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<h1>src/libsphinxbase/fe/fe_warp_piecewise_linear.c</h1> </div>
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<div class="contents">
<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/* -*- c-basic-offset: 4; indent-tabs-mode: nil -*- */</span>
<a name="l00002"></a>00002 <span class="comment">/* ====================================================================</span>
<a name="l00003"></a>00003 <span class="comment"> * Copyright (c) 2006 Carnegie Mellon University. All rights </span>
<a name="l00004"></a>00004 <span class="comment"> * reserved.</span>
<a name="l00005"></a>00005 <span class="comment"> *</span>
<a name="l00006"></a>00006 <span class="comment"> * Redistribution and use in source and binary forms, with or without</span>
<a name="l00007"></a>00007 <span class="comment"> * modification, are permitted provided that the following conditions</span>
<a name="l00008"></a>00008 <span class="comment"> * are met:</span>
<a name="l00009"></a>00009 <span class="comment"> *</span>
<a name="l00010"></a>00010 <span class="comment"> * 1. Redistributions of source code must retain the above copyright</span>
<a name="l00011"></a>00011 <span class="comment"> * notice, this list of conditions and the following disclaimer. </span>
<a name="l00012"></a>00012 <span class="comment"> *</span>
<a name="l00013"></a>00013 <span class="comment"> * 2. Redistributions in binary form must reproduce the above copyright</span>
<a name="l00014"></a>00014 <span class="comment"> * notice, this list of conditions and the following disclaimer in</span>
<a name="l00015"></a>00015 <span class="comment"> * the documentation and/or other materials provided with the</span>
<a name="l00016"></a>00016 <span class="comment"> * distribution.</span>
<a name="l00017"></a>00017 <span class="comment"> *</span>
<a name="l00018"></a>00018 <span class="comment"> * This work was supported in part by funding from the Defense Advanced </span>
<a name="l00019"></a>00019 <span class="comment"> * Research Projects Agency and the National Science Foundation of the </span>
<a name="l00020"></a>00020 <span class="comment"> * United States of America, and the CMU Sphinx Speech Consortium.</span>
<a name="l00021"></a>00021 <span class="comment"> *</span>
<a name="l00022"></a>00022 <span class="comment"> * THIS SOFTWARE IS PROVIDED BY CARNEGIE MELLON UNIVERSITY ``AS IS'' AND </span>
<a name="l00023"></a>00023 <span class="comment"> * ANY EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, </span>
<a name="l00024"></a>00024 <span class="comment"> * THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR</span>
<a name="l00025"></a>00025 <span class="comment"> * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL CARNEGIE MELLON UNIVERSITY</span>
<a name="l00026"></a>00026 <span class="comment"> * NOR ITS EMPLOYEES BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,</span>
<a name="l00027"></a>00027 <span class="comment"> * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT </span>
<a name="l00028"></a>00028 <span class="comment"> * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, </span>
<a name="l00029"></a>00029 <span class="comment"> * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY </span>
<a name="l00030"></a>00030 <span class="comment"> * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT </span>
<a name="l00031"></a>00031 <span class="comment"> * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE </span>
<a name="l00032"></a>00032 <span class="comment"> * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span>
<a name="l00033"></a>00033 <span class="comment"> *</span>
<a name="l00034"></a>00034 <span class="comment"> * ====================================================================</span>
<a name="l00035"></a>00035 <span class="comment"> *</span>
<a name="l00036"></a>00036 <span class="comment"> */</span>
<a name="l00037"></a>00037 <span class="comment">/*********************************************************************</span>
<a name="l00038"></a>00038 <span class="comment"> *</span>
<a name="l00039"></a>00039 <span class="comment"> * File: fe_warp_piecewise_linear.c</span>
<a name="l00040"></a>00040 <span class="comment"> * </span>
<a name="l00041"></a>00041 <span class="comment"> * Description: </span>
<a name="l00042"></a>00042 <span class="comment"> *</span>
<a name="l00043"></a>00043 <span class="comment"> * Warp the frequency axis according to an piecewise linear</span>
<a name="l00044"></a>00044 <span class="comment"> * function. The function is linear up to a frequency F, where</span>
<a name="l00045"></a>00045 <span class="comment"> * the slope changes so that the Nyquist frequency in the warped</span>
<a name="l00046"></a>00046 <span class="comment"> * axis maps to the Nyquist frequency in the unwarped.</span>
<a name="l00047"></a>00047 <span class="comment"> *</span>
<a name="l00048"></a>00048 <span class="comment"> * w' = a * w, w < F</span>
<a name="l00049"></a>00049 <span class="comment"> * w' = a' * w + b, W > F</span>
<a name="l00050"></a>00050 <span class="comment"> * w'(0) = 0</span>
<a name="l00051"></a>00051 <span class="comment"> * w'(F) = F</span>
<a name="l00052"></a>00052 <span class="comment"> * w'(Nyq) = Nyq</span>
<a name="l00053"></a>00053 <span class="comment"> * </span>
<a name="l00054"></a>00054 <span class="comment"> *********************************************************************/</span>
<a name="l00055"></a>00055
<a name="l00056"></a>00056 <span class="comment">/* static char rcsid[] = "@(#)$Id: fe_warp_piecewise_linear.c,v 1.2 2006/02/17 00:31:34 egouvea Exp $"; */</span>
<a name="l00057"></a>00057
<a name="l00058"></a>00058 <span class="preprocessor">#include <stdio.h></span>
<a name="l00059"></a>00059 <span class="preprocessor">#include <stdlib.h></span>
<a name="l00060"></a>00060 <span class="preprocessor">#include <math.h></span>
<a name="l00061"></a>00061 <span class="preprocessor">#include <string.h></span>
<a name="l00062"></a>00062
<a name="l00063"></a>00063 <span class="preprocessor">#ifdef _MSC_VER</span>
<a name="l00064"></a>00064 <span class="preprocessor"></span><span class="preprocessor">#pragma warning (disable: 4996)</span>
<a name="l00065"></a>00065 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00066"></a>00066 <span class="preprocessor"></span>
<a name="l00067"></a>00067 <span class="preprocessor">#include "sphinxbase/strfuncs.h"</span>
<a name="l00068"></a>00068 <span class="preprocessor">#include "sphinxbase/err.h"</span>
<a name="l00069"></a>00069
<a name="l00070"></a>00070 <span class="preprocessor">#include "fe_warp.h"</span>
<a name="l00071"></a>00071 <span class="preprocessor">#include "fe_warp_piecewise_linear.h"</span>
<a name="l00072"></a>00072
<a name="l00073"></a>00073 <span class="preprocessor">#define N_PARAM 2</span>
<a name="l00074"></a>00074 <span class="preprocessor"></span><span class="preprocessor">#define YES 1</span>
<a name="l00075"></a>00075 <span class="preprocessor"></span><span class="preprocessor">#define NO 0</span>
<a name="l00076"></a>00076 <span class="preprocessor"></span>
<a name="l00077"></a>00077 <span class="comment">/*</span>
<a name="l00078"></a>00078 <span class="comment"> * params[0] : a</span>
<a name="l00079"></a>00079 <span class="comment"> * params[1] : F (the non-differentiable point)</span>
<a name="l00080"></a>00080 <span class="comment"> */</span>
<a name="l00081"></a>00081 <span class="keyword">static</span> <span class="keywordtype">float</span> params[N_PARAM] = { 1.0f, 6800.0f };
<a name="l00082"></a>00082 <span class="keyword">static</span> <span class="keywordtype">float</span> final_piece[2];
<a name="l00083"></a>00083 <span class="keyword">static</span> int32 is_neutral = YES;
<a name="l00084"></a>00084 <span class="keyword">static</span> <span class="keywordtype">char</span> p_str[256] = <span class="stringliteral">""</span>;
<a name="l00085"></a>00085 <span class="keyword">static</span> <span class="keywordtype">float</span> nyquist_frequency = 0.0f;
<a name="l00086"></a>00086
<a name="l00087"></a>00087
<a name="l00088"></a>00088 <span class="keyword">const</span> <span class="keywordtype">char</span> *
<a name="l00089"></a>00089 fe_warp_piecewise_linear_doc()
<a name="l00090"></a>00090 {
<a name="l00091"></a>00091 <span class="keywordflow">return</span> <span class="stringliteral">"piecewise_linear :== < w' = a * w, w < F >"</span>;
<a name="l00092"></a>00092 }
<a name="l00093"></a>00093
<a name="l00094"></a>00094 uint32
<a name="l00095"></a>00095 fe_warp_piecewise_linear_id()
<a name="l00096"></a>00096 {
<a name="l00097"></a>00097 <span class="keywordflow">return</span> FE_WARP_ID_PIECEWISE_LINEAR;
<a name="l00098"></a>00098 }
<a name="l00099"></a>00099
<a name="l00100"></a>00100 uint32
<a name="l00101"></a>00101 fe_warp_piecewise_linear_n_param()
<a name="l00102"></a>00102 {
<a name="l00103"></a>00103 <span class="keywordflow">return</span> N_PARAM;
<a name="l00104"></a>00104 }
<a name="l00105"></a>00105
<a name="l00106"></a>00106 <span class="keywordtype">void</span>
<a name="l00107"></a>00107 fe_warp_piecewise_linear_set_parameters(<span class="keywordtype">char</span> <span class="keyword">const</span> *param_str,
<a name="l00108"></a>00108 <span class="keywordtype">float</span> sampling_rate)
<a name="l00109"></a>00109 {
<a name="l00110"></a>00110 <span class="keywordtype">char</span> *tok;
<a name="l00111"></a>00111 <span class="keywordtype">char</span> *seps = <span class="stringliteral">" \t"</span>;
<a name="l00112"></a>00112 <span class="keywordtype">char</span> temp_param_str[256];
<a name="l00113"></a>00113 <span class="keywordtype">int</span> param_index = 0;
<a name="l00114"></a>00114
<a name="l00115"></a>00115 nyquist_frequency = sampling_rate / 2;
<a name="l00116"></a>00116 <span class="keywordflow">if</span> (param_str == NULL) {
<a name="l00117"></a>00117 is_neutral = YES;
<a name="l00118"></a>00118 <span class="keywordflow">return</span>;
<a name="l00119"></a>00119 }
<a name="l00120"></a>00120 <span class="comment">/* The new parameters are the same as the current ones, so do nothing. */</span>
<a name="l00121"></a>00121 <span class="keywordflow">if</span> (strcmp(param_str, p_str) == 0) {
<a name="l00122"></a>00122 <span class="keywordflow">return</span>;
<a name="l00123"></a>00123 }
<a name="l00124"></a>00124 is_neutral = NO;
<a name="l00125"></a>00125 strcpy(temp_param_str, param_str);
<a name="l00126"></a>00126 memset(params, 0, N_PARAM * <span class="keyword">sizeof</span>(<span class="keywordtype">float</span>));
<a name="l00127"></a>00127 memset(final_piece, 0, 2 * <span class="keyword">sizeof</span>(<span class="keywordtype">float</span>));
<a name="l00128"></a>00128 strcpy(p_str, param_str);
<a name="l00129"></a>00129 <span class="comment">/* FIXME: strtok() is not re-entrant... */</span>
<a name="l00130"></a>00130 tok = strtok(temp_param_str, seps);
<a name="l00131"></a>00131 <span class="keywordflow">while</span> (tok != NULL) {
<a name="l00132"></a>00132 params[param_index++] = (float) <a class="code" href="strfuncs_8h.html#ab708351fe7308551632a782bfad75a1e" title="Locale independent version of atof().">atof_c</a>(tok);
<a name="l00133"></a>00133 tok = strtok(NULL, seps);
<a name="l00134"></a>00134 <span class="keywordflow">if</span> (param_index >= N_PARAM) {
<a name="l00135"></a>00135 <span class="keywordflow">break</span>;
<a name="l00136"></a>00136 }
<a name="l00137"></a>00137 }
<a name="l00138"></a>00138 <span class="keywordflow">if</span> (tok != NULL) {
<a name="l00139"></a>00139 <a class="code" href="err_8h.html#ac3c705943d946708cea0a1443be1c853" title="Print logging information to standard error stream.">E_INFO</a>
<a name="l00140"></a>00140 (<span class="stringliteral">"Piecewise linear warping takes up to two arguments, %s ignored.\n"</span>,
<a name="l00141"></a>00141 tok);
<a name="l00142"></a>00142 }
<a name="l00143"></a>00143 <span class="keywordflow">if</span> (params[1] < sampling_rate) {
<a name="l00144"></a>00144 <span class="comment">/* Precompute these. These are the coefficients of a</span>
<a name="l00145"></a>00145 <span class="comment"> * straight line that contains the points (F, aF) and (N,</span>
<a name="l00146"></a>00146 <span class="comment"> * N), where a = params[0], F = params[1], N = Nyquist</span>
<a name="l00147"></a>00147 <span class="comment"> * frequency.</span>
<a name="l00148"></a>00148 <span class="comment"> */</span>
<a name="l00149"></a>00149 <span class="keywordflow">if</span> (params[1] == 0) {
<a name="l00150"></a>00150 params[1] = sampling_rate * 0.85f;
<a name="l00151"></a>00151 }
<a name="l00152"></a>00152 final_piece[0] =
<a name="l00153"></a>00153 (nyquist_frequency -
<a name="l00154"></a>00154 params[0] * params[1]) / (nyquist_frequency - params[1]);
<a name="l00155"></a>00155 final_piece[1] =
<a name="l00156"></a>00156 nyquist_frequency * params[1] * (params[0] -
<a name="l00157"></a>00157 1.0f) / (nyquist_frequency -
<a name="l00158"></a>00158 params[1]);
<a name="l00159"></a>00159 }
<a name="l00160"></a>00160 <span class="keywordflow">else</span> {
<a name="l00161"></a>00161 memset(final_piece, 0, 2 * <span class="keyword">sizeof</span>(<span class="keywordtype">float</span>));
<a name="l00162"></a>00162 }
<a name="l00163"></a>00163 <span class="keywordflow">if</span> (params[0] == 0) {
<a name="l00164"></a>00164 is_neutral = YES;
<a name="l00165"></a>00165 <a class="code" href="err_8h.html#ac3c705943d946708cea0a1443be1c853" title="Print logging information to standard error stream.">E_INFO</a>
<a name="l00166"></a>00166 (<span class="stringliteral">"Piecewise linear warping cannot have slope zero, warping not applied.\n"</span>);
<a name="l00167"></a>00167 }
<a name="l00168"></a>00168 }
<a name="l00169"></a>00169
<a name="l00170"></a>00170 <span class="keywordtype">float</span>
<a name="l00171"></a>00171 fe_warp_piecewise_linear_warped_to_unwarped(<span class="keywordtype">float</span> nonlinear)
<a name="l00172"></a>00172 {
<a name="l00173"></a>00173 <span class="keywordflow">if</span> (is_neutral) {
<a name="l00174"></a>00174 <span class="keywordflow">return</span> nonlinear;
<a name="l00175"></a>00175 }
<a name="l00176"></a>00176 <span class="keywordflow">else</span> {
<a name="l00177"></a>00177 <span class="comment">/* linear = (nonlinear - b) / a */</span>
<a name="l00178"></a>00178 <span class="keywordtype">float</span> temp;
<a name="l00179"></a>00179 <span class="keywordflow">if</span> (nonlinear < params[0] * params[1]) {
<a name="l00180"></a>00180 temp = nonlinear / params[0];
<a name="l00181"></a>00181 }
<a name="l00182"></a>00182 <span class="keywordflow">else</span> {
<a name="l00183"></a>00183 temp = nonlinear - final_piece[1];
<a name="l00184"></a>00184 temp /= final_piece[0];
<a name="l00185"></a>00185 }
<a name="l00186"></a>00186 <span class="keywordflow">if</span> (temp > nyquist_frequency) {
<a name="l00187"></a>00187 <a class="code" href="err_8h.html#a6a794bec721b555ac1f2167f9e12f662" title="Print warning information to standard error stream.">E_WARN</a>
<a name="l00188"></a>00188 (<span class="stringliteral">"Warp factor %g results in frequency (%.1f) higher than Nyquist (%.1f)\n"</span>,
<a name="l00189"></a>00189 params[0], temp, nyquist_frequency);
<a name="l00190"></a>00190 }
<a name="l00191"></a>00191 <span class="keywordflow">return</span> temp;
<a name="l00192"></a>00192 }
<a name="l00193"></a>00193 }
<a name="l00194"></a>00194
<a name="l00195"></a>00195 <span class="keywordtype">float</span>
<a name="l00196"></a>00196 fe_warp_piecewise_linear_unwarped_to_warped(<span class="keywordtype">float</span> linear)
<a name="l00197"></a>00197 {
<a name="l00198"></a>00198 <span class="keywordflow">if</span> (is_neutral) {
<a name="l00199"></a>00199 <span class="keywordflow">return</span> linear;
<a name="l00200"></a>00200 }
<a name="l00201"></a>00201 <span class="keywordflow">else</span> {
<a name="l00202"></a>00202 <span class="keywordtype">float</span> temp;
<a name="l00203"></a>00203 <span class="comment">/* nonlinear = a * linear - b */</span>
<a name="l00204"></a>00204 <span class="keywordflow">if</span> (linear < params[1]) {
<a name="l00205"></a>00205 temp = linear * params[0];
<a name="l00206"></a>00206 }
<a name="l00207"></a>00207 <span class="keywordflow">else</span> {
<a name="l00208"></a>00208 temp = final_piece[0] * linear + final_piece[1];
<a name="l00209"></a>00209 }
<a name="l00210"></a>00210 <span class="keywordflow">return</span> temp;
<a name="l00211"></a>00211 }
<a name="l00212"></a>00212 }
<a name="l00213"></a>00213
<a name="l00214"></a>00214 <span class="keywordtype">void</span>
<a name="l00215"></a>00215 fe_warp_piecewise_linear_print(<span class="keyword">const</span> <span class="keywordtype">char</span> *label)
<a name="l00216"></a>00216 {
<a name="l00217"></a>00217 uint32 i;
<a name="l00218"></a>00218
<a name="l00219"></a>00219 <span class="keywordflow">for</span> (i = 0; i < N_PARAM; i++) {
<a name="l00220"></a>00220 printf(<span class="stringliteral">"%s[%04u]: %6.3f "</span>, label, i, params[i]);
<a name="l00221"></a>00221 }
<a name="l00222"></a>00222 printf(<span class="stringliteral">"\n"</span>);
<a name="l00223"></a>00223 }
<a name="l00224"></a>00224
<a name="l00225"></a>00225 <span class="comment">/*</span>
<a name="l00226"></a>00226 <span class="comment"> * Log record. Maintained by RCS.</span>
<a name="l00227"></a>00227 <span class="comment"> *</span>
<a name="l00228"></a>00228 <span class="comment"> * $Log: fe_warp_piecewise_linear.c,v $</span>
<a name="l00229"></a>00229 <span class="comment"> * Revision 1.2 2006/02/17 00:31:34 egouvea</span>
<a name="l00230"></a>00230 <span class="comment"> * Removed switch -melwarp. Changed the default for window length to</span>
<a name="l00231"></a>00231 <span class="comment"> * 0.025625 from 0.256 (so that a window at 16kHz sampling rate has</span>
<a name="l00232"></a>00232 <span class="comment"> * exactly 410 samples). Cleaned up include's. Replaced some E_FATAL()</span>
<a name="l00233"></a>00233 <span class="comment"> * with E_WARN() and return.</span>
<a name="l00234"></a>00234 <span class="comment"> *</span>
<a name="l00235"></a>00235 <span class="comment"> * Revision 1.1 2006/02/16 00:18:26 egouvea</span>
<a name="l00236"></a>00236 <span class="comment"> * Implemented flexible warping function. The user can specify at run</span>
<a name="l00237"></a>00237 <span class="comment"> * time which of several shapes they want to use. Currently implemented</span>
<a name="l00238"></a>00238 <span class="comment"> * are an affine function (y = ax + b), an inverse linear (y = a/x) and a</span>
<a name="l00239"></a>00239 <span class="comment"> * piecewise linear (y = ax, up to a frequency F, and then it "breaks" so</span>
<a name="l00240"></a>00240 <span class="comment"> * Nyquist frequency matches in both scales.</span>
<a name="l00241"></a>00241 <span class="comment"> *</span>
<a name="l00242"></a>00242 <span class="comment"> * Added two switches, -warp_type and -warp_params. The first specifies</span>
<a name="l00243"></a>00243 <span class="comment"> * the type, which valid values:</span>
<a name="l00244"></a>00244 <span class="comment"> *</span>
<a name="l00245"></a>00245 <span class="comment"> * -inverse or inverse_linear</span>
<a name="l00246"></a>00246 <span class="comment"> * -linear or affine</span>
<a name="l00247"></a>00247 <span class="comment"> * -piecewise or piecewise_linear</span>
<a name="l00248"></a>00248 <span class="comment"> *</span>
<a name="l00249"></a>00249 <span class="comment"> * The inverse_linear is the same as implemented by EHT. The -mel_warp</span>
<a name="l00250"></a>00250 <span class="comment"> * switch was kept for compatibility (maybe remove it in the</span>
<a name="l00251"></a>00251 <span class="comment"> * future?). The code is compatible with EHT's changes: cepstra created</span>
<a name="l00252"></a>00252 <span class="comment"> * from code after his changes should be the same as now. Scripts that</span>
<a name="l00253"></a>00253 <span class="comment"> * worked with his changes should work now without changes. Tested a few</span>
<a name="l00254"></a>00254 <span class="comment"> * cases, same results.</span>
<a name="l00255"></a>00255 <span class="comment"> *</span>
<a name="l00256"></a>00256 <span class="comment"> */</span>
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