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sdrangel/sdrbase/dsp/gaussian.h
2021-05-07 22:06:51 +01:00

122 lines
4.4 KiB
C++

///////////////////////////////////////////////////////////////////////////////////
// Copyright (C) 2015 Edouard Griffiths, F4EXB //
// Copyright (C) 2020 Jon Beniston, M7RCE //
// //
// 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/>. //
///////////////////////////////////////////////////////////////////////////////////
#ifndef INCLUDE_GAUSSIAN_H
#define INCLUDE_GAUSSIAN_H
#include <math.h>
#include "dsp/dsptypes.h"
// Standard values for bt
#define GAUSSIAN_BT_BLUETOOTH 0.5
#define GAUSSIAN_BT_GSM 0.3
#define GAUSSIAN_BT_CCSDS 0.25
#define GAUSSIAN_BT_802_15_4 0.5
#define GAUSSIAN_BT_AIS 0.5
// Gaussian low-pass filter for pulse shaping
// https://onlinelibrary.wiley.com/doi/pdf/10.1002/9780470041956.app2
// Unlike raisedcosine.h, this should be feed NRZ values rather than impulse stream, as described here:
// https://www.mathworks.com/matlabcentral/answers/107231-why-does-the-pulse-shape-generated-by-gaussdesign-differ-from-that-used-in-the-comm-gmskmodulator-ob
template <class Type> class Gaussian {
public:
Gaussian() : m_ptr(0) { }
// bt - 3dB bandwidth symbol time product
// symbolSpan - number of symbols over which the filter is spread
// samplesPerSymbol - number of samples per symbol
void create(double bt, int symbolSpan, int samplesPerSymbol)
{
int nTaps = symbolSpan * samplesPerSymbol + 1;
int i;
// check constraints
if(!(nTaps & 1)) {
qDebug("Gaussian filter has to have an odd number of taps");
nTaps++;
}
// make room
m_samples.resize(nTaps);
for(int i = 0; i < nTaps; i++)
m_samples[i] = 0;
m_ptr = 0;
m_taps.resize(nTaps / 2 + 1);
// See eq B.2 - this is alpha over Ts
double alpha_t = std::sqrt(std::log(2.0) / 2.0) / (bt);
double sqrt_pi_alpha_t = std::sqrt(M_PI) / alpha_t;
// calculate filter taps
for(i = 0; i < nTaps / 2 + 1; i++)
{
double t = (i - (nTaps / 2)) / (double)samplesPerSymbol;
// See eq B.5
m_taps[i] = sqrt_pi_alpha_t * std::exp(-std::pow(t * M_PI / alpha_t, 2.0));
}
// normalize
double sum = 0;
for(i = 0; i < (int)m_taps.size() - 1; i++)
sum += m_taps[i] * 2;
sum += m_taps[i];
for(i = 0; i < (int)m_taps.size(); i++)
m_taps[i] /= sum;
}
Type filter(Type sample)
{
Type acc = 0;
unsigned int n_samples = m_samples.size();
unsigned int n_taps = m_taps.size() - 1;
unsigned int a = m_ptr;
unsigned int b = a == n_samples - 1 ? 0 : a + 1;
m_samples[m_ptr] = sample;
for (unsigned int i = 0; i < n_taps; ++i)
{
acc += (m_samples[a] + m_samples[b]) * m_taps[i];
a = (a == 0) ? n_samples - 1 : a - 1;
b = (b == n_samples - 1) ? 0 : b + 1;
}
acc += m_samples[a] * m_taps[n_taps];
m_ptr = (m_ptr == n_samples - 1) ? 0 : m_ptr + 1;
return acc;
}
/*
void printTaps()
{
for (int i = 0; i < m_taps.size(); i++)
printf("%.4f ", m_taps[i]);
printf("\n");
}
*/
private:
std::vector<Real> m_taps;
std::vector<Type> m_samples;
unsigned int m_ptr;
};
#endif // INCLUDE_GAUSSIAN_H