mirror of
https://github.com/f4exb/sdrangel.git
synced 2024-11-05 00:11:16 -05:00
209 lines
6.1 KiB
C++
209 lines
6.1 KiB
C++
///////////////////////////////////////////////////////////////////////////////////
|
|
// Copyright (C) 2019 Edouard Griffiths, F4EXB //
|
|
// //
|
|
// 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 as 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 V3 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/>. //
|
|
///////////////////////////////////////////////////////////////////////////////////
|
|
|
|
#include <cmath>
|
|
#include <algorithm>
|
|
#include <QDebug>
|
|
|
|
#include "audiofilter.h"
|
|
|
|
// f(-3dB) = 3.6 kHz @ 48000 Hz SR (w = 0.0375):
|
|
const float AudioFilter::m_lpa[3] = {1.0, 1.392667E+00, -5.474446E-01};
|
|
const float AudioFilter::m_lpb[3] = {3.869430E-02, 7.738860E-02, 3.869430E-02};
|
|
// f(-3dB) = 300 Hz @ 8000 Hz SR (w = 0.0375):
|
|
const float AudioFilter::m_hpa[3] = {1.000000e+00, 1.667871e+00, -7.156964e-01};
|
|
const float AudioFilter::m_hpb[3] = {8.459039e-01, -1.691760e+00, 8.459039e-01};
|
|
|
|
AudioFilter::AudioFilter() :
|
|
m_filterLP(m_lpa, m_lpb),
|
|
m_filterHP(m_hpa, m_hpb),
|
|
m_useHP(false)
|
|
{}
|
|
|
|
AudioFilter::~AudioFilter()
|
|
{}
|
|
|
|
|
|
void AudioFilter::setDecimFilters(int srHigh, int srLow, float fcHigh, float fcLow, float fgain)
|
|
{
|
|
double fcNormHigh = fcHigh / srHigh;
|
|
double fcNormLow = fcLow / srLow;
|
|
|
|
calculate2(false, fcNormHigh, m_lpva, m_lpvb, fgain);
|
|
calculate2(true, fcNormLow, m_hpva, m_hpvb, fgain);
|
|
|
|
m_filterLP.setCoeffs(m_lpva, m_lpvb);
|
|
m_filterHP.setCoeffs(m_hpva, m_hpvb);
|
|
}
|
|
|
|
void AudioFilter::calculate2(bool highPass, double fc, float *va, float *vb, float fgain)
|
|
{
|
|
double a[22], b[22];
|
|
|
|
cheby(highPass, fc, 0.5, 2, a, b, fgain); // low-pass, 0.5% ripple, 2 pole filter
|
|
|
|
// Copy to the 2-pole filter coefficients
|
|
for (int i=0; i<3; i++) {
|
|
vb[i] = a[i];
|
|
va[i] = b[i];
|
|
}
|
|
|
|
va[0] = 1.0;
|
|
|
|
qDebug() << "AudioFilter::calculate2:"
|
|
<< " highPass: " << highPass
|
|
<< " fc: " << fc
|
|
<< " a0: " << va[0]
|
|
<< " a1: " << va[1]
|
|
<< " a2: " << va[2]
|
|
<< " b0: " << vb[0]
|
|
<< " b1: " << vb[1]
|
|
<< " b2: " << vb[2];
|
|
}
|
|
|
|
/*
|
|
* Adapted from BASIC program in table 20-4 of
|
|
* https://www.analog.com/media/en/technical-documentation/dsp-book/dsp_book_Ch20.pdf
|
|
*/
|
|
void AudioFilter::cheby(bool highPass, double fc, float pr, int np, double *a, double *b, float fgain)
|
|
{
|
|
double a0, a1, a2, b1, b2;
|
|
double ta[22], tb[22];
|
|
|
|
std::fill(a, a+22, 0.0);
|
|
std::fill(b, b+22, 0.0);
|
|
a[2] = 1.0;
|
|
b[2] = 1.0;
|
|
|
|
for (int p = 1; p <= np/2; p++)
|
|
{
|
|
cheby_sub(highPass, fc, pr, np, p, a0, a1, a2, b1, b2);
|
|
|
|
// Add coefficients to the cascade
|
|
for (int i=0; i<22; i++)
|
|
{
|
|
ta[i] = a[i];
|
|
tb[i] = b[i];
|
|
}
|
|
|
|
for (int i=2; i<22; i++)
|
|
{
|
|
a[i] = a0*ta[i] + a1*ta[i-1] + a2*ta[i-2];
|
|
b[i] = tb[i] - b1*tb[i-1] - b2*tb[i-2];
|
|
}
|
|
}
|
|
|
|
// Finish combining coefficients
|
|
b[2] = 0;
|
|
|
|
for (int i=0; i<20; i++)
|
|
{
|
|
a[i] = a[i+2];
|
|
b[i] = -b[i+2];
|
|
}
|
|
|
|
// Normalize the gain
|
|
double sa = 0.0;
|
|
double sb = 0.0;
|
|
|
|
for (int i=0; i<20; i++)
|
|
{
|
|
if (highPass)
|
|
{
|
|
sa += i%2 == 0 ? a[i] : -a[i];
|
|
sb += i%2 == 0 ? b[i] : -b[i];
|
|
}
|
|
else
|
|
{
|
|
sa += a[i];
|
|
sb += b[i];
|
|
}
|
|
}
|
|
|
|
double gain = sa/(1.0 -sb);
|
|
gain /= fgain;
|
|
|
|
for (int i=0; i<20; i++) {
|
|
a[i] /= gain;
|
|
}
|
|
}
|
|
|
|
/*
|
|
* Adapted from BASIC subroutine in table 20-5 of
|
|
* https://www.analog.com/media/en/technical-documentation/dsp-book/dsp_book_Ch20.pdf
|
|
*/
|
|
void AudioFilter::cheby_sub(bool highPass, double fc, float pr, int np, int stage, double& a0, double& a1, double& a2, double& b1, double& b2)
|
|
{
|
|
double rp = -cos((M_PI/(np*2)) + (stage-1)*(M_PI/np));
|
|
double ip = sin((M_PI/(np*2)) + (stage-1)*(M_PI/np));
|
|
|
|
// Warp from a circle to an ellipse
|
|
double esx = 100.0 / (100.0 - pr);
|
|
double es = sqrt(esx*esx -1.0);
|
|
double vx = (1.0/np) * log((1.0/es) + sqrt((1.0/(es*es)) + 1.0));
|
|
double kx = (1.0/np) * log((1.0/es) + sqrt((1.0/(es*es)) - 1.0));
|
|
kx = (exp(kx) + exp(-kx))/2.0;
|
|
rp = rp * ((exp(vx) - exp(-vx))/2.0) / kx;
|
|
ip = ip * ((exp(vx) + exp(-vx))/2.0) / kx;
|
|
|
|
double t = 2.0 * tan(0.5);
|
|
double w = 2.0 * M_PI * fc;
|
|
double m = rp*rp + ip*ip;
|
|
double d = 4.0 - 4.0*rp*t + m*t*t;
|
|
double x0 = (t*t)/d;
|
|
double x1 = (2.0*t*t)/d;
|
|
double x2 = (t*t)/d;
|
|
double y1 = (8.0 - 2.0*m*t*t)/d;
|
|
double y2 = (-4.0 - 4.0*rp*t - m*t*t)/d;
|
|
double k;
|
|
|
|
if (highPass) {
|
|
k = -cos(w/2.0 + 0.5) / cos(w/2.0 - 0.5);
|
|
} else {
|
|
k = sin(0.5 - w/2.0) / sin(0.5 + w/2.0);
|
|
}
|
|
|
|
d = 1.0 + y1*k - y2*k*k;
|
|
|
|
a0 = (x0 - x1*k + x2*k*k)/d;
|
|
a1 = (-2.0*x0*k + x1 + x1*k*k - 2.0*x2*k)/d;
|
|
a2 = (x0*k*k - x1*k + x2)/d;
|
|
b1 = (2.0*k + y1 + y1*k*k - 2.0*y2*k)/d;
|
|
b2 = (-(k*k) - y1*k + y2)/d;
|
|
|
|
if (highPass)
|
|
{
|
|
a1 = -a1;
|
|
b1 = -b1;
|
|
}
|
|
}
|
|
|
|
float AudioFilter::run(const float& sample)
|
|
{
|
|
return m_useHP ? m_filterLP.run(m_filterHP.run(sample)) : m_filterLP.run(sample);
|
|
}
|
|
|
|
float AudioFilter::runHP(const float& sample)
|
|
{
|
|
return m_filterHP.run(sample);
|
|
}
|
|
|
|
float AudioFilter::runLP(const float& sample)
|
|
{
|
|
return m_filterLP.run(sample);
|
|
}
|