pabr-leansdr/src/leansdr/filtergen.h

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3.2 KiB
C++

// This file is part of LeanSDR Copyright (C) 2016-2018 <pabr@pabr.org>.
// See the toplevel README for more information.
//
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// 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 General Public License
// along with this program. If not, see <http://www.gnu.org/licenses/>.
#ifndef LEANSDR_FILTERGEN_H
#define LEANSDR_FILTERGEN_H
#include <math.h>
namespace leansdr {
namespace filtergen {
template<typename T>
void normalize_power(int n, T *coeffs, float gain=1) {
float s2 = 0;
for ( int i=0; i<n; ++i ) s2 = s2 + coeffs[i]*coeffs[i]; // TBD complex
if ( s2 ) gain /= gen_sqrt(s2);
for ( int i=0; i<n; ++i ) coeffs[i] = coeffs[i] * gain;
}
template<typename T>
void normalize_dcgain(int n, T *coeffs, float gain=1) {
float s = 0;
for ( int i=0; i<n; ++i ) s = s + coeffs[i];
if ( s ) gain /= s;
for ( int i=0; i<n; ++i ) coeffs[i] = coeffs[i] * gain;
}
// Generate coefficients for a sinc filter.
// https://en.wikipedia.org/wiki/Sinc_filter
template<typename T>
int lowpass(int order, float Fcut, T **coeffs, float gain=1) {
int ncoeffs = order + 1;
*coeffs = new T[ncoeffs];
for ( int i=0; i<ncoeffs; ++i ) {
float t = i - (ncoeffs-1)*0.5;
float sinc = 2*Fcut * (t ? sin(2*M_PI*Fcut*t)/(2*M_PI*Fcut*t) : 1);
#if 0 // Hamming
float alpha = 25.0/46, beta = 21.0/46;
float window = alpha - beta*cos(2*M_PI*i/order);
#else
float window = 1;
#endif
(*coeffs)[i] = sinc * window;
}
normalize_dcgain(ncoeffs, *coeffs, gain);
return ncoeffs;
}
// Generate coefficients for a RRC filter.
// https://en.wikipedia.org/wiki/Root-raised-cosine_filter
template<typename T>
int root_raised_cosine(int order, float Fs, float rolloff, T **coeffs) {
float B = rolloff, pi = M_PI;
int ncoeffs = (order+1) | 1;
*coeffs = new T[ncoeffs];
for ( int i=0; i<ncoeffs; ++i ) {
int t = i - ncoeffs/2;
float c;
if ( t == 0 )
c = sqrt(Fs) * (1-B+4*B/pi);
else {
float tT = t * Fs;
float den = pi*tT*(1-(4*B*tT)*(4*B*tT));
if ( ! den )
c = B*sqrt(Fs/2) * ( (1+2/pi)*sin(pi/(4*B)) +
(1-2/pi)*cos(pi/(4*B)) );
else
c = sqrt(Fs) * ( sin(pi*tT*(1-B)) +
4*B*tT*cos(pi*tT*(1+B)) ) / den;
}
(*coeffs)[i] = c;
}
normalize_dcgain(ncoeffs, *coeffs);
return ncoeffs;
}
// Dump filter coefficients for matlab/octave
void dump_filter(const char *name, int ncoeffs, float *coeffs) {
fprintf(stderr, "%s = [", name);
for ( int i=0; i<ncoeffs; ++i )
fprintf(stderr, "%s %f", (i?",":""), coeffs[i]);
fprintf(stderr, " ];\n");
}
} // namespace
} // namespace
#endif // LEANSDR_FILTERGEN_H