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								///////////////////////////////////////////////////////////////////////////////////
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								// Copyright (C) 2018 F4EXB                                                      //
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								// written by Edouard Griffiths                                                  //
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								//                                                                               //
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								// See: http://liquidsdr.org/blog/pll-howto/                                     //
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								// Fixed filter registers saturation                                             //
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								// Added order for PSK locking. This brilliant idea actually comes from this     //
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								// post: https://www.dsprelated.com/showthread/comp.dsp/36356-1.php              //
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								//                                                                               //
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								// This program is free software; you can redistribute it and/or modify          //
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								// it under the terms of the GNU General Public License as published by          //
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								// the Free Software Foundation as version 3 of the License, or                  //
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								//                                                                               //
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								// This program 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 V3 for more details.                               //
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								//                                                                               //
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								// You should have received a copy of the GNU General Public License             //
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								// along with this program. If not, see <http://www.gnu.org/licenses/>.          //
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								///////////////////////////////////////////////////////////////////////////////////
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								#include "freqlockcomplex.h"
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								#define _USE_MATH_DEFINES
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								#include <math.h>
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								FreqLockComplex::FreqLockComplex() :
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								    m_a0(0.998),
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								    m_a1(0.002),
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								    m_y(1.0, 0.0),
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								    m_yRe(1.0),
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								    m_yIm(0.0),
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								    m_freq(0.0),
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								    m_phi(0.0),
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								    m_phiX0(0.0),
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								    m_phiX1(0.0),
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								    m_y1(0.0f)
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								{
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								}
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								FreqLockComplex::~FreqLockComplex()
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								{
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								}
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								void FreqLockComplex::reset()
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								{
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								    m_y.real(1.0);
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								    m_y.imag(0.0);
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								    m_yRe = 1.0f;
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								    m_yIm = 0.0f;
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								    m_freq = 0.0f;
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								    m_phi = 0.0f;
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								    m_phiX0 = 0.0f;
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								    m_phiX1 = 0.0f;
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								    m_y1 = 0.0f;
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								}
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								void FreqLockComplex::setSampleRate(unsigned int sampleRate)
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								{
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								    m_a1 = 10.0f / sampleRate; // 1 - alpha
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								    m_a0 = 1.0f - m_a1; // alpha
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								    reset();
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								}
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								void FreqLockComplex::feed(float re, float im)
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								{
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								    m_yRe = cos(m_phi);
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								    m_yIm = sin(m_phi);
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								    m_y.real(m_yRe);
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								    m_y.imag(m_yIm);
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								    std::complex<float> x(re, im);
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								    m_phiX0 = std::arg(x);
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								    float eF = normalizeAngle(m_phiX0 - m_phiX1);
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								    float fHat = m_a1*eF + m_a0*m_y1;
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								    m_y1 = fHat;
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								    m_freq = fHat; // correct instantaneous frequency
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								    m_phi += fHat; // advance phase with instantaneous frequency
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								    m_phiX1 = m_phiX0;
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								}
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								float FreqLockComplex::normalizeAngle(float angle)
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								{
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								    while (angle <= -M_PI) {
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								        angle += 2.0*M_PI;
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								    }
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								    while (angle > M_PI) {
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								        angle -= 2.0*M_PI;
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								    }
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								    return angle;
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								}
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