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1 // Copyright 2009-2010, Thomas Walters
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2 //
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3 // AIM-C: A C++ implementation of the Auditory Image Model
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4 // http://www.acousticscale.org/AIMC
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5 //
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6 // This program is free software: you can redistribute it and/or modify
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7 // it under the terms of the GNU General Public License as published by
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8 // the Free Software Foundation, either version 3 of the License, or
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9 // (at your option) any later version.
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10 //
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11 // This program is distributed in the hope that it will be useful,
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12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
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13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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14 // GNU General Public License for more details.
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15 //
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16 // You should have received a copy of the GNU General Public License
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17 // along with this program. If not, see <http://www.gnu.org/licenses/>.
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18
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19 /*! \file
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20 * \brief Slaney's gammatone filterbank
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21 *
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22 * \author Thomas Walters <tom@acousticscale.org>
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23 * \date created 2009/11/13
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24 * \version \$Id$
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25 */
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26
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27 #include <cmath>
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28 #include <complex>
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29 #include "Support/ERBTools.h"
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30
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31 #include "Modules/BMM/ModuleGammatone.h"
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32
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33 namespace aimc {
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34 using std::vector;
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35 using std::complex;
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36 ModuleGammatone::ModuleGammatone(Parameters *params) : Module(params) {
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37 module_identifier_ = "gt";
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38 module_type_ = "bmm";
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39 module_description_ = "Gammatone filterbank (Slaney's IIR gammatone)";
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40 module_version_ = "$Id$";
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41
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42 num_channels_ = parameters_->DefaultInt("gtfb.channel_count", 200);
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43 min_frequency_ = parameters_->DefaultFloat("gtfb.min_frequency", 86.0f);
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44 max_frequency_ = parameters_->DefaultFloat("gtfb.max_frequency", 16000.0f);
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45 }
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46
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47 ModuleGammatone::~ModuleGammatone() {
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48 }
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49
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50 void ModuleGammatone::ResetInternal() {
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51 state_1_.resize(num_channels_);
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52 state_2_.resize(num_channels_);
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53 state_3_.resize(num_channels_);
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54 state_4_.resize(num_channels_);
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55 for (int i = 0; i < num_channels_; ++i) {
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56 state_1_[i].resize(3, 0.0f);
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57 state_2_[i].resize(3, 0.0f);
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58 state_3_[i].resize(3, 0.0f);
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59 state_4_[i].resize(3, 0.0f);
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60 }
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61 }
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62
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63 bool ModuleGammatone::InitializeInternal(const SignalBank& input) {
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64 // Calculate number of channels, and centre frequencies
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65 float erb_max = ERBTools::Freq2ERB(max_frequency_);
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66 float erb_min = ERBTools::Freq2ERB(min_frequency_);
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67 float delta_erb = (erb_max - erb_min) / (num_channels_ - 1);
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68
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69 centre_frequencies_.resize(num_channels_);
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70 float erb_current = erb_min;
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71
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72 output_.Initialize(num_channels_,
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73 input.buffer_length(),
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74 input.sample_rate());
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75
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76 for (int i = 0; i < num_channels_; ++i) {
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77 centre_frequencies_[i] = ERBTools::ERB2Freq(erb_current);
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78 erb_current += delta_erb;
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79 output_.set_centre_frequency(i, centre_frequencies_[i]);
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80 }
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81
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82 a_.resize(num_channels_);
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83 b1_.resize(num_channels_);
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84 b2_.resize(num_channels_);
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85 b3_.resize(num_channels_);
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86 b4_.resize(num_channels_);
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87 state_1_.resize(num_channels_);
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88 state_2_.resize(num_channels_);
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89 state_3_.resize(num_channels_);
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90 state_4_.resize(num_channels_);
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91
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92 for (int ch = 0; ch < num_channels_; ++ch) {
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93 double cf = centre_frequencies_[ch];
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94 double erb = ERBTools::Freq2ERBw(cf);
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95 // LOG_INFO("%e", erb);
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96
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97 // Sample interval
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98 double dt = 1.0f / input.sample_rate();
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99
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100 // Bandwidth parameter
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101 double b = 1.019f * 2.0f * M_PI * erb;
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102
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103 // The following expressions are derived in Apple TR #35, "An
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104 // Efficient Implementation of the Patterson-Holdsworth Cochlear
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105 // Filter Bank" and used in Malcolm Slaney's auditory toolbox, where he
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106 // defines this alternaltive four stage cascade of second-order filters.
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107
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108 // Calculate the gain:
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109 double cpt = cf * M_PI * dt;
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110 complex<double> exponent(0.0, 2.0 * cpt);
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111 complex<double> ec = exp(2.0 * exponent);
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112 complex<double> two_cf_pi_t(2.0 * cpt, 0.0);
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113 complex<double> two_pow(pow(2.0, (3.0 / 2.0)), 0.0);
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114 complex<double> p1 = -2.0 * ec * dt;
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115 complex<double> p2 = 2.0 * exp(-(b * dt) + exponent) * dt;
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116 complex<double> b_dt(b * dt, 0.0);
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117
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118 double gain = abs(
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119 (p1 + p2 * (cos(two_cf_pi_t) - sqrt(3.0 - two_pow) * sin(two_cf_pi_t)))
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120 * (p1 + p2 * (cos(two_cf_pi_t) + sqrt(3.0 - two_pow) * sin(two_cf_pi_t)))
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121 * (p1 + p2 * (cos(two_cf_pi_t) - sqrt(3.0 + two_pow) * sin(two_cf_pi_t)))
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122 * (p1 + p2 * (cos(two_cf_pi_t) + sqrt(3.0 + two_pow) * sin(two_cf_pi_t)))
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123 / pow((-2.0 / exp(2.0 * b_dt) - 2.0 * ec + 2.0 * (1.0 + ec)
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124 / exp(b_dt)), 4));
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125 // LOG_INFO("%e", gain);
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126
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127 // The filter coefficients themselves:
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128 const int coeff_count = 3;
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129 a_[ch].resize(coeff_count, 0.0f);
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130 b1_[ch].resize(coeff_count, 0.0f);
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131 b2_[ch].resize(coeff_count, 0.0f);
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132 b3_[ch].resize(coeff_count, 0.0f);
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133 b4_[ch].resize(coeff_count, 0.0f);
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134 state_1_[ch].resize(coeff_count, 0.0f);
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135 state_2_[ch].resize(coeff_count, 0.0f);
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136 state_3_[ch].resize(coeff_count, 0.0f);
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137 state_4_[ch].resize(coeff_count, 0.0f);
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138
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139 double B0 = dt;
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140 double B2 = 0.0f;
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141
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142 double B11 = -(2.0f * dt * cos(2.0f * cf * M_PI * dt) / exp(b * dt)
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143 + 2.0f * sqrt(3 + pow(2.0f, 1.5f)) * dt
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144 * sin(2.0f * cf * M_PI * dt) / exp(b * dt)) / 2.0f;
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145 double B12 = -(2.0f * dt * cos(2.0f * cf * M_PI * dt) / exp(b * dt)
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146 - 2.0f * sqrt(3 + pow(2.0f, 1.5f)) * dt
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147 * sin(2.0f * cf * M_PI * dt) / exp(b * dt)) / 2.0f;
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148 double B13 = -(2.0f * dt * cos(2.0f * cf * M_PI * dt) / exp(b * dt)
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149 + 2.0f * sqrt(3 - pow(2.0f, 1.5f)) * dt
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150 * sin(2.0f * cf * M_PI * dt) / exp(b * dt)) / 2.0f;
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151 double B14 = -(2.0f * dt * cos(2.0f * cf * M_PI * dt) / exp(b * dt)
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152 - 2.0f * sqrt(3 - pow(2.0f, 1.5f)) * dt
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153 * sin(2.0f * cf * M_PI * dt) / exp(b * dt)) / 2.0f;
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154
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155 a_[ch][0] = 1.0f;
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156 a_[ch][1] = -2.0f * cos(2.0f * cf * M_PI * dt) / exp(b * dt);
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157 a_[ch][2] = exp(-2.0f * b * dt);
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158 b1_[ch][0] = B0 / gain;
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159 b1_[ch][1] = B11 / gain;
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160 b1_[ch][2] = B2 / gain;
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161 b2_[ch][0] = B0;
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162 b2_[ch][1] = B12;
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163 b2_[ch][2] = B2;
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164 b3_[ch][0] = B0;
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165 b3_[ch][1] = B13;
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166 b3_[ch][2] = B2;
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167 b4_[ch][0] = B0;
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168 b4_[ch][1] = B14;
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169 b4_[ch][2] = B2;
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170 }
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171 return true;
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172 }
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173
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174 void ModuleGammatone::Process(const SignalBank &input) {
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175 output_.set_start_time(input.start_time());
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176 int audio_channel = 0;
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177
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178 vector<vector<double> >::iterator b1 = b1_.begin();
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179 vector<vector<double> >::iterator b2 = b2_.begin();
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180 vector<vector<double> >::iterator b3 = b3_.begin();
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181 vector<vector<double> >::iterator b4 = b4_.begin();
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182 vector<vector<double> >::iterator a = a_.begin();
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183 vector<vector<double> >::iterator s1 = state_1_.begin();
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184 vector<vector<double> >::iterator s2 = state_2_.begin();
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185 vector<vector<double> >::iterator s3 = state_3_.begin();
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186 vector<vector<double> >::iterator s4 = state_4_.begin();
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187
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188 // Temporary storage between filter stages
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189 vector<double> out(input.buffer_length());
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190 for (int ch = 0; ch < num_channels_;
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191 ++ch, ++b1, ++b2, ++b3, ++b4, ++a, ++s1, ++s2, ++s3, ++s4) {
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192 for (int i = 0; i < input.buffer_length(); ++i) {
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193 // Direct-form-II IIR filter
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194 double in = input.sample(audio_channel, i);
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195 out[i] = (*b1)[0] * in + (*s1)[0];
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196 for (unsigned int stage = 1; stage < s1->size(); ++stage)
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197 (*s1)[stage - 1] = (*b1)[stage] * in
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198 - (*a)[stage] * out[i] + (*s1)[stage];
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199 }
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200 for (int i = 0; i < input.buffer_length(); ++i) {
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201 // Direct-form-II IIR filter
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202 double in = out[i];
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203 out[i] = (*b2)[0] * in + (*s2)[0];
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204 for (unsigned int stage = 1; stage < s2->size(); ++stage)
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205 (*s2)[stage - 1] = (*b2)[stage] * in
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206 - (*a)[stage] * out[i] + (*s2)[stage];
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207 }
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208 for (int i = 0; i < input.buffer_length(); ++i) {
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209 // Direct-form-II IIR filter
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210 double in = out[i];
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211 out[i] = (*b3)[0] * in + (*s3)[0];
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212 for (unsigned int stage = 1; stage < s3->size(); ++stage)
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213 (*s3)[stage - 1] = (*b3)[stage] * in
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214 - (*a)[stage] * out[i] + (*s3)[stage];
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215 }
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216 for (int i = 0; i < input.buffer_length(); ++i) {
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217 // Direct-form-II IIR filter
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218 double in = out[i];
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219 out[i] = (*b4)[0] * in + (*s4)[0];
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220 for (unsigned int stage = 1; stage < s4->size(); ++stage)
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221 (*s4)[stage - 1] = (*b4)[stage] * in
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222 - (*a)[stage] * out[i] + (*s4)[stage];
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223 output_.set_sample(ch, i, out[i]);
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224 }
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225 }
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226 PushOutput();
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227 }
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228
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229 } // namespace aimc
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