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			28 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			1183 lines
		
	
	
		
			28 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
/*  emnr.c
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This file is part of a program that implements a Software-Defined Radio.
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Copyright (C) 2015 Warren Pratt, NR0V
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Copyright (C) 2024 Edouard Griffiths, F4EXB Adapted to SDRangel
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This program is free software; you can redistribute it and/or
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modify it under the terms of the GNU General Public License
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as published by the Free Software Foundation; either version 2
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of the License, or (at your option) any later version.
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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 for more details.
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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, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
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The author can be reached by email at
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warren@wpratt.com
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*/
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#include <limits>
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#include "comm.hpp"
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#include "calculus.hpp"
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#include "emnr.hpp"
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#include "amd.hpp"
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#include "anr.hpp"
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#include "anf.hpp"
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#include "snba.hpp"
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#include "bandpass.hpp"
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namespace WDSP {
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EMNR::AE::AE(
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    int _msize,
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    const std::vector<double>& _lambda_y,
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    double _zetaThresh,
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    double _psi
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) :
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    msize(_msize),
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    lambda_y(_lambda_y),
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    zetaThresh(_zetaThresh),
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    psi(_psi)
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{
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    nmask.resize(msize);
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}
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EMNR::NPS::NPS(
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    int _incr,
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    double _rate,
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    int _msize,
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    const std::vector<double>& _lambda_y,
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    std::vector<double>& _lambda_d,
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    double _alpha_pow,
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    double _alpha_Pbar,
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    double _epsH1
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) :
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    incr(_incr),
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    rate(_rate),
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    msize(_msize),
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    lambda_y(_lambda_y),
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    lambda_d(_lambda_d),
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    alpha_pow(_alpha_pow),
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    alpha_Pbar(_alpha_Pbar),
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    epsH1(_epsH1)
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{
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    epsH1r = epsH1 / (1.0 + epsH1);
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    sigma2N.resize(msize);
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    PH1y.resize(msize);
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    Pbar.resize(msize);
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    EN2y.resize(msize);
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    for (int i = 0; i < msize; i++)
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    {
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        sigma2N[i] = 0.5;
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        Pbar[i] = 0.5;
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    }
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}
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void EMNR::NPS::LambdaDs()
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{
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    for (int k = 0; k < msize; k++)
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    {
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        PH1y[k] = 1.0 / (1.0 + (1.0 + epsH1) * exp (- epsH1r * lambda_y[k] / sigma2N[k]));
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        Pbar[k] = alpha_Pbar * Pbar[k] + (1.0 - alpha_Pbar) * PH1y[k];
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        if (Pbar[k] > 0.99)
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            PH1y[k] = std::min (PH1y[k], 0.99);
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        EN2y[k] = (1.0 - PH1y[k]) * lambda_y[k] + PH1y[k] * sigma2N[k];
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        sigma2N[k] = alpha_pow * sigma2N[k] + (1.0 - alpha_pow) * EN2y[k];
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    }
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    std::copy(sigma2N.begin(), sigma2N.end(), lambda_d.begin());
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}
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const std::array<double, 18> EMNR::NP::DVals = { 1.0, 2.0, 5.0, 8.0, 10.0, 15.0, 20.0, 30.0, 40.0,
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    60.0, 80.0, 120.0, 140.0, 160.0, 180.0, 220.0, 260.0, 300.0 };
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const std::array<double, 18> EMNR::NP::MVals = { 0.000, 0.260, 0.480, 0.580, 0.610, 0.668, 0.705, 0.762, 0.800,
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    0.841, 0.865, 0.890, 0.900, 0.910, 0.920, 0.930, 0.935, 0.940 };
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EMNR::NP::NP(
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    int _incr,
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    double _rate,
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    int _msize,
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    std::vector<double>& _lambda_y,
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    std::vector<double>& _lambda_d
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) :
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    incr(_incr),
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    rate(_rate),
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    msize(_msize),
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    lambda_y(_lambda_y),
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    lambda_d(_lambda_d),
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    invQeqMax(0.5),
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    av(2.12)
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{
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    double tau0 = -128.0 / 8000.0 / log(0.7);
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    alphaCsmooth = exp(-incr / rate / tau0);
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    double tau1 = -128.0 / 8000.0 / log(0.96);
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    alphaMax = exp(-incr / rate / tau1);
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    double tau2 = -128.0 / 8000.0 / log(0.7);
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    alphaCmin = exp(-incr / rate / tau2);
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    double tau3 = -128.0 / 8000.0 / log(0.3);
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    alphaMin_max_value = exp(-incr / rate / tau3);
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    snrq = -incr / (0.064 * rate);
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    double tau4 = -128.0 / 8000.0 / log(0.8);
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    betamax = exp(-incr / rate / tau4);
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    Dtime = 8.0 * 12.0 * 128.0 / 8000.0;
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    U = 8;
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    V = (int)(0.5 + (Dtime * rate / (U * incr)));
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    if (V < 4)
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        V = 4;
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    if ((U = (int)(0.5 + (Dtime * rate / (V * incr)))) < 1)
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        U = 1;
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    D = U * V;
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    interpM(&MofD, D, 18, DVals, MVals);
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    interpM(&MofV, V, 18, DVals, MVals);
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    invQbar_points[0] = 0.03;
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    invQbar_points[1] = 0.05;
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    invQbar_points[2] = 0.06;
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    invQbar_points[3] = std::numeric_limits<double>::max();
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    double db;
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    db = 10.0 * log10(8.0) / (12.0 * 128 / 8000);
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    nsmax[0] = pow(10.0, db / 10.0 * V * incr / rate);
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    db = 10.0 * log10(4.0) / (12.0 * 128 / 8000);
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    nsmax[1] = pow(10.0, db / 10.0 * V * incr / rate);
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    db = 10.0 * log10(2.0) / (12.0 * 128 / 8000);
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    nsmax[2] = pow(10.0, db / 10.0 * V * incr / rate);
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    db = 10.0 * log10(1.2) / (12.0 * 128 / 8000);
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    nsmax[3] = pow(10.0, db / 10.0 * V * incr / rate);
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    p.resize(msize);
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    alphaOptHat.resize(msize);
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    alphaHat.resize(msize);
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    sigma2N.resize(msize);
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    pbar.resize(msize);
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    p2bar.resize(msize);
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    Qeq.resize(msize);
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    bmin.resize(msize);
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    bmin_sub.resize(msize);
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    k_mod.resize(msize);
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    actmin.resize(msize);
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    actmin_sub.resize(msize);
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    lmin_flag.resize(msize);
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    pmin_u.resize(msize);
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    actminbuff.resize(U);
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    for (int i = 0; i < U; i++) {
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        actminbuff[i].resize(msize);
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    }
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    alphaC = 1.0;
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    subwc = V;
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    amb_idx = 0;
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    for (int k = 0; k < msize; k++) {
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        lambda_y[k] = 0.5;
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    }
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    std::copy(lambda_y.begin(), lambda_y.end(), p.begin());
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    std::copy(lambda_y.begin(), lambda_y.end(), sigma2N.begin());
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    std::copy(lambda_y.begin(), lambda_y.end(), pbar.begin());
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    std::copy(lambda_y.begin(), lambda_y.end(), pmin_u.begin());
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    for (int k = 0; k < msize; k++)
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    {
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        p2bar[k] = lambda_y[k] * lambda_y[k];
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        actmin[k] = std::numeric_limits<double>::max();
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        actmin_sub[k] = std::numeric_limits<double>::max();
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        for (int ku = 0; ku < U; ku++) {
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            actminbuff[ku][k] = std::numeric_limits<double>::max();
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        }
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    }
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    std::fill(lmin_flag.begin(), lmin_flag.end(), 0);
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}
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void EMNR::NP::interpM (
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    double* res,
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    double x,
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    int nvals,
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    const std::array<double, 18>& xvals,
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    const std::array<double, 18>& yvals
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)
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{
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    if (x <= xvals[0])
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    {
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        *res = yvals[0];
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    }
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    else if (x >= xvals[nvals - 1])
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    {
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        *res = yvals[nvals - 1];
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    }
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    else
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    {
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        int idx = 1;
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        double xllow;
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        double xlhigh;
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        double frac;
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        while ((x >= xvals[idx]) && (idx < nvals - 1))
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            idx++;
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        xllow = log10 (xvals[idx - 1]);
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        xlhigh = log10(xvals[idx]);
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        frac = (log10 (x) - xllow) / (xlhigh - xllow);
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        *res = yvals[idx - 1] + frac * (yvals[idx] - yvals[idx - 1]);
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    }
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}
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void EMNR::NP::LambdaD()
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{
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    int k;
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    double f0;
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    double f1;
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    double f2;
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    double f3;
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    double sum_prev_p;
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    double sum_lambda_y;
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    double alphaCtilda;
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    double sum_prev_sigma2N;
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    double alphaMin;
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    double SNR;
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    double beta;
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    double varHat;
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    double invQeq;
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    double invQbar;
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    double bc;
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    double QeqTilda;
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    double QeqTildaSub;
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    double noise_slope_max;
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    sum_prev_p = 0.0;
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    sum_lambda_y = 0.0;
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    sum_prev_sigma2N = 0.0;
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    for (k = 0; k < msize; k++)
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    {
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        sum_prev_p += p[k];
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        sum_lambda_y += lambda_y[k];
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        sum_prev_sigma2N += sigma2N[k];
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    }
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    for (k = 0; k < msize; k++)
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    {
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        f0 = p[k] / sigma2N[k] - 1.0;
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        alphaOptHat[k] = 1.0 / (1.0 + f0 * f0);
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    }
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    SNR = sum_prev_p / sum_prev_sigma2N;
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    alphaMin = std::min (alphaMin_max_value, pow (SNR, snrq));
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    for (k = 0; k < msize; k++)
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        if (alphaOptHat[k] < alphaMin) alphaOptHat[k] = alphaMin;
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    f1 = sum_prev_p / sum_lambda_y - 1.0;
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    alphaCtilda = 1.0 / (1.0 + f1 * f1);
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    alphaC = alphaCsmooth * alphaC + (1.0 - alphaCsmooth) * std::max (alphaCtilda, alphaCmin);
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    f2 = alphaMax * alphaC;
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    for (k = 0; k < msize; k++)
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        alphaHat[k] = f2 * alphaOptHat[k];
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    for (k = 0; k < msize; k++)
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        p[k] = alphaHat[k] * p[k] + (1.0 - alphaHat[k]) * lambda_y[k];
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    invQbar = 0.0;
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    for (k = 0; k < msize; k++)
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    {
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        beta = std::min (betamax, alphaHat[k] * alphaHat[k]);
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        pbar[k] = beta * pbar[k] + (1.0 - beta) * p[k];
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        p2bar[k] = beta * p2bar[k] + (1.0 - beta) * p[k] * p[k];
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        varHat = p2bar[k] - pbar[k] * pbar[k];
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        invQeq = varHat / (2.0 * sigma2N[k] * sigma2N[k]);
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        if (invQeq > invQeqMax)
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            invQeq = invQeqMax;
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        Qeq[k] = 1.0 / invQeq;
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        invQbar += invQeq;
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    }
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    invQbar /= (double) msize;
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    bc = 1.0 + av * sqrt (invQbar);
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    for (k = 0; k < msize; k++)
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    {
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        QeqTilda    = (Qeq[k] - 2.0 * MofD) / (1.0 - MofD);
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        QeqTildaSub = (Qeq[k] - 2.0 * MofV) / (1.0 - MofV);
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        bmin[k]     = 1.0 + 2.0 * (D - 1.0) / QeqTilda;
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        bmin_sub[k] = 1.0 + 2.0 * (V - 1.0) / QeqTildaSub;
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    }
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    std::fill(k_mod.begin(), k_mod.end(), 0);
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    for (k = 0; k < msize; k++)
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    {
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        f3 = p[k] * bmin[k] * bc;
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						|
        if (f3 < actmin[k])
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						|
        {
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						|
            actmin[k] = f3;
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            actmin_sub[k] = p[k] * bmin_sub[k] * bc;
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						|
            k_mod[k] = 1;
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						|
        }
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						|
    }
 | 
						|
 | 
						|
    if (subwc == V)
 | 
						|
    {
 | 
						|
        if (invQbar < invQbar_points[0])
 | 
						|
            noise_slope_max = nsmax[0];
 | 
						|
        else if (invQbar < invQbar_points[1])
 | 
						|
            noise_slope_max = nsmax[1];
 | 
						|
        else if (invQbar < invQbar_points[2])
 | 
						|
            noise_slope_max = nsmax[2];
 | 
						|
        else
 | 
						|
            noise_slope_max = nsmax[3];
 | 
						|
 | 
						|
        for (k = 0; k < msize; k++)
 | 
						|
        {
 | 
						|
            int ku;
 | 
						|
            double min;
 | 
						|
 | 
						|
            if (k_mod[k])
 | 
						|
                lmin_flag[k] = 0;
 | 
						|
 | 
						|
            actminbuff[amb_idx][k] = actmin[k];
 | 
						|
            min = std::numeric_limits<double>::max();
 | 
						|
 | 
						|
            for (ku = 0; ku < U; ku++)
 | 
						|
            {
 | 
						|
                if (actminbuff[ku][k] < min)
 | 
						|
                    min = actminbuff[ku][k];
 | 
						|
            }
 | 
						|
 | 
						|
            pmin_u[k] = min;
 | 
						|
 | 
						|
            if ((lmin_flag[k] == 1)
 | 
						|
                && (actmin_sub[k] < noise_slope_max * pmin_u[k])
 | 
						|
                && (actmin_sub[k] >                   pmin_u[k]))
 | 
						|
            {
 | 
						|
                pmin_u[k] = actmin_sub[k];
 | 
						|
                for (ku = 0; ku < U; ku++)
 | 
						|
                    actminbuff[ku][k] = actmin_sub[k];
 | 
						|
            }
 | 
						|
 | 
						|
            lmin_flag[k] = 0;
 | 
						|
            actmin[k] = std::numeric_limits<double>::max();
 | 
						|
            actmin_sub[k] = std::numeric_limits<double>::max();
 | 
						|
        }
 | 
						|
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						|
        if (++amb_idx == U)
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						|
            amb_idx = 0;
 | 
						|
 | 
						|
        subwc = 1;
 | 
						|
    }
 | 
						|
    else
 | 
						|
    {
 | 
						|
        if (subwc > 1)
 | 
						|
        {
 | 
						|
            for (k = 0; k < msize; k++)
 | 
						|
            {
 | 
						|
                if (k_mod[k])
 | 
						|
                {
 | 
						|
                    lmin_flag[k] = 1;
 | 
						|
                    sigma2N[k] = std::min (actmin_sub[k], pmin_u[k]);
 | 
						|
                    pmin_u[k] = sigma2N[k];
 | 
						|
                }
 | 
						|
            }
 | 
						|
        }
 | 
						|
 | 
						|
        ++subwc;
 | 
						|
    }
 | 
						|
 | 
						|
    std::copy(sigma2N.begin(), sigma2N.end(), lambda_d.begin());
 | 
						|
}
 | 
						|
 | 
						|
EMNR::G::G(
 | 
						|
    int _incr,
 | 
						|
    double _rate,
 | 
						|
    int _msize,
 | 
						|
    std::vector<double>& _mask,
 | 
						|
    const std::vector<float>& _y
 | 
						|
) :
 | 
						|
    incr(_incr),
 | 
						|
    rate(_rate),
 | 
						|
    msize(_msize),
 | 
						|
    mask(_mask),
 | 
						|
    y(_y)
 | 
						|
{
 | 
						|
 | 
						|
    lambda_y.resize(msize);
 | 
						|
    lambda_d.resize(msize);
 | 
						|
    prev_gamma.resize(msize);
 | 
						|
    prev_mask.resize(msize);
 | 
						|
 | 
						|
    gf1p5 = sqrt(PI) / 2.0;
 | 
						|
 | 
						|
    double tau = -128.0 / 8000.0 / log(0.98);
 | 
						|
    alpha = exp(-incr / rate / tau);
 | 
						|
 | 
						|
    eps_floor = std::numeric_limits<double>::min();
 | 
						|
    gamma_max = 1000.0;
 | 
						|
    q = 0.2;
 | 
						|
 | 
						|
    std::fill(prev_mask.begin(), prev_mask.end(), 1.0);
 | 
						|
    std::fill(prev_gamma.begin(), prev_gamma.end(), 1.0);
 | 
						|
 | 
						|
    gmax = 10000.0;
 | 
						|
 | 
						|
    std::copy(Calculus::GG.begin(), Calculus::GG.end(), GG.begin());
 | 
						|
    std::copy(Calculus::GGS.begin(), Calculus::GGS.end(), GGS.begin());
 | 
						|
 | 
						|
    // We keep this pretty useless part just in case...
 | 
						|
    if ((fileb = fopen("calculus", "rb")))
 | 
						|
    {
 | 
						|
        std::array<double, 241*241> gg;
 | 
						|
        std::size_t lgg = fread(&gg[0], sizeof(double), 241 * 241, fileb);
 | 
						|
        if (lgg != 241 * 241) {
 | 
						|
            fprintf(stderr, "GG file has an invalid size\n");
 | 
						|
        } else {
 | 
						|
            std::copy(gg.begin(), gg.end(), GG.begin());
 | 
						|
        }
 | 
						|
        std::array<double, 241*241> ggs;
 | 
						|
        std::size_t lggs =fread(&ggs[0], sizeof(double), 241 * 241, fileb);
 | 
						|
        if (lggs != 241 * 241) {
 | 
						|
            fprintf(stderr, "GGS file has an invalid size\n");
 | 
						|
        } else {
 | 
						|
            std::copy(ggs.begin(), ggs.end(), GGS.begin());
 | 
						|
        }
 | 
						|
        fclose(fileb);
 | 
						|
    }
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::G::calc_gamma0()
 | 
						|
{
 | 
						|
    double gamma;
 | 
						|
    double eps_hat;
 | 
						|
    double v;
 | 
						|
 | 
						|
    for (int k = 0; k < msize; k++)
 | 
						|
    {
 | 
						|
        gamma = std::min (lambda_y[k] / lambda_d[k], gamma_max);
 | 
						|
        eps_hat = alpha * prev_mask[k] * prev_mask[k] * prev_gamma[k]
 | 
						|
            + (1.0 - alpha) * std::max (gamma - 1.0f, eps_floor);
 | 
						|
        v = (eps_hat / (1.0 + eps_hat)) * gamma;
 | 
						|
        mask[k] = gf1p5 * sqrt (v) / gamma * exp (- 0.5 * v)
 | 
						|
            * ((1.0 + v) * bessI0 (0.5 * v) + v * bessI1 (0.5 * v));
 | 
						|
        double v2 = std::min (v, 700.0);
 | 
						|
        double eta = mask[k] * mask[k] * lambda_y[k] / lambda_d[k];
 | 
						|
        double eps = eta / (1.0 - q);
 | 
						|
        double witchHat = (1.0 - q) / q * exp (v2) / (1.0 + eps);
 | 
						|
        mask[k] *= witchHat / (1.0 + witchHat);
 | 
						|
 | 
						|
        if (mask[k] > gmax)
 | 
						|
            mask[k] = gmax;
 | 
						|
 | 
						|
        prev_gamma[k] = gamma;
 | 
						|
        prev_mask[k] = mask[k];
 | 
						|
    }
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::G::calc_gamma1()
 | 
						|
{
 | 
						|
    double gamma;
 | 
						|
    double eps_hat;
 | 
						|
    double v;
 | 
						|
    double ehr;
 | 
						|
 | 
						|
    for (int k = 0; k < msize; k++)
 | 
						|
    {
 | 
						|
        gamma = std::min (lambda_y[k] / lambda_d[k], gamma_max);
 | 
						|
        eps_hat = alpha * prev_mask[k] * prev_mask[k] * prev_gamma[k]
 | 
						|
            + (1.0 - alpha) * std::max (gamma - 1.0f, eps_floor);
 | 
						|
        ehr = eps_hat / (1.0 + eps_hat);
 | 
						|
        v = ehr * gamma;
 | 
						|
 | 
						|
        if ((mask[k] = ehr * exp (std::min (700.0, 0.5 * e1xb(v)))) > gmax)
 | 
						|
            mask[k] = gmax;
 | 
						|
 | 
						|
        prev_gamma[k] = gamma;
 | 
						|
        prev_mask[k] = mask[k];
 | 
						|
    }
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::G::calc_gamma2()
 | 
						|
{
 | 
						|
    double gamma;
 | 
						|
    double eps_hat;
 | 
						|
    double eps_p;
 | 
						|
 | 
						|
    for (int k = 0; k < msize; k++)
 | 
						|
    {
 | 
						|
        gamma = std::min(lambda_y[k] / lambda_d[k], gamma_max);
 | 
						|
        eps_hat = alpha * prev_mask[k] * prev_mask[k] * prev_gamma[k]
 | 
						|
            + (1.0 - alpha) * std::max(gamma - 1.0f, eps_floor);
 | 
						|
        eps_p = eps_hat / (1.0 - q);
 | 
						|
        mask[k] = getKey(GG, gamma, eps_hat) * getKey(GGS, gamma, eps_p);
 | 
						|
        prev_gamma[k] = gamma;
 | 
						|
        prev_mask[k] = mask[k];
 | 
						|
    }
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::G::calc_lambda_y()
 | 
						|
{
 | 
						|
    for (int k = 0; k < msize; k++)
 | 
						|
    {
 | 
						|
        double y0 = y[2 * k + 0];
 | 
						|
        double y1 = y[2 * k + 1];
 | 
						|
        lambda_y[k] = y0 * y0 + y1 * y1;
 | 
						|
    }
 | 
						|
}
 | 
						|
 | 
						|
/********************************************************************************************************
 | 
						|
*                                                                                                       *
 | 
						|
*                                           Special Functions                                           *
 | 
						|
*                                                                                                       *
 | 
						|
********************************************************************************************************/
 | 
						|
 | 
						|
// MODIFIED BESSEL FUNCTIONS OF THE 0TH AND 1ST ORDERS, Polynomial Approximations
 | 
						|
// M. Abramowitz and I. Stegun, Eds., "Handbook of Mathematical Functions."  Washington, DC:  National
 | 
						|
//      Bureau of Standards, 1964.
 | 
						|
// Shanjie Zhang and Jianming Jin, "Computation of Special Functions."  New York, NY, John Wiley and Sons,
 | 
						|
//      Inc., 1996.  [Sample code given in FORTRAN]
 | 
						|
 | 
						|
double EMNR::G::bessI0 (double x)
 | 
						|
{
 | 
						|
    double res;
 | 
						|
    double p;
 | 
						|
 | 
						|
    if (x == 0.0)
 | 
						|
    {
 | 
						|
        res = 1.0;
 | 
						|
    }
 | 
						|
    else
 | 
						|
    {
 | 
						|
        if (x < 0.0)
 | 
						|
            x = -x;
 | 
						|
 | 
						|
        if (x <= 3.75)
 | 
						|
        {
 | 
						|
            p = x / 3.75;
 | 
						|
            p = p * p;
 | 
						|
            res = ((((( 0.0045813  * p
 | 
						|
                + 0.0360768) * p
 | 
						|
                + 0.2659732) * p
 | 
						|
                + 1.2067492) * p
 | 
						|
                + 3.0899424) * p
 | 
						|
                + 3.5156229) * p
 | 
						|
                + 1.0;
 | 
						|
        }
 | 
						|
        else
 | 
						|
        {
 | 
						|
            p = 3.75 / x;
 | 
						|
            res = exp (x) / sqrt (x)
 | 
						|
                  * (((((((( + 0.00392377  * p
 | 
						|
                    - 0.01647633) * p
 | 
						|
                    + 0.02635537) * p
 | 
						|
                    - 0.02057706) * p
 | 
						|
                    + 0.00916281) * p
 | 
						|
                    - 0.00157565) * p
 | 
						|
                    + 0.00225319) * p
 | 
						|
                    + 0.01328592) * p
 | 
						|
                    + 0.39894228);
 | 
						|
        }
 | 
						|
    }
 | 
						|
    return res;
 | 
						|
}
 | 
						|
 | 
						|
double EMNR::G::bessI1 (double x)
 | 
						|
{
 | 
						|
 | 
						|
    double res;
 | 
						|
    double p;
 | 
						|
 | 
						|
    if (x == 0.0)
 | 
						|
    {
 | 
						|
        res = 0.0;
 | 
						|
    }
 | 
						|
    else
 | 
						|
    {
 | 
						|
        if (x < 0.0)
 | 
						|
            x = -x;
 | 
						|
 | 
						|
        if (x <= 3.75)
 | 
						|
        {
 | 
						|
            p = x / 3.75;
 | 
						|
            p = p * p;
 | 
						|
            res = x
 | 
						|
                  * (((((( 0.00032411  * p
 | 
						|
                    + 0.00301532) * p
 | 
						|
                    + 0.02658733) * p
 | 
						|
                    + 0.15084934) * p
 | 
						|
                    + 0.51498869) * p
 | 
						|
                    + 0.87890594) * p
 | 
						|
                    + 0.5);
 | 
						|
        }
 | 
						|
        else
 | 
						|
        {
 | 
						|
            p = 3.75 / x;
 | 
						|
            res = exp (x) / sqrt (x)
 | 
						|
                  * (((((((( - 0.00420059  * p
 | 
						|
                    + 0.01787654) * p
 | 
						|
                    - 0.02895312) * p
 | 
						|
                    + 0.02282967) * p
 | 
						|
                    - 0.01031555) * p
 | 
						|
                    + 0.00163801) * p
 | 
						|
                    - 0.00362018) * p
 | 
						|
                    - 0.03988024) * p
 | 
						|
                    + 0.39894228);
 | 
						|
        }
 | 
						|
    }
 | 
						|
 | 
						|
    return res;
 | 
						|
}
 | 
						|
 | 
						|
// EXPONENTIAL INTEGRAL, E1(x)
 | 
						|
// M. Abramowitz and I. Stegun, Eds., "Handbook of Mathematical Functions."  Washington, DC:  National
 | 
						|
//      Bureau of Standards, 1964.
 | 
						|
// Shanjie Zhang and Jianming Jin, "Computation of Special Functions."  New York, NY, John Wiley and Sons,
 | 
						|
//      Inc., 1996.  [Sample code given in FORTRAN]
 | 
						|
 | 
						|
double EMNR::G::e1xb (double x)
 | 
						|
{
 | 
						|
    double e1;
 | 
						|
    double ga;
 | 
						|
    double r;
 | 
						|
    double t;
 | 
						|
    double t0;
 | 
						|
    int k;
 | 
						|
    int m;
 | 
						|
 | 
						|
    if (x == 0.0)
 | 
						|
    {
 | 
						|
        e1 = std::numeric_limits<double>::max();
 | 
						|
    }
 | 
						|
    else if (x <= 1.0)
 | 
						|
    {
 | 
						|
        e1 = 1.0;
 | 
						|
        r = 1.0;
 | 
						|
 | 
						|
        for (k = 1; k <= 25; k++)
 | 
						|
        {
 | 
						|
            r = -r * k * x / ((k + 1.0)*(k + 1.0));
 | 
						|
            e1 = e1 + r;
 | 
						|
 | 
						|
            if ( fabs (r) <= fabs (e1) * 1.0e-15 )
 | 
						|
                break;
 | 
						|
        }
 | 
						|
 | 
						|
        ga = 0.5772156649015328;
 | 
						|
        e1 = - ga - log (x) + x * e1;
 | 
						|
    }
 | 
						|
    else
 | 
						|
    {
 | 
						|
        m = 20 + (int)(80.0 / x);
 | 
						|
        t0 = 0.0;
 | 
						|
 | 
						|
        for (k = m; k >= 1; k--)
 | 
						|
            t0 = (float)k / (1.0 + k / (x + t0));
 | 
						|
 | 
						|
        t = 1.0 / (x + t0);
 | 
						|
        e1 = exp (- x) * t;
 | 
						|
    }
 | 
						|
 | 
						|
    return e1;
 | 
						|
}
 | 
						|
 | 
						|
/********************************************************************************************************
 | 
						|
*                                                                                                       *
 | 
						|
*                                           Main Body of Code                                           *
 | 
						|
*                                                                                                       *
 | 
						|
********************************************************************************************************/
 | 
						|
 | 
						|
void EMNR::calc_window()
 | 
						|
{
 | 
						|
    int i;
 | 
						|
    double arg;
 | 
						|
    double sum;
 | 
						|
    double inv_coherent_gain;
 | 
						|
 | 
						|
    if (wintype == 0)
 | 
						|
    {
 | 
						|
        arg = 2.0 * PI / (double) fsize;
 | 
						|
        sum = 0.0;
 | 
						|
 | 
						|
        for (i = 0; i < fsize; i++)
 | 
						|
        {
 | 
						|
            window[i] = (float) (sqrt (0.54 - 0.46 * cos((float)i * arg)));
 | 
						|
            sum += window[i];
 | 
						|
        }
 | 
						|
 | 
						|
        inv_coherent_gain = (double) fsize / sum;
 | 
						|
 | 
						|
        for (i = 0; i < fsize; i++)
 | 
						|
            window[i] *= (float) inv_coherent_gain;
 | 
						|
    }
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::calc()
 | 
						|
{
 | 
						|
    // float Hvals[18] = { 0.000, 0.150, 0.480, 0.780, 0.980, 1.550, 2.000, 2.300, 2.520,
 | 
						|
    //     3.100, 3.380, 4.150, 4.350, 4.250, 3.900, 4.100, 4.700, 5.000 };
 | 
						|
    incr = fsize / ovrlp;
 | 
						|
    gain = ogain / fsize / (float)ovrlp;
 | 
						|
 | 
						|
    if (fsize > bsize)
 | 
						|
        iasize = fsize;
 | 
						|
    else
 | 
						|
        iasize = bsize + fsize - incr;
 | 
						|
 | 
						|
    iainidx = 0;
 | 
						|
    iaoutidx = 0;
 | 
						|
 | 
						|
    if (fsize > bsize)
 | 
						|
    {
 | 
						|
        if (bsize > incr)
 | 
						|
            oasize = bsize;
 | 
						|
        else
 | 
						|
            oasize = incr;
 | 
						|
 | 
						|
        oainidx = (fsize - bsize - incr) % oasize;
 | 
						|
    }
 | 
						|
    else
 | 
						|
    {
 | 
						|
        oasize = bsize;
 | 
						|
        oainidx = fsize - incr;
 | 
						|
    }
 | 
						|
 | 
						|
    init_oainidx = oainidx;
 | 
						|
    oaoutidx = 0;
 | 
						|
    msize = fsize / 2 + 1;
 | 
						|
    window.resize(fsize);
 | 
						|
    inaccum.resize(iasize);
 | 
						|
    forfftin.resize(fsize);
 | 
						|
    forfftout.resize(msize * 2);
 | 
						|
    mask.resize(msize);
 | 
						|
    std::fill(mask.begin(), mask.end(), 1.0);
 | 
						|
    revfftin.resize(msize * 2);
 | 
						|
    revfftout.resize(fsize);
 | 
						|
    save.resize(ovrlp);
 | 
						|
 | 
						|
    for (int i = 0; i < ovrlp; i++)
 | 
						|
        save[i].resize(fsize);
 | 
						|
 | 
						|
    outaccum.resize(oasize);
 | 
						|
    nsamps = 0;
 | 
						|
    saveidx = 0;
 | 
						|
    Rfor = fftwf_plan_dft_r2c_1d(
 | 
						|
        fsize,
 | 
						|
        forfftin.data(),
 | 
						|
        (fftwf_complex *)forfftout.data(),
 | 
						|
        FFTW_ESTIMATE
 | 
						|
    );
 | 
						|
    Rrev = fftwf_plan_dft_c2r_1d(
 | 
						|
        fsize,
 | 
						|
        (fftwf_complex *)revfftin.data(),
 | 
						|
        revfftout.data(),
 | 
						|
        FFTW_ESTIMATE
 | 
						|
    );
 | 
						|
 | 
						|
    calc_window();
 | 
						|
 | 
						|
    // G
 | 
						|
 | 
						|
    g = new G(
 | 
						|
        incr,
 | 
						|
        rate,
 | 
						|
        msize,
 | 
						|
        mask,
 | 
						|
        forfftout
 | 
						|
    );
 | 
						|
 | 
						|
    // NP
 | 
						|
 | 
						|
    np = new NP(
 | 
						|
        incr,
 | 
						|
        rate,
 | 
						|
        msize,
 | 
						|
        g->lambda_y,
 | 
						|
        g->lambda_d
 | 
						|
    );
 | 
						|
 | 
						|
    // NPS
 | 
						|
 | 
						|
    double tauNPS0 = -128.0 / 8000.0 / log(0.8);
 | 
						|
    double alpha_pow = exp(-incr / rate / tauNPS0);
 | 
						|
 | 
						|
    double tauNPS1 = -128.0 / 8000.0 / log(0.9);
 | 
						|
    double alpha_Pbar = exp(-incr / rate / tauNPS1);
 | 
						|
 | 
						|
    nps = new NPS(
 | 
						|
        incr,
 | 
						|
        rate,
 | 
						|
        msize,
 | 
						|
        g->lambda_y,
 | 
						|
        g->lambda_d,
 | 
						|
        alpha_pow,
 | 
						|
        alpha_Pbar,
 | 
						|
        pow(10.0, 15.0 / 10.0) // epsH1
 | 
						|
    );
 | 
						|
 | 
						|
    // AE
 | 
						|
 | 
						|
    ae = new AE(
 | 
						|
        msize,
 | 
						|
        g->lambda_y,
 | 
						|
        0.75, // zetaThresh
 | 
						|
        10.0 // psi
 | 
						|
    );
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::decalc()
 | 
						|
{
 | 
						|
    delete ae;
 | 
						|
    delete nps;
 | 
						|
    delete np;
 | 
						|
    delete g;
 | 
						|
 | 
						|
    fftwf_destroy_plan(Rrev);
 | 
						|
    fftwf_destroy_plan(Rfor);
 | 
						|
}
 | 
						|
 | 
						|
EMNR::EMNR(
 | 
						|
    int _run,
 | 
						|
    int _position,
 | 
						|
    int _size,
 | 
						|
    float* _in,
 | 
						|
    float* _out,
 | 
						|
    int _fsize,
 | 
						|
    int _ovrlp,
 | 
						|
    int _rate,
 | 
						|
    int _wintype,
 | 
						|
    double _gain,
 | 
						|
    int _gain_method,
 | 
						|
    int _npe_method,
 | 
						|
    int _ae_run
 | 
						|
)
 | 
						|
{
 | 
						|
    run = _run;
 | 
						|
    position = _position;
 | 
						|
    bsize = _size;
 | 
						|
    in = _in;
 | 
						|
    out = _out;
 | 
						|
    fsize = _fsize;
 | 
						|
    ovrlp = _ovrlp;
 | 
						|
    rate = _rate;
 | 
						|
    wintype = _wintype;
 | 
						|
    ogain = _gain;
 | 
						|
    calc();
 | 
						|
    g->gain_method = _gain_method;
 | 
						|
    g->npe_method = _npe_method;
 | 
						|
    g->ae_run = _ae_run;
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::flush()
 | 
						|
{
 | 
						|
    std::fill(inaccum.begin(), inaccum.end(), 0);
 | 
						|
 | 
						|
    for (int i = 0; i < ovrlp; i++)
 | 
						|
        std::fill(save[i].begin(), save[i].end(), 0);
 | 
						|
 | 
						|
    std::fill(outaccum.begin(), outaccum.end(), 0);
 | 
						|
    nsamps   = 0;
 | 
						|
    iainidx  = 0;
 | 
						|
    iaoutidx = 0;
 | 
						|
    oainidx  = init_oainidx;
 | 
						|
    oaoutidx = 0;
 | 
						|
    saveidx  = 0;
 | 
						|
}
 | 
						|
 | 
						|
EMNR::~EMNR()
 | 
						|
{
 | 
						|
    decalc();
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::aepf()
 | 
						|
{
 | 
						|
    int k;
 | 
						|
    int N;
 | 
						|
    int n;
 | 
						|
    double sumPre;
 | 
						|
    double sumPost;
 | 
						|
    double zeta;
 | 
						|
    double zetaT;
 | 
						|
    sumPre = 0.0;
 | 
						|
    sumPost = 0.0;
 | 
						|
 | 
						|
    for (k = 0; k < ae->msize; k++)
 | 
						|
    {
 | 
						|
        sumPre += ae->lambda_y[k];
 | 
						|
        sumPost += mask[k] * mask[k] * ae->lambda_y[k];
 | 
						|
    }
 | 
						|
 | 
						|
    zeta = sumPost / sumPre;
 | 
						|
 | 
						|
    if (zeta >= ae->zetaThresh)
 | 
						|
        zetaT = 1.0;
 | 
						|
    else
 | 
						|
        zetaT = zeta;
 | 
						|
 | 
						|
    if (zetaT == 1.0)
 | 
						|
        N = 1;
 | 
						|
    else
 | 
						|
        N = 1 + 2 * (int)(0.5 + ae->psi * (1.0 - zetaT / ae->zetaThresh));
 | 
						|
 | 
						|
    n = N / 2;
 | 
						|
 | 
						|
    for (k = n; k < (ae->msize - n); k++)
 | 
						|
    {
 | 
						|
        ae->nmask[k] = 0.0;
 | 
						|
        for (int m = k - n; m <= (k + n); m++)
 | 
						|
            ae->nmask[k] += mask[m];
 | 
						|
        ae->nmask[k] /= (float)N;
 | 
						|
    }
 | 
						|
 | 
						|
    std::copy(ae->nmask.begin(), ae->nmask.end() - 2*n, &mask[n]);
 | 
						|
}
 | 
						|
 | 
						|
double EMNR::G::getKey(const std::array<double, 241*241>& type, double gamma, double xi)
 | 
						|
{
 | 
						|
    int ngamma1;
 | 
						|
    int ngamma2;
 | 
						|
    int nxi1 = 0;
 | 
						|
    int nxi2 = 0;
 | 
						|
    double tg;
 | 
						|
    double tx;
 | 
						|
    double dg;
 | 
						|
    double dx;
 | 
						|
    const double dmin = 0.001;
 | 
						|
    const double dmax = 1000.0;
 | 
						|
 | 
						|
    if (gamma <= dmin)
 | 
						|
    {
 | 
						|
        ngamma1 = ngamma2 = 0;
 | 
						|
        tg = 0.0;
 | 
						|
    }
 | 
						|
    else if (gamma >= dmax)
 | 
						|
    {
 | 
						|
        ngamma1 = ngamma2 = 240;
 | 
						|
        tg = 60.0;
 | 
						|
    }
 | 
						|
    else
 | 
						|
    {
 | 
						|
        tg = 10.0 * log10(gamma / dmin);
 | 
						|
        ngamma1 = (int)(4.0 * tg);
 | 
						|
        ngamma2 = ngamma1 + 1;
 | 
						|
    }
 | 
						|
 | 
						|
    if (xi <= dmin)
 | 
						|
    {
 | 
						|
        nxi1 = nxi2 = 0;
 | 
						|
        tx = 0.0;
 | 
						|
    }
 | 
						|
    else if (xi >= dmax)
 | 
						|
    {
 | 
						|
        nxi1 = nxi2 = 240;
 | 
						|
        tx = 60.0;
 | 
						|
    }
 | 
						|
    else
 | 
						|
    {
 | 
						|
        tx = 10.0 * log10(xi / dmin);
 | 
						|
        nxi1 = (int)(4.0 * tx);
 | 
						|
        nxi2 = nxi1 + 1;
 | 
						|
    }
 | 
						|
 | 
						|
    dg = (tg - 0.25 * ngamma1) / 0.25;
 | 
						|
    dx = (tx - 0.25 * nxi1) / 0.25;
 | 
						|
 | 
						|
    std::array<int, 4> ix;
 | 
						|
    ix[0] = 241 * nxi1 + ngamma1;
 | 
						|
    ix[1] = 241 * nxi2 + ngamma1;
 | 
						|
    ix[2] = 241 * nxi1 + ngamma2;
 | 
						|
    ix[3] = 241 * nxi2 + ngamma2;
 | 
						|
 | 
						|
    for (auto& ixi : ix)
 | 
						|
    {
 | 
						|
        if (ixi < 0) {
 | 
						|
            ixi = 0;
 | 
						|
        } else if (ixi >= 241*241) {
 | 
						|
            ixi = 241*241 - 1;
 | 
						|
        }
 | 
						|
    }
 | 
						|
 | 
						|
    return (1.0 - dg)  * (1.0 - dx) * type[ix[0]]
 | 
						|
        +  (1.0 - dg)  *        dx  * type[ix[1]]
 | 
						|
        +         dg   * (1.0 - dx) * type[ix[2]]
 | 
						|
        +         dg   *        dx  * type[ix[3]];
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::calc_gain()
 | 
						|
{
 | 
						|
    g->calc_lambda_y();
 | 
						|
 | 
						|
    switch (g->npe_method)
 | 
						|
    {
 | 
						|
    case 0:
 | 
						|
        np->LambdaD();
 | 
						|
        break;
 | 
						|
    case 1:
 | 
						|
        nps->LambdaDs();
 | 
						|
        break;
 | 
						|
    default:
 | 
						|
        break;
 | 
						|
    }
 | 
						|
 | 
						|
    switch (g->gain_method)
 | 
						|
    {
 | 
						|
    case 0:
 | 
						|
        g->calc_gamma0();
 | 
						|
        break;
 | 
						|
    case 1:
 | 
						|
        g->calc_gamma1();
 | 
						|
        break;
 | 
						|
    case 2:
 | 
						|
        g->calc_gamma2();
 | 
						|
        break;
 | 
						|
    default:
 | 
						|
        break;
 | 
						|
    }
 | 
						|
 | 
						|
    if (g->ae_run)
 | 
						|
        aepf();
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::execute(int _pos)
 | 
						|
{
 | 
						|
    if (run && _pos == position)
 | 
						|
    {
 | 
						|
        int i;
 | 
						|
        int j;
 | 
						|
        int k;
 | 
						|
        int sbuff;
 | 
						|
        int sbegin;
 | 
						|
        double g1;
 | 
						|
 | 
						|
        for (i = 0; i < 2 * bsize; i += 2)
 | 
						|
        {
 | 
						|
            inaccum[iainidx] = in[i];
 | 
						|
            iainidx = (iainidx + 1) % iasize;
 | 
						|
        }
 | 
						|
 | 
						|
        nsamps += bsize;
 | 
						|
 | 
						|
        while (nsamps >= fsize)
 | 
						|
        {
 | 
						|
            for (i = 0, j = iaoutidx; i < fsize; i++, j = (j + 1) % iasize)
 | 
						|
                forfftin[i] = window[i] * inaccum[j];
 | 
						|
 | 
						|
            iaoutidx = (iaoutidx + incr) % iasize;
 | 
						|
            nsamps -= incr;
 | 
						|
            fftwf_execute (Rfor);
 | 
						|
            calc_gain();
 | 
						|
 | 
						|
            for (i = 0; i < msize; i++)
 | 
						|
            {
 | 
						|
                g1 = gain * mask[i];
 | 
						|
                revfftin[2 * i + 0] = (float) (g1 * forfftout[2 * i + 0]);
 | 
						|
                revfftin[2 * i + 1] = (float) (g1 * forfftout[2 * i + 1]);
 | 
						|
            }
 | 
						|
 | 
						|
            fftwf_execute (Rrev);
 | 
						|
 | 
						|
            for (i = 0; i < fsize; i++)
 | 
						|
                save[saveidx][i] = window[i] * revfftout[i];
 | 
						|
 | 
						|
            for (i = ovrlp; i > 0; i--)
 | 
						|
            {
 | 
						|
                sbuff = (saveidx + i) % ovrlp;
 | 
						|
                sbegin = incr * (ovrlp - i);
 | 
						|
 | 
						|
                for (j = sbegin, k = oainidx; j < incr + sbegin; j++, k = (k + 1) % oasize)
 | 
						|
                {
 | 
						|
                    if ( i == ovrlp)
 | 
						|
                        outaccum[k]  = save[sbuff][j];
 | 
						|
                    else
 | 
						|
                        outaccum[k] += save[sbuff][j];
 | 
						|
                }
 | 
						|
            }
 | 
						|
 | 
						|
            saveidx = (saveidx + 1) % ovrlp;
 | 
						|
            oainidx = (oainidx + incr) % oasize;
 | 
						|
        }
 | 
						|
 | 
						|
        for (i = 0; i < bsize; i++)
 | 
						|
        {
 | 
						|
            out[2 * i + 0] = outaccum[oaoutidx];
 | 
						|
            out[2 * i + 1] = 0.0;
 | 
						|
            oaoutidx = (oaoutidx + 1) % oasize;
 | 
						|
        }
 | 
						|
    }
 | 
						|
    else if (out != in)
 | 
						|
    {
 | 
						|
        std::copy(in, in + bsize * 2, out);
 | 
						|
    }
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::setBuffers(float* _in, float* _out)
 | 
						|
{
 | 
						|
    in = _in;
 | 
						|
    out = _out;
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::setSamplerate(int _rate)
 | 
						|
{
 | 
						|
    decalc();
 | 
						|
    rate = _rate;
 | 
						|
    calc();
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::setSize(int _size)
 | 
						|
{
 | 
						|
    decalc();
 | 
						|
    bsize = _size;
 | 
						|
    calc();
 | 
						|
}
 | 
						|
 | 
						|
/********************************************************************************************************
 | 
						|
*                                                                                                       *
 | 
						|
*                                           RXA Properties                                              *
 | 
						|
*                                                                                                       *
 | 
						|
********************************************************************************************************/
 | 
						|
 | 
						|
void EMNR::setGainMethod(int _method)
 | 
						|
{
 | 
						|
    g->gain_method = _method;
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::setNpeMethod(int _method)
 | 
						|
{
 | 
						|
    g->npe_method = _method;
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::setAeRun(int _run)
 | 
						|
{
 | 
						|
    g->ae_run = _run;
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::setAeZetaThresh(double _zetathresh)
 | 
						|
{
 | 
						|
    ae->zetaThresh = _zetathresh;
 | 
						|
}
 | 
						|
 | 
						|
void EMNR::setAePsi(double _psi)
 | 
						|
{
 | 
						|
    ae->psi = _psi;
 | 
						|
}
 | 
						|
 | 
						|
} // namespace WDSP
 |