kopia lustrzana https://github.com/Dsplib/libdspl-2.0
553 wiersze
11 KiB
C
553 wiersze
11 KiB
C
/*
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* Copyright (c) 2015-2019 Sergey Bakhurin
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* Digital Signal Processing Library [http://dsplib.org]
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*
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* This file is part of libdspl-2.0.
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*
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* is free software: you can redistribute it and/or modify
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* it under the terms of the GNU Lesser General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* DSPL is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with Foobar. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include "dspl.h"
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/******************************************************************************
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Analog Normalized Butterworth filter
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*******************************************************************************/
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int DSPL_API butter_ap(double rp, int ord, double* b, double* a)
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{
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int res;
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complex_t *z = NULL;
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complex_t *p = NULL;
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int nz, np;
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if(rp < 0.0)
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return ERROR_FILTER_RP;
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if(ord < 1)
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return ERROR_FILTER_ORD;
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if(!a || !b)
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return ERROR_PTR;
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z = (complex_t*) malloc(ord*sizeof(complex_t));
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p = (complex_t*) malloc(ord*sizeof(complex_t));
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res = butter_ap_zp(ord, rp, z, &nz, p, &np);
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if(res != RES_OK)
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goto exit_label;
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res = filter_zp2ab(z, nz, p, np, ord, b, a);
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if(res != RES_OK)
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goto exit_label;
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b[0] = a[0];
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exit_label:
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if(z)
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free(z);
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if(p)
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free(p);
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return res;
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}
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/******************************************************************************
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Analog Normalized Butterworth filter zeros and poles
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*******************************************************************************/
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int DSPL_API butter_ap_zp(int ord, double rp, complex_t *z, int* nz,
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complex_t *p, int* np)
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{
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double alpha;
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double theta;
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double ep;
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int r;
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int L;
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int ind = 0, k;
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if(rp < 0 || rp == 0)
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return ERROR_FILTER_RP;
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if(ord < 1)
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return ERROR_FILTER_ORD;
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if(!z || !p || !nz || !np)
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return ERROR_PTR;
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ep = sqrt(pow(10.0, rp*0.1) - 1.0);
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r = ord % 2;
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L = (int)((ord-r)/2);
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alpha = pow(ep, -1.0/(double)ord);
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if(r)
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{
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RE(p[ind]) = -alpha;
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IM(p[ind]) = 0.0;
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ind++;
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}
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for(k = 0; k < L; k++)
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{
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theta = M_PI*(double)(2*k + 1)/(double)(2*ord);
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RE(p[ind]) = RE(p[ind+1]) = -alpha * sin(theta);
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IM(p[ind]) = alpha * cos(theta);
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IM(p[ind+1]) = -alpha * cos(theta);
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ind+=2;
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}
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*np = ord;
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*nz = 0;
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return RES_OK;
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}
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/******************************************************************************
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Analog Normalized Chebyshev type 1 filter
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*******************************************************************************/
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int DSPL_API cheby1_ap(double rp, int ord, double* b, double* a)
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{
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int res;
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complex_t *z = NULL;
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complex_t *p = NULL;
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int nz, np, k;
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complex_t h0 = {1.0, 0.0};
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double tmp;
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if(rp < 0.0)
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return ERROR_FILTER_RP;
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if(ord < 1)
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return ERROR_FILTER_ORD;
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if(!a || !b)
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return ERROR_PTR;
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z = (complex_t*) malloc(ord*sizeof(complex_t));
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p = (complex_t*) malloc(ord*sizeof(complex_t));
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res = cheby1_ap_zp(ord, rp, z, &nz, p, &np);
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if(res != RES_OK)
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goto exit_label;
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res = filter_zp2ab(z, nz, p, np, ord, b, a);
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if(res != RES_OK)
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goto exit_label;
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if(!(ord % 2))
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RE(h0) = 1.0 / pow(10.0, rp*0.05);
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for(k = 0; k < np; k++)
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{
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tmp = CMRE(h0, p[k]);
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IM(h0) = CMIM(h0, p[k]);
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RE(h0) = tmp;
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}
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b[0] = fabs(RE(h0));
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exit_label:
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if(z)
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free(z);
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if(p)
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free(p);
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return res;
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}
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/******************************************************************************
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Analog Normalized Chebyshev type 1 filter zeros and poles
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*******************************************************************************/
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int DSPL_API cheby1_ap_zp(int ord, double rp, complex_t *z, int* nz,
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complex_t *p, int* np)
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{
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double theta;
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double ep;
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double beta;
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double shbeta;
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double chbeta;
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int r;
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int L;
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int ind = 0, k;
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if(rp < 0 || rp == 0)
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return ERROR_FILTER_RP;
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if(ord < 1)
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return ERROR_FILTER_ORD;
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if(!z || !p || !nz || !np)
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return ERROR_PTR;
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ep = sqrt(pow(10.0, rp*0.1) - 1.0);
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r = ord % 2;
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L = (int)((ord-r)/2);
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beta = asinh(1.0/ep)/(double)ord;
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chbeta = cosh(beta);
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shbeta = sinh(beta);
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if(r)
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{
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RE(p[ind]) = -shbeta;
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IM(p[ind]) = 0.0;
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ind++;
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}
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for(k = 0; k < L; k++)
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{
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theta = M_PI*(double)(2*k + 1)/(double)(2*ord);
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RE(p[ind]) = RE(p[ind+1]) = -shbeta * sin(theta);
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IM(p[ind]) = chbeta * cos(theta);
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IM(p[ind+1]) = -IM(p[ind]);
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ind+=2;
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}
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*np = ord;
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*nz = 0;
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return RES_OK;
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}
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/******************************************************************************
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* Analog Normalized Chebyshev type 2 filter
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******************************************************************************/
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int DSPL_API cheby2_ap(double rs, int ord, double* b, double* a)
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{
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int res;
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complex_t *z = NULL;
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complex_t *p = NULL;
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int nz, np;
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double norm;
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if(rs < 0.0)
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return ERROR_FILTER_RP;
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if(ord < 1)
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return ERROR_FILTER_ORD;
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if(!a || !b)
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return ERROR_PTR;
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z = (complex_t*) malloc(ord*sizeof(complex_t));
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p = (complex_t*) malloc(ord*sizeof(complex_t));
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res = cheby2_ap_zp(ord, rs, z, &nz, p, &np);
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if(res != RES_OK)
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goto exit_label;
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res = filter_zp2ab(z, nz, p, np, ord, b, a);
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if(res != RES_OK)
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goto exit_label;
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norm = a[0] / b[0];
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for(nz = 0; nz < ord+1; nz++)
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b[nz]*=norm;
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exit_label:
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if(z)
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free(z);
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if(p)
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free(p);
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return res;
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}
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/******************************************************************************
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Analog Normalized Chebyshev type 2 filter zeros and poles
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*******************************************************************************/
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int DSPL_API cheby2_ap_zp(int ord, double rs, complex_t *z, int* nz,
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complex_t *p, int* np)
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{
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double es;
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int L, r, k;
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double beta;
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int iz, ip;
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double alpha;
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double chb, shb, sa, ca;
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double ssh2, cch2;
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if(rs < 0 || rs == 0)
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return ERROR_FILTER_RS;
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if(ord < 1)
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return ERROR_FILTER_ORD;
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if(!z || !p || !nz || !np)
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return ERROR_PTR;
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es = sqrt(pow(10.0, rs*0.1) - 1.0);
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r = ord % 2;
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L = (int)((ord-r)/2);
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beta = asinh(es)/(double)ord;
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chb = cosh(beta);
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shb = sinh(beta);
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iz = ip = 0;
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if(r)
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{
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RE(p[0]) = -1.0 / sinh(beta);
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IM(p[0]) = 0.0;
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ip = 1;
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}
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for(k = 0; k < L; k++)
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{
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alpha = M_PI*(double)(2*k + 1)/(double)(2*ord);
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sa = sin(alpha);
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ca = cos(alpha);
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ssh2 = sa*shb;
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ssh2 *= ssh2;
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cch2 = ca*chb;
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cch2 *= cch2;
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RE(z[iz]) = RE(z[iz+1]) = 0.0;
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IM(z[iz]) = 1.0 / ca;
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IM(z[iz+1]) = -IM(z[iz]);
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iz+=2;
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RE(p[ip]) = RE(p[ip+1]) = -sa*shb / (ssh2 + cch2);
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IM(p[ip]) = ca*chb / (ssh2 + cch2);
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IM(p[ip+1]) = -IM(p[ip]);
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ip+=2;
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}
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*nz = iz;
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*np = ip;
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return RES_OK;
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}
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/******************************************************************************
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* Analog Normalized Elliptic filter
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*******************************************************************************/
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int DSPL_API ellip_ap(double rp, double rs, int ord, double* b, double* a)
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{
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int res;
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complex_t *z = NULL;
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complex_t *p = NULL;
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int nz, np;
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double norm, g0;
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if(rp < 0.0)
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return ERROR_FILTER_RP;
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if(rs < 0.0)
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return ERROR_FILTER_RS;
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if(ord < 1)
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return ERROR_FILTER_ORD;
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if(!a || !b)
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return ERROR_PTR;
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z = (complex_t*) malloc(ord*sizeof(complex_t));
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p = (complex_t*) malloc(ord*sizeof(complex_t));
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res = ellip_ap_zp(ord, rp, rs, z, &nz, p, &np);
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if(res != RES_OK)
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goto exit_label;
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res = filter_zp2ab(z, nz, p, np, ord, b, a);
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if(res != RES_OK)
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goto exit_label;
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g0 = 1.0;
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if(!(ord % 2))
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{
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g0 = 1.0 / pow(10.0, rp*0.05);
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}
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norm = g0 * a[0] / b[0];
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for(nz = 0; nz < ord+1; nz++)
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b[nz]*=norm;
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exit_label:
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if(z)
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free(z);
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if(p)
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free(p);
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return res;
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}
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/******************************************************************************
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A *nalog Normalized Chebyshev type 2 filter zeros and poles
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*******************************************************************************/
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int DSPL_API ellip_ap_zp(int ord, double rp, double rs,
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complex_t *z, int* nz, complex_t *p, int* np)
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{
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double es, ep;
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int L, r, n, res;
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int iz, ip;
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double ke, k, u, t;
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complex_t tc, v0, jv0;
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if(rp < 0 || rp == 0)
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return ERROR_FILTER_RP;
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if(rs < 0 || rs == 0)
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return ERROR_FILTER_RS;
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if(ord < 1)
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return ERROR_FILTER_ORD;
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if(!z || !p || !nz || !np)
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return ERROR_PTR;
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es = sqrt(pow(10.0, rs*0.1) - 1.0);
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ep = sqrt(pow(10.0, rp*0.1) - 1.0);
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ke = ep / es;
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r = ord % 2;
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L = (int)((ord-r)/2);
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res = ellip_modulareq(rp, rs, ord, &k);
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if(res != RES_OK)
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return res;
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// v0
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RE(tc) = 0.0;
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IM(tc) = 1.0 / ep;
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ellip_asn_cmplx(&tc, 1, ke, &v0);
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t = RE(v0);
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RE(v0) = IM(v0) / (double)ord;
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IM(v0) = -t / (double)ord;
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RE(jv0) = -IM(v0);
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IM(jv0) = RE(v0);
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iz = ip = 0;
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if(r)
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{
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res = ellip_sn_cmplx(&jv0, 1, k, &tc);
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if(res != RES_OK)
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return res;
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RE(p[0]) = -IM(tc);
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IM(p[0]) = RE(tc);
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ip = 1;
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}
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for(n = 0; n < L; n++)
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{
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u = (double)(2 * n + 1)/(double)ord;
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res = ellip_cd(& u, 1, k, &t);
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if(res != RES_OK)
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return res;
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RE(z[iz]) = RE(z[iz+1]) = 0.0;
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IM(z[iz]) = 1.0/(k*t);
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IM(z[iz+1]) = -1.0/(k*t);
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iz+=2;
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RE(tc) = u - RE(jv0);
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IM(tc) = - IM(jv0);
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res = ellip_cd_cmplx(&tc, 1, k, p+ip+1);
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if(res != RES_OK)
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return res;
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RE(p[ip]) = -IM(p[ip+1]);
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IM(p[ip]) = RE(p[ip+1]);
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RE(p[ip+1]) = RE(p[ip]);
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IM(p[ip+1]) = -IM(p[ip]);
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ip+=2;
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}
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*nz = iz;
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*np = ip;
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return RES_OK;
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}
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/******************************************************************************
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Zeros and poles to filter coefficients recalc
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*******************************************************************************/
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int DSPL_API filter_zp2ab(complex_t *z, int nz, complex_t *p, int np,
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int ord, double* b, double* a)
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{
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complex_t *acc = NULL;
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int res;
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if(!z || !p || !b || !a)
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return ERROR_PTR;
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if(nz < 0 || np < 0)
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return ERROR_SIZE;
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if(nz > ord || np > ord)
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return ERROR_POLY_ORD;
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acc = (complex_t*) malloc((ord+1) * sizeof(complex_t));
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res = poly_z2a_cmplx(z, nz, ord, acc);
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if(res != RES_OK)
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goto exit_label;
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res = cmplx2re(acc, ord+1, b, NULL);
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if(res != RES_OK)
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goto exit_label;
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res = poly_z2a_cmplx(p, np, ord, acc);
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if(res != RES_OK)
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goto exit_label;
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res = cmplx2re(acc, ord+1, a, NULL);
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if(res != RES_OK)
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goto exit_label;
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exit_label:
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if(acc)
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free(acc);
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return res;
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}
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