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New PLL with complex signal input and w, zeta, K parameters

This commit is contained in:
f4exb 2018-05-13 08:55:14 +02:00
parent 65df319167
commit 1549ecaa0f
3 changed files with 209 additions and 0 deletions

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@ -40,6 +40,7 @@ set(sdrbase_SOURCES
dsp/nco.cpp
dsp/ncof.cpp
dsp/phaselock.cpp
dsp/phaselockcomplex.cpp
dsp/projector.cpp
dsp/samplesinkfifo.cpp
dsp/samplesourcefifo.cpp
@ -146,6 +147,7 @@ set(sdrbase_HEADERS
dsp/ncof.h
dsp/phasediscri.h
dsp/phaselock.h
dsp/phaselockcomplex.h
dsp/projector.h
dsp/recursivefilters.h
dsp/samplesinkfifo.h

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@ -0,0 +1,137 @@
///////////////////////////////////////////////////////////////////////////////////
// Copyright (C) 2018 F4EXB //
// written by Edouard Griffiths //
// //
// See: http://liquidsdr.org/blog/pll-howto/ //
// Fixes filter registers saturation //
// //
// 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 //
// //
// 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 <complex.h>
#include <math.h>
#include "phaselockcomplex.h"
PhaseLockComplex::PhaseLockComplex() :
m_a1(1.0),
m_a2(1.0),
m_b0(1.0),
m_b1(1.0),
m_b2(1.0),
m_v0(0.0),
m_v1(0.0),
m_v2(0.0),
m_deltaPhi(0.0),
m_phiHatLast(0.0),
m_phiHat(0.0),
m_y(1.0, 0.0),
m_yRe(1.0),
m_yIm(0.0),
m_freq(0.0)
{
}
void PhaseLockComplex::computeCoefficients(Real wn, Real zeta, Real K)
{
double t1 = K/(wn*wn); //
double t2 = 2*zeta/wn - 1/K; //
double b0 = 2*K*(1.+t2/2.0f);
double b1 = 2*K*2.;
double b2 = 2*K*(1.-t2/2.0f);
double a0 = 1 + t1/2.0f;
double a1 = -t1;
double a2 = -1 + t1/2.0f;
qDebug("PhaseLockComplex::computeCoefficients: b_raw: %f %f %f", b0, b1, b2);
qDebug("PhaseLockComplex::computeCoefficients: a_raw: %f %f %f", a0, a1, a2);
m_b0 = b0 / a0;
m_b1 = b1 / a0;
m_b2 = b2 / a0;
// a0 = 1.0 is implied
m_a1 = a1 / a0;
m_a2 = a2 / a0;
qDebug("PhaseLockComplex::computeCoefficients: b: %f %f %f", m_b0, m_b1, m_b2);
qDebug("PhaseLockComplex::computeCoefficients: a: 1.0 %f %f", m_a1, m_a2);
reset();
}
void PhaseLockComplex::reset()
{
// reset filter accumulators and phase
m_v0 = 0.0f;
m_v1 = 0.0f;
m_v2 = 0.0f;
m_deltaPhi = 0.0f;
m_phiHatLast = 0.0f;
m_phiHat = 0.0f;
m_y.real(1.0);
m_y.real(0.0);
m_yRe = 1.0f;
m_yIm = 0.0f;
m_freq = 0.0f;
}
void PhaseLockComplex::feed(float re, float im)
{
m_yRe = cos(m_phiHat);
m_yIm = sin(m_phiHat);
m_y.real(m_yRe);
m_y.imag(m_yIm);
std::complex<float> x(re, im);
m_deltaPhi = std::arg(x * std::conj(m_y));
// advance buffer
m_v2 = m_v1; // shift center register to upper register
m_v1 = m_v0; // shift lower register to center register
// compute new lower register
m_v0 = m_deltaPhi - m_v1*m_a1 - m_v2*m_a2;
// compute new output
m_phiHat = m_v0*m_b0 + m_v1*m_b1 + m_v2*m_b2;
// prevent saturation
if (m_phiHat > 2.0*M_PI)
{
m_v0 *= (m_phiHat - 2.0*M_PI) / m_phiHat;
m_v1 *= (m_phiHat - 2.0*M_PI) / m_phiHat;
m_v2 *= (m_phiHat - 2.0*M_PI) / m_phiHat;
m_phiHat -= 2.0*M_PI;
}
if (m_phiHat < -2.0*M_PI)
{
m_v0 *= (m_phiHat + 2.0*M_PI) / m_phiHat;
m_v1 *= (m_phiHat + 2.0*M_PI) / m_phiHat;
m_v2 *= (m_phiHat + 2.0*M_PI) / m_phiHat;
m_phiHat += 2.0*M_PI;
}
m_freq = (m_phiHat - m_phiHatLast) / (2.0*M_PI);
if (m_freq < -1.0f) {
m_freq += 2.0f;
} else if (m_freq > 1.0f) {
m_freq -= 2.0f;
}
m_phiHatLast = m_phiHat;
}

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@ -0,0 +1,70 @@
///////////////////////////////////////////////////////////////////////////////////
// Copyright (C) 2018 F4EXB //
// written by Edouard Griffiths //
// //
// See: http://liquidsdr.org/blog/pll-howto/ //
// Fixes filter registers saturation //
// //
// 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 //
// //
// 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 SDRBASE_DSP_PHASELOCKCOMPLEX_H_
#define SDRBASE_DSP_PHASELOCKCOMPLEX_H_
#include "dsp/dsptypes.h"
#include "export.h"
/** General purpose Phase-locked loop using complex analytic signal input. */
class SDRBASE_API PhaseLockComplex
{
public:
PhaseLockComplex();
/** Compute loop filter parameters (active PI design)
* \param wn PLL bandwidth relative to Nyquist frequency
* \param zeta PLL damping factor
* \param K PLL loop gain
* */
void computeCoefficients(Real wn, Real zeta, Real K);
void reset();
void feed(float re, float im);
const std::complex<float>& getComplex() const { return m_y; }
float getReal() const { return m_yRe; }
float getImag() const { return m_yIm; }
bool locked() const { return (m_deltaPhi > -0.1) && (m_deltaPhi < 0.1); }
float getFrequency() const { return m_freq; }
float getDeltaPhi() const { return m_deltaPhi; }
float getPhiHat() const { return m_phiHat; }
private:
// a0 = 1 is implied
float m_a1;
float m_a2;
float m_b0;
float m_b1;
float m_b2;
float m_v0;
float m_v1;
float m_v2;
float m_deltaPhi;
float m_phiHatLast;
float m_phiHat;
std::complex<float> m_y;
float m_yRe;
float m_yIm;
float m_freq;
};
#endif /* SDRBASE_DSP_PHASELOCKCOMPLEX_H_ */