alexbrandmeyer@609
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1 //
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alexbrandmeyer@609
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2 // ear.cc
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alexbrandmeyer@609
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3 // CARFAC Open Source C++ Library
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4 //
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5 // Created by Alex Brandmeyer on 5/10/13.
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6 //
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7 // This C++ file is part of an implementation of Lyon's cochlear model:
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8 // "Cascade of Asymmetric Resonators with Fast-Acting Compression"
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9 // to supplement Lyon's upcoming book "Human and Machine Hearing"
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10 //
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11 // Licensed under the Apache License, Version 2.0 (the "License");
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12 // you may not use this file except in compliance with the License.
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13 // You may obtain a copy of the License at
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14 //
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15 // http://www.apache.org/licenses/LICENSE-2.0
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16 //
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17 // Unless required by applicable law or agreed to in writing, software
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18 // distributed under the License is distributed on an "AS IS" BASIS,
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19 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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20 // See the License for the specific language governing permissions and
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21 // limitations under the License.
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22
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ronw@628
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23 #include <assert.h>
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24 #include "ear.h"
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25
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26 // The 'InitEar' function takes a set of model parameters and initializes the
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27 // design coefficients and model state variables needed for running the model
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28 // on a single audio channel.
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29 void Ear::InitEar(const int n_ch, const FPType fs, const CARCoeffs& car_coeffs,
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30 const IHCCoeffs& ihc_coeffs,
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31 const std::vector<AGCCoeffs>& agc_coeffs) {
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32 // The first section of code determines the number of channels that will be
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33 // used in the model on the basis of the sample rate and the CAR parameters
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34 // that have been passed to this function.
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35 n_ch_ = n_ch;
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36 car_coeffs_ = car_coeffs;
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37 ihc_coeffs_ = ihc_coeffs;
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38 agc_coeffs_ = agc_coeffs;
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alexbrandmeyer@610
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39 // Once the coefficients have been determined, we can initialize the state
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40 // variables that will be used during runtime.
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41 InitCARState();
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42 InitIHCState();
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43 InitAGCState();
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44 }
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45
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46 void Ear::InitCARState() {
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47 car_state_.z1_memory.setZero(n_ch_);
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48 car_state_.z2_memory.setZero(n_ch_);
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49 car_state_.za_memory.setZero(n_ch_);
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50 car_state_.zb_memory = car_coeffs_.zr_coeffs;
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51 car_state_.dzb_memory.setZero(n_ch_);
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52 car_state_.zy_memory.setZero(n_ch_);
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53 car_state_.g_memory = car_coeffs_.g0_coeffs;
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54 car_state_.dg_memory.setZero(n_ch_);
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55 }
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56
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57 void Ear::InitIHCState() {
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58 ihc_state_.ihc_accum = FloatArray::Zero(n_ch_);
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59 if (! ihc_coeffs_.just_half_wave_rectify) {
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60 ihc_state_.ac_coupler.setZero(n_ch_);
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61 ihc_state_.lpf1_state.setConstant(n_ch_, ihc_coeffs_.rest_output);
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62 ihc_state_.lpf2_state.setConstant(n_ch_, ihc_coeffs_.rest_output);
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63 if (ihc_coeffs_.one_capacitor) {
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64 ihc_state_.cap1_voltage.setConstant(n_ch_, ihc_coeffs_.rest_cap1);
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65 } else {
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66 ihc_state_.cap1_voltage.setConstant(n_ch_, ihc_coeffs_.rest_cap1);
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67 ihc_state_.cap2_voltage.setConstant(n_ch_, ihc_coeffs_.rest_cap2);
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68 }
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69 }
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70 }
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71
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72 void Ear::InitAGCState() {
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73 int n_agc_stages = agc_coeffs_.size();
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74 agc_state_.resize(n_agc_stages);
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75 for (auto& stage_state : agc_state_) {
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76 stage_state.decim_phase = 0;
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77 stage_state.agc_memory.setZero(n_ch_);
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78 stage_state.input_accum.setZero(n_ch_);
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79 }
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80 }
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81
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82 void Ear::CARStep(const FPType input) {
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83 // This interpolates g.
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84 car_state_.g_memory = car_state_.g_memory + car_state_.dg_memory;
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85 // This calculates the AGC interpolation state.
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86 car_state_.zb_memory = car_state_.zb_memory + car_state_.dzb_memory;
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alexbrandmeyer@610
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87 // This updates the nonlinear function of 'velocity' along with zA, which is
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88 // a delay of z2.
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89 FloatArray nonlinear_fun(n_ch_);
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90 FloatArray velocities = car_state_.z2_memory - car_state_.za_memory;
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91 OHCNonlinearFunction(velocities, &nonlinear_fun);
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92 // Here, zb_memory_ * nonlinear_fun is "undamping" delta r.
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93 FloatArray r = car_coeffs_.r1_coeffs + (car_state_.zb_memory *
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94 nonlinear_fun);
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95 car_state_.za_memory = car_state_.z2_memory;
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alexbrandmeyer@610
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96 // Here we reduce the CAR state by r and rotate with the fixed cos/sin coeffs.
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97 FloatArray z1 = r * ((car_coeffs_.a0_coeffs * car_state_.z1_memory) -
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98 (car_coeffs_.c0_coeffs * car_state_.z2_memory));
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99 car_state_.z2_memory = r *
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100 ((car_coeffs_.c0_coeffs * car_state_.z1_memory) +
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101 (car_coeffs_.a0_coeffs * car_state_.z2_memory));
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102 car_state_.zy_memory = car_coeffs_.h_coeffs * car_state_.z2_memory;
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103 // This section ripples the input-output path, to avoid delay...
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104 // It's the only part that doesn't get computed "in parallel":
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105 FPType in_out = input;
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106 for (int ch = 0; ch < n_ch_; ch++) {
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107 z1(ch) = z1(ch) + in_out;
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108 // This performs the ripple, and saves the final channel outputs in zy.
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109 in_out = car_state_.g_memory(ch) * (in_out + car_state_.zy_memory(ch));
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110 car_state_.zy_memory(ch) = in_out;
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111 }
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112 car_state_.z1_memory = z1;
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113 }
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114
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115 // We start with a quadratic nonlinear function, and limit it via a
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116 // rational function. This makes the result go to zero at high
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117 // absolute velocities, so it will do nothing there.
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118 void Ear::OHCNonlinearFunction(const FloatArray& velocities,
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119 FloatArray* nonlinear_fun) {
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120 *nonlinear_fun = (1 + ((velocities * car_coeffs_.velocity_scale) +
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121 car_coeffs_.v_offset).square()).inverse();
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122 }
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123
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124 // This step is a one sample-time update of the inner-hair-cell (IHC) model,
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125 // including the detection nonlinearity and either one or two capacitor state
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126 // variables.
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127 void Ear::IHCStep(const FloatArray& car_out) {
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128 FloatArray ac_diff = car_out - ihc_state_.ac_coupler;
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129 ihc_state_.ac_coupler = ihc_state_.ac_coupler +
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130 (ihc_coeffs_.ac_coeff * ac_diff);
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131 if (ihc_coeffs_.just_half_wave_rectify) {
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132 FloatArray output(n_ch_);
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133 for (int ch = 0; ch < n_ch_; ++ch) {
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134 FPType a = (ac_diff(ch) > 0.0) ? ac_diff(ch) : 0.0;
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135 output(ch) = (a < 2) ? a : 2;
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136 }
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137 ihc_state_.ihc_out = output;
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138 } else {
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139 FloatArray conductance = CARFACDetect(ac_diff);
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140 if (ihc_coeffs_.one_capacitor) {
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141 ihc_state_.ihc_out = conductance * ihc_state_.cap1_voltage;
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142 ihc_state_.cap1_voltage = ihc_state_.cap1_voltage -
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143 (ihc_state_.ihc_out * ihc_coeffs_.out1_rate) +
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144 ((1 - ihc_state_.cap1_voltage) * ihc_coeffs_.in1_rate);
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145 } else {
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146 ihc_state_.ihc_out = conductance * ihc_state_.cap2_voltage;
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147 ihc_state_.cap1_voltage = ihc_state_.cap1_voltage -
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148 ((ihc_state_.cap1_voltage - ihc_state_.cap2_voltage)
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149 * ihc_coeffs_.out1_rate) + ((1 - ihc_state_.cap1_voltage) *
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150 ihc_coeffs_.in1_rate);
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151 ihc_state_.cap2_voltage = ihc_state_.cap2_voltage -
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152 (ihc_state_.ihc_out * ihc_coeffs_.out2_rate) +
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153 ((ihc_state_.cap1_voltage - ihc_state_.cap2_voltage)
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154 * ihc_coeffs_.in2_rate);
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155 }
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156 // Here we smooth the output twice using a LPF.
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157 ihc_state_.ihc_out *= ihc_coeffs_.output_gain;
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158 ihc_state_.lpf1_state += ihc_coeffs_.lpf_coeff *
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159 (ihc_state_.ihc_out - ihc_state_.lpf1_state);
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160 ihc_state_.lpf2_state += ihc_coeffs_.lpf_coeff *
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161 (ihc_state_.lpf1_state - ihc_state_.lpf2_state);
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162 ihc_state_.ihc_out = ihc_state_.lpf2_state - ihc_coeffs_.rest_output;
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163 }
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164 ihc_state_.ihc_accum += ihc_state_.ihc_out;
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165 }
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166
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167 bool Ear::AGCStep(const FloatArray& ihc_out) {
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168 int stage = 0;
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169 int n_stages = agc_coeffs_[0].n_agc_stages;
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170 FPType detect_scale = agc_coeffs_[n_stages - 1].detect_scale;
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171 bool updated = AGCRecurse(stage, detect_scale * ihc_out);
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172 return updated;
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173 }
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174
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175 bool Ear::AGCRecurse(const int stage, FloatArray agc_in) {
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176 bool updated = true;
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177 const auto& agc_coeffs = agc_coeffs_[stage];
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178 auto& agc_state = agc_state_[stage];
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179 // This is the decim factor for this stage, relative to input or prev. stage:
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180 int decim = agc_coeffs.decimation;
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181 // This is the decim phase of this stage (do work on phase 0 only):
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182 int decim_phase = agc_state.decim_phase + 1;
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183 decim_phase = decim_phase % decim;
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184 agc_state.decim_phase = decim_phase;
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185 // Here we accumulate input for this stage from the previous stage:
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186 agc_state.input_accum += agc_in;
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187 // We don't do anything if it's not the right decim_phase.
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188 if (decim_phase == 0) {
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189 // Now we do lots of work, at the decimated rate.
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190 // These are the decimated inputs for this stage, which will be further
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191 // decimated at the next stage.
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192 agc_in = agc_state.input_accum / decim;
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193 // This resets the accumulator.
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194 agc_state.input_accum = FloatArray::Zero(n_ch_);
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195 if (stage < (agc_coeffs_.size() - 1)) {
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196 // Now we recurse to evaluate the next stage(s).
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197 updated = AGCRecurse(stage + 1, agc_in);
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198 // Afterwards we add its output to this stage input, whether it updated or
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199 // not.
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200 agc_in += agc_coeffs.agc_stage_gain *
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201 agc_state_[stage + 1].agc_memory;
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202 }
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203 // This performs a first-order recursive smoothing filter update, in time.
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204 agc_state.agc_memory += agc_coeffs.agc_epsilon *
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205 (agc_in - agc_state.agc_memory);
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206 AGCSpatialSmooth(agc_coeffs_[stage], &agc_state.agc_memory);
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207 updated = true;
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208 } else {
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209 updated = false;
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210 }
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211 return updated;
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212 }
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213
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214 void Ear::AGCSpatialSmooth(const AGCCoeffs& agc_coeffs,
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215 FloatArray* stage_state) {
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216 int n_iterations = agc_coeffs.agc_spatial_iterations;
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217 bool use_fir;
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218 use_fir = (n_iterations < 4) ? true : false;
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219 if (use_fir) {
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220 FPType fir_coeffs_left = agc_coeffs.agc_spatial_fir_left;
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221 FPType fir_coeffs_mid = agc_coeffs.agc_spatial_fir_mid;
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222 FPType fir_coeffs_right = agc_coeffs.agc_spatial_fir_right;
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223 FloatArray ss_tap1(n_ch_);
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224 FloatArray ss_tap2(n_ch_);
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225 FloatArray ss_tap3(n_ch_);
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226 FloatArray ss_tap4(n_ch_);
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227 int n_taps = agc_coeffs.agc_spatial_n_taps;
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228 // This initializes the first two taps of stage state, which are used for
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229 // both possible cases.
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230 ss_tap1(0) = (*stage_state)(0);
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231 ss_tap1.block(1, 0, n_ch_ - 1, 1) = stage_state->block(0, 0, n_ch_ - 1, 1);
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232 ss_tap2(n_ch_ - 1) = (*stage_state)(n_ch_ - 1);
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233 ss_tap2.block(0, 0, n_ch_ - 1, 1) = stage_state->block(1, 0, n_ch_ - 1, 1);
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234 switch (n_taps) {
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235 case 3:
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236 *stage_state = (fir_coeffs_left * ss_tap1) +
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237 (fir_coeffs_mid * *stage_state) + (fir_coeffs_right * ss_tap2);
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238 break;
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239 case 5:
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240 // Now we initialize last two taps of stage state, which are only used
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241 // for the 5-tap case.
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242 ss_tap3(0) = (*stage_state)(0);
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243 ss_tap3(1) = (*stage_state)(1);
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244 ss_tap3.block(2, 0, n_ch_ - 2, 1) =
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245 stage_state->block(0, 0, n_ch_ - 2, 1);
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246 ss_tap4(n_ch_ - 2) = (*stage_state)(n_ch_ - 1);
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247 ss_tap4(n_ch_ - 1) = (*stage_state)(n_ch_ - 2);
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248 ss_tap4.block(0, 0, n_ch_ - 2, 1) =
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249 stage_state->block(2, 0, n_ch_ - 2, 1);
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250 *stage_state = (fir_coeffs_left * (ss_tap3 + ss_tap1)) +
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251 (fir_coeffs_mid * *stage_state) +
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252 (fir_coeffs_right * (ss_tap2 + ss_tap4));
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253 break;
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254 default:
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255 assert(true && "Bad n_taps in AGCSpatialSmooth; should be 3 or 5.");
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256 break;
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257 }
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258 } else {
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259 AGCSmoothDoubleExponential(agc_coeffs.agc_pole_z1, agc_coeffs.agc_pole_z2,
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260 stage_state);
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261 }
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262 }
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263
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264 void Ear::AGCSmoothDoubleExponential(const FPType pole_z1, const FPType pole_z2,
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265 FloatArray* stage_state) {
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266 int32_t n_pts = stage_state->size();
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267 FPType input;
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alexbrandmeyer@611
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268 FPType state = 0.0;
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alexbrandmeyer@626
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269 // TODO (alexbrandmeyer): I'm assuming one dimensional input for now, but this
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alexbrandmeyer@610
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270 // should be verified with Dick for the final version
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alexbrandmeyer@637
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271 for (int i = n_pts - 11; i < n_pts; ++i) {
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alexbrandmeyer@637
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272 input = (*stage_state)(i);
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alexbrandmeyer@610
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273 state = state + (1 - pole_z1) * (input - state);
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alexbrandmeyer@610
|
274 }
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alexbrandmeyer@637
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275 for (int i = n_pts - 1; i > -1; --i) {
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alexbrandmeyer@637
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276 input = (*stage_state)(i);
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alexbrandmeyer@610
|
277 state = state + (1 - pole_z2) * (input - state);
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alexbrandmeyer@610
|
278 }
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alexbrandmeyer@637
|
279 for (int i = 0; i < n_pts; ++i) {
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alexbrandmeyer@637
|
280 input = (*stage_state)(i);
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alexbrandmeyer@610
|
281 state = state + (1 - pole_z1) * (input - state);
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alexbrandmeyer@637
|
282 (*stage_state)(i) = state;
|
alexbrandmeyer@610
|
283 }
|
alexbrandmeyer@609
|
284 }
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alexbrandmeyer@610
|
285
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alexbrandmeyer@626
|
286 FloatArray Ear::StageGValue(const FloatArray& undamping) {
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alexbrandmeyer@640
|
287 FloatArray r = car_coeffs_.r1_coeffs + car_coeffs_.zr_coeffs * undamping;
|
alexbrandmeyer@640
|
288 return (1 - 2 * r * car_coeffs_.a0_coeffs + (r * r)) /
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alexbrandmeyer@640
|
289 (1 - 2 * r * car_coeffs_.a0_coeffs + car_coeffs_.h_coeffs * r *
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alexbrandmeyer@640
|
290 car_coeffs_.c0_coeffs + (r * r));
|
alexbrandmeyer@637
|
291 } |