
+ PfHF = length(find (abs(dfoff) < ftol_hz))/length(dfoff)
+ printf("HF P(freq offset acq) = %3.2f\n", PfHF);
+ end
+
+ if verbose
+ figure(3); clf;
+ hist(dct(find (abs(dct) < ttol_samples)))
+ t = sprintf("Coarse Timing Error HF EbNo = %3.2f foff = %3.1f", EbNoHF, foff);
+ title(t)
+ if fine_en == 0
+ figure(4)
+ hist(dfoff(find(abs(dfoff) < 2*ftol_hz)))
+ t = sprintf("Coarse Freq Error HF EbNo = %3.2f foff = %3.1f", EbNoHF, foff);
+ title(t);
+ end
+ end
+
+ res = [PtAWGN PfAWGN PtHF PfHF];
+endfunction
+
+
+% plot some curves of Acquisition probability against EbNo and freq offset
+
+function acquistion_curves(mode="700D")
+
+ EbNo = [-1 2 5 8 20];
+ %foff = [-20 -15 -10 -5 0 5 10 15 20];
+ foff = [-15 -5 0 5 15];
+ cc = ['b' 'g' 'k' 'c' 'm'];
+
+ figure(1); clf; hold on; title('P(timing) AWGN'); xlabel('Eb/No dB'); legend('location', 'southeast');
+ figure(2); clf; hold on; title('P(freq) AWGN'); xlabel('Eb/No dB'); legend('location', 'southeast');
+ figure(3); clf; hold on; title('P(timing) HF'); xlabel('Eb/No dB'); legend('location', 'southeast');
+ figure(4); clf; hold on; title('P(freq) HF'); xlabel('Eb/No dB'); legend('location', 'southeast');
+
+ for f=1:4
+ ylim([0 1]);
+ end
+
+ for f = 1:length(foff)
+ afoff = foff(f);
+ res_log = [];
+ for e = 1:length(EbNo)
+ aEbNo = EbNo(e);
+ res = zeros(1,4);
+ res = acquisition_histograms(mode, fine_en = 0, afoff, aEbNo, aEbNo+4, verbose = 0);
+ res_log = [res_log; res];
+ end
+ figure(1); l = sprintf('%c+-;%3.1f Hz;', cc(f), afoff); plot(EbNo, res_log(:,1), l);
+ figure(2); l = sprintf('%c+-;%3.1f Hz;', cc(f), afoff); plot(EbNo, res_log(:,3), l);
+ figure(3); l = sprintf('%c+-;%3.1f Hz;', cc(f), afoff); plot(EbNo+4, res_log(:,2), l);
+ figure(4); l = sprintf('%c+-;%3.1f Hz;', cc(f), afoff); plot(EbNo+4, res_log(:,4), l);
+ end
+
+ figure(1); print('-deps', '-color', sprintf("ofdm_dev_acq_curves_time_awgn_%s.eps", mode))
+ figure(2); print('-deps', '-color', sprintf("ofdm_dev_acq_curves_freq_awgn_%s.eps", mode))
+ figure(3); print('-deps', '-color', sprintf("ofdm_dev_acq_curves_time_hf_%s.eps", mode))
+ figure(4); print('-deps', '-color', sprintf("ofdm_dev_acq_curves_freq_hf_%s.eps", mode))
+endfunction
+
+
+% Used to develop sync state machine - in particular a metric to show
+% we are out of sync, or have sync with a bad freq offset est, or have
+% lost modem signal
+
+function sync_metrics(mode = "700D", x_axis = 'EbNo')
+ Fs = 8000;
+ Ntests = 4;
+ f_offHz = [-25:25];
+ EbNodB = [-10 0 3 6 10 20];
+ %f_offHz = [-5:5:5];
+ %EbNodB = [-10 0 10];
+ cc = ['b' 'g' 'k' 'c' 'm' 'b'];
+ pt = ['+' '+' '+' '+' '+' 'o'];
+
+ mean_mx1_log = mean_dfoff_log = [];
+ for f = 1:length(f_offHz)
+ af_offHz = f_offHz(f);
+ mean_mx1_row = mean_dfoff_row = [];
+ for e = 1:length(EbNodB)
+ aEbNodB = EbNodB(e);
+ [dct dfoff timing_mx_log] = acquisition_test(mode, Ntests, aEbNodB, af_offHz);
+ mean_mx1 = mean(timing_mx_log(:,1));
+ printf("f_offHz: %5.2f EbNodB: % 6.2f mx1: %3.2f\n", af_offHz, aEbNodB, mean_mx1);
+ mean_mx1_row = [mean_mx1_row mean_mx1];
+ mean_dfoff_row = [mean_dfoff_row mean(dfoff)];
+ end
+ mean_mx1_log = [mean_mx1_log; mean_mx1_row];
+ mean_dfoff_log = [mean_dfoff_log; mean_dfoff_row];
+ end
+
+ figure(1); clf; hold on; grid;
+ if strcmp(x_axis,'EbNo')
+ for f = 1:length(f_offHz)
+ if f == 2, hold on, end;
+ leg1 = sprintf("b+-;mx1 %4.1f Hz;", f_offHz(f));
+ plot(EbNodB, mean_mx1_log(f,:), leg1)
+ end
+ hold off;
+ xlabel('Eb/No (dB)');
+ ylabel('Coefficient')
+ title('Pilot Correlation Metric against Eb/No for different Freq Offsets');
+ legend("location", "northwest"); legend("boxoff");
+ axis([min(EbNodB) max(EbNodB) 0 1.2])
+ print('-deps', '-color', "ofdm_dev_pilot_correlation_ebno.eps")
+ end
+
+ if strcmp(x_axis,'freq')
+ % x axis is freq
+
+ for e = length(EbNodB):-1:1
+ leg1 = sprintf("%c%c-;mx1 %3.0f dB;", cc(e), pt(e), EbNodB(e));
+ plot(f_offHz, mean_mx1_log(:,e), leg1)
+ end
+ hold off;
+ xlabel('freq offset (Hz)');
+ ylabel('Coefficient')
+ title('Pilot Correlation Metric against Freq Offset for different Eb/No dB');
+ legend("location", "northwest"); legend("boxoff");
+ axis([min(f_offHz) max(f_offHz) 0 1])
+ print('-deps', '-color', "ofdm_dev_pilot_correlation_freq.eps")
+
+ mean_dfoff_log
+
+ figure(2); clf;
+ for e = 1:length(EbNodB)
+ if e == 2, hold on, end;
+ leg1 = sprintf("+-;mx1 %3.0f dB;", EbNodB(e));
+ plot(f_offHz, mean_dfoff_log(:,e), leg1)
+ end
+ hold off;
+ xlabel('freq offset (Hz)');
+ ylabel('Mean Freq Est Error')
+ title('Freq Est Error against Freq Offset for different Eb/No dB');
+ axis([min(f_offHz) max(f_offHz) -5 5])
+ end
+
+endfunction
+
+
+% during development it was discovered demod could obtain a false sync with no UW
+% errors at +/- 7Hz, approx the frame rate. This function is used to explore that
+
+function debug_false_sync(EbNodB = 100)
+ Ts = 0.018;
+ sim_in.Tcp = 0.002;
+ sim_in.Rs = 1/Ts; sim_in.bps = 2; sim_in.Nc = 17; sim_in.Ns = 8;
+
+ sim_in.Nsec = (sim_in.Ns+1)/sim_in.Rs; % one frame, make sure sim_in.interleave_frames = 1
+ sim_in.Nsec = 1;
+
+ sim_in.EbNodB = 40;
+ sim_in.verbose = 0;
+ sim_in.hf_en = 0;
+ sim_in.foff_hz = 0;
+ sim_in.dfoff_hz_per_sec = 0.00;
+ sim_in.sample_clock_offset_ppm = 0;
+ sim_in.gain = 1;
+
+ sim_in.timing_en = 0;
+ sim_in.foff_est_en = 0;
+ sim_in.phase_est_en = 1;
+
+ load HRA_112_112.txt
+ sim_in.ldpc_code = HRA_112_112;
+ sim_in.ldpc_en = 0;
+
+ %sim_in.interleave_frames = 1;
+ %sim_in.diversity_en = 1;
+
+ sim_in.uw_debug = 1;
+
+ foff = -25:0.5:25;
+ for f=1:length(foff)
+ sim_in.foff_hz = foff(f);
+ sim_out = run_sim(sim_in);
+ min_uw_errors(f) = min(sim_out.uw_errors_log(2:end-1));
+ printf("f: %4.2f %2d\n", foff(f), min_uw_errors(f));
+ end
+ figure(1); clf;
+ plot(foff, min_uw_errors);
+ title('UW errors versus freq offset');
+ xlabel('Freq Offset (Hz)');
+end
+
+#{
+% Using an input raw file, plot frame by frame metric information,
+% used to debug false syncs
+
+function metric_fbf(fn, Nsec)
+ Ts = 0.018;
+ states = ofdm_init(bps=2, Rs=1/Ts, Tcp=0.002, Ns=8, Nc=17);
+ ofdm_load_const;
+ states.verbose = 2;
+
+ % factor of 2 as input is a real valued signal
+
+ Ascale = states.amp_scale/2;
+ f = fopen(fn,"rb"); rx = fread(f,Inf,"short")'/Ascale; fclose(f);
+ if (nargin == 2) && (length(rx) > Nsec*Fs)
+ rx = rx(1:Nsec*Fs);
+ end
+
+ Nsam = length(rx); Nframes = floor(Nsam/Nsamperframe) - 2;
+
+ % main loop ----------------------------------------------------------------
+
+ ct_est_log = timing_mx_log = st_log = foff_est_log = foff_metric_log = [];
+ for f=1:Nframes
+ st = (f-1)*Nsamperframe+1; en = st + 2*Nsamperframe;
+ [ct_est timing_valid timing_mx] = est_timing(states, rx(st:en)', states.rate_fs_pilot_samples);
+ foff_est = est_freq_offset_pilot_corr(states, rx(st:en)', states.rate_fs_pilot_samples, ct_est);
+
+ printf("i: %2d w: %5d ct_est: %4d foff_est: %5.1f timing_mx: %3.2f timing_vld: %d\n", f, st, ct_est, foff_est, timing_mx, timing_valid);
+
+ i = 1; w_log = timing_mx_log = av_level_log = [];
+ states.foff_metric = 0;
+ for w=1:Nsamperframe:length(rx)-4*Nsamperframe
+ printf("%3d %5d", i,w);
+ #{
+ if i == 30
+ states.verbose = 3;
+ else
+ states.verbose = 2;
+ end
+ #}
+ [ct_est timing_valid timing_mx av_level] = est_timing(states, real(rx(w+st:w+en)), states.rate_fs_pilot_samples);
+ i++;
+ w_log = [w_log w];
+ timing_mx_log = [timing_mx_log timing_mx];
+ av_level_log = [av_level_log av_level];
+ end
+
+ figure(1); clf; plot(timing_mx_log,'+-'); title('mx');
+ figure(2); clf; plot(ct_est_log,'+-'); title('ct');
+ figure(3); clf; plot(foff_est_log,'+-'); title('foff est');
+ figure(4); clf; hist(foff_est_log); title('foff est');
+ figure(5); clf; plot(real(rx)); axis([1 length(rx) -max(abs(rx)) max(abs(rx))]);
+ figure(6); clf; plot_specgram(rx); axis([0 Nsec 500 2500])
+
+ figure(2); clf;
+ mx = max(abs(rx));
+ subplot(211); plot(rx); axis([0 Nsam -mx mx]);
+ subplot(212); hold on;
+ plot(w_log,timing_mx_log,'b+-;timing mx;');
+ plot(w_log,av_level_log,'g+-;av level;');
+ hold off;
+endfunction
+#}
+
+% ---------------------------------------------------------
+% choose simulation to run here
+% ---------------------------------------------------------
+
+format;
+more off;
+
+path_to_cml = '~/cml';
+addpath(strcat(path_to_cml, "/mex"), strcat(path_to_cml, "/mat"));
+if exist("Somap") == 0
+ printf("Can't find CML mex directory so we wont init CML...\n");
+else
+ printf("OK found CML mex directory so will init CML...\n");
+ init_cml('~/cml/');
+end
+
+%run_single(100);
+%run_curves
+%run_curves_estimators
+%acquisition_histograms("700D", fin_en=0, foff_hz=-15, EbNoAWGN=-1, EbNoHF=3)
+%acquisition_test("700D", Ntests=10, EbNodB=-1, foff_hz=0, hf_en=0, verbose=1);
+%sync_metrics('freq')
+%run_curves_snr
+%acquisition_dev(Ntests=10, EbNodB=100, foff_hz=0)
+%acquistion_curves
+%debug_false_sync
+%metric_fbf("ofdm_test.raw")
diff --git a/libcodec2-android/src/codec2/octave/ofdm_ldpc_rx.m b/libcodec2-android/src/codec2/octave/ofdm_ldpc_rx.m
new file mode 100644
index 0000000..bca3da5
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ofdm_ldpc_rx.m
@@ -0,0 +1,270 @@
+% ofdm_ldpc_rx.m
+% David Rowe April 2017
+%
+% OFDM file based rx, with LDPC and interleaver, Octave version of src/ofdm_demod.c
+
+function time_to_sync = ofdm_ldpc_rx(filename, mode="700D", error_pattern_filename, start_secs, len_secs=0)
+ ofdm_lib;
+ ldpc;
+ gp_interleaver;
+ more off;
+
+ % optional DPSK testing
+ dpsk = 0;
+ if strcmp(mode,"700D-DPSK")
+ mode = "700D"; dpsk = 1;
+ end
+ if strcmp(mode,"2020-DPSK")
+ mode = "2020"; dpsk = 1;
+ end
+
+ % init modem
+
+ config = ofdm_init_mode(mode);
+ states = ofdm_init(config);
+ ofdm_load_const;
+ states.verbose = 1;
+ states.dpsk = dpsk;
+
+ % some constants used for assembling modem frames
+
+ [code_param Nbitspercodecframe Ncodecframespermodemframe] = codec_to_frame_packing(states, mode);
+
+ % load real samples from file
+
+ Ascale= states.amp_scale/2.0; % /2 as real signal has half amplitude
+ frx=fopen(filename,"rb"); rx = fread(frx, Inf, "short")/Ascale; fclose(frx);
+ if (nargin >= 5) printf("start_secs: %d\n", start_secs); rx = rx(start_secs*Fs+1:end); end
+ if (nargin >= 6) printf("len_secs: %d\n", len_secs); rx = rx(1:len_secs*Fs); end
+ Nsam = length(rx); Nframes = floor(Nsam/Nsamperframe);
+ prx = 1;
+
+ % Generate tx frame for BER calcs
+
+ payload_bits = round(ofdm_rand(code_param.data_bits_per_frame)/32767);
+ tx_bits = fec_encode(states, code_param, mode, payload_bits, Ncodecframespermodemframe, Nbitspercodecframe);
+
+ % Some handy constants
+
+ Nsymsperframe = Nbitsperframe/bps;
+ Nsymsperpacket = Nbitsperpacket/bps;
+ Ncodedbitsperpacket = code_param.coded_bits_per_frame;
+ Ncodedsymsperpacket = code_param.coded_syms_per_frame;
+
+ % init logs and BER stats
+
+ rx_bits = []; rx_np_log = []; timing_est_log = []; delta_t_log = []; foff_est_hz_log = [];
+ phase_est_pilot_log = [];
+ sig_var_log = []; noise_var_log = [];
+ Terrs = Tbits = Terrs_coded = Tbits_coded = Perrs_coded = 0;
+ Nerrs_coded_log = Nerrs_log = [];
+ error_positions = [];
+ Nerrs_coded = Nerrs_raw = 0;
+ paritychecks = [0];
+ time_to_sync = -1;
+ rx_uw = zeros(1,states.Nuwbits);
+
+ rx_syms = zeros(1,Nsymsperpacket); rx_amps = zeros(1,Nsymsperpacket);
+ packet_count = frame_count = 0;
+
+ #{
+ % 'prime' rx buf to get correct coarse timing (for now)
+
+ prx = 1;
+ nin = Nsamperframe+2*(M+Ncp);
+ states.rxbuf(Nrxbuf-nin+1:Nrxbuf) = rx(prx:nin);
+ prx += nin;
+ #}
+
+ % main loop ----------------------------------------------------------------
+
+ for f=1:Nframes
+
+ % insert samples at end of buffer, set to zero if no samples
+ % available to disable phase estimation on future pilots on last
+ % frame of simulation
+
+ lnew = min(Nsam-prx,states.nin);
+ rxbuf_in = zeros(1,states.nin);
+
+ if lnew
+ rxbuf_in(1:lnew) = rx(prx:prx+lnew-1);
+ end
+ prx += states.nin;
+
+ if states.verbose
+ printf("f: %3d nin: %4d st: %-6s ", f, states.nin, states.sync_state);
+ end
+
+ if strcmp(states.sync_state,'search')
+ [timing_valid states] = ofdm_sync_search(states, rxbuf_in);
+ end
+
+ if strcmp(states.sync_state,'synced') || strcmp(states.sync_state,'trial')
+ % accumulate a buffer of data symbols for this packet
+ rx_syms(1:end-Nsymsperframe) = rx_syms(Nsymsperframe+1:end);
+ rx_amps(1:end-Nsymsperframe) = rx_amps(Nsymsperframe+1:end);
+ [states rx_bits aphase_est_pilot_log arx_np arx_amp] = ofdm_demod(states, rxbuf_in);
+ rx_syms(end-Nsymsperframe+1:end) = arx_np;
+ rx_amps(end-Nsymsperframe+1:end) = arx_amp;
+
+ rx_uw = extract_uw(states, rx_syms(end-Nuwframes*Nsymsperframe+1:end));
+
+ % We need the full packet of symbols before disassembling and checking for bit errors
+ if (states.modem_frame == (states.Np-1))
+ packet_count++;
+
+ % unpack, de-interleave PSK symbols and symbol amplitudes
+ [rx_uw payload_syms payload_amps txt_bits] = disassemble_modem_packet(states, rx_syms, rx_amps);
+ payload_syms_de = gp_deinterleave(payload_syms);
+ payload_amps_de = gp_deinterleave(payload_amps);
+
+ % Count uncoded (raw) errors
+ rx_bits = zeros(1,Ncodedbitsperpacket);
+ for s=1:Ncodedsymsperpacket
+ rx_bits(2*s-1:2*s) = qpsk_demod(payload_syms_de(s));
+ end
+ errors = xor(tx_bits, rx_bits);
+ Nerrs = sum(errors);
+ Nerrs_log = [Nerrs_log Nerrs]; Nerrs_raw = Nerrs;
+ Terrs += Nerrs;
+ Tbits += Nbitsperpacket;
+
+ % LDPC decode
+
+ rx_bits = []; mean_amp = states.mean_amp;
+ if strcmp(mode, "700D") || strcmp(mode, "datac1") || strcmp(mode, "datac2") || strcmp(mode, "datac3") || strcmp(mode, "qam16")
+ if states.noise_var
+ EsNo = states.sig_var/states.noise_var;
+ else
+ EsNo = 3;
+ end
+ [rx_codeword paritychecks] = ldpc_dec(code_param, mx_iter=100, demod=0, dec=0, ...
+ payload_syms_de/mean_amp, min(EsNo,30), payload_amps_de/mean_amp);
+ arx_bits = rx_codeword(1:code_param.data_bits_per_frame);
+ errors = xor(payload_bits, arx_bits);
+ Nerrs_coded = sum(errors);
+ rx_bits = [rx_bits arx_bits];
+ end
+
+ if Nerrs_coded Perrs_coded++; end
+ Terrs_coded += Nerrs_coded;
+ Tbits_coded += code_param.data_bits_per_frame;
+ Nerrs_coded_log = [Nerrs_coded_log Nerrs_coded];
+ end
+
+ % we are in sync so log modem states
+
+ rx_np_log = [rx_np_log arx_np];
+ timing_est_log = [timing_est_log states.timing_est];
+ delta_t_log = [delta_t_log states.delta_t];
+ foff_est_hz_log = [foff_est_hz_log states.foff_est_hz];
+ phase_est_pilot_log = [phase_est_pilot_log; aphase_est_pilot_log];
+ sig_var_log = [sig_var_log states.sig_var];
+ noise_var_log = [noise_var_log states.noise_var];
+ frame_count++;
+ end
+
+ if strcmp(mode,"datac1") || strcmp(mode,"datac2") || strcmp(mode,"datac3") || strcmp(mode,"qam16")
+ states = sync_state_machine2(states, rx_uw);
+ else
+ states = sync_state_machine(states, rx_uw);
+ end
+
+ if states.verbose
+ if strcmp(states.last_sync_state,'synced') || strcmp(states.last_sync_state,'trial')
+ pcc = max(paritychecks);
+ iter = 0;
+ for i=1:length(paritychecks)
+ if paritychecks(i) iter=i; end
+ end
+ % complete logging line
+ printf("euw: %2d %d mf: %2d pbw: %s eraw: %3d ecod: %3d iter: %3d pcc: %3d foff: %4.1f",
+ states.uw_errors, states.sync_counter, states.modem_frame, states.phase_est_bandwidth(1),
+ Nerrs_raw, Nerrs_coded, iter, pcc, states.foff_est_hz);
+ % detect a sucessful sync (for tests calling this function)
+ if (time_to_sync < 0) && (strcmp(states.sync_state,'synced') || strcmp(states.sync_state,'trial'))
+ if (pcc > 80) && (iter != 100)
+ time_to_sync = f*Nsamperframe/Fs;
+ end
+ end
+ end
+ printf("\n");
+ end
+
+ % act on any events returned by modem sync state machine
+
+ if states.sync_start
+ Nerrs_raw = Nerrs_coded = 0;
+ Nerrs_log = [];
+ Terrs = Tbits = 0;
+ Tpacketerrs = Tpackets = 0;
+ Terrs_coded = Tbits_coded = 0;
+ error_positions = Nerrs_coded_log = [];
+ end
+ end
+
+ printf("Raw BER..: %5.4f Tbits: %5d Terrs: %5d\n", Terrs/(Tbits+1E-12), Tbits, Terrs);
+ printf("Coded BER: %5.4f Tbits: %5d Terrs: %5d\n", Terrs_coded/(Tbits_coded+1E-12), Tbits_coded, Terrs_coded);
+ printf("Coded PER: %5.4f Pckts: %5d Perrs: %5d\n", Perrs_coded/(packet_count+1E-12), packet_count, Perrs_coded);
+
+ if length(rx_np_log)
+ figure(1); clf;
+ plot(rx_np_log,'+');
+ mx = max(abs(rx_np_log));
+ axis([-mx mx -mx mx]);
+ title('Scatter');
+
+ figure(2); clf;
+ plot(phase_est_pilot_log,'g+', 'markersize', 5);
+ title('Phase est');
+ axis([1 length(phase_est_pilot_log) -pi pi]);
+
+ figure(3); clf;
+ subplot(211)
+ stem(delta_t_log)
+ title('delta t');
+ subplot(212)
+ plot(timing_est_log);
+ title('timing est');
+
+ figure(4); clf;
+ plot(foff_est_hz_log)
+ mx = max(abs(foff_est_hz_log));
+ axis([1 max(Nframes,2) -mx mx]);
+ title('Fine Freq');
+ ylabel('Hz')
+ end
+
+ if length(Nerrs_log) > 1
+ figure(5); clf;
+ subplot(211)
+ stem(Nerrs_log);
+ title('Uncoded errrors/modem frame')
+ axis([1 length(Nerrs_log) 0 Nbitsperpacket*0.2]);
+ if length(Nerrs_coded_log)
+ subplot(212)
+ stem(Nerrs_coded_log);
+ title('Coded errors/mode frame')
+ axis([1 length(Nerrs_coded_log) 0 Nbitsperpacket*0.2]);
+ end
+ end
+
+ figure(6); clf;
+ snr_estdB = 10*log10(sig_var_log) - 10*log10(noise_var_log) + 10*log10(Nc*Rs/3000);
+ snr_smoothed_estdB = filter(0.1,[1 -0.9],snr_estdB);
+ plot(snr_smoothed_estdB);
+ title('Signal and Noise Power estimates');
+ ylabel('SNR (dB)')
+
+ figure(7); clf; plot_specgram(rx);
+ if len_secs
+ axis([0 len_secs 500 2500])
+ end
+
+ if (nargin == 4) && strlen(error_pattern_filename)
+ fep = fopen(error_pattern_filename, "wb");
+ fwrite(fep, error_positions, "uchar");
+ fclose(fep);
+ end
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/ofdm_ldpc_tx.m b/libcodec2-android/src/codec2/octave/ofdm_ldpc_tx.m
new file mode 100644
index 0000000..c98921d
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ofdm_ldpc_tx.m
@@ -0,0 +1,68 @@
+% ofdm_ldpc_tx.m
+% David Rowe April 2017
+%
+% File based ofdm tx with LDPC encoding and interleaver. Generates a
+% file of ofdm samples, including optional channel simulation.
+
+function ofdm_ldpc_tx(filename, mode="700D", Nsec, SNR3kdB=100, channel='awgn', freq_offset_Hz=0)
+ ofdm_lib;
+ ldpc;
+ gp_interleaver;
+ channel_lib;
+ randn('seed',1);
+ more off;
+
+ % init modem
+
+ config = ofdm_init_mode(mode);
+ states = ofdm_init(config);
+ print_config(states);
+ ofdm_load_const;
+
+ % some constants used for assembling modem frames
+
+ [code_param Nbitspercodecframe Ncodecframespermodemframe] = codec_to_frame_packing(states, mode);
+
+ % Generate fixed test frame of tx bits and run OFDM modulator
+
+ Npackets = round(Nsec/states.Tpacket);
+
+ % OK generate a modem frame using random payload bits
+
+ if strcmp(mode, "700D")
+ payload_bits = round(ofdm_rand(code_param.data_bits_per_frame)/32767);
+ elseif strcmp(mode, "2020")
+ payload_bits = round(ofdm_rand(Ncodecframespermodemframe*Nbitspercodecframe)/32767);
+ elseif strcmp(mode, "datac1") || strcmp(mode, "datac2") || strcmp(mode, "datac3") || strcmp(mode, "qam16")
+ payload_bits = round(ofdm_rand(code_param.data_bits_per_frame)/32767);
+ end
+ [packet_bits bits_per_packet] = fec_encode(states, code_param, mode, payload_bits, Ncodecframespermodemframe, Nbitspercodecframe);
+
+ % modulate to create symbols and interleave
+ tx_bits = tx_symbols = [];
+ tx_bits = [tx_bits payload_bits];
+ for b=1:2:bits_per_packet
+ tx_symbols = [tx_symbols qpsk_mod(packet_bits(b:b+1))];
+ end
+ assert(gp_deinterleave(gp_interleave(tx_symbols)) == tx_symbols);
+ tx_symbols = gp_interleave(tx_symbols);
+
+ % generate txt (non FEC protected) symbols
+ txt_bits = zeros(1,Ntxtbits);
+ txt_symbols = [];
+ for b=1:2:length(txt_bits)
+ txt_symbols = [txt_symbols qpsk_mod(txt_bits(b:b+1))];
+ end
+
+ % assemble interleaved modem packet that include UW and txt symbols
+ modem_packet = assemble_modem_packet_symbols(states, tx_symbols, txt_symbols);
+ atx = ofdm_txframe(states, modem_packet); tx = [];
+ for f=1:Npackets
+ tx = [tx atx];
+ end
+ Nsam = length(tx);
+
+ printf("Packets: %3d SNR(3k): %3.1f dB foff: %3.1f Hz ", Npackets, SNR3kdB, freq_offset_Hz);
+ rx = channel_simulate(Fs, SNR3kdB, freq_offset_Hz, channel, tx);
+ frx=fopen(filename,"wb"); fwrite(frx, states.amp_scale*rx, "short"); fclose(frx);
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/ofdm_lib.m b/libcodec2-android/src/codec2/octave/ofdm_lib.m
new file mode 100644
index 0000000..1d5e97c
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ofdm_lib.m
@@ -0,0 +1,1432 @@
+% ofdm_lib.m
+% David Rowe Mar 2017
+
+#{
+ Library of functions that implement a PSK OFDM modem. Rate Fs
+ verison of ofdm_rs.m with OFDM based up and down conversion, and all
+ those nasty real-world details like fine freq, timing.
+#}
+
+1;
+qam16;
+
+%-------------------------------------------------------------
+% ofdm_init
+%-------------------------------------------------------------
+
+#{
+
+ Modem frame has a pilot every Ns symbols. There are Ns-1 data
+ symbols between every pilot.
+
+ e.g. for Ns=4, Nc=6:
+
+ |-Nc-| Time
+ DDDDDD |
+ PPPPPPPP --- |
+ DDDDDD | |
+ DDDDDD Ns |
+ DDDDDD | |
+ PPPPPPPP --- \|/
+ DDDDDD | |
+
+ Freq------------------>
+
+ In this figure, time flows down, freq across.
+#}
+
+function states = ofdm_init(config)
+ if isfield(config,"bps") bps = config.bps; else bps=2; end
+ Rs = config.Rs; Tcp = config.Tcp; Ns = config.Ns; Nc = config.Nc;
+ if isfield(config,"Np") Np = config.Np; else Np = 1; end
+ if isfield(config,"Ntxtbits") Ntxtbits = config.Ntxtbits ; else Ntxtbits = 4; end
+ if isfield(config,"Nuwbits") Nuwbits = config.Nuwbits ; else Nuwbits = 5*bps; end
+ if isfield(config,"Nuwbits") Nuwbits = config.Nuwbits ; else Nuwbits = 5*bps; end
+ if isfield(config,"ftwindow_width") ftwindow_width = config.ftwindow_width; else ftwindow_width = 11; end
+ if isfield(config,"timing_mx_thresh") timing_mx_thresh = config.timing_mx_thresh; else timing_mx_thresh = 0.35; end
+ if isfield(config,"tx_uw") tx_uw = config.tx_uw; else tx_uw = zeros(1,Nuwbits); end
+ if isfield(config,"bad_uw_errors") bad_uw_errors = config.bad_uw_errors; else bad_uw_errors = 3; end
+
+ states.Fs = 8000;
+ states.bps = bps;
+ states.Rs = Rs;
+ states.Tcp = Tcp;
+ states.Ns = Ns; % one pilot every Ns symbols, e.g. Ns=3, ...PDDDPDDDP...
+ states.Nc = Nc; % Number of carriers
+ states.M = states.Fs/Rs; % oversampling rate
+ states.Ncp = Tcp*states.Fs;
+ states.Nbitsperframe = (Ns-1)*Nc*bps; % total bits in all data symbols in modem frame
+ states.Nsampersymbol = states.M+states.Ncp; % number of samples in a single symbol
+ states.Nsamperframe = Ns*states.Nsampersymbol; % number of samples in a modem frame
+ states.qam16 = [
+ 1 + j, 1 + j*3, 3 + j, 3 + j*3;
+ 1 - j, 1 - j*3, 3 - j, 3 - j*3;
+ -1 + j, -1 + j*3, -3 + j, -3 + j*3;
+ -1 - j, -1 - j*3, -3 - j, -3 - j*3]/3;
+ states.Np = Np; % number of modem frames per packet. In some modes we want
+ % the total packet of data to span multiple modem frames, e.g. HF data
+ % and/or when the FEC codeword is larger than the one
+ % modem frame. In other modes (e.g. 700D/2020) Np=1, ie the modem frame
+ % is the same length as the packet/FEC frame.
+ states.Nbitsperpacket = Np*states.Nbitsperframe;
+ states.Tpacket = Np*Ns*(Tcp+1/Rs); % time for one packet in ms
+
+ states.Ntxtbits = Ntxtbits; % reserved bits/frame for auxillary text information. Uncoded/unprotected so may
+ % be of limited use going forward, consider setting to 0
+ states.Nuwbits = Nuwbits;
+
+ % some basic sanity checks
+ assert(floor(states.M) == states.M);
+
+ % UW symbol placement. Use ofdm_dev.m, debug_false_sync() to test.
+ % Note we need to fill each UW symbols with bits. The LDPC decoder
+ % works on symbols so we can't break up any symbols into UW/FEC
+ % encoded bits.
+
+ states.uw_ind = states.uw_ind_sym = [];
+ for i=1:states.Nuwbits/bps
+ ind_sym = floor(i*(Nc+1)/bps+1);
+ states.uw_ind_sym = [states.uw_ind_sym ind_sym]; % symbol index
+ for b=bps-1:-1:0
+ states.uw_ind = [states.uw_ind bps*ind_sym-b]; % bit index
+ end
+ end
+ % how many of the first few frames have UW symbols in them
+ Nsymsperframe = states.Nbitsperframe/states.bps;
+ states.Nuwframes = ceil(states.uw_ind_sym(end)/Nsymsperframe);
+
+ states.tx_uw = tx_uw;
+ assert(length(states.tx_uw) == states.Nuwbits);
+ tx_uw_syms = [];
+ for b=1:bps:states.Nuwbits
+ tx_uw_syms = [tx_uw_syms qpsk_mod(states.tx_uw(b:b+1))];
+ end
+ states.tx_uw_syms = tx_uw_syms;
+ % if the UW has this many errors it is "bad", the binomal cdf can be used to set this:
+ % Nuw=12; plot(0:Nuw, binocdf(0:Nuw,Nuw,0.05)); hold on; plot(binocdf(0:Nuw,Nuw,0.5)); hold off;
+ states.bad_uw_errors = bad_uw_errors;
+
+ % use this to scale tx output to 16 bit short. Adjusted by experiment
+ % to have same RMS power as other FreeDV waveforms
+ states.amp_scale = 2E5*1.1491/1.06;
+
+ % this is used to scale inputs to LDPC decoder to make it amplitude indep
+ states.mean_amp = 0;
+
+ % generate same pilots each time
+ rand('seed',1);
+ states.pilots = 1 - 2*(rand(1,Nc+2) > 0.5);
+ %printf("number of pilots total: %d\n", length(states.pilots));
+
+ % carrier tables for up and down conversion
+ fcentre = 1500;
+ alower = fcentre - Rs * (Nc/2); % approx frequency of lowest carrier
+ Nlower = round(alower / Rs) - 1; % round this to nearest integer multiple from 0Hz to keep DFT happy
+ %printf(" fcentre: %f alower: %f alower/Rs: %f Nlower: %d\n", fcentre, alower, alower/Rs, Nlower);
+ w = (Nlower:Nlower+Nc+1)*2*pi/(states.Fs/Rs);
+ W = zeros(Nc+2,states.M);
+ for c=1:Nc+2
+ W(c,:) = exp(j*w(c)*(0:states.M-1));
+ end
+ states.w = w;
+ states.W = W;
+
+ % fine timing search +/- window_width/2 from current timing instant,
+ % adjust this to be roughly the maximum delay spread
+ states.ftwindow_width = ftwindow_width;
+
+ % magic number we adjust by experiment (see ofdm_dev.m acquisition tests, blog post on 700D sync)
+ states.timing_mx_thresh = timing_mx_thresh;
+
+ % Receive buffer: D P DDD P DDD P DDD P D
+ % ^
+ % also see ofdm_demod() ...
+
+ % D P DDD P DDD P DDD P D
+ states.Nrxbuf = states.Nsampersymbol + 3*states.Nsamperframe + states.Nsampersymbol + states.Nsampersymbol;
+ states.rxbuf = zeros(1, states.Nrxbuf);
+
+ % default settings on a bunch of options and states
+
+ states.verbose = 0;
+ states.timing_en = 1;
+ states.foff_est_en = 1;
+ states.phase_est_en = 1;
+ states.phase_est_bandwidth = "high";
+ states.dpsk = 0;
+
+ states.foff_est_gain = 0.1;
+ states.foff_est_hz = 0;
+ states.sample_point = states.timing_est = 1;
+ states.nin = states.Nsamperframe;
+ states.timing_valid = 0;
+ states.timing_mx = 0;
+ states.coarse_foff_est_hz = 0;
+
+ states.foff_metric = 0;
+
+ % generate OFDM pilot symbol, used for timing and freq offset est
+
+ rate_fs_pilot_samples = states.pilots * W/states.M;
+
+ % During tuning it was found that not including the cyc prefix in
+ % rate_fs_pilot_samples produced better fest results
+
+ %states.rate_fs_pilot_samples = [rate_fs_pilot_samples(states.M-states.Ncp+1:states.M) rate_fs_pilot_samples];
+ states.rate_fs_pilot_samples = [zeros(1,states.Ncp) rate_fs_pilot_samples];
+
+ % pre-compute a constant used to detect valid modem frames
+
+ Npsam = length(states.rate_fs_pilot_samples);
+ states.timing_norm = Npsam*(states.rate_fs_pilot_samples * states.rate_fs_pilot_samples');
+ % printf("timing_norm: %f\n", states.timing_norm)
+
+ % sync state machine
+
+ states.sync_state = states.last_sync_state = 'search';
+ states.uw_errors = 0;
+ states.sync_counter = 0;
+ states.frame_count = 0; % number of frames we have been in sync
+ states.sync_start = 0;
+ states.sync_end = 0;
+ states.modem_frame = 0; % keep track of how many frames received in packet
+
+ % LDPC code is optionally enabled
+
+ states.rate = 1.0;
+ states.ldpc_en = 0;
+
+ % init some output states for logging
+
+ states.rx_sym = zeros(1+Ns+1+1, Nc+2);
+
+ % Es/No (SNR) est states
+
+ states.noise_var = 0;
+ states.sig_var = 0;
+ states.clock_offset_est = 0;
+
+ % automated tests
+ test_qam16_mod_demod(states.qam16);
+ test_assemble_disassemble(states);
+endfunction
+
+
+%------------------------------------------------------------------------------
+% ofdm_init_mode - Helper function to set up modems for various FreeDV modes,
+% and parse mode string.
+%------------------------------------------------------------------------------
+
+function config = ofdm_init_mode(mode="700D")
+ Tcp = 0.002; Ns=8;
+
+ % some "canned" modes
+ if strcmp(mode,"700D")
+ Ts = 0.018; Nc = 17;
+ elseif strcmp(mode,"2020")
+ Ts = 0.0205; Nc = 31;
+ elseif strcmp(mode,"2200")
+ Tframe = 0.175; Ts = Tframe/Ns; Nc = 37;
+ elseif strcmp(mode,"qam16")
+ Ns=5; config.Np=5; Tcp = 0.004; Ts = 0.016; Nc = 33;
+ config.bps=4; config.Ntxtbits = 0; config.Nuwbits = 15*4; config.bad_uw_errors = 5;
+ config.ftwindow_width = 32;
+ elseif strcmp(mode,"datac1")
+ Ns=5; config.Np=18; Tcp = 0.006; Ts = 0.016; Nc = 18;
+ config.Ntxtbits = 0; config.Nuwbits = 12; config.bad_uw_errors = 2;
+ config.ftwindow_width = 32;
+ elseif strcmp(mode,"datac2")
+ Ns=5; config.Np=36; Tcp = 0.006; Ts = 0.016; Nc = 9;
+ config.Ntxtbits = 0; config.Nuwbits = 12; config.bad_uw_errors = 1;
+ config.ftwindow_width = 32;
+ elseif strcmp(mode,"datac3")
+ Ns=5; config.Np=11; Tcp = 0.006; Ts = 0.016; Nc = 9;
+ config.Ntxtbits = 0; config.Nuwbits = 24; config.bad_uw_errors = 5;
+ config.ftwindow_width = 32; config.timing_mx_thresh = 0.30;
+ config.tx_uw = [1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0];
+ elseif strcmp(mode,"1")
+ Ns=5; config.Np=10; Tcp=0; Tframe = 0.1; Ts = Tframe/Ns; Nc = 1;
+ else
+ % try to parse mode string for user defined mode
+ vec = sscanf(mode, "Ts=%f Nc=%d Ncp=%f");
+ Ts=vec(1); Nc=vec(2); Ncp=vec(3);
+ end
+ Rs=1/Ts;
+ config.Rs = Rs; config.Tcp = Tcp; config.Ns = Ns; config.Nc = Nc;
+end
+
+
+%------------------------------------------------------------------------------
+% print_config - utility function to use ascsii-art to describe the modem frame
+%------------------------------------------------------------------------------
+
+function print_config(states)
+ ofdm_load_const;
+ printf("Nc=%d Ts=%4.3f Tcp=%4.3f Ns: %d Np: %d\n", Nc, 1/Rs, Tcp, Ns, Np);
+ printf("Nsymperframe: %d Nbitsperpacket: %d Nsamperframe: %d Ntxtbits: %d Nuwbits: %d Nuwframes: %d\n",
+ Ns*Nc, Nbitsperpacket, Nsamperframe, Ntxtbits, Nuwbits, Nuwframes);
+ printf("uncoded bits/s: %4.1f\n", Nbitsperpacket*Fs/(Np*Nsamperframe));
+ s=1; u=1; Nuwsyms=length(uw_ind_sym);
+ for f=1:Np
+ for r=1:Ns
+ for c=1:Nc+2
+ if r == 1
+ sym="P";
+ elseif c>1 && c <=(Nc+1)
+ sym=".";
+ if (u <= Nuwsyms) && (s == uw_ind_sym(u)) sym="U"; u++; end
+ s++;
+ else
+ sym=" ";
+ end
+ printf("%s",sym);
+ end
+ printf("\n");
+ end
+ end
+end
+
+% Gray coded QPSK modulation function
+function symbol = qpsk_mod(two_bits)
+ two_bits_decimal = sum(two_bits .* [2 1]);
+ switch(two_bits_decimal)
+ case (0) symbol = 1;
+ case (1) symbol = j;
+ case (2) symbol = -j;
+ case (3) symbol = -1;
+ endswitch
+endfunction
+
+% Gray coded QPSK demodulation function
+function two_bits = qpsk_demod(symbol)
+ bit0 = real(symbol*exp(j*pi/4)) < 0;
+ bit1 = imag(symbol*exp(j*pi/4)) < 0;
+ two_bits = [bit1 bit0];
+endfunction
+
+
+function out = freq_shift(in, foff, Fs)
+ foff_rect = exp(j*2*pi*foff/Fs);
+ foff_phase_rect = exp(j*0);
+
+ for r=1:length(in)
+ foff_phase_rect *= foff_rect;
+ out(r) = in(r)*foff_phase_rect;
+ end
+endfunction
+
+
+% -----------------------------------------------------------------
+% ofdm_mod - modulates a complete packet (one or more modem frames)
+% ----------------------------------------------------------------
+
+function tx = ofdm_mod(states, tx_bits)
+ ofdm_load_const;
+ assert(length(tx_bits) == Nbitsperpacket);
+
+ % map to symbols in linear array
+
+ if bps == 1
+ tx_sym_lin = 2*tx_bits - 1;
+ end
+ if bps == 2
+ for s=1:Nbitsperpacket/bps
+ tx_sym_lin(s) = qpsk_mod(tx_bits(2*(s-1)+1:2*s));
+ end
+ end
+ if bps == 4
+ for s=1:Nbitsperpacket/bps
+ tx_sym_lin(s) = qam16_mod(states.qam16,tx_bits(4*(s-1)+1:4*s))*exp(-j*pi/4);
+ end
+ end
+
+ tx = ofdm_txframe(states, tx_sym_lin);
+endfunction
+
+
+% ----------------------------------------------
+% ofdm_txframe - modulates one packet of symbols
+% ----------------------------------------------
+
+function tx = ofdm_txframe(states, tx_sym_lin)
+ ofdm_load_const;
+ assert(length(tx_sym_lin) == Nbitsperpacket/bps);
+
+ % place data symbols in multi-carrier frame with pilots and boundary carriers
+
+ s = 1; tx_frame = zeros(Np*Ns,Nc+2);
+ for r=1:Np*Ns
+ if mod(r-1,Ns) == 0
+ % row of pilots
+ tx_frame(r,:) = pilots;
+ else
+ % row of data symbols
+ arowofsymbols = tx_sym_lin(s:s+Nc-1);
+ tx_frame(r,2:Nc+1) = arowofsymbols;
+ s += Nc;
+ if states.dpsk
+ tx_frame(r,2:Nc+1) = tx_frame(r,2:Nc+1) .* tx_frame(r-1,2:Nc+1);
+ end
+ end
+ end
+ % make sure we use all the symbols
+ assert((s-1) == length(tx_sym_lin));
+
+ % OFDM upconvert symbol by symbol so we can add CP
+
+ tx = [];
+ for r=1:Ns*Np
+ asymbol = tx_frame(r,:) * W/M;
+ asymbol_cp = [asymbol(M-Ncp+1:M) asymbol];
+ tx = [tx asymbol_cp];
+ end
+endfunction
+
+
+% -----------------------------------------------------------
+% est_timing
+% -----------------------------------------------------------
+
+#{
+ Correlates the OFDM pilot symbol samples with a window of received
+ samples to determine the most likely timing offset. Combines two
+ frames pilots so we need at least Nsamperframe+M+Ncp samples in rx.
+
+ Can be used for acquisition (coarse timing), and fine timing. Tends
+ to break down when freq offset approaches +/- symbol rate (e.g +/-
+ 25 Hz for 700D).
+#}
+
+function [t_est timing_valid timing_mx av_level] = est_timing(states, rx, rate_fs_pilot_samples, step)
+ ofdm_load_const;
+ Npsam = length(rate_fs_pilot_samples);
+
+ Ncorr = length(rx) - (Nsamperframe+Npsam);
+ corr = zeros(1,Ncorr);
+ %printf("Npsam: %d M+Ncp: %d Ncorr: %d Nsamperframe: %d step: %d\n", Npsam, M+Ncp, Ncorr, Nsamperframe, step);
+
+ % normalise correlation so we can compare to a threshold across varying input levels
+
+ av_level = 2*sqrt(states.timing_norm*(rx*rx')/length(rx)) + 1E-12;
+
+ % correlate with pilots at start and end of frame to determine timing offset
+
+ for i=1:step:Ncorr
+ rx1 = rx(i:i+Npsam-1); rx2 = rx(i+Nsamperframe:i+Nsamperframe+Npsam-1);
+ corr_st = rx1 * rate_fs_pilot_samples'; corr_en = rx2 * rate_fs_pilot_samples';
+ corr(i) = (abs(corr_st) + abs(corr_en))/av_level;
+ end
+
+ [timing_mx t_est] = max(corr);
+ % only declare timing valid if there are enough samples in rxbuf to demodulate a frame
+ timing_valid = (abs(rx(t_est)) > 0) && (timing_mx > timing_mx_thresh);
+
+ if verbose > 1
+ printf(" av_level: %5.4f mx: %4.3f timing_est: %4d timing_valid: %d\n", av_level, timing_mx, t_est, timing_valid);
+ end
+ if verbose > 2
+ figure(3); clf;
+ subplot(211); plot(rx)
+ subplot(212); plot(corr)
+ figure(4); clf; plot(real(rate_fs_pilot_samples));
+ end
+
+endfunction
+
+
+% -----------------------------------------------------------
+% est_freq_offset
+% -----------------------------------------------------------
+
+#{
+ Determines frequency offset at current timing estimate, used for
+ coarse freq offset estimation during acquisition.
+
+ This estimator works well for AWGN channels but has problems with
+ fading channels. With stationary/slow fading channels (say a notch
+ in the spectrum), ot exhibits bias which can delay sync for 10's of
+ seconds.
+#}
+
+function [foff_est states] = est_freq_offset(states, rx, rate_fs_pilot_samples, t_est)
+ ofdm_load_const;
+ Npsam = length(rate_fs_pilot_samples);
+
+ % Freq offset can be considered as change in phase over two halves
+ % of pilot symbols. We average this statistic over this and next
+ % frames pilots.
+
+ Npsam2 = floor(Npsam/2);
+ p1 = rx(t_est:t_est+Npsam2-1) * rate_fs_pilot_samples(1:Npsam2)';
+ p2 = rx(t_est+Npsam2:t_est+Npsam-1) * rate_fs_pilot_samples(Npsam2+1:Npsam)';
+ p3 = rx(t_est+Nsamperframe:t_est+Nsamperframe+Npsam2-1) * rate_fs_pilot_samples(1:Npsam2)';
+ p4 = rx(t_est+Nsamperframe+Npsam2:t_est+Nsamperframe+Npsam-1) * rate_fs_pilot_samples(Npsam2+1:Npsam)';
+
+ Fs1 = Fs/(Npsam/2);
+
+ states.foff_metric = (conj(p1)*p2 + conj(p3)*p4);
+ foff_est = Fs1*angle(states.foff_metric)/(2*pi);
+
+ if states.verbose > 1
+ printf(" foff_metric: %f %f foff_est: %f\n", real(states.foff_metric), imag(states.foff_metric), foff_est);
+ end
+
+endfunction
+
+
+% -----------------------------------------------------------
+% est_freq_offset_pilot_corr
+% -----------------------------------------------------------
+
+#{
+ Determines frequency offset at current timing estimate, used for
+ coarse freq offset estimation during acquisition.
+
+ This is an alternative algorithm to est_freq_offset() above that is less noisey
+ and performs better on HF channels using the acquistion tests in ofdm_dev.m
+#}
+
+function foff_est = est_freq_offset_pilot_corr(states, rx, rate_fs_pilot_samples, t_est)
+ ofdm_load_const;
+ Npsam = length(rate_fs_pilot_samples);
+
+ % extract pilot samples from either end of frame
+ rx1 = rx(t_est:t_est+Npsam-1); rx2 = rx(t_est+Nsamperframe:t_est+Nsamperframe+Npsam-1);
+
+ % "mix" these down (correlate) with 0 Hz offset pilot samples
+ corr_st = rx1 .* conj(rate_fs_pilot_samples);
+ corr_en = rx2 .* conj(rate_fs_pilot_samples);
+
+ % sample sum of DFT magnitude of correlated signals at each freq offset and look for peak
+ st = -20; en = 20; foff_est = 0; Cabs_max = 0;
+
+ for f=st:en
+ w = 2*pi*f/Fs;
+ C_st = corr_st * exp(j*w*(0:Npsam-1))';
+ C_en = corr_en * exp(j*w*(0:Npsam-1))';
+ Cabs = abs(C_st) + abs(C_en);
+ if Cabs > Cabs_max
+ Cabs_max = Cabs;
+ foff_est = f;
+ end
+ end
+
+ if states.verbose > 1
+ printf(" foff_est: %f\n", foff_est);
+ end
+ if verbose > 2
+ figure(10); clf;
+ plot(st:en,C(Fs/2+st:Fs/2+en)); grid;
+ end
+endfunction
+
+
+% ----------------------------------------------------------------------------------
+% ofdm_sync_search - attempts to find coarse sync parameters for modem initial sync
+% ----------------------------------------------------------------------------------
+
+function [timing_valid states] = ofdm_sync_search(states, rxbuf_in)
+ ofdm_load_const;
+
+ % insert latest input samples into rxbuf so it is primed for when we have to call ofdm_demod()
+
+ states.rxbuf(1:Nrxbuf-states.nin) = states.rxbuf(states.nin+1:Nrxbuf);
+ states.rxbuf(Nrxbuf-states.nin+1:Nrxbuf) = rxbuf_in;
+
+ % Attempt coarse timing estimate (i.e. detect start of frame) at a range of frequency offsets
+
+ st = M+Ncp + Nsamperframe + 1; en = st + 2*Nsamperframe + M+Ncp - 1;
+ timing_mx = 0; fcoarse = 0; timing_valid = 0; ct_est = 1;
+ for afcoarse=-40:40:40
+ % vector of local oscillator samples to shift input vector
+ % these could be computed on the fly to save memory, or pre-computed in flash at tables as they are static
+
+ if afcoarse != 0
+ w = 2*pi*afcoarse/Fs;
+ wvec = exp(-j*w*(0:2*Nsamperframe+M+Ncp-1));
+
+ % choose best timing offset metric at this freq offset
+ [act_est atiming_valid atiming_mx] = est_timing(states, wvec .* states.rxbuf(st:en), states.rate_fs_pilot_samples, 2);
+ else
+ % exp(-j*0) is just 1 when afcoarse is 0
+ [act_est atiming_valid atiming_mx] = est_timing(states, states.rxbuf(st:en), states.rate_fs_pilot_samples, 2);
+ end
+
+ %printf("afcoarse: %f atiming_mx: %f\n", afcoarse, atiming_mx);
+
+ if atiming_mx > timing_mx
+ ct_est = act_est;
+ timing_valid = atiming_valid;
+ timing_mx = atiming_mx;
+ fcoarse = afcoarse;
+ end
+ end
+
+ % refine freq est within -/+ 20 Hz window
+
+ if fcoarse != 0
+ w = 2*pi*fcoarse/Fs;
+ wvec = exp(-j*w*(0:2*Nsamperframe+M+Ncp-1));
+ foff_est = est_freq_offset_pilot_corr(states, wvec .* states.rxbuf(st:en), states.rate_fs_pilot_samples, ct_est);
+ foff_est += fcoarse;
+ else
+ % exp(-j*0) is just 1 when fcoarse is 0
+ foff_est = est_freq_offset_pilot_corr(states, states.rxbuf(st:en), states.rate_fs_pilot_samples, ct_est);
+ end
+
+ if verbose
+ printf(" ct_est: %4d mx: %3.2f coarse_foff: %5.1f timing_valid: %d", ct_est, timing_mx, foff_est, timing_valid);
+ end
+
+ if timing_valid
+ % potential candidate found ....
+
+ % calculate number of samples we need on next buffer to get into sync
+
+ states.nin = ct_est - 1;
+
+ % reset modem states
+
+ states.sample_point = states.timing_est = 1;
+ states.foff_est_hz = foff_est;
+ else
+ states.nin = Nsamperframe;
+ end
+
+ states.timing_valid = timing_valid;
+ states.timing_mx = timing_mx;
+ states.coarse_foff_est_hz = foff_est;
+endfunction
+
+
+% ------------------------------------------
+% ofdm_demod - Demodulates one frame of bits
+% ------------------------------------------
+
+#{
+
+ For phase estimation we need to maintain buffer of 3 frames plus
+ one pilot, so we have 4 pilots total. '^' is the start of current
+ frame that we are demodulating.
+
+ P DDD P DDD P DDD P
+ ^
+
+ Then add one symbol either side to account for movement in
+ sampling instant due to sample clock differences:
+
+ D P DDD P DDD P DDD P D
+ ^
+
+ Returns:
+ rx_bits - (hard decoded/raw/uncoded) demodulated data bits from packet
+ aphase_est - phase est for each data symbol
+ rx_np - output data symbols after phase correction
+ rx_amp - amplitude estimates for each symbol
+#}
+
+function [states rx_bits aphase_est_pilot_log rx_np rx_amp] = ofdm_demod(states, rxbuf_in)
+ ofdm_load_const;
+
+ % insert latest input samples into rxbuf
+
+ rxbuf(1:Nrxbuf-states.nin) = rxbuf(states.nin+1:Nrxbuf);
+ rxbuf(Nrxbuf-states.nin+1:Nrxbuf) = rxbuf_in;
+
+ % get latest freq offset estimate
+
+ woff_est = 2*pi*foff_est_hz/Fs;
+
+ % update timing estimate --------------------------------------------------
+
+ delta_t = coarse_foff_est_hz = timing_valid = timing_mx = 0;
+ if timing_en
+ % update timing at start of every frame
+
+ st = M+Ncp + Nsamperframe + 1 - floor(ftwindow_width/2) + (timing_est-1);
+ en = st + Nsamperframe-1 + M+Ncp + ftwindow_width-1;
+
+ [ft_est timing_valid timing_mx] = est_timing(states, rxbuf(st:en) .* exp(-j*woff_est*(st:en)), rate_fs_pilot_samples, 1);
+ % printf(" timing_est: %d ft_est: %d timing_valid: %d timing_mx: %d\n", timing_est, ft_est, timing_valid, timing_mx);
+
+ if timing_valid
+ timing_est = timing_est + ft_est - ceil(ftwindow_width/2);
+
+ % Black magic to keep sample_point inside cyclic prefix. Or something like that.
+
+ delta_t = ft_est - ceil(ftwindow_width/2);
+ sample_point = max(timing_est+Ncp/4, sample_point);
+ sample_point = min(timing_est+Ncp, sample_point);
+ end
+
+ if verbose > 1
+ printf(" ft_est: %2d mx: %3.2f coarse_foff: %4.1f foff: %4.1f\n", ft_est, timing_mx, coarse_foff_est_hz, foff_est_hz);
+ end
+
+ end
+
+ % down convert at current timing instant----------------------------------
+
+ % todo: this cld be more efficent, as pilot r becomes r-Ns on next frame
+
+ rx_sym = zeros(1+Ns+1+1, Nc+2);
+
+ % previous pilot
+
+ st = M+Ncp + Nsamperframe + (-Ns)*(M+Ncp) + 1 + sample_point; en = st + M - 1;
+
+ for c=1:Nc+2
+ acarrier = rxbuf(st:en) .* exp(-j*woff_est*(st:en)) .* conj(W(c,:));
+ rx_sym(1,c) = sum(acarrier);
+ end
+
+ % pilot - this frame - pilot
+
+ for rr=1:Ns+1
+ st = M+Ncp + Nsamperframe + (rr-1)*(M+Ncp) + 1 + sample_point; en = st + M - 1;
+ for c=1:Nc+2
+ acarrier = rxbuf(st:en) .* exp(-j*woff_est*(st:en)) .* conj(W(c,:));
+ rx_sym(rr+1,c) = sum(acarrier);
+ end
+ end
+
+ % next pilot
+
+ st = M+Ncp + Nsamperframe + (2*Ns)*(M+Ncp) + 1 + sample_point; en = st + M - 1;
+ for c=1:Nc+2
+ acarrier = rxbuf(st:en) .* exp(-j*woff_est*(st:en)) .* conj(W(c,:));
+ rx_sym(Ns+3,c) = sum(acarrier);
+ end
+
+ % est freq err based on all carriers ------------------------------------
+
+ if foff_est_en
+ freq_err_rect = sum(rx_sym(2,:))' * sum(rx_sym(2+Ns,:));
+
+ % prevent instability in atan(im/re) when real part near 0
+
+ freq_err_rect += 1E-6;
+
+ %printf("freq_err_rect: %f %f angle: %f\n", real(freq_err_rect), imag(freq_err_rect), angle(freq_err_rect));
+ freq_err_hz = angle(freq_err_rect)*Rs/(2*pi*Ns);
+ foff_est_hz = foff_est_hz + foff_est_gain*freq_err_hz;
+ end
+
+ % OK - now channel for each carrier and correct phase ----------------------------------
+
+ achannel_est_rect = zeros(1,Nc+2);
+ for c=2:Nc+1
+
+ % estimate channel for this carrier using an average of 12 pilots
+ % in a rect 2D window centred on this carrier
+
+ % PPP <-- frame-1
+ % ---
+ % PPP <-- you are here
+ % DDD
+ % DDD
+ % PPP <-- frame+1
+ % ---
+ % PPP <-- frame+2
+
+ if isfield(states, "phase_est_bandwidth")
+ phase_est_bandwidth = states.phase_est_bandwidth;
+ else
+ phase_est_bandwidth = "low";
+ end
+
+ if strcmp(phase_est_bandwidth, "high")
+ % Only use pilots at start and end of this frame to track quickly changes in phase
+ % present. Useful for initial sync where freq offset est may be a bit off, and
+ % for high Doppler channels. As less pilots are averaged, low SNR performance
+ % will be poorer.
+ achannel_est_rect(c) = sum(rx_sym(2,c)*pilots(c)'); % frame
+ achannel_est_rect(c) += sum(rx_sym(2+Ns,c)*pilots(c)'); % frame+1
+ else
+ % Average over a bunch of pilots in adjacent carriers, and past and future frames, good
+ % low SNR performance, but will fall over with high Doppler of freq offset.
+ cr = c-1:c+1;
+ achannel_est_rect(c) = sum(rx_sym(2,cr)*pilots(cr)'); % frame
+ achannel_est_rect(c) += sum(rx_sym(2+Ns,cr)*pilots(cr)'); % frame+1
+
+ % use next step of pilots in past and future
+
+ achannel_est_rect(c) += sum(rx_sym(1,cr)*pilots(cr)'); % frame-1
+ achannel_est_rect(c) += sum(rx_sym(2+Ns+1,cr)*pilots(cr)'); % frame+2
+ end
+ end
+
+ if strcmp(phase_est_bandwidth, "high")
+ achannel_est_rect /= 2;
+ else
+ achannel_est_rect /= 12;
+ end
+
+ % pilots are estimated over 12 pilot symbols, so find average
+
+ aphase_est_pilot = angle(achannel_est_rect);
+ aamp_est_pilot = abs(achannel_est_rect);
+
+ % correct phase offset using phase estimate, and demodulate
+ % bits, separate loop as it runs across cols (carriers) to get
+ % frame bit ordering correct
+
+ aphase_est_pilot_log = [];
+ rx_bits = []; rx_np = []; rx_amp = [];
+ for rr=1:Ns-1
+ for c=2:Nc+1
+ if phase_est_en
+ if states.dpsk
+ rx_corr = rx_sym(rr+2,c) * rx_sym(rr+1,c)';
+ else
+ rx_corr = rx_sym(rr+2,c) * exp(-j*aphase_est_pilot(c));
+ end
+ else
+ rx_corr = rx_sym(rr+2,c);
+ end
+ rx_np = [rx_np rx_corr];
+ rx_amp = [rx_amp aamp_est_pilot(c)];
+ if bps == 1
+ abit = real(rx_corr) > 0;
+ end
+ if bps == 2
+ abit = qpsk_demod(rx_corr);
+ end
+ if bps == 4
+ abit = qam16_demod(states.qam16, rx_corr*exp(j*pi/4));
+ end
+ rx_bits = [rx_bits abit];
+ end % c=2:Nc+1
+ aphase_est_pilot_log = [aphase_est_pilot_log; aphase_est_pilot(2:Nc+1)];
+ end
+
+ % Adjust nin to take care of sample clock offset
+
+ nin = Nsamperframe;
+ if timing_en && timing_valid
+ states.clock_offset_est = 0.9*states.clock_offset_est + 0.1*abs(states.timing_est - timing_est)/Nsamperframe;
+ thresh = (M+Ncp)/8;
+ tshift = (M+Ncp)/4;
+ if timing_est > thresh
+ nin = Nsamperframe+tshift;
+ timing_est -= tshift;
+ sample_point -= tshift;
+ end
+ if timing_est < -thresh
+ nin = Nsamperframe-tshift;
+ timing_est += tshift;
+ sample_point += tshift;
+ end
+ end
+
+ % estimates of signal and noise power (see cohpsk.m for further explanation)
+ % signal power is distance from axis on complex plane
+ % we just measure noise power on imag axis, as it isn't affected by fading
+ % using all symbols in frame worked better than just pilots
+
+ sig_var = sum(abs(rx_np) .^ 2)/length(rx_np);
+ sig_rms = sqrt(sig_var);
+
+ sum_x = 0;
+ sum_xx = 0;
+ n = 0;
+ for i=1:length(rx_np)
+ s = rx_np(i);
+ if abs(real(s)) > sig_rms
+ % select two constellation points on real axis
+ sum_x += imag(s);
+ sum_xx += imag(s)*imag(s);
+ n++;
+ end
+ end
+
+ noise_var = 0;
+ if n > 1
+ noise_var = (n*sum_xx - sum_x*sum_x)/(n*(n-1));
+ end
+
+ % Total noise power is twice estimate of imaginary-axis noise. This
+ % effectively gives us the an estimate of Es/No
+
+ states.noise_var = 2*noise_var;
+ states.sig_var = sig_var;
+
+ % maintain mean amp estimate for LDPC decoder
+
+ states.mean_amp = 0.9*states.mean_amp + 0.1*mean(rx_amp);
+
+ states.achannel_est_rect = achannel_est_rect;
+ states.rx_sym = rx_sym;
+ states.rxbuf = rxbuf;
+ states.nin = nin;
+ states.timing_valid = timing_valid;
+ states.timing_mx = timing_mx;
+ states.timing_est = timing_est;
+ states.sample_point = sample_point;
+ states.delta_t = delta_t;
+ states.foff_est_hz = foff_est_hz;
+ states.coarse_foff_est_hz = coarse_foff_est_hz; % just used for tofdm
+endfunction
+
+
+% ----------------------------------------------------------------------------------
+% assemble_modem_packet - assemble modem packet from UW, payload, and txt bits
+% ----------------------------------------------------------------------------------
+
+function modem_frame = assemble_modem_packet(states, payload_bits, txt_bits)
+ ofdm_load_const;
+
+ # Due to the operation of the FEC encoder or interleaver, Tx data
+ # usually comes in "packet size" chunks, so assembly operates on an
+ # entire packet (multiple modem frames if Np>1)
+
+ p = 1; u = 1;
+ modem_frame = zeros(1,Nbitsperpacket);
+
+ for b=1:Nbitsperpacket-Ntxtbits;
+ if (u <= Nuwbits) && (b == uw_ind(u))
+ modem_frame(b) = tx_uw(u++);
+ else
+ modem_frame(b) = payload_bits(p++);
+ end
+ end
+ t = 1;
+ for b=Nbitsperpacket-Ntxtbits+1:Nbitsperpacket
+ modem_frame(b) = txt_bits(t++);
+ end
+ assert(u == (Nuwbits+1));
+ assert(p = (length(payload_bits)+1));
+endfunction
+
+
+% ----------------------------------------------------------------------------------
+% assemble_modem_packet_symbols - assemble modem packet from UW, payload, and txt bits
+% ----------------------------------------------------------------------------------
+
+function modem_frame = assemble_modem_packet_symbols(states, payload_syms, txt_syms)
+ ofdm_load_const;
+
+ Nsymsperpacket = Nbitsperpacket/bps;
+ Nuwsyms = Nuwbits/bps;
+ Ntxtsyms = Ntxtbits/bps;
+ modem_frame = zeros(1,Nsymsperpacket);
+ p = 1; u = 1;
+
+ for s=1:Nsymsperpacket-Ntxtsyms;
+ if (u <= Nuwsyms) && (s == uw_ind_sym(u))
+ modem_frame(s) = states.tx_uw_syms(u++);
+ else
+ modem_frame(s) = payload_syms(p++);
+ end
+ end
+ t = 1;
+ for s=Nsymsperpacket-Ntxtsyms+1:Nsymsperpacket
+ modem_frame(s) = txt_syms(t++);
+ end
+ assert(u == (Nuwsyms+1));
+ assert(p = (length(payload_syms)+1));
+endfunction
+
+
+% ------------------------------------------------------------------------------------------------
+% extract_uw - extract just the UW from the first few frames of a packet, to check UW
+% during acquisition
+% -------------------------------------------------------------------------------------------------
+
+function rx_uw = extract_uw(states, rx_syms)
+ ofdm_load_const;
+
+ Nsymsperframe = Nbitsperframe/bps;
+ assert(length(rx_syms) == Nuwframes*Nsymsperframe);
+ Nuwsyms = Nuwbits/bps;
+ rx_uw_syms = zeros(1,Nuwsyms);
+ u = 1;
+
+ for s=1:Nuwframes*Nsymsperframe
+ if (u <= Nuwsyms) && (s == uw_ind_sym(u))
+ rx_uw_syms(u++) = rx_syms(s);
+ end
+ end
+ assert(u == (Nuwsyms+1));
+
+ % now demodulate UW bits
+ rx_uw = zeros(1,Nuwbits);
+
+ for s=1:Nuwsyms
+ if bps == 2
+ rx_uw(bps*(s-1)+1:bps*s) = qpsk_demod(rx_uw_syms(s));
+ elseif bps == 4
+ rx_uw(bps*(s-1)+1:bps*s) = qam16_demod(states.qam16,rx_uw_syms(s)*exp(j*pi/4));
+ end
+ end
+endfunction
+
+
+% ------------------------------------------------------------------------------------------------
+% disassemble_modem_packet - extract UW, txt bits, and payload symbols from a packet of symbols
+% -------------------------------------------------------------------------------------------------
+
+function [rx_uw payload_syms payload_amps txt_bits] = disassemble_modem_packet(states, modem_frame_syms, modem_frame_amps)
+ ofdm_load_const;
+
+ Nsymsperpacket = Nbitsperpacket/bps;
+ Nuwsyms = Nuwbits/bps;
+ Ntxtsyms = Ntxtbits/bps;
+ payload_syms = zeros(1,Nsymsperpacket-Nuwsyms-Ntxtsyms);
+ payload_amps = zeros(1,Nsymsperpacket-Nuwsyms-Ntxtsyms);
+ rx_uw_syms = zeros(1,Nuwsyms);
+ txt_syms = zeros(1,Ntxtsyms);
+ p = 1; u = 1;
+
+ for s=1:Nsymsperpacket-Ntxtsyms;
+ if (u <= Nuwsyms) && (s == uw_ind_sym(u))
+ rx_uw_syms(u++) = modem_frame_syms(s);
+ else
+ payload_syms(p) = modem_frame_syms(s);
+ payload_amps(p++) = modem_frame_amps(s);
+ end
+ end
+ t = 1;
+ for s=Nsymsperpacket-Ntxtsyms+1:Nsymsperpacket
+ txt_syms(t++) = modem_frame_syms(s);
+ end
+ assert(u == (Nuwsyms+1));
+ assert(p = (Nsymsperpacket+1));
+
+ % now demodulate UW and txt bits
+
+ rx_uw = zeros(1,Nuwbits);
+ txt_bits = zeros(1,Ntxtbits);
+
+ for s=1:Nuwsyms
+ if bps == 2
+ rx_uw(bps*(s-1)+1:bps*s) = qpsk_demod(rx_uw_syms(s));
+ elseif bps == 4
+ rx_uw(bps*(s-1)+1:bps*s) = qam16_demod(states.qam16,rx_uw_syms(s)*exp(j*pi/4));
+ end
+ end
+ for s=1:Ntxtsyms
+ txt_bits(2*s-1:2*s) = qpsk_demod(txt_syms(s));
+ end
+
+endfunction
+
+
+%-----------------------------------------------------------------------
+% ofdm_rand - a psuedo-random number generator that we can implement
+% in C with identical results to Octave. Returns an unsigned
+% int between 0 and 32767
+%-----------------------------------------------------------------------
+
+function r = ofdm_rand(n)
+ r = zeros(1,n); seed = 1;
+ for i=1:n
+ seed = mod(1103515245 * seed + 12345, 32768);
+ r(i) = seed;
+ end
+endfunction
+
+
+%-----------------------------------------------------------------------
+% create_ldpc_test_frame - generate a test frame of bits
+%-----------------------------------------------------------------------
+
+function [tx_bits payload_data_bits codeword] = create_ldpc_test_frame(states, coded_frame=1)
+ ofdm_load_const;
+ ldpc;
+ gp_interleaver;
+
+ if coded_frame
+ % Set up LDPC code
+
+ mod_order = 4; bps = 2; modulation = 'QPSK'; mapping = 'gray';
+
+ init_cml('~/cml/'); % TODO: make this path sensible and portable
+ load HRA_112_112.txt
+ [code_param framesize rate] = ldpc_init_user(HRA_112_112, modulation, mod_order, mapping);
+ assert(Nbitsperframe == (code_param.coded_bits_per_frame + Nuwbits + Ntxtbits));
+
+ payload_data_bits = round(ofdm_rand(code_param.data_bits_per_frame)/32767);
+ codeword = LdpcEncode(payload_data_bits, code_param.H_rows, code_param.P_matrix);
+ Nsymbolsperframe = length(codeword)/bps;
+
+ % need all these steps to get actual raw codeword bits at demod ..
+
+ tx_symbols = [];
+ for s=1:Nsymbolsperframe
+ tx_symbols = [tx_symbols qpsk_mod( codeword(2*(s-1)+1:2*s) )];
+ end
+
+ tx_symbols = gp_interleave(tx_symbols);
+
+ codeword_raw = [];
+ for s=1:Nsymbolsperframe
+ codeword_raw = [codeword_raw qpsk_demod(tx_symbols(s))];
+ end
+ else
+ codeword_raw = round(ofdm_rand(Nbitsperpacket-(Nuwbits+Ntxtbits))/32767);
+ end
+
+ % insert UW and txt bits
+
+ tx_bits = assemble_modem_packet(states, codeword_raw, zeros(1,Ntxtbits));
+ assert(Nbitsperpacket == length(tx_bits));
+
+endfunction
+
+% automated test
+
+function test_assemble_disassemble(states)
+ ofdm_load_const;
+
+ Nsymsperpacket = Nbitsperpacket/bps;
+ Ndatabitsperpacket = Nbitsperpacket-(Nuwbits+Ntxtbits);
+ Ndatasymsperpacket = Ndatabitsperpacket/bps;
+ codeword_bits = round(ofdm_rand(Ndatabitsperpacket)/32767);
+ tx_bits = assemble_modem_packet(states, codeword_bits, zeros(1,Ntxtbits));
+
+ tx_syms = zeros(1,Nsymsperpacket);
+ for s=1:Nsymsperpacket
+ if bps == 2
+ tx_syms(s) = qpsk_mod(tx_bits(bps*(s-1)+1:bps*s));
+ elseif bps == 4
+ tx_syms(s) = qam16_mod(states.qam16,tx_bits(bps*(s-1)+1:bps*s));
+ end
+ end
+ codeword_syms = zeros(1,Ndatasymsperpacket);
+ for s=1:Ndatasymsperpacket
+ if bps == 2
+ codeword_syms(s) = qpsk_mod(codeword_bits(bps*(s-1)+1:bps*s));
+ elseif bps == 4
+ codeword_syms(s) = qam16_mod(states.qam16,codeword_bits(bps*(s-1)+1:bps*s));
+ end
+ end
+
+ [rx_uw rx_codeword_syms payload_amps txt_bits] = disassemble_modem_packet(states, tx_syms, ones(1,Nsymsperpacket));
+ assert(rx_uw == states.tx_uw);
+ Ndatasymsperframe = (Nbitsperpacket-(Nuwbits+Ntxtbits))/bps;
+ assert(codeword_syms == rx_codeword_syms);
+endfunction
+
+%-------------------------------------------------------
+% sync_state_machine - determines sync state based on UW
+% 700D/2020 version
+%-------------------------------------------------------
+
+#{
+ Due to the low pilot symbol insertion rate and acquisition issues
+ the earlier OFDM modem waveforms (700D and 2020) need a complex
+ state machine to help them avoid false sync.
+#}
+
+function states = sync_state_machine(states, rx_uw)
+ ofdm_load_const;
+ next_state = states.sync_state;
+ states.sync_start = states.sync_end = 0;
+
+ if strcmp(states.sync_state,'search')
+
+ if states.timing_valid
+ states.frame_count = 0;
+ states.sync_counter = 0;
+ states.modem_frame = 0;
+ states.sync_start = 1;
+ next_state = 'trial';
+ end
+ end
+
+ if strcmp(states.sync_state,'synced') || strcmp(states.sync_state,'trial')
+
+ states.frame_count++;
+
+ % UW occurs at the start of a packet
+ if states.modem_frame == 0
+ states.uw_errors = sum(xor(tx_uw,rx_uw));
+
+ if strcmp(states.sync_state,'trial')
+ if states.uw_errors >= states.bad_uw_errors
+ states.sync_counter++;
+ states.frame_count = 0;
+ end
+ if states.sync_counter == 2
+ next_state = "search";
+ states.phase_est_bandwidth = "high";
+ end
+ if states.frame_count == 4
+ next_state = "synced";
+ % change to low bandwidth, but more accurate phase estimation
+ states.phase_est_bandwidth = "low";
+ end
+ if states.uw_errors < 2
+ next_state = "synced";
+ % change to low bandwidth, but more accurate phase estimation
+ states.phase_est_bandwidth = "low";
+ else
+ next_state = "search"
+ end
+ end
+
+ if strcmp(states.sync_state,'synced')
+ if states.uw_errors > 2
+ states.sync_counter++;
+ else
+ states.sync_counter = 0;
+ end
+
+ if states.sync_counter == 6
+ next_state = "search";
+ states.phase_est_bandwidth = "high";
+ end
+ end
+ end % if modem_frame == 0 ....
+
+ % keep track of where we are up to in packet
+ states.modem_frame++;
+ if (states.modem_frame >= states.Np) states.modem_frame = 0; end
+ end
+
+ states.last_sync_state = states.sync_state;
+ states.sync_state = next_state;
+endfunction
+
+
+%-------------------------------------------------------
+% sync_state_machine_data - data waveform version
+%-------------------------------------------------------
+
+function states = sync_state_machine2(states, rx_uw)
+ ofdm_load_const;
+ next_state = states.sync_state;
+ states.sync_start = states.sync_end = 0;
+
+ if strcmp(states.sync_state,'search')
+ if states.timing_valid
+ states.sync_start = 1; states.sync_counter = 0;
+ next_state = 'trial';
+ end
+ end
+
+ states.uw_errors = sum(xor(tx_uw,rx_uw));
+
+ if strcmp(states.sync_state,'trial')
+ if strcmp(states.sync_state,'trial')
+ if states.uw_errors < states.bad_uw_errors;
+ next_state = "synced";
+ states.frame_count = Nuwframes;
+ states.modem_frame = Nuwframes;
+ else
+ states.sync_counter++;
+ if states.sync_counter > Np
+ next_state = "search";
+ end
+ end
+ end
+ end
+
+ % Note we don't every lose sync, we assume there are a known number of frames being sent,
+ % or the packets contain an "end of stream" information.
+ if strcmp(states.sync_state,'synced')
+ states.frame_count++;
+ states.modem_frame++;
+ if (states.modem_frame >= states.Np) states.modem_frame = 0; end
+ end
+
+ states.last_sync_state = states.sync_state;
+ states.sync_state = next_state;
+endfunction
+
+
+% ------------------------------------------------------------------------------
+% codec_to_frame_packing - Set up a bunch of constants to support modem frame
+% construction from LDPC codewords and codec source bits
+% ------------------------------------------------------------------------------
+
+function [code_param Nbitspercodecframe Ncodecframespermodemframe] = codec_to_frame_packing(states, mode)
+ ofdm_load_const;
+ mod_order = 4; bps = 2; modulation = 'QPSK'; mapping = 'gray';
+
+ init_cml('~/cml/');
+ if strcmp(mode, "700D")
+ load HRA_112_112.txt
+ code_param = ldpc_init_user(HRA_112_112, modulation, mod_order, mapping);
+ assert(Nbitsperframe == (code_param.coded_bits_per_frame + Nuwbits + Ntxtbits));
+ % unused for this mode
+ Nbitspercodecframe = Ncodecframespermodemframe = 0;
+ end
+ if strcmp(mode, "2020")
+ load HRA_504_396.txt
+ code_param = ldpc_init_user(HRA_504_396, modulation, mod_order, mapping);
+ code_param.data_bits_per_frame = 312;
+ code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
+ code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
+ printf("2020 mode\n");
+ printf("ldpc_data_bits_per_frame = %d\n", code_param.ldpc_data_bits_per_frame);
+ printf("ldpc_coded_bits_per_frame = %d\n", code_param.ldpc_coded_bits_per_frame);
+ printf("ldpc_parity_bits_per_frame = %d\n", code_param.ldpc_parity_bits_per_frame);
+ printf("data_bits_per_frame = %d\n", code_param.data_bits_per_frame);
+ printf("coded_bits_per_frame = %d\n", code_param.coded_bits_per_frame);
+ printf("coded_syms_per_frame = %d\n", code_param.coded_syms_per_frame);
+ printf("ofdm_bits_per_frame = %d\n", Nbitsperframe);
+ Nbitspercodecframe = 52; Ncodecframespermodemframe = 6;
+ printf(" Nuwbits: %d Ntxtbits: %d\n", Nuwbits, Ntxtbits);
+ Nparity = code_param.ldpc_parity_bits_per_frame;
+ totalbitsperframe = code_param.data_bits_per_frame + Nparity + Nuwbits + Ntxtbits;
+ printf("Total bits per frame: %d\n", totalbitsperframe);
+ assert(totalbitsperframe == Nbitsperframe);
+ end
+ if strcmp(mode, "datac1") || strcmp(mode, "datac2") || strcmp(mode, "qam16")
+ load H2064_516_sparse.mat
+ code_param = ldpc_init_user(HRA, modulation, mod_order, mapping);
+ end
+ if strcmp(mode, "datac3")
+ load H_256_768_22.txt
+ code_param = ldpc_init_user(H_256_768_22, modulation, mod_order, mapping);
+ Nbitspercodecframe = Ncodecframespermodemframe = -1;
+ end
+ if strcmp(mode, "datac1") || strcmp(mode, "datac2") || strcmp(mode, "datac3") || strcmp(mode, "qam16")
+ printf("ldpc_data_bits_per_frame = %d\n", code_param.ldpc_data_bits_per_frame);
+ printf("ldpc_coded_bits_per_frame = %d\n", code_param.ldpc_coded_bits_per_frame);
+ printf("ldpc_parity_bits_per_frame = %d\n", code_param.ldpc_parity_bits_per_frame);
+ printf("Nbitsperpacket = %d\n", Nbitsperpacket);
+ Nparity = code_param.ldpc_parity_bits_per_frame;
+ totalbitsperframe = code_param.data_bits_per_frame + Nparity + Nuwbits + Ntxtbits;
+ printf("totalbitsperframe = %d\n", totalbitsperframe);
+ assert(totalbitsperframe == Nbitsperpacket);
+ Nbitspercodecframe = Ncodecframespermodemframe = -1;
+ end
+endfunction
+
+
+% ------------------------------------------------------------------------------
+% fec_encode - Handle FEC encoding
+% ------------------------------------------------------------------------------
+
+function [frame_bits bits_per_frame] = fec_encode(states, code_param, mode, payload_bits, ...
+ Ncodecframespermodemframe, Nbitspercodecframe)
+ ofdm_load_const;
+ if strcmp(mode, "700D") || strcmp(mode, "datac1") || strcmp(mode, "datac2") || strcmp(mode, "datac3") || strcmp(mode, "qam16")
+ frame_bits = LdpcEncode(payload_bits, code_param.H_rows, code_param.P_matrix);
+ elseif strcmp(mode, "2020")
+ Nunused = code_param.ldpc_data_bits_per_frame - code_param.data_bits_per_frame;
+ frame_bits = LdpcEncode([payload_bits zeros(1,Nunused)], code_param.H_rows, code_param.P_matrix);
+ % remove unused data bits
+ frame_bits = [ frame_bits(1:code_param.data_bits_per_frame) frame_bits(code_param.ldpc_data_bits_per_frame+1:end) ];
+ else
+ assert(0);
+ end
+ bits_per_frame = length(frame_bits);
+
+endfunction
+
+
+% test function, kind of like a CRC for QPSK symbols, to compare two vectors
+
+function acc = test_acc(v)
+ sre = 0; sim = 0;
+ for i=1:length(v)
+ x = v(i);
+ re = round(real(x)); im = round(imag(x));
+ sre += re; sim += im;
+ %printf("%d %10f %10f %10f %10f\n", i, re, im, sre, sim);
+ end
+ acc = sre + j*sim;
+end
+
+
+% Save test bits frame to a text file in the form of a C array
+%
+% usage:
+% ofdm_lib; test_bits_ofdm_file
+%
+
+function test_bits_ofdm_file
+ Ts = 0.018; Tcp = 0.002; Rs = 1/Ts; bps = 2; Nc = 17; Ns = 8;
+ states = ofdm_init(bps, Rs, Tcp, Ns, Nc);
+ [test_bits_ofdm payload_data_bits codeword] = create_ldpc_test_frame(states);
+ printf("%d test bits\n", length(test_bits_ofdm));
+
+ f=fopen("../src/test_bits_ofdm.h","wt");
+ fprintf(f,"/* Generated by test_bits_ofdm_file() Octave function */\n\n");
+ fprintf(f,"const int test_bits_ofdm[]={\n");
+ for m=1:length(test_bits_ofdm)-1
+ fprintf(f," %d,\n",test_bits_ofdm(m));
+ endfor
+ fprintf(f," %d\n};\n",test_bits_ofdm(end));
+
+ fprintf(f,"\nconst int payload_data_bits[]={\n");
+ for m=1:length(payload_data_bits)-1
+ fprintf(f," %d,\n",payload_data_bits(m));
+ endfor
+ fprintf(f," %d\n};\n",payload_data_bits(end));
+
+ fprintf(f,"\nconst int test_codeword[]={\n");
+ for m=1:length(codeword)-1
+ fprintf(f," %d,\n",codeword(m));
+ endfor
+ fprintf(f," %d\n};\n",codeword(end));
+
+ fclose(f);
+
+endfunction
+
+
+% Get rid of nasty unfiltered stuff either side of OFDM signal
+% This may need to be tweaked, or better yet made a function of Nc, if Nc changes
+%
+% usage:
+% ofdm_lib; make_ofdm_bpf(1);
+
+function bpf_coeff = make_ofdm_bpf(write_c_header_file)
+ filt_n = 100;
+ Fs = 8000;
+
+ bpf_coeff = fir2(filt_n,[0 900 1000 2000 2100 4000]/(Fs/2),[0.001 0.001 1 1 0.001 0.001]);
+
+ if write_c_header_file
+ figure(1)
+ clf;
+ h = freqz(bpf_coeff,1,Fs/2);
+ plot(20*log10(abs(h)))
+ grid minor
+
+ % save coeffs to a C header file
+
+ f=fopen("../src/ofdm_bpf_coeff.h","wt");
+ fprintf(f,"/* 1000 - 2000 Hz FIR filter coeffs */\n");
+ fprintf(f,"/* Generated by make_ofdm_bpf() in ofdm_lib.m */\n");
+
+ fprintf(f,"\n#define OFDM_BPF_N %d\n\n", filt_n);
+
+ fprintf(f,"float ofdm_bpf_coeff[]={\n");
+ for r=1:filt_n
+ if r < filt_n
+ fprintf(f, " %f,\n", bpf_coeff(r));
+ else
+ fprintf(f, " %f\n};", bpf_coeff(r));
+ end
+ end
+ fclose(f);
+ end
+
+endfunction
+
+
+% returns level threshold such that threshold_cdf of the tx magnitudes are beneath that level
+function threshold_level = ofdm_determine_clip_threshold(tx, threshold_cdf)
+ Nsteps = 25;
+ mx = max(abs(tx));
+ cdf = empirical_cdf(mx*(1:Nsteps)/Nsteps,abs(tx));
+ threshold_level = find(cdf >= threshold_cdf)(1)*mx/25;
+ printf("threshold_cdf: %f threshold_level: %f\n", threshold_cdf, threshold_level);
+ figure(1); clf; [hh nn] = hist(abs(tx),Nsteps,1);
+ plotyy(nn,hh,mx*(1:Nsteps)/Nsteps,cdf); title('PDF and CDF Estimates'); grid;
+end
+
+
+function tx = ofdm_clip(states, tx, threshold_level)
+ ofdm_load_const;
+ tx_ = tx;
+ ind = find(abs(tx) > threshold_level);
+ tx(ind) = threshold_level*exp(j*angle(tx(ind)));
+ figure(2); clf; plot(abs(tx_(1:5*M))); hold on; plot(abs(tx(1:5*M))); hold off;
+end
diff --git a/libcodec2-android/src/codec2/octave/ofdm_load_const.m b/libcodec2-android/src/codec2/octave/ofdm_load_const.m
new file mode 100644
index 0000000..61d715c
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ofdm_load_const.m
@@ -0,0 +1,55 @@
+% make like C #define for ofdm modem
+
+Fs = states.Fs;
+bps = states.bps;
+Rs = states.Rs;
+Tcp = states.Tcp;
+Ns = states.Ns;
+Np = states.Np;
+Nc = states.Nc;
+M = states.M;
+Ncp = states.Ncp;
+bps = states.bps;
+Nbitsperframe = states.Nbitsperframe;
+Nbitsperpacket = states.Nbitsperpacket;
+Nsampersymbol = states.Nsampersymbol;
+Nsamperframe = states.Nsamperframe;
+timing_mx_thresh = states.timing_mx_thresh;
+Nuwbits = states.Nuwbits;
+Ntxtbits = states.Ntxtbits;
+tx_uw = states.tx_uw;
+uw_ind = states.uw_ind;
+uw_ind_sym = states.uw_ind_sym;
+Nuwframes=states.Nuwframes;
+
+W = states.W;
+w = states.w;
+
+timing_est = states.timing_est;
+sample_point = states.sample_point;
+ftwindow_width = states.ftwindow_width;
+
+Nrxbuf = states.Nrxbuf;
+rxbuf = states.rxbuf;
+
+pilots = states.pilots;
+rate_fs_pilot_samples = states.rate_fs_pilot_samples;
+
+foff_est_gain = states.foff_est_gain;
+foff_est_hz = states.foff_est_hz;
+
+timing_en = states.timing_en;
+foff_est_en = states.foff_est_en;
+phase_est_en = states.phase_est_en;
+
+rate = states.rate;
+ldpc_en = states.ldpc_en;
+if ldpc_en
+ code_param = states.code_param;
+ max_iterations = states.ldpc_max_iterations;
+ demod_type = states.ldpc_demod_type;
+ decoder_type = states.ldpc_decoder_type;
+end
+
+verbose = states.verbose;
+
diff --git a/libcodec2-android/src/codec2/octave/ofdm_rx.m b/libcodec2-android/src/codec2/octave/ofdm_rx.m
new file mode 100644
index 0000000..93b8c14
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ofdm_rx.m
@@ -0,0 +1,220 @@
+% ofdm_rx.m
+% David Rowe May 2018
+%
+% OFDM file based , uncoded rx to unit test core OFDM modem. See also
+% ofdm_ldpc_rx which includes LDPC and interleaving, and ofdm_demod.c
+
+
+function ofdm_rx(filename, mode="700D", error_pattern_filename)
+ ofdm_lib;
+ more off;
+
+ dpsk = 0;
+ if strcmp(mode,"700D-DPSK")
+ mode = "700D"; dpsk = 1;
+ end
+ if strcmp(mode,"2020-DPSK")
+ mode = "2020"; dpsk = 1;
+ end
+
+ % init modem
+
+ config = ofdm_init_mode(mode);
+ states = ofdm_init(config);
+ print_config(states);
+ ofdm_load_const;
+ states.verbose = 0;
+ states.dpsk=dpsk;
+
+ % load real samples from file
+
+ Ascale = states.amp_scale/2; % as input is a real valued signal
+ frx=fopen(filename,"rb"); rx = fread(frx, Inf, "short")/Ascale; fclose(frx);
+ Nsam = length(rx); Nframes = floor(Nsam/Nsamperframe);
+ prx = 1;
+
+ % OK re-generate tx frame for BER calcs
+
+ tx_bits = create_ldpc_test_frame(states, coded_frame=0);
+
+ % init logs and BER stats
+
+ rx_np_log = []; timing_est_log = []; delta_t_log = []; foff_est_hz_log = [];
+ phase_est_pilot_log = []; sig_var_log = []; noise_var_log = []; channel_est_log = [];
+ Terrs = Tbits = Terrs_coded = Tbits_coded = Tpackets = Tpacketerrs = 0;
+ packet_count = frame_count = 0;
+ Nerrs_coded_log = Nerrs_log = [];
+ error_positions = [];
+
+ % 'prime' rx buf to get correct coarse timing (for now)
+
+ prx = 1;
+ nin = Nsamperframe+2*(M+Ncp);
+ %states.rxbuf(Nrxbuf-nin+1:Nrxbuf) = rx(prx:nin);
+ %prx += nin;
+
+ states.verbose = 1;
+
+ Nsymsperpacket = Nbitsperpacket/bps; Nsymsperframe = Nbitsperframe/bps;
+ rx_syms = zeros(1,Nsymsperpacket); rx_amps = zeros(1,Nsymsperpacket);
+ Nerrs = 0; rx_uw = zeros(1,states.Nuwbits);
+
+ % main loop ----------------------------------------------------------------
+
+ for f=1:Nframes
+
+ % insert samples at end of buffer, set to zero if no samples
+ % available to disable phase estimation on future pilots on last
+ % frame of simulation
+
+ lnew = min(Nsam-prx,states.nin);
+ rxbuf_in = zeros(1,states.nin);
+
+ if lnew
+ rxbuf_in(1:lnew) = rx(prx:prx+lnew-1);
+ end
+ prx += states.nin;
+
+ if states.verbose
+ printf("f: %3d nin: %4d st: %-6s ", f, states.nin, states.sync_state);
+ end
+
+ if strcmp(states.sync_state,'search')
+ [timing_valid states] = ofdm_sync_search(states, rxbuf_in);
+ end
+
+ if strcmp(states.sync_state,'synced') || strcmp(states.sync_state,'trial')
+
+ % accumulate a buffer of data symbols for this packet
+ rx_syms(1:end-Nsymsperframe) = rx_syms(Nsymsperframe+1:end);
+ rx_amps(1:end-Nsymsperframe) = rx_amps(Nsymsperframe+1:end);
+ [states rx_bits aphase_est_pilot_log arx_np arx_amp] = ofdm_demod(states, rxbuf_in);
+ rx_syms(end-Nsymsperframe+1:end) = arx_np;
+ rx_amps(end-Nsymsperframe+1:end) = arx_amp;
+
+ rx_uw = extract_uw(states, rx_syms(end-Nuwframes*Nsymsperframe+1:end));
+
+ % We need the full packet of symbols before disassembling and checking for bit errors
+ if states.modem_frame == (states.Np-1)
+ rx_bits = zeros(1,Nbitsperpacket);
+ for s=1:Nsymsperpacket
+ if bps == 2
+ rx_bits(bps*(s-1)+1:bps*s) = qpsk_demod(rx_syms(s));
+ elseif bps == 4
+ rx_bits(bps*(s-1)+1:bps*s) = qam16_demod(states.qam16,rx_syms(s)*exp(j*pi/4));
+ end
+ end
+
+ errors = xor(tx_bits, rx_bits);
+ Nerrs = sum(errors);
+ Nerrs_log = [Nerrs_log Nerrs];
+ Terrs += Nerrs;
+ Tbits += Nbitsperpacket;
+ packet_count++;
+ end
+
+ % we are in sync so log states
+
+ rx_np_log = [rx_np_log arx_np];
+ timing_est_log = [timing_est_log states.timing_est];
+ delta_t_log = [delta_t_log states.delta_t];
+ foff_est_hz_log = [foff_est_hz_log states.foff_est_hz];
+ phase_est_pilot_log = [phase_est_pilot_log; aphase_est_pilot_log];
+ sig_var_log = [sig_var_log states.sig_var];
+ noise_var_log = [noise_var_log states.noise_var];
+ channel_est_log = [channel_est_log; states.achannel_est_rect];
+
+ frame_count++;
+ end
+
+ if strcmp(mode,"datac1") || strcmp(mode,"datac2") || strcmp(mode,"datac3") || strcmp(mode,"qam16")
+ states = sync_state_machine2(states, rx_uw);
+ else
+ states = sync_state_machine(states, rx_uw);
+ end
+
+ if states.verbose
+ if strcmp(states.last_sync_state,'synced') || strcmp(states.last_sync_state,'trial')
+ printf("euw: %2d %d mf: %2d pbw: %s eraw: %3d foff: %4.1f",
+ states.uw_errors, states.sync_counter, states.modem_frame, states.phase_est_bandwidth(1),
+ Nerrs, states.foff_est_hz);
+ end
+ printf("\n");
+ end
+
+ % act on any events returned by state machine
+
+ if states.sync_start
+ Nerrs_log = [];
+ Terrs = Tbits = frame_count = 0;
+ rx_np_log = [];
+ sig_var_log = []; noise_var_log = [];
+ end
+ end
+
+ printf("\nBER..: %5.4f Tbits: %5d Terrs: %5d\n", Terrs/(Tbits+1E-12), Tbits, Terrs);
+
+ % If we have enough frames, calc BER discarding first few frames where freq
+ % offset is adjusting
+
+ Ndiscard = 20;
+ if packet_count > Ndiscard
+ Terrs -= sum(Nerrs_log(1:Ndiscard)); Tbits -= Ndiscard*Nbitsperframe;
+ printf("BER2.: %5.4f Tbits: %5d Terrs: %5d\n", Terrs/Tbits, Tbits, Terrs);
+ end
+
+ %EsNo_est = mean(sig_var_log(floor(end/2):end))/mean(noise_var_log(floor(end/2):end));
+ EsNo_est = mean(sig_var_log)/mean(noise_var_log);
+ EsNo_estdB = 10*log10(EsNo_est);
+ SNR_estdB = EsNo_estdB + 10*log10(Nc*Rs*bps/3000);
+ printf("Packets: %3d Es/No est dB: % -4.1f SNR3k: %3.2f %f %f\n",
+ packet_count, EsNo_estdB, SNR_estdB, mean(sig_var_log), mean(noise_var_log));
+
+ figure(1); clf;
+ %plot(rx_np_log,'+');
+ plot(exp(j*pi/4)*rx_np_log(floor(end/2):end),'+');
+ mx = 2*max(abs(rx_np_log));
+ axis([-mx mx -mx mx]);
+ title('Scatter');
+
+ figure(2); clf;
+ plot(phase_est_pilot_log(:,2:Nc),'g+', 'markersize', 5);
+ title('Phase est');
+ axis([1 length(phase_est_pilot_log) -pi pi]);
+
+ figure(3); clf;
+ subplot(211)
+ stem(delta_t_log)
+ title('delta t');
+ subplot(212)
+ plot(timing_est_log);
+ title('timing est');
+
+ figure(4); clf;
+ plot(foff_est_hz_log)
+ mx = max(abs(foff_est_hz_log))+1;
+ axis([1 max(Nframes,2) -mx mx]);
+ title('Fine Freq');
+ ylabel('Hz')
+
+ figure(5); clf;
+ stem(Nerrs_log);
+ title('Errors/modem frame')
+ axis([1 length(Nerrs_log) 0 Nbitsperframe*rate/2]);
+
+ figure(6); clf;
+ plot(10*log10(sig_var_log),'b;Es;');
+ hold on;
+ plot(10*log10(noise_var_log),'r;No;');
+ snr_estdB = 10*log10(sig_var_log) - 10*log10(noise_var_log) + 10*log10(Nc*Rs/3000);
+ snr_smoothed_estdB = filter(0.1,[1 -0.9],snr_estdB);
+ plot(snr_smoothed_estdB,'g;SNR3k;');
+ hold off;
+ title('Signal and Noise Power estimates');
+
+ if nargin == 3
+ fep = fopen(error_pattern_filename, "wb");
+ fwrite(fep, error_positions, "short");
+ fclose(fep);
+ end
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/ofdm_time_sync.m b/libcodec2-android/src/codec2/octave/ofdm_time_sync.m
new file mode 100644
index 0000000..6c14627
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ofdm_time_sync.m
@@ -0,0 +1,22 @@
+% ofdm_time_sync.m
+% David Rowe June 2019
+%
+% Tests ofdm modem sync time, using real, off air files
+
+function ofdm_time_sync(filename, Ntrials=10)
+
+ time_to_sync = []; passes = fails = 0;
+ for toffset=0:Ntrials-1
+ atime = ofdm_ldpc_rx(filename, mode="700D", interleave_frames = 1, "", start_secs=toffset, len_secs=5);
+ if atime != -1
+ passes++;
+ time_to_sync = [time_to_sync atime];
+ else
+ fails++;
+ end
+ end
+ printf("pass: %d fails: %d mean: %3.2f var %3.2f\n", passes, fails, mean(time_to_sync), var(time_to_sync));
+ figure(1); clf; plot(time_to_sync);
+endfunction
+
+
diff --git a/libcodec2-android/src/codec2/octave/ofdm_tx.m b/libcodec2-android/src/codec2/octave/ofdm_tx.m
new file mode 100644
index 0000000..f9cbc86
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/ofdm_tx.m
@@ -0,0 +1,74 @@
+% ofdm_tx.m
+% David Rowe March 2018
+%
+% File based, uncoded OFDM tx. Generates a file of ofdm samples,
+% including optional channel simulation. See also ofdm_ldpc_tx.m, and
+% ofdm_mod.c
+
+#{
+ Examples:
+
+ i) 10 seconds, AWGN channel at SNR3k=3dB
+
+ octave:4> ofdm_tx("awgn_ebno_3dB_700d.raw", "700D", 10, 3);
+
+ ii) 10 seconds, multipath poor channel at SNR=6dB
+
+ ofdm_tx("hf_ebno_6dB_700d.raw", "700D", 10, 6, "mpp");
+
+ iii) 10 seconds, 2200 waveform, AWGN channel, SNR3k=100dB (noise free)
+
+ ofdm_tx("hf_2020.raw", "2200", 10);
+#}
+
+% Note EbNodB is for payload data bits, so will be 10log10(rate) higher than
+% raw EbNodB used in ofdm_tx() at uncoded bit rate
+
+function ofdm_tx(filename, mode="700D", Nsec, SNR3kdB=100, channel='awgn', freq_offset_Hz=0, tx_clip=0)
+ ofdm_lib;
+ channel_lib;
+ randn('seed',1);
+
+ dpsk = 0;
+ if strcmp(mode,"700D-DPSK")
+ mode = "700D"; dpsk = 1;
+ end
+ if strcmp(mode,"2020-DPSK")
+ mode = "2020"; dpsk = 1;
+ end
+
+ % init modem
+
+ config = ofdm_init_mode(mode);
+ states = ofdm_init(config);
+ print_config(states);
+ ofdm_load_const;
+ states.dpsk=dpsk;
+
+ % Generate fixed test frame of tx bits and run OFDM modulator
+
+ Npackets = round(Nsec/states.Tpacket);
+ tx_bits = create_ldpc_test_frame(states, coded_frame=0);
+ tx = [];
+ for f=1:Npackets
+ tx = [tx ofdm_mod(states, tx_bits)];
+ end
+ Nsam = length(tx);
+
+ % optional clipper to improve PAPR
+
+ if tx_clip != 0
+ threshold_level = ofdm_determine_clip_threshold(tx, tx_clip);
+ tx = ofdm_clip(states, tx, threshold_level);
+ end
+ % note this is PAPR of complex signal, PAPR of real signal will be 3dB larger
+ cpapr = 10*log10(max(abs(tx).^2)/mean(abs(tx).^2));
+
+ % channel simulation and save to disk
+
+ printf("Packets: %3d CPAPR: %4.1f SNR(3k): %3.1f dB foff: %3.1f Hz ", Npackets, cpapr, SNR3kdB, freq_offset_Hz);
+ rx = channel_simulate(Fs, SNR3kdB, freq_offset_Hz, channel, tx);
+ rx *= 1E4/max(rx);;
+ printf("peak: %f\n", max(rx));
+ frx=fopen(filename,"wb"); fwrite(frx, rx, "short"); fclose(frx);
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/oqpsk.m b/libcodec2-android/src/codec2/octave/oqpsk.m
new file mode 100644
index 0000000..49f54ce
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/oqpsk.m
@@ -0,0 +1,521 @@
+% oqpsk.m
+% David Rowe Jan 2017
+%
+% Unfiltered OQPSK modem implementation and simulations to test,
+% derived from GMSK modem in gmsk.m
+%
+% Usage: see "choose one of these to run" at the end of this file.
+
+rand('state',1);
+randn('state',1);
+graphics_toolkit ("gnuplot");
+format
+more off;
+
+% init modem states
+
+function oqpsk_states = oqpsk_init(oqpsk_states, Rs)
+
+ % general
+
+ verbose = oqpsk_states.verbose;
+ oqpsk_states.Fs = 4*Rs;
+ oqpsk_states.Rs = Rs;
+ oqpsk_states.bps = 2; % two bit/symbol for QPSK
+
+ M = oqpsk_states.M = oqpsk_states.Fs/oqpsk_states.Rs;
+ assert(floor(M) == M, "oversampling factor M must be an integer");
+ assert(floor(M/2) == M/2, "(oversampling factor M)/2 must be an integer to offset QPSK");
+endfunction
+
+
+% Gray coded QPSK modulation function
+
+function symbol = qpsk_mod(two_bits)
+ two_bits_decimal = sum(two_bits .* [2 1]);
+ switch(two_bits_decimal)
+ case (0) symbol = 1;
+ case (1) symbol = j;
+ case (2) symbol = -j;
+ case (3) symbol = -1;
+ endswitch
+endfunction
+
+
+% Gray coded QPSK demodulation function
+
+function two_bits = qpsk_demod(symbol)
+ if isscalar(symbol) == 0
+ printf("only works with scalars\n");
+ return;
+ end
+ bit0 = real(symbol*exp(j*pi/4)) < 0;
+ bit1 = imag(symbol*exp(j*pi/4)) < 0;
+ two_bits = [bit1 bit0];
+endfunction
+
+
+% Unfiltered OQPSK modulator
+
+function [tx tx_symb] = oqpsk_mod(oqpsk_states, tx_bits)
+ M = oqpsk_states.M;
+ bps = oqpsk_states.bps;
+ nsym = length(tx_bits)/bps;
+ nsam = nsym*M;
+ verbose = oqpsk_states.verbose;
+
+ % Map bits to Gray coded QPSK symbols
+
+ tx_symb = zeros(1,nsym);
+
+ for i=1:nsym
+ tx_symb(i) = qpsk_mod(tx_bits(2*i-1:2*i))*exp(j*pi/4);
+ end
+
+ % Oversample by M (sample and hold) to create unfiltered QPSK
+
+ tx = zeros(1, nsam);
+ for i=1:nsym
+ tx((i-1)*M+1:(i*M)) = tx_symb(i);
+ end
+
+ % delay Q arm by half of a symbol to make OQPSK
+
+ tx = [real(tx) zeros(1,M/2)] + j*[zeros(1,M/2) imag(tx)];
+endfunction
+
+
+#{
+
+ Unfiltered OQPSK demodulator function, with (optional) phase and
+ timing estimation. Adapted from Fig 8 of [1]. See also gmsk.m and
+ [2].
+
+ Note demodulator returns phase corrected symbols sampled at ideal
+ timing instant. These symbols may have a m*pi/2 phase ambiguity due
+ to properties of phase tracking loop. The caller is responsible for
+ determining this ambiguity and recovering the actual bits.
+
+ [1] GMSK demodulator in IEEE Trans on Comms, Muroyta et al, 1981,
+ "GSM Modulation for Digital Radio Telephony".
+
+ [2] GMSK Modem Simulation, http://www.rowetel.com/?p=3824
+
+#}
+
+
+function [rx_symb rx_int filt_log dco_log timing_adj Toff] = oqpsk_demod(oqpsk_states, rx)
+ M = oqpsk_states.M;
+ Rs = oqpsk_states.Rs;
+ Fs = oqpsk_states.Fs;
+ nsam = length(rx);
+ nsym = floor(nsam/M);
+ verbose = oqpsk_states.verbose;
+
+ timing_angle_log = zeros(1,length(rx));
+ rx_int = zeros(1,length(rx));
+ dco_log = filt_log = zeros(1,nsam);
+
+ % Unfiltered PSK - integrate energy in symbols M long in re and im arms
+
+ rx_int = conv(rx,ones(1,M))/M;
+
+ % phase and fine frequency tracking and correction ------------------------
+
+ if oqpsk_states.phase_est
+
+ % DCO design from "Introduction To Phase-Lock Loop System Modeling", Wen Li
+ % http://www.ece.ualberta.ca/~ee401/parts/data/PLLIntro.pdf
+
+ eta = 0.707;
+ wn = 2*pi*10*(Rs/4800); % (Rs/4800) -> found reducing the BW benefical with falling Rs
+ Ts = 1/Fs;
+ g1 = 1 - exp(-2*eta*wn*Ts);
+ g2 = 1 + exp(-2*eta*wn*Ts) - 2*exp(-eta*wn*Ts)*cos(wn*Ts*sqrt(1-eta*eta));
+ Gpd = 2/pi;
+ Gvco = 1;
+ G1 = g1/(Gpd*Gvco); G2 = g2/(Gpd*Gvco);
+ %printf("g1: %e g2: %e G1: %e G2: %e\n", g1, g2, G1, G2);
+
+ filt_prev = dco = lower = ph_err_filt = ph_err = 0;
+ end
+
+ if oqpsk_states.timing_est
+ % w is the ref sine wave at the timing clock frequency
+ % tw is the length of the window used to estimate timing
+
+ tw = 200*M;
+ k = 1;
+ xr_log = []; xi_log = [];
+ w_log = [];
+ timing_clock_phase = 0;
+ timing_angle = 0;
+ timing_angle_log = zeros(1,nsam);
+ end
+
+ % Sample by sample processing loop for timing and phase est. Note
+ % this operates at sample rate Fs, unlike many PSK modems that
+ % operate at the symbol rate Rs
+
+ for i=1:nsam
+
+ if oqpsk_states.timing_est
+
+ % update sample timing estimate every tw samples, free wheel
+ % rest of the time
+
+ if mod(i,tw) == 0
+ l = i - tw+1;
+ xr = abs(real(rx_int(l:l+tw-1)));
+ xi = abs(imag(rx_int(l:l+tw-1)));
+ w = exp(j*(l:l+tw-1)*2*pi*Rs/Fs);
+ X = xr * w';
+ timing_clock_phase = timing_angle = angle(X);
+ k++;
+ xr_log = [xr_log xr];
+ xi_log = [xi_log xi];
+ w_log = [w_log w];
+ else
+ timing_clock_phase += (2*pi)/M;
+ end
+ timing_angle_log(i) = timing_angle;
+ end
+
+ if oqpsk_states.phase_est
+
+ % PLL per-sample processing
+
+ rx_int(i) *= exp(-j*dco);
+ ph_err = sign(real(rx_int(i))*imag(rx_int(i)))*cos(timing_clock_phase);
+ lower = ph_err*G2 + lower;
+ filt = ph_err*G1 + lower;
+ dco_log(i) = dco;
+ dco = dco + filt;
+ filt_log(i) = filt;
+
+ end
+
+ end
+
+ % final adjustment of timing output to take into account slowly
+ % moving estimates due to sample clock offset. Unwrap ensures that
+ % when timing angle jumps from -pi to pi we move to the next symbol
+ % and frame sync isn't broken
+
+ timing_adj = timing_angle_log*M/(2*pi);
+ timing_adj_uw = unwrap(timing_angle_log)*M/(2*pi);
+ % Toff = floor(2*M+timing_adj);
+ Toff = floor(timing_adj_uw+0.5);
+
+ % sample integrator output at correct timing instant
+
+ k = 1;
+ re_syms = im_syms = zeros(1,nsym);
+ rx_symb = [];
+ for i=M:M:nsam
+ if i-Toff(i)+M/2 <= nsam
+ re_syms(k) = real(rx_int(i-Toff(i)));
+ im_syms(k) = imag(rx_int(i-Toff(i)+M/2));
+ %re_syms(k) = real(rx_int(i));
+ %im_syms(k) = imag(rx_int(i));
+ rx_symb = [rx_symb re_syms(k) + j*im_syms(k)];
+ k++;
+ end
+ end
+
+endfunction
+
+
+% Test modem over a range Eb/No points in an AWGN channel. Can
+% simulate a variety of channel impairments and performs ambiguity
+% resolution.
+
+function sim_out = oqpsk_test(sim_in)
+ bitspertestframe = sim_in.bitspertestframe;
+ nbits = sim_in.nbits;
+ EbNodB = sim_in.EbNodB;
+ verbose = sim_in.verbose;
+ Rs = 4800;
+
+ oqpsk_states.verbose = verbose;
+ oqpsk_states.coherent_demod = sim_in.coherent_demod;
+ oqpsk_states.phase_est = sim_in.phase_est;
+ oqpsk_states.timing_est = sim_in.timing_est;
+ oqpsk_states = oqpsk_init(oqpsk_states, Rs);
+ M = oqpsk_states.M;
+ Fs = oqpsk_states.Fs;
+ Rs = oqpsk_states.Rs;
+ sample_clock_offset_ppm = sim_in.sample_clock_offset_ppm;
+
+ tx_testframe = round(rand(1, bitspertestframe));
+ ntestframes = floor(nbits/bitspertestframe);
+ tx_bits = [];
+ for i=1:ntestframes
+ tx_bits = [tx_bits tx_testframe];
+ end
+
+ for ne = 1:length(EbNodB)
+ aEbNodB = EbNodB(ne);
+ EbNo = 10^(aEbNodB/10);
+ variance = Fs/(Rs*EbNo*oqpsk_states.bps);
+
+ [tx tx_symb] = oqpsk_mod(oqpsk_states, tx_bits);
+ if sample_clock_offset_ppm
+ tx = resample(tx, 1E6, 1E6-sample_clock_offset_ppm);
+ end
+ nsam = length(tx);
+
+ phi = sim_in.phase_offset + 2*pi*sim_in.freq_offset*(1:nsam)/M;
+
+ noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+ st = 1+sim_in.timing_offset; en = length(tx);
+ rx = tx(st:en).*exp(j*phi(st:en)) + noise(st:en);
+
+ [rx_symb rx_int filt_log dco_log timing_adj Toff] = oqpsk_demod(oqpsk_states, rx);
+
+ % OK so the phase and timing estimators get us close (e.g. a good
+ % scatter diagram), but no banana just yet. One problem is the
+ % PLL can lock up on mulitples of pi/2. Combinations of phase
+ % offsets can confuse the timing estimator. One tricky example is a
+ % phase offset of pi/2 which swaps I & Q, and with OQPSK (unlike
+ % MSK and friends) we can't easily tell which is I and which is Q
+ % after a phase rotation, e.g. could be IQIQIQI or QIQIQIQ
+
+ % So we need to determine the ambiguities:
+ % a) could be m*pi/2 rotations of phase
+ % b) could be I and Q swapped by timing est
+ % c) time alignment of test frame
+
+ nsymb = bitspertestframe/oqpsk_states.bps;
+ nrx_symb = length(rx_symb);
+ rx_bits = zeros(1, bitspertestframe);
+ atx_symb = tx_symb(1:nsymb);
+
+ % Treat I and Q as separate sequences, each with their own unique
+ % word. In our case the UW is the whole test frame. Correlate rx
+ % sequence with tx sequence at each possible offset through the
+ % received symbols to find the test frames. Note we also
+ % correlate I of tx with Q of rx to trap any IQ swaps.
+
+ % The sign of the I and Q correlation lets us sort out the pi/2
+ % phase rotation issue.
+
+ nerrs_tot = 0; nbits_tot = 0;
+
+ max_corr = real(atx_symb) * real(atx_symb)';
+ for offset=2:nrx_symb-nsymb+1
+ corr_ii(offset) = real(atx_symb) * real(rx_symb(offset:offset+nsymb-1))'/max_corr;
+ corr_qq(offset) = imag(atx_symb) * imag(rx_symb(offset:offset+nsymb-1))'/max_corr;
+ corr_iq(offset) = real(atx_symb) * imag(rx_symb(offset:offset+nsymb-1))'/max_corr;
+ corr_qi(offset) = imag(atx_symb) * real(rx_symb(offset:offset+nsymb-1))'/max_corr;
+ %printf("offset: %2d ii: % 5f qq: % 5f iq: % 5f qi: % 5f\n",
+ %offset, corr_ii(offset), corr_qq(offset), corr_iq(offset), corr_qi(offset));
+
+ if abs(corr_ii(offset)) > 0.8
+
+ % no IQ swap, or time offset
+
+ i_sign = sign(corr_ii(offset));
+ q_sign = sign(corr_qq(offset));
+ arx_symb = i_sign*real(rx_symb(offset:offset+nsymb-1)) + j*q_sign*imag(rx_symb(offset:offset+nsymb-1));
+
+ for i=1:nsymb
+ rx_bits(2*i-1:2*i) = qpsk_demod(arx_symb(i)*exp(-j*pi/4));
+ end
+ nerrs = sum(xor(tx_testframe, rx_bits));
+ if verbose > 2
+ printf("offset: %5d swap: %d i_sign: % 2.1f q_sign: % 2.1f nerr: %d\n",
+ offset, 0, i_sign, q_sign, nerrs);
+ end
+ nerrs_tot += nerrs;
+ nbits_tot += bitspertestframe;
+ end
+
+ if abs(corr_qi(offset)) > 0.8
+
+ % IQ swap, I part in Q part of symbol before
+
+ i_sign = sign(corr_iq(offset-1));
+ q_sign = sign(corr_qi(offset));
+ arx_symb = i_sign*imag(rx_symb(offset-1:offset+nsymb-2)) + j*q_sign*real(rx_symb(offset:offset+nsymb-1));
+
+ for i=1:nsymb
+ rx_bits(2*i-1:2*i) = qpsk_demod(arx_symb(i)*exp(-j*pi/4));
+ end
+ nerrs = sum(xor(tx_testframe, rx_bits));
+ if verbose > 1
+ printf("offset: %5d swap: %d i_sign: % 2.1f q_sign: % 2.1f nerr: %d\n",
+ offset, 1, i_sign, q_sign, nerrs);
+ end
+ nerrs_tot += nerrs;
+ nbits_tot += bitspertestframe;
+ end
+ end
+
+ TERvec(ne) = nerrs_tot;
+ BERvec(ne) = nerrs_tot/nbits_tot;
+
+ if verbose > 0
+ printf("EbNo dB: %3.1f Nbits: %d Nerrs: %d BER: %4.3f BER Theory: %4.3f\n",
+ aEbNodB, nbits_tot, nerrs_tot, BERvec(ne), 0.5*erfc(sqrt(EbNo)));
+ end
+
+ if find(sim_in.plots == 1)
+ figure(1); clf;
+ subplot(211)
+ stem(real(tx))
+ title('Tx samples');
+ ylabel('Inphase');
+ subplot(212)
+ stem(imag(tx))
+ ylabel('Quadrature');
+ end
+
+ if find(sim_in.plots == 2)
+ figure(2); clf;
+ f = fftshift(fft(rx));
+ Tx = 20*log10(abs(f));
+ plot((1:length(f))*Fs/length(f) - Fs/2, Tx)
+ grid;
+ title('OQPSK Demodulator Input Spectrum');
+ end
+
+ if find(sim_in.plots == 3)
+ figure(3); clf;
+ nplot = min(16, nbits/oqpsk_states.bps);
+ title('Rx Integrator');
+ subplot(211)
+ stem(real(rx_int(1:nplot*M)))
+ axis([1 nplot*M -1 1])
+ subplot(212)
+ stem(imag(rx_int(1:nplot*M)))
+ axis([1 nplot*M -1 1])
+ end
+
+ if find(sim_in.plots == 4)
+ figure(4); clf;
+ subplot(211);
+ plot(filt_log);
+ title('PLL filter')
+ subplot(212);
+ plot(dco_log);
+ title('PLL DCO phase');
+ end
+
+ if find(sim_in.plots == 5)
+ figure(5); clf;
+ subplot(211)
+ plot(timing_adj);
+ title('Timing est');
+ subplot(212)
+ plot(Toff);
+ title('Timing est unwrap');
+ end
+
+ if find(sim_in.plots == 6)
+ figure(6); clf;
+ st = floor(0.5*nrx_symb);
+ plot(rx_symb(st:nrx_symb), '+');
+ title('Scatter Diagram');
+ axis([-1.5 1.5 -1.5 1.5])
+ end
+
+ if find(sim_in.plots == 7)
+ figure(7); clf;
+ subplot(211)
+ plot(corr_ii);
+ axis([1 length(corr_ii) -1.2 1.2]);
+ title('corr ii');
+ subplot(212)
+ plot(corr_qi);
+ axis([1 length(corr_ii) -1.2 1.2]);
+ title('corr qi');
+ end
+
+ if find(sim_in.plots == 8)
+ figure(8); clf;
+ subplot(211);
+ stem(real(arx_symb));
+ title('Rx symbols')
+ subplot(212);
+ stem(imag(arx_symb));
+ end
+
+ if find(sim_in.plots == 9)
+ figure(9); clf;
+ subplot(211)
+ stem(tx_testframe(1:min(20,length(rx_bits))))
+ title('Tx Bits')
+ subplot(212)
+ stem(rx_bits(1:min(20,length(rx_bits))))
+ title('Rx Bits')
+ end
+ end
+
+ sim_out.TERvec = TERvec;
+ sim_out.BERvec = BERvec;
+ sim_out.Rs = oqpsk_states.Rs;
+endfunction
+
+
+function run_oqpsk_single
+ sim_in.coherent_demod = 1;
+ sim_in.phase_est = 1;
+ sim_in.timing_est = 1;
+ sim_in.bitspertestframe = 100;
+ sim_in.nbits = 10000;
+ sim_in.EbNodB = 4;
+ sim_in.verbose = 1;
+ sim_in.phase_offset = 3*pi/4; % in radians
+ sim_in.timing_offset = 4; % in samples 0..M-1
+ sim_in.freq_offset = 0.001; % fraction of Symbol Rate
+ sim_in.plots = [1 2 4 5 6 7];
+ sim_in.sample_clock_offset_ppm = 100;
+
+ sim_out = oqpsk_test(sim_in);
+endfunction
+
+
+% Generate a bunch of BER versus Eb/No curves for various demods
+
+function run_oqpsk_curves
+ sim_in.coherent_demod = 1;
+ sim_in.EbNodB = 2:8;
+ sim_in.verbose = 1;
+ sim_in.phase_est = 1;
+ sim_in.timing_est = 1;
+ sim_in.bitspertestframe = 100;
+ sim_in.nbits = 50000;
+ sim_in.phase_offset = 3*pi/4; % in radians
+ sim_in.timing_offset = 4; % in samples 0..M-1
+ sim_in.freq_offset = 0.001; % fraction of Symbol Rate
+ sim_in.plots = [];
+ sim_in.sample_clock_offset_ppm = 0;
+
+ oqpsk_coh = oqpsk_test(sim_in);
+
+ Rs = oqpsk_coh.Rs;
+ EbNo = 10 .^ (sim_in.EbNodB/10);
+ oqpsk_theory.BERvec = 0.5*erfc(sqrt(EbNo));
+
+ % BER v Eb/No curves
+
+ figure;
+ clf;
+ semilogy(sim_in.EbNodB, oqpsk_theory.BERvec,'r+-;OQPSK theory;')
+ hold on;
+ semilogy(sim_in.EbNodB, oqpsk_coh.BERvec,'g+-;OQPSK sim;')
+ hold off;
+ grid("minor");
+ axis([min(sim_in.EbNodB) max(sim_in.EbNodB) 1E-4 1])
+ legend("boxoff");
+ xlabel("Eb/No (dB)");
+ ylabel("Bit Error Rate (BER)")
+endfunction
+
+
+% Choose one of these to run ------------------------------------------
+
+run_oqpsk_single
+%run_oqpsk_curves
+
diff --git a/libcodec2-android/src/codec2/octave/papr_test.m b/libcodec2-android/src/codec2/octave/papr_test.m
new file mode 100644
index 0000000..46c774a
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/papr_test.m
@@ -0,0 +1,407 @@
+% papr_test.m
+%
+% Experiments with PAPR reduction using clipping/compression
+%
+% OFDM Tx -> compress -> filter -> normalise power -> channel -> OFDM Rx
+
+#{
+ TODO:
+ [ ] option for normalised power after clipper
+ [ ] experiment to plot those curves
+#}
+
+1;
+
+function symbol = qpsk_mod(two_bits)
+ two_bits_decimal = sum(two_bits .* [2 1]);
+ switch(two_bits_decimal)
+ case (0) symbol = 1;
+ case (1) symbol = j;
+ case (2) symbol = -j;
+ case (3) symbol = -1;
+ endswitch
+endfunction
+
+function two_bits = qpsk_demod(symbol)
+ bit0 = real(symbol*exp(j*pi/4)) < 0;
+ bit1 = imag(symbol*exp(j*pi/4)) < 0;
+ two_bits = [bit1 bit0];
+endfunction
+
+function papr = calc_papr(tx)
+ papr = 10*log10(max(abs(tx).^2)/mean(abs(tx).^2));
+end
+
+% test PAPR calculation with a two tone signal of known PAPR (3dB)
+function test_papr
+ f1=800; f2=1200; Fs=8000; n=(0:Fs-1);
+ tx=exp(j*2*pi*n*f1/Fs) + exp(j*2*pi*n*f2/Fs);
+ papr = calc_papr(tx);
+ assert(abs(papr-3.0) < 0.05, 'test_papr() failed!')
+end
+
+% "Genie" OFDM modem simulation that assumes ideal sync
+
+function [ber papr] = run_sim(Nc, Nsym, EbNodB, channel='awgn', plot_en=0, filt_en=0, method="", threshold=1, norm_ebno=0)
+ rand('seed',1);
+ randn('seed',1);
+
+ M = 160; % number of samples in each symbol
+ bps = 2; % two bits per symbol for QPSK
+ Ncp = 16; % cyclic prefix samples
+ Fs = 8000;
+
+ phase_est = 1; % perform phase estimation/correction
+ timing = Ncp;
+
+ if strcmp(method,"diversity")
+ % total power of tx symbol after combination the same. Scatter plot positions
+ % different but also twice as much noise (bandwidth)
+ Nd = 2; gain = 1/sqrt(2);
+ else
+ Nd = 1; gain = 1.0;
+ end
+
+ if strcmp(channel,'multipath')
+ dopplerSpreadHz = 1; path_delay = Ncp/2;
+ Nsam = floor(Nsym*(M+Ncp)*1.1);
+ spread1 = doppler_spread(dopplerSpreadHz, Fs, Nsam);
+ spread2 = doppler_spread(dopplerSpreadHz, Fs, Nsam);
+ end
+
+ papr_log = [];
+ for e=1:length(EbNodB)
+ % generate a 2D array of QPSK symbols
+
+ Nphases = 2^bps;
+ tx_phases = pi/2*floor((rand(Nsym,Nc)*Nphases));
+ if strcmp(method,"diversity")
+ % duplicate carriers but with opposite phase
+ tx_phases = [tx_phases (tx_phases-pi/2)];
+ end
+ tx_sym = gain*exp(j*tx_phases);
+
+ % carrier frequencies, centre about 0
+ st = floor(Nc*Nd/2);
+ w = 2*pi/M*(-st:-st+Nc*Nd-1);
+
+ % generate OFDM signal
+
+ tx = [];
+ for s=1:Nsym
+ atx = zeros(1,M);
+ for c=1:Nc*Nd
+ atx += exp(j*(0:M-1)*w(c))*tx_sym(s,c);
+ end
+ % insert cyclic prefix and build up stream of time domain symbols
+ % note CP costs us 10*log10((Ncp+M)/M) in Eb, as energy in CP isn't used for demodulation
+ tx = [tx atx(end-Ncp+1:end) atx];
+ end
+ Nsam = length(tx);
+
+ if strcmp(channel,'multipath')
+ assert(length(spread1) >= Nsam);
+ assert(length(spread2) >= Nsam);
+ end
+
+ % bunch of PAPR reduction options
+ tx_ = tx;
+
+ % determine threshold based on CDF
+ cdf = empirical_cdf((1:Nc),abs(tx));
+ if strcmp(method, "clip") || strcmp(method, "diversity") || strcmp(method, "compand")
+ if threshold < 1
+ threshold_level = find(cdf >= threshold)(1);
+ else
+ threshold_level = 10*Nc;
+ end
+
+ % printf("threshold: %f threshold_level: %f\n", threshold, threshold_level);
+ end
+
+ if strcmp(method, "clip") || strcmp(method, "diversity")
+ ind = find(abs(tx) > threshold_level);
+ tx_(ind) = threshold_level*exp(j*angle(tx(ind)));
+ end
+ if strcmp(method, "compand")
+ # power law compander x = a*y^power, y = (x/a) ^ (1/power)
+ power=2; a=threshold_level/(threshold_level^power);
+ tx_mag = (abs(tx)/a) .^ (1/power);
+ tx_ = tx_mag.*exp(j*angle(tx));
+ end
+
+ if filt_en
+ Nfilt=80;
+ b = fir1(Nfilt,2*Nc*Nd/M);
+ tx_ = filter(b,1,[tx_ zeros(1,Nfilt/2)]);
+ tx_ = [tx_(Nfilt/2+1:end)];
+ end
+
+ rx = tx_;
+
+ % multipath channel
+
+ if phase_est
+ % estimate phase of each symbol before multipath simulation
+
+ rx_phase1 = zeros(Nsym,Nc);
+ for s=1:Nsym
+ st = (s-1)*(M+Ncp)+1+timing; en = st+M-1;
+ for c=1:Nc*Nd
+ rx_phase1(s,c) = sum(exp(-j*(0:M-1)*w(c)) .* rx(st:en))/M;
+ end
+ end
+ end
+
+ if strcmp(channel,'multipath')
+ rx = spread1(1:Nsam).*rx + spread2(1:Nsam).*[zeros(1,path_delay) rx(1:end-path_delay)];
+ end
+
+ % normalise power after multipath, so that Eb/No is set up
+ % correctly
+
+ if norm_ebno == 0
+ norm = sqrt(mean(abs(tx_).^2)/mean(abs(rx).^2));
+ else
+ % normalise after clipper, this makes norm_pwr constant for all test
+ % conditions
+ norm = sqrt(mean(abs(tx).^2)/mean(abs(rx).^2));
+ end
+ rx *= norm;
+ norm_pwr = 10*log10(mean(abs(rx).^2));
+
+ if phase_est
+ % auxillary rx to get ideal phase ests on signal after multipath but before AWGN noise is added
+
+ rx_phase = zeros(Nsym,Nc);
+ for s=1:Nsym
+ st = (s-1)*(M+Ncp)+1+timing; en = st+M-1;
+ for c=1:Nc*Nd
+ arx_sym = sum(exp(-j*(0:M-1)*w(c)) .* rx(st:en))/M;
+ rx_phase(s,c) = arx_sym * conj(rx_phase1(s,c));
+ end
+ end
+ rx_phase = exp(j*arg(rx_phase));
+ end
+
+ % AWGN channel
+
+ EsNodB = EbNodB(e) + 10*log10(bps);
+ variance = M/(10^(EsNodB/10));
+ noise = sqrt(variance/2)*randn(1,Nsam) + j*sqrt(variance/2)*randn(1,Nsam);
+ rx += noise;
+
+ % demodulate
+ rx_sym = zeros(Nsym,Nc);
+ for s=1:Nsym
+ st = (s-1)*(M+Ncp)+1+timing; en = st+M-1;
+ for c=1:Nc*Nd
+ rx_sym(s,c) = sum(exp(-j*(0:M-1)*w(c)) .* rx(st:en))/M;
+ if phase_est rx_sym(s,c) *= conj(rx_phase(s,c)); end
+ end
+
+ if strcmp(method,"diversity")
+ for c=1:Nc
+ rx_sym(s,c) += rx_sym(s,c+Nc)*exp(j*pi/2);
+ end
+ end
+ end
+
+ % count bit errors
+
+ Tbits = Terrs = 0; ErrPerSym = zeros(1,Nsym);
+ for s=1:Nsym
+ Nerrs = 0;
+ for c=1:Nc
+ tx_bits = qpsk_demod(tx_sym(s,c));
+ rx_bits = qpsk_demod(rx_sym(s,c));
+ Tbits += bps;
+ Nerrs += sum(xor(tx_bits,rx_bits));
+ end
+ ErrPerSym(s) = Nerrs;
+ Terrs += Nerrs;
+ end
+
+ if plot_en
+ figure(1); clf;
+ plot(abs(tx(1:5*M))); hold on; plot(abs(tx_(1:5*M))); hold off;
+ axis([0 5*M 0 max(abs(tx))]);
+ figure(2); clf; [hh nn] = hist(abs(tx),25,1);
+ plotyy(nn,hh,1:Nc,cdf); title('PDF and CDF'); grid;
+ figure(3); clf; plot(real(rx_sym(:,1:Nc)), imag(rx_sym(:,1:Nc)), '+'); axis([-2 2 -2 2]);
+ figure(4); clf; Tx_ = 10*log10(abs(fft(tx_))); plot(fftshift(Tx_));
+ mx = 10*ceil(max(Tx_)/10); axis([1 length(Tx_) mx-60 mx]);
+ figure(5); plot_specgram(real(rx.*exp(j*2*pi*(0:Nsam-1)/4)));
+ figure(6); clf; stem(ErrPerSym);
+ end
+
+ papr1 = calc_papr(tx);
+ papr2 = calc_papr(tx_);
+ papr_log = [papr_log papr2];
+ ber(e) = Terrs/Tbits;
+ printf("EbNodB: %4.1f %3.1f %4.1f PAPR: %5.2f %5.2f Tbits: %6d Terrs: %6d BER: %5.3f\n",
+ EbNodB(e), norm, norm_pwr, papr1, papr2, Tbits, Terrs, ber(e))
+ end
+
+ papr = mean(papr_log);
+end
+
+% BER versus Eb/No curves -------------------------------------
+
+% first pass at trying out a few different schemes
+function curves_experiment1(Nc=8, channel='awgn', Nsym=1000, EbNodB=2:8)
+
+ [ber1 papr1] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1);
+ [ber2 papr2] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.8);
+ [ber3 papr3] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.6);
+ [ber4 papr4] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "compand", threshold=0.6);
+ [ber5 papr5] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "diversity", threshold=0.6);
+
+ figure(7); clf;
+ semilogy(EbNodB, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+ semilogy(EbNodB, ber2,sprintf('r+-;clip 0.8 %3.1f;',papr2),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber3,sprintf('g+-;clip 0.6 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber4,sprintf('c+-;compand 0.6 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber5,sprintf('bk+-;diversity 0.6 %3.1f;',papr5),'markersize', 10, 'linewidth', 2);
+ hold off;
+ axis([min(EbNodB) max(EbNodB) 1E-3 1E-1]); grid;
+ xlabel('Eb/No'); title(sprintf("%s Nc = %d", channel, Nc))
+ fn = sprintf("papr_exp1_%s_BER_EbNo.png", channel);
+ print(fn,"-dpng");
+
+ figure(8); clf;
+ semilogy(EbNodB+papr1, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+ semilogy(EbNodB+papr2, ber2,sprintf('r+-;clip 0.8 %3.1f;',papr2),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB+papr3, ber3,sprintf('g+-;clip 0.6 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB+papr4, ber4,sprintf('c+-;compand 0.6 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB+papr5, ber5,sprintf('bk+-;diversity 0.6 %3.1f;',papr5),'markersize', 10, 'linewidth', 2);
+ hold off;
+ xlabel('Peak Eb/No');
+ axis([min(EbNodB)+papr2 max(EbNodB)+papr1 1E-3 1E-1]); grid; title(sprintf("%s Nc = %d", channel, Nc))
+ fn = sprintf("papr_exp1_%s_BER_peakEbNo.png", channel);
+ print(fn,"-dpng");
+end
+
+
+% vary threshold and plot BER v Eb/No curves
+function curves_experiment2(Nc=8, channel='awgn', Nsym=1000, EbNodB=2:16)
+
+ [ber1 papr1] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1);
+ [ber2 papr2] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.8);
+ [ber3 papr3] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.6);
+ [ber4 papr4] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.4);
+ [ber5 papr5] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.2);
+ [ber6 papr6] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "diversity", threshold=0.8);
+
+ figure(7); clf;
+ semilogy(EbNodB, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+ semilogy(EbNodB, ber2,sprintf('r+-;clip 0.8 %3.1f;',papr2),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber3,sprintf('g+-;clip 0.6 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber4,sprintf('c+-;clip 0.4 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber5,sprintf('bk+-;clip 0.2 %3.1f;',papr5),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber6,sprintf('m+-;diversity 0.8 %3.1f;', papr6),'markersize', 10, 'linewidth', 2);
+ hold off;
+ axis([min(EbNodB) max(EbNodB) 1E-3 1E-1]); grid;
+ xlabel('Eb/No'); title(sprintf("%s Nc = %d", channel, Nc))
+ fn = sprintf("papr_exp2_Nc%d_%s_BER_EbNo.png", Nc, channel);
+ print(fn,"-dpng");
+
+ figure(8); clf;
+ semilogy(EbNodB+papr1, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+ semilogy(EbNodB+papr2, ber2,sprintf('r+-;clip 0.8 %3.1f;',papr2),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB+papr3, ber3,sprintf('g+-;clip 0.6 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB+papr4, ber4,sprintf('c+-;clip 0.4 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB+papr5, ber5,sprintf('bk+-;clip 0.2 %3.1f;',papr5),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB+papr6, ber6,sprintf('m+-;diversity 0.8 %3.1f;', papr6),'markersize', 10, 'linewidth', 2);
+ hold off;
+ xlabel('Peak Eb/No');
+ axis([min(EbNodB)+papr2 max(EbNodB)+papr1 1E-3 1E-1]); grid; title(sprintf("%s Nc = %d", channel, Nc))
+ fn = sprintf("papr_exp2_Nc%d_%s_BER_peakEbNo.png", Nc, channel);
+ print(fn,"-dpng");
+end
+
+% PAPR against number of carriers Nc
+function curves_experiment3(Nsym=3000)
+
+ paper = zeros(1,32);
+ Nc = 2:2:32;
+ for i = 1:length(Nc)
+ aNc = Nc(i);
+ [aber apapr] = run_sim(aNc, Nsym, 100);
+ papr(aNc) = apapr;
+ end
+
+ figure(9); clf;
+ plot(Nc, papr(Nc)); xlabel('Number of Carriers Nc'); ylabel('PAPR (dB)'); grid;
+ fn = sprintf("papr_exp3_Nc.png");
+ print(fn,"-dpng");
+end
+
+% focus on diversity - vary threshold and plot BER v Eb/No curves
+function curves_experiment4(Nc=8, channel='multipath', Nsym=3000, EbNodB=2:2:16)
+
+ [ber1 papr1] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1);
+ [ber2 papr2] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "diversity", threshold=1);
+ [ber3 papr3] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "diversity", threshold=0.8);
+ [ber4 papr4] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "diversity", threshold=0.6);
+
+ figure(7); clf;
+ semilogy(EbNodB, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+ semilogy(EbNodB, ber2,sprintf('r+-;diversity 1.0 %3.1f;',papr2),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber3,sprintf('g+-;diversity 0.8 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber4,sprintf('c+-;diversity 0.6 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+ hold off;
+ axis([min(EbNodB) max(EbNodB) 1E-3 1E-1]); grid;
+ xlabel('Eb/No'); title(sprintf("%s Nc = %d", channel, Nc))
+ fn = sprintf("papr_exp4_Nc%d_%s_BER_EbNo.png", Nc, channel);
+ print(fn,"-dpng");
+
+ figure(8); clf;
+ semilogy(EbNodB+papr1, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+ semilogy(EbNodB+papr2, ber2,sprintf('r+-;diversity 1.0 %3.1f;',papr2),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB+papr3, ber3,sprintf('g+-;diversity 0.8 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB+papr4, ber4,sprintf('c+-;diversity 0.6 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+ hold off;
+ xlabel('Peak Eb/No');
+ axis([min(EbNodB)+papr4 max(EbNodB)+papr1 1E-3 1E-1]); grid; title(sprintf("%s Nc = %d", channel, Nc))
+ fn = sprintf("papr_exp4_Nc%d_%s_BER_peakEbNo.png", Nc, channel);
+ print(fn,"-dpng");
+end
+
+% plot BER v Eb/No curves for clipping with normalised Eb/No after clipping
+function curves_experiment5(Nc=8, channel='awgn', Nsym=1000, EbNodB=2:10)
+
+ [ber1 papr1] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "", threshold=1, norm=1);
+ [ber2 papr2] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.8, norm=1);
+ [ber3 papr3] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.6, norm=1);
+ [ber4 papr4] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.4, norm=1);
+ [ber5 papr5] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.2, norm=1);
+
+ figure(7); clf;
+ semilogy(EbNodB, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+ semilogy(EbNodB, ber2,sprintf('r+-;clip 0.8 %3.1f;',papr2),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber3,sprintf('g+-;clip 0.6 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber4,sprintf('c+-;clip 0.4 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+ semilogy(EbNodB, ber5,sprintf('bk+-;clip 0.2 %3.1f;',papr5),'markersize', 10, 'linewidth', 2);
+ hold off;
+ axis([min(EbNodB) max(EbNodB) 1E-3 1E-1]); grid;
+ xlabel('Eb/No'); title(sprintf("%s Nc = %d", channel, Nc))
+ fn = sprintf("papr_exp5_Nc%d_%s_BER_EbNo.png", Nc, channel);
+ print(fn,"-dpng");
+end
+
+pkg load statistics;
+more off;
+
+test_papr;
+
+% single point with lots of plots -----------
+
+%run_sim(8, 1000, EbNo=100, channel='awgn', plot_en=1, filt_en=1);
+%run_sim(8, 8, EbNo=100, channel='awgn', plot_en=1, filt_en=1, "diversity", threshold=0.8);
+%run_sim(8, 1000, EbNo=10, channel='multipath', plot_en=1, filt_en=0, "diversity", threshold=5);
+%curves_experiment2(Nc=16, 'awgn', Nsym=1000);
+curves_experiment2(Nc=16,'multipath', Nsym=3000, EbNodB=2:2:16);
+%curves_experiment3()
+%curves_experiment4()
+%curves_experiment5(Nc=16)
diff --git a/libcodec2-android/src/codec2/octave/phase_noise.m b/libcodec2-android/src/codec2/octave/phase_noise.m
new file mode 100644
index 0000000..2978574
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/phase_noise.m
@@ -0,0 +1,72 @@
+% phase_noise.m
+% David Nov 2019
+
+% Close-in look at phase noise. Feed in a off-air sample file of a
+% sine wave, extracts the phase noise countour and returns the Doppler
+% spreading function that can be used to model the channel in
+% simulations
+
+function spread_FsHz = phase_noise(file_name)
+ Fs = 8000;
+ s = load_raw(file_name);
+ % skip past wave header
+ s = [zeros(256,1); s(256:end)];
+ S = abs(fft(s(1:Fs).*hanning(Fs)));
+ [mx mx_bin] = max(S);
+ ftone = mx_bin-1;
+
+ figure(1); clf;
+ plot(20*log10(S(1:Fs/2)))
+ title('Input Spectrum');
+
+ % downshift to baseband and LPF. We just want the sinusoid with as little
+ % additive AWGN noise as possible
+ sbb = s' .* exp(-j*(1:length(s))*2*pi*ftone/Fs);
+ [b a] = cheby1(4, 1, 20/Fs);
+ sbb_lpf = filter(b,a,sbb);
+
+ spread_fsHz = sbb_lpf;
+
+ % estimate and remove fine freq offset, and HF phase noise
+
+ st = Fs; en = 20*Fs;
+ phase = unwrap(angle(sbb_lpf(st:en)));
+ fine_freq = mean(phase(2:end) - phase(1:end-1));
+ sbb_lpf_fine = sbb_lpf .* exp(-j*(1:length(sbb_lpf))*fine_freq);
+ phase = unwrap(angle(sbb_lpf_fine(st:en)));
+
+ printf("length: %3.2fs freq: %5.1f\n", length(s)/Fs, ftone+fine_freq*Fs/(2*pi));
+
+ figure(2); clf;
+ plot3((st:en)/Fs, real(sbb_lpf_fine(st:en)),imag(sbb_lpf_fine(st:en)))
+ title('Polar phase trajectory');
+
+ figure(3); clf;
+ S2 = fftshift(fft(sbb_lpf_fine(Fs:Fs*11)));
+ [mx mx_bin] = max(abs(S2));
+ S2dB = 20*log10(abs(S2));
+ mxdB = 10*ceil(max(S2dB)/10);
+ x = -10:0.1:10;
+ plot(x,S2dB(mx_bin-100:mx_bin+100));
+ axis([-10 10 mxdB-40 mxdB])
+ title('Close in Phase Noise Spectrum');
+ xlabel('Freq (Hz)');
+ grid;
+
+ figure(5); clf;
+ t = (st:en)/Fs;
+ plot(t, phase,'b;phase;');
+ title('Unwrapped Phase');
+ xlabel('Time (sec)')
+ ylabel('Phase (radians)')
+
+ figure(6); clf;
+ beta = 0.00001;
+ rate_of_change_Hz = filter(beta, [1 -(1-beta)],phase(2:end) - phase(1:end-1))*Fs/pi;
+ plot(t(2:end), rate_of_change_Hz)
+ title('Rate of change of phase (Hz)');
+ xlabel('Time (sec)')
+ ylabel('Freq (Hz)')
+
+ spread_FsHz = sbb_lpf_fine/std(sbb_lpf_fine);
+end
diff --git a/libcodec2-android/src/codec2/octave/pitch_test.m b/libcodec2-android/src/codec2/octave/pitch_test.m
new file mode 100644
index 0000000..3fe0d1a
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/pitch_test.m
@@ -0,0 +1,39 @@
+% pitch_test.m
+% David Rowe Sep 2009
+% Constructs a sequence to test the pitch estimator
+
+function pitch_test(samname)
+ M=320;
+ F=200;
+
+ fs=fopen(samname,"wb");
+
+ f0 = 100;
+ for f=1:200
+ Wo=2*pi*f0/8000;
+ P=2*pi/Wo;
+ L = floor(pi/Wo);
+ A = 10000/L;
+ phi = zeros(1,L);
+ s = zeros(1,M);
+
+ for m=1:L
+ s = s + A*cos(m*Wo*(0:(M-1)) + phi(m));
+ endfor
+
+ figure(1);
+ clf;
+ plot(s);
+
+ fwrite(fs,s,"short");
+
+ f0 = f0 + 5;
+ if (f0 > 400)
+ f0 = 100;
+ endif
+ endfor
+
+ fclose(fs);
+
+endfunction
+
diff --git a/libcodec2-android/src/codec2/octave/pl.m b/libcodec2-android/src/codec2/octave/pl.m
new file mode 100644
index 0000000..0d54788
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/pl.m
@@ -0,0 +1,45 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Plots a raw speech sample file, you can optionally specify the start and end
+% samples and create a large and small PNGs
+
+function pl(samname1, start_sam, end_sam, pngname)
+
+ fs=fopen(samname1,"rb");
+ s=fread(fs,Inf,"short");
+
+ st = 1;
+ en = length(s);
+ if (nargin >= 2)
+ st = start_sam;
+ endif
+ if (nargin >= 3)
+ en = end_sam;
+ endif
+
+ figure(1);
+ clf;
+ plot(s(st:en));
+ axis([1 en-st 1.1*min(s) 1.1*max(s)]);
+
+ if (nargin == 4)
+
+ % small image
+
+ __gnuplot_set__ terminal png size 420,300
+ ss = sprintf("__gnuplot_set__ output \"%s.png\"", pngname);
+ eval(ss)
+ replot;
+
+ % larger image
+
+ __gnuplot_set__ terminal png size 800,600
+ ss = sprintf("__gnuplot_set__ output \"%s_large.png\"", pngname);
+ eval(ss)
+ replot;
+
+ endif
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/pl2.m b/libcodec2-android/src/codec2/octave/pl2.m
new file mode 100644
index 0000000..c7af10c
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/pl2.m
@@ -0,0 +1,44 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+
+function pl2(samname1, samname2, start_sam, end_sam, offset)
+
+ fs1=fopen(samname1,"rb");
+ s1=fread(fs1,Inf,"short");
+ fs2=fopen(samname2,"rb");
+ s2=fread(fs2,Inf,"short");
+
+ st1 = st2 = 1;
+ en1 = en2 = length(s1);
+ if (nargin >= 3)
+ st1 = st2 = start_sam;
+ endif
+ if (nargin >= 4)
+ en1 = en2 = end_sam;
+ endif
+
+ if (nargin == 5)
+ st2 += offset
+ en2 += offset
+ endif
+
+ figure(1);
+ clf;
+ subplot(211);
+ l1 = strcat("r;",samname1,";");
+ plot(s1(st1:en1), l1);
+ axis([1 en1-st1 min(s1(st1:en1)) max(s1(st1:en1))]);
+ subplot(212);
+ l2 = strcat("r;",samname2,";");
+ plot(s2(st2:en2),l2);
+ axis([1 en2-st2 min(s1(st2:en2)) max(s1(st2:en2))]);
+
+ figure(2)
+ plot(s1(st1:en1)-s2(st2:en2));
+
+ f=fopen("diff.raw","wb");
+ d = s1(st1:en1)-s2(st2:en2);
+ fwrite(f,d,"short");
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/plamp.m b/libcodec2-android/src/codec2/octave/plamp.m
new file mode 100644
index 0000000..62b6893
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/plamp.m
@@ -0,0 +1,197 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Plot ampltiude modelling information from dump files.
+
+function plamp(samname, f, samname2)
+
+ % switch some stuff off to unclutter display
+
+ plot_lsp = 0;
+ plot_snr = 0;
+ plot_vsnr = 0;
+ plot_sw = 0;
+ plot_pw = 0;
+
+ sn_name = strcat(samname,"_sn.txt");
+ Sn = load(sn_name);
+
+ sw_name = strcat(samname,"_sw.txt");
+ Sw = load(sw_name);
+
+ sw__name = strcat(samname,"_sw_.txt");
+ if (file_in_path(".",sw__name))
+ Sw_ = load(sw__name);
+ endif
+
+ ew_name = strcat(samname,"_ew.txt");
+ if (file_in_path(".",ew_name))
+ Ew = load(ew_name);
+ endif
+
+ rk_name = strcat(samname,"_rk.txt");
+ if (file_in_path(".",rk_name))
+ Rk = load(rk_name);
+ endif
+
+ model_name = strcat(samname,"_model.txt");
+ model = load(model_name);
+
+ modelq_name = strcat(samname,"_qmodel.txt");
+ if (file_in_path(".",modelq_name))
+ modelq = load(modelq_name);
+ endif
+
+ pw_name = strcat(samname,"_pw.txt");
+ if (file_in_path(".",pw_name))
+ Pw = load(pw_name);
+ endif
+
+ lsp_name = strcat(samname,"_lsp.txt");
+ if (file_in_path(".",lsp_name))
+ lsp = load(lsp_name);
+ endif
+
+ phase_name = strcat(samname,"_phase.txt");
+ if (file_in_path(".",phase_name))
+ phase = load(phase_name);
+ endif
+
+ phase_name_ = strcat(samname,"_phase_.txt");
+ if (file_in_path(".",phase_name_))
+ phase_ = load(phase_name_);
+ endif
+
+ snr_name = strcat(samname,"_snr.txt");
+ if (file_in_path(".",snr_name))
+ snr = load(snr_name);
+ endif
+
+ % optional second file, for exploring post filter
+
+ model2q_name = " ";
+ if nargin == 3
+ model2q_name = strcat(samname2,"_qmodel.txt");
+ if file_in_path(".",modelq_name)
+ model2q = load(model2q_name);
+ end
+ end
+
+ Ew_on = 1;
+ k = ' ';
+ do
+ figure(1);
+ clf;
+% s = [ Sn(2*(f-2)-1,:) Sn(2*(f-2),:) ];
+ s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+ size(s);
+ plot(s);
+ axis([1 length(s) -20000 20000]);
+
+ figure(2);
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ plot((1:L)*Wo*4000/pi, 20*log10(Am),";Am;r");
+ axis([1 4000 -10 80]);
+ hold on;
+ if plot_sw
+ plot((0:255)*4000/256, Sw(f,:),";Sw;");
+ end
+
+ if (file_in_path(".",modelq_name))
+ Amq = modelq(f,3:(L+2));
+ plot((1:L)*Wo*4000/pi, 20*log10(Amq),";Amq;g" );
+ if (file_in_path(".",pw_name) && plot_pw)
+ plot((0:255)*4000/256, 10*log10(Pw(f,:)),";Pw;c");
+ endif
+ signal = Am * Am';
+ noise = (Am-Amq) * (Am-Amq)';
+ snr1 = 10*log10(signal/noise);
+ Am_err_label = sprintf(";Am error SNR %4.2f dB;m",snr1);
+ plot((1:L)*Wo*4000/pi, 20*log10(Amq) - 20*log10(Am), Am_err_label);
+ endif
+
+ if file_in_path(".",model2q_name)
+ Amq2 = model2q(f,3:(L+2));
+ plot((1:L)*Wo*4000/pi, 20*log10(Amq2),";Amq2;m" );
+ end
+
+ if (file_in_path(".",snr_name) && plot_vsnr)
+ snr_label = sprintf(";Voicing SNR %4.2f dB;",snr(f));
+ plot(1,1,snr_label);
+ endif
+
+ % phase model - determine SNR and error spectrum for phase model 1
+
+ if (file_in_path(".",phase_name_))
+ orig = Am.*exp(j*phase(f,1:L));
+ synth = Am.*exp(j*phase_(f,1:L));
+ signal = orig * orig';
+ noise = (orig-synth) * (orig-synth)';
+ snr_phase = 10*log10(signal/noise);
+
+ %phase_err_label = sprintf(";phase_err SNR %4.2f dB;",snr_phase);
+ %plot((1:L)*Wo*4000/pi, 20*log10(orig-synth), phase_err_label);
+ endif
+
+ if (file_in_path(".",lsp_name) && plot_lsp)
+ for l=1:10
+ plot([lsp(f,l)*4000/pi lsp(f,l)*4000/pi], [60 80], 'r');
+ endfor
+ endif
+
+ hold off;
+
+ %if (file_in_path(".",phase_name))
+ %figure(3);
+ %plot((1:L)*Wo*4000/pi, phase(f,1:L), ";phase;");
+ %axis;
+ %if (file_in_path(".",phase_name_))
+ %hold on;
+ %plot((1:L)*Wo*4000/pi, phase_(f,1:L), ";phase_;");
+ %hold off;
+ %endif
+ %figure(2);
+ %endif
+
+ % interactive menu
+
+ printf("\rframe: %d menu: n-next b-back p-png q-quit e-toggle Ew", f);
+ fflush(stdout);
+ k = kbhit();
+ if (k == 'n')
+ f = f + 1;
+ endif
+ if (k == 'b')
+ f = f - 1;
+ endif
+ if (k == 'e')
+ if (Ew_on == 1)
+ Ew_on = 0;
+ else
+ Ew_on = 1;
+ endif
+ endif
+
+ % optional print to PNG
+
+ if (k == 'p')
+ figure(1);
+ pngname = sprintf("%s_%d_sn.png",samname,f);
+ print(pngname, '-dpng', "-S500,500")
+ pngname = sprintf("%s_%d_sn_large.png",samname,f);
+ print(pngname, '-dpng', "-S800,600")
+
+ figure(2);
+ pngname = sprintf("%s_%d_sw.png",samname,f);
+ print(pngname, '-dpng', "-S500,500")
+ pngname = sprintf("%s_%d_sw_large.png",samname,f);
+ print(pngname, '-dpng', "-S1200,800")
+ endif
+
+ until (k == 'q')
+ printf("\n");
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/plinterp.m b/libcodec2-android/src/codec2/octave/plinterp.m
new file mode 100644
index 0000000..794a085
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/plinterp.m
@@ -0,0 +1,11 @@
+load ../unittest/tinterp_prev.txt;
+load ../unittest/tinterp_interp.txt;
+load ../unittest/tinterp_next.txt;
+
+clf;
+plot(tinterp_prev(:,1), 20.0*log10(tinterp_prev(:,2)),";prev;")
+hold on;
+plot(tinterp_interp(:,1), 20.0*log10(tinterp_interp(:,2)),'g+-;interp;')
+plot(tinterp_next(:,1), 20.0*log10(tinterp_next(:,2)),'ro-;next;')
+hold off;
+axis([0 pi 0 80])
diff --git a/libcodec2-android/src/codec2/octave/pllpcpf.m b/libcodec2-android/src/codec2/octave/pllpcpf.m
new file mode 100644
index 0000000..924e045
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/pllpcpf.m
@@ -0,0 +1,150 @@
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Plot amplitude modelling information from dump files to test and develop
+% LPC post filter.
+
+function pllpcpf(samname, f)
+
+ % switch some stuff off to unclutter display
+
+ plot_Am = 0;
+ plot_Amq = 0;
+ plot_err = 0;
+ plot_lsp = 0;
+ plot_snr = 0;
+ plot_vsnr = 0;
+ plot_sw = 0;
+ plot_pw = 1;
+ plot_pwb = 1;
+ plot_rw = 1;
+
+ sn_name = strcat(samname,"_sn.txt");
+ Sn = load(sn_name);
+
+ sw_name = strcat(samname,"_sw.txt");
+ Sw = load(sw_name);
+
+ sw__name = strcat(samname,"_sw_.txt");
+ if (file_in_path(".",sw__name))
+ Sw_ = load(sw__name);
+ endif
+
+ model_name = strcat(samname,"_model.txt");
+ model = load(model_name);
+
+ modelq_name = strcat(samname,"_qmodel.txt");
+ if (file_in_path(".",modelq_name))
+ modelq = load(modelq_name);
+ endif
+
+ % Pw (LPC synth filter spectrum) before post filter
+
+ pwb_name = strcat(samname,"_pwb.txt");
+ if (file_in_path(".",pwb_name))
+ Pwb = load(pwb_name);
+ endif
+
+ % Rw (Post filter spectrum)
+
+ rw_name = strcat(samname,"_rw.txt");
+ if (file_in_path(".",rw_name))
+ Rw = load(rw_name);
+ endif
+
+ % Pw (LPC synth filter spectrum) after post filter
+
+ pw_name = strcat(samname,"_pw.txt");
+ if (file_in_path(".",pw_name))
+ Pw = load(pw_name);
+ endif
+
+
+ Ew_on = 1;
+ k = ' ';
+ do
+ figure(1);
+ clf;
+ s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+ size(s);
+ plot(s);
+ axis([1 length(s) -20000 20000]);
+
+ figure(2);
+ clf;
+ Wo = model(f,1);
+ L = model(f,2);
+ Am = model(f,3:(L+2));
+ if plot_Am
+ plot((1:L)*Wo*4000/pi, 20*log10(Am),";Am;r");
+ end
+ axis([1 4000 -10 80]);
+ hold on;
+ if plot_sw
+ plot((0:255)*4000/256, Sw(f,:),";Sw;");
+ end
+
+ if (file_in_path(".",modelq_name))
+
+ Amq = modelq(f,3:(L+2));
+ if plot_Amq
+ plot((1:L)*Wo*4000/pi, 20*log10(Amq),";Amq;g" );
+ end
+
+ if (file_in_path(".",pwb_name) && plot_pwb)
+ plot((0:255)*4000/256, 10*log10(Pwb(f,:)),";Pwb;r");
+ endif
+
+ if (file_in_path(".",rw_name) && plot_rw)
+ plot((0:255)*4000/256, 10*log10(Rw(f,:)),";Rw;b");
+ endif
+
+ if (file_in_path(".",pw_name) && plot_pw)
+ plot((0:255)*4000/256, 10*log10(Pw(f,:)),";Pw;g.");
+ endif
+
+ signal = Am * Am';
+ noise = (Am-Amq) * (Am-Amq)';
+ snr1 = 10*log10(signal/noise);
+ Am_err_label = sprintf(";Am error SNR %4.2f dB;m",snr1);
+ if plot_err
+ plot((1:L)*Wo*4000/pi, 20*log10(Amq) - 20*log10(Am), Am_err_label);
+ end
+ endif
+
+
+ hold off;
+
+ % interactive menu
+
+ printf("\rframe: %d menu: n-next b-back p-png q-quit", f);
+ fflush(stdout);
+ k = kbhit();
+ if (k == 'n')
+ f = f + 1;
+ endif
+ if (k == 'b')
+ f = f - 1;
+ endif
+
+ % optional print to PNG
+
+ if (k == 'p')
+ figure(1);
+ pngname = sprintf("%s_%d_sn.png",samname,f);
+ print(pngname, '-dpng', "-S500,500")
+ pngname = sprintf("%s_%d_sn_large.png",samname,f);
+ print(pngname, '-dpng', "-S800,600")
+
+ figure(2);
+ pngname = sprintf("%s_%d_sw.png",samname,f);
+ print(pngname, '-dpng', "-S500,500")
+ pngname = sprintf("%s_%d_sw_large.png",samname,f);
+ print(pngname, '-dpng', "-S1200,800")
+ endif
+
+ until (k == 'q')
+ printf("\n");
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/pllsp.m b/libcodec2-android/src/codec2/octave/pllsp.m
new file mode 100644
index 0000000..0606d3c
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/pllsp.m
@@ -0,0 +1,46 @@
+% Copyright David Rowe 2010
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Plots a bunch of information related to LSP quantisation:
+% - speech file
+% - LSPs before and after quantisation
+% - SNR for each frame
+%
+% Note: there is a 160 sample (two frame delay) from the when a sample
+% enters the input buffer until it is at the centre of the analysis window
+
+function pllsp(rawfile,
+ dumpfile_prefix_lpc_only,
+ dumpfile_prefix_lsp,
+ start_f, end_f)
+
+ fs=fopen(rawfile,"rb");
+ s=fread(fs,Inf,"short");
+
+ lpc_snr_name = strcat(dumpfile_prefix_lpc_only,"_lpc_snr.txt");
+ lpc10_snr = load(lpc_snr_name);
+ lpc_snr_name = strcat(dumpfile_prefix_lsp,"_lpc_snr.txt");
+ lsp_snr = load(lpc_snr_name);
+
+ lsp_name = strcat(dumpfile_prefix_lsp,"_lsp.txt");
+ lsps = load(lsp_name);
+ [m,n]=size(lsps);
+ lsp = lsps(1:2:m,:);
+ lsp_ = lsps(2:2:m,:);
+
+ figure(1);
+ clf;
+ subplot(211);
+ sp = s((start_f-2)*80:(end_f-2)*80);
+ plot(sp);
+
+ subplot(212);
+ plot(lpc10_snr((start_f+1):end_f)-lsp_snr((start_f+1):end_f));
+
+ figure(2);
+ plot((4000/pi)*lsp((start_f+1):end_f,:));
+ hold on;
+ plot((4000/pi)*lsp_((start_f+1):end_f,:),'+-');
+ hold off;
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/pllspdt.m b/libcodec2-android/src/codec2/octave/pllspdt.m
new file mode 100644
index 0000000..c711aa4
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/pllspdt.m
@@ -0,0 +1,27 @@
+% pllspdt.m
+% Copyright David Rowe 2010
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Test script to plot differences in LSps between frames
+
+function pllspdt(rawfile,dumpfile_prefix_lsp,lspn, start_f, end_f)
+
+ fs=fopen(rawfile,"rb");
+ s=fread(fs,Inf,"short");
+
+ lsp_name = strcat(dumpfile_prefix_lsp,"_lsp.txt");
+ lsps = load(lsp_name);
+ [m,n]=size(lsps);
+ lsp = lsps(1:2:m,:);
+ lsp_ = lsps(2:2:m,:);
+ lspdt = lsp(2:m/2,:) - lsp(1:m/2-1,:);
+
+ figure(1);
+ clf;
+ sp = s((start_f-2)*80:(end_f-2)*80);
+ plot(sp);
+
+ figure(2);
+ plot((4000/pi)*lspdt((start_f+1):end_f,lspn));
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/plnlp.m b/libcodec2-android/src/codec2/octave/plnlp.m
new file mode 100644
index 0000000..01b4931
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/plnlp.m
@@ -0,0 +1,134 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Plot NLP states from dump files.
+
+function plnlp(samname, f)
+
+ sn_name = strcat(samname,"_sn.txt");
+ Sn = load(sn_name);
+
+ sw_name = strcat(samname,"_sw.txt");
+ Sw = load(sw_name);
+
+ fw_name = strcat(samname,"_fw.txt");
+ if (file_in_path(".",fw_name))
+ fw = load(fw_name);
+ endif
+
+ e_name = strcat(samname,"_e.txt");
+ if (file_in_path(".",e_name))
+ e = load(e_name);
+ endif
+
+ p_name = strcat(samname,".p");
+ if (file_in_path(".",p_name))
+ p = load(p_name);
+ endif
+
+ sq_name = strcat(samname,"_sq.txt");
+ if (file_in_path(".",sq_name))
+ sq = load(sq_name);
+ endif
+
+ dec_name = strcat(samname,"_dec.txt");
+ if (file_in_path(".",dec_name))
+ dec = load(dec_name);
+ endif
+
+ do
+ figure(1);
+ clf;
+ s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+ plot(s, ";Sn;");
+ grid
+ axis([1 length(s) -20000 20000]);
+
+ figure(2);
+ plot((0:255)*4000/256, Sw(f,:),";Sw;");
+ grid
+ axis([1 4000 -10 80]);
+ hold on;
+
+ f0 = 8000/p(f);
+ Wo = 2*pi/p(f);
+ L = floor(pi/Wo);
+ f0_label = sprintf("b;P=%3.1f F0=%3.0f;",p(f),f0);
+ for m=1:L-1
+ plot([ m*Wo*4000/pi m*Wo*4000/pi], [10 60], 'b');
+ endfor
+ plot([ L*Wo*4000/pi L*Wo*4000/pi], [10 60], f0_label);
+
+ hold off;
+
+ if (file_in_path(".",fw_name))
+ figure(3);
+ if (file_in_path(".",e_name))
+ subplot(211);
+ endif
+ plot((0:255)*800/256, fw(f,:)/max(fw(f,:)), ";Fw;");
+ axis([1 400 0 1]);
+ if (file_in_path(".",e_name))
+ subplot(212);
+ e_concat = [ e(2*f-1,:) e(2*f,:) ];
+ plot(e_concat(1:400)/max(e_concat(1:400)), "+;MBE E(f);");
+ axis([1 400 0 1]);
+ endif
+ endif
+
+ if (file_in_path(".",sq_name))
+ figure(4);
+ sq_concat = [ sq(2*f-1,:) sq(2*f,:) ];
+ axis
+ plot(sq_concat, ";sq;");
+ endif
+
+ if (file_in_path(".",dec_name))
+ figure(5);
+ plot(dec(f,:), ";dec;");
+ endif
+
+ figure(2);
+
+ % interactive menu
+
+ printf("\rframe: %d menu: n-next b-back p-png q-quit ", f);
+ fflush(stdout);
+ k = kbhit();
+ if (k == 'n')
+ f = f + 1;
+ endif
+ if (k == 'b')
+ f = f - 1;
+ endif
+
+ % optional print to PNG
+
+ if (k == 'p')
+
+ pngname = sprintf("%s_%d",samname,f);
+
+ % small image
+
+ __gnuplot_set__ terminal png size 420,300
+ ss = sprintf("__gnuplot_set__ output \"%s.png\"", pngname);
+ eval(ss)
+ replot;
+
+ % larger image
+
+ __gnuplot_set__ terminal png size 800,600
+ ss = sprintf("__gnuplot_set__ output \"%s_large.png\"", pngname);
+ eval(ss)
+ replot;
+
+ % for some reason I need this to stop large plot getting wiped
+ __gnuplot_set__ output "/dev/null"
+
+ endif
+
+ until (k == 'q')
+ printf("\n");
+
+endfunction
diff --git a/libcodec2-android/src/codec2/octave/plot_fsk_demod_stats.py b/libcodec2-android/src/codec2/octave/plot_fsk_demod_stats.py
new file mode 100644
index 0000000..a73287d
--- /dev/null
+++ b/libcodec2-android/src/codec2/octave/plot_fsk_demod_stats.py
@@ -0,0 +1,95 @@
+#!/usr/bin/env python
+#
+# Plot fsk_demod statistic outputs.
+#
+# Copyright (C) 2018 Mark Jessop