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1 /* |
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2 * GStreamer |
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3 * Copyright (C) 2007-2009 Sebastian Dröge <sebastian.droege@collabora.co.uk> |
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4 * |
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5 * This library is free software; you can redistribute it and/or |
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6 * modify it under the terms of the GNU Library General Public |
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7 * License as published by the Free Software Foundation; either |
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8 * version 2 of the License, or (at your option) any later version. |
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9 * |
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10 * This library is distributed in the hope that it will be useful, |
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11 * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 * Library General Public License for more details. |
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14 * |
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15 * You should have received a copy of the GNU Library General Public |
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16 * License along with this library; if not, write to the |
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17 * Free Software Foundation, Inc., 59 Temple Place - Suite 330, |
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18 * Boston, MA 02111-1307, USA. |
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19 */ |
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20 |
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21 /* |
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22 * Chebyshev type 1 filter design based on |
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23 * "The Scientist and Engineer's Guide to DSP", Chapter 20. |
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24 * http://www.dspguide.com/ |
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25 * |
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26 * For type 2 and Chebyshev filters in general read |
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27 * http://en.wikipedia.org/wiki/Chebyshev_filter |
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28 * |
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29 */ |
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30 |
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31 /** |
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32 * SECTION:element-audiocheblimit |
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33 * |
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34 * Attenuates all frequencies above the cutoff frequency (low-pass) or all frequencies below the |
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35 * cutoff frequency (high-pass). The number of poles and the ripple parameter control the rolloff. |
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36 * |
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37 * This element has the advantage over the windowed sinc lowpass and highpass filter that it is |
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38 * much faster and produces almost as good results. It's only disadvantages are the highly |
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39 * non-linear phase and the slower rolloff compared to a windowed sinc filter with a large kernel. |
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40 * |
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41 * For type 1 the ripple parameter specifies how much ripple in dB is allowed in the passband, i.e. |
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42 * some frequencies in the passband will be amplified by that value. A higher ripple value will allow |
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43 * a faster rolloff. |
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44 * |
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45 * For type 2 the ripple parameter specifies the stopband attenuation. In the stopband the gain will |
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46 * be at most this value. A lower ripple value will allow a faster rolloff. |
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47 * |
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48 * As a special case, a Chebyshev type 1 filter with no ripple is a Butterworth filter. |
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49 * </para> |
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50 * <note><para> |
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51 * Be warned that a too large number of poles can produce noise. The most poles are possible with |
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52 * a cutoff frequency at a quarter of the sampling rate. |
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53 * </para></note> |
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54 * <para> |
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55 * <refsect2> |
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56 * <title>Example launch line</title> |
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57 * |[ |
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58 * gst-launch audiotestsrc freq=1500 ! audioconvert ! audiocheblimit mode=low-pass cutoff=1000 poles=4 ! audioconvert ! alsasink |
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59 * gst-launch filesrc location="melo1.ogg" ! oggdemux ! vorbisdec ! audioconvert ! audiocheblimit mode=high-pass cutoff=400 ripple=0.2 ! audioconvert ! alsasink |
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60 * gst-launch audiotestsrc wave=white-noise ! audioconvert ! audiocheblimit mode=low-pass cutoff=800 type=2 ! audioconvert ! alsasink |
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61 * ]| |
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62 * </refsect2> |
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63 */ |
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64 |
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65 #ifdef HAVE_CONFIG_H |
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66 #include "config.h" |
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67 #endif |
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68 |
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69 #include <gst/gst.h> |
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70 #include <gst/base/gstbasetransform.h> |
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71 #include <gst/audio/audio.h> |
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72 #include <gst/audio/gstaudiofilter.h> |
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73 #include <gst/controller/gstcontroller.h> |
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74 |
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75 #include <math.h> |
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76 |
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77 #include "math_compat.h" |
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78 |
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79 #include "audiocheblimit.h" |
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80 |
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81 #define GST_CAT_DEFAULT gst_audio_cheb_limit_debug |
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82 GST_DEBUG_CATEGORY_STATIC (GST_CAT_DEFAULT); |
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83 |
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84 enum |
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85 { |
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86 PROP_0, |
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87 PROP_MODE, |
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88 PROP_TYPE, |
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89 PROP_CUTOFF, |
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90 PROP_RIPPLE, |
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91 PROP_POLES |
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92 }; |
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93 |
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94 #define DEBUG_INIT(bla) \ |
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95 GST_DEBUG_CATEGORY_INIT (gst_audio_cheb_limit_debug, "audiocheblimit", 0, "audiocheblimit element"); |
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96 |
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97 GST_BOILERPLATE_FULL (GstAudioChebLimit, |
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98 gst_audio_cheb_limit, GstAudioFXBaseIIRFilter, |
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99 GST_TYPE_AUDIO_FX_BASE_IIR_FILTER, DEBUG_INIT); |
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100 |
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101 static void gst_audio_cheb_limit_set_property (GObject * object, |
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102 guint prop_id, const GValue * value, GParamSpec * pspec); |
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103 static void gst_audio_cheb_limit_get_property (GObject * object, |
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104 guint prop_id, GValue * value, GParamSpec * pspec); |
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105 static void gst_audio_cheb_limit_finalize (GObject * object); |
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106 |
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107 static gboolean gst_audio_cheb_limit_setup (GstAudioFilter * filter, |
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108 GstRingBufferSpec * format); |
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109 |
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110 enum |
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111 { |
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112 MODE_LOW_PASS = 0, |
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113 MODE_HIGH_PASS |
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114 }; |
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115 |
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116 #define GST_TYPE_AUDIO_CHEBYSHEV_FREQ_LIMIT_MODE (gst_audio_cheb_limit_mode_get_type ()) |
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117 static GType |
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118 gst_audio_cheb_limit_mode_get_type (void) |
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119 { |
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120 static GType gtype = 0; |
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121 |
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122 if (gtype == 0) { |
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123 static const GEnumValue values[] = { |
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124 {MODE_LOW_PASS, "Low pass (default)", |
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125 "low-pass"}, |
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126 {MODE_HIGH_PASS, "High pass", |
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127 "high-pass"}, |
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128 {0, NULL, NULL} |
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129 }; |
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130 |
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131 gtype = g_enum_register_static ("GstAudioChebLimitMode", values); |
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132 } |
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133 return gtype; |
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134 } |
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135 |
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136 /* GObject vmethod implementations */ |
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137 |
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138 static void |
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139 gst_audio_cheb_limit_base_init (gpointer klass) |
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140 { |
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141 GstElementClass *element_class = GST_ELEMENT_CLASS (klass); |
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142 |
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143 gst_element_class_set_details_simple (element_class, |
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144 "Low pass & high pass filter", |
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145 "Filter/Effect/Audio", |
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146 "Chebyshev low pass and high pass filter", |
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147 "Sebastian Dröge <sebastian.droege@collabora.co.uk>"); |
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148 } |
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149 |
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150 static void |
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151 gst_audio_cheb_limit_class_init (GstAudioChebLimitClass * klass) |
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152 { |
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153 GObjectClass *gobject_class = (GObjectClass *) klass; |
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154 GstAudioFilterClass *filter_class = (GstAudioFilterClass *) klass; |
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155 |
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156 gobject_class->set_property = gst_audio_cheb_limit_set_property; |
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157 gobject_class->get_property = gst_audio_cheb_limit_get_property; |
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158 gobject_class->finalize = gst_audio_cheb_limit_finalize; |
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159 |
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160 g_object_class_install_property (gobject_class, PROP_MODE, |
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161 g_param_spec_enum ("mode", "Mode", |
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162 "Low pass or high pass mode", |
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163 GST_TYPE_AUDIO_CHEBYSHEV_FREQ_LIMIT_MODE, MODE_LOW_PASS, |
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164 G_PARAM_READWRITE | GST_PARAM_CONTROLLABLE | G_PARAM_STATIC_STRINGS)); |
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165 g_object_class_install_property (gobject_class, PROP_TYPE, |
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166 g_param_spec_int ("type", "Type", "Type of the chebychev filter", 1, 2, 1, |
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167 G_PARAM_READWRITE | GST_PARAM_CONTROLLABLE | G_PARAM_STATIC_STRINGS)); |
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168 |
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169 /* FIXME: Don't use the complete possible range but restrict the upper boundary |
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170 * so automatically generated UIs can use a slider without */ |
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171 g_object_class_install_property (gobject_class, PROP_CUTOFF, |
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172 g_param_spec_float ("cutoff", "Cutoff", "Cut off frequency (Hz)", 0.0, |
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173 100000.0, 0.0, |
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174 G_PARAM_READWRITE | GST_PARAM_CONTROLLABLE | G_PARAM_STATIC_STRINGS)); |
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175 g_object_class_install_property (gobject_class, PROP_RIPPLE, |
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176 g_param_spec_float ("ripple", "Ripple", "Amount of ripple (dB)", 0.0, |
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177 200.0, 0.25, |
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178 G_PARAM_READWRITE | GST_PARAM_CONTROLLABLE | G_PARAM_STATIC_STRINGS)); |
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179 |
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180 /* FIXME: What to do about this upper boundary? With a cutoff frequency of |
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181 * rate/4 32 poles are completely possible, with a cutoff frequency very low |
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182 * or very high 16 poles already produces only noise */ |
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183 g_object_class_install_property (gobject_class, PROP_POLES, |
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184 g_param_spec_int ("poles", "Poles", |
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185 "Number of poles to use, will be rounded up to the next even number", |
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186 2, 32, 4, |
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187 G_PARAM_READWRITE | GST_PARAM_CONTROLLABLE | G_PARAM_STATIC_STRINGS)); |
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188 |
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189 filter_class->setup = GST_DEBUG_FUNCPTR (gst_audio_cheb_limit_setup); |
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190 } |
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191 |
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192 static void |
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193 gst_audio_cheb_limit_init (GstAudioChebLimit * filter, |
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194 GstAudioChebLimitClass * klass) |
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195 { |
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196 filter->cutoff = 0.0; |
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197 filter->mode = MODE_LOW_PASS; |
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198 filter->type = 1; |
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199 filter->poles = 4; |
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200 filter->ripple = 0.25; |
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201 |
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202 filter->lock = g_mutex_new (); |
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203 } |
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204 |
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205 static void |
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206 generate_biquad_coefficients (GstAudioChebLimit * filter, |
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207 gint p, gdouble * a0, gdouble * a1, gdouble * a2, |
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208 gdouble * b1, gdouble * b2) |
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209 { |
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210 gint np = filter->poles; |
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211 gdouble ripple = filter->ripple; |
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212 |
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213 /* pole location in s-plane */ |
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214 gdouble rp, ip; |
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215 |
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216 /* zero location in s-plane */ |
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217 gdouble iz = 0.0; |
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218 |
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219 /* transfer function coefficients for the z-plane */ |
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220 gdouble x0, x1, x2, y1, y2; |
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221 gint type = filter->type; |
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222 |
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223 /* Calculate pole location for lowpass at frequency 1 */ |
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224 { |
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225 gdouble angle = (M_PI / 2.0) * (2.0 * p - 1) / np; |
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226 |
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227 rp = -sin (angle); |
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228 ip = cos (angle); |
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229 } |
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230 |
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231 /* If we allow ripple, move the pole from the unit |
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232 * circle to an ellipse and keep cutoff at frequency 1 */ |
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233 if (ripple > 0 && type == 1) { |
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234 gdouble es, vx; |
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235 |
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236 es = sqrt (pow (10.0, ripple / 10.0) - 1.0); |
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237 |
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238 vx = (1.0 / np) * asinh (1.0 / es); |
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239 rp = rp * sinh (vx); |
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240 ip = ip * cosh (vx); |
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241 } else if (type == 2) { |
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242 gdouble es, vx; |
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243 |
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244 es = sqrt (pow (10.0, ripple / 10.0) - 1.0); |
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245 vx = (1.0 / np) * asinh (es); |
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246 rp = rp * sinh (vx); |
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247 ip = ip * cosh (vx); |
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248 } |
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249 |
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250 /* Calculate inverse of the pole location to convert from |
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251 * type I to type II */ |
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252 if (type == 2) { |
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253 gdouble mag2 = rp * rp + ip * ip; |
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254 |
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255 rp /= mag2; |
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256 ip /= mag2; |
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257 } |
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258 |
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259 /* Calculate zero location for frequency 1 on the |
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260 * unit circle for type 2 */ |
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261 if (type == 2) { |
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262 gdouble angle = M_PI / (np * 2.0) + ((p - 1) * M_PI) / (np); |
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263 gdouble mag2; |
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264 |
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265 iz = cos (angle); |
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266 mag2 = iz * iz; |
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267 iz /= mag2; |
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268 } |
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269 |
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270 /* Convert from s-domain to z-domain by |
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271 * using the bilinear Z-transform, i.e. |
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272 * substitute s by (2/t)*((z-1)/(z+1)) |
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273 * with t = 2 * tan(0.5). |
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274 */ |
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275 if (type == 1) { |
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276 gdouble t, m, d; |
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277 |
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278 t = 2.0 * tan (0.5); |
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279 m = rp * rp + ip * ip; |
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280 d = 4.0 - 4.0 * rp * t + m * t * t; |
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281 |
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282 x0 = (t * t) / d; |
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283 x1 = 2.0 * x0; |
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284 x2 = x0; |
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285 y1 = (8.0 - 2.0 * m * t * t) / d; |
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286 y2 = (-4.0 - 4.0 * rp * t - m * t * t) / d; |
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287 } else { |
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288 gdouble t, m, d; |
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289 |
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290 t = 2.0 * tan (0.5); |
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291 m = rp * rp + ip * ip; |
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292 d = 4.0 - 4.0 * rp * t + m * t * t; |
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293 |
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294 x0 = (t * t * iz * iz + 4.0) / d; |
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295 x1 = (-8.0 + 2.0 * iz * iz * t * t) / d; |
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296 x2 = x0; |
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297 y1 = (8.0 - 2.0 * m * t * t) / d; |
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298 y2 = (-4.0 - 4.0 * rp * t - m * t * t) / d; |
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299 } |
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300 |
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301 /* Convert from lowpass at frequency 1 to either lowpass |
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302 * or highpass. |
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303 * |
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304 * For lowpass substitute z^(-1) with: |
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305 * -1 |
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306 * z - k |
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307 * ------------ |
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308 * -1 |
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309 * 1 - k * z |
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310 * |
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311 * k = sin((1-w)/2) / sin((1+w)/2) |
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312 * |
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313 * For highpass substitute z^(-1) with: |
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314 * |
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315 * -1 |
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316 * -z - k |
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317 * ------------ |
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318 * -1 |
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319 * 1 + k * z |
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320 * |
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321 * k = -cos((1+w)/2) / cos((1-w)/2) |
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322 * |
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323 */ |
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324 { |
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325 gdouble k, d; |
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326 gdouble omega = |
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327 2.0 * M_PI * (filter->cutoff / GST_AUDIO_FILTER (filter)->format.rate); |
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328 |
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329 if (filter->mode == MODE_LOW_PASS) |
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330 k = sin ((1.0 - omega) / 2.0) / sin ((1.0 + omega) / 2.0); |
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331 else |
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332 k = -cos ((omega + 1.0) / 2.0) / cos ((omega - 1.0) / 2.0); |
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333 |
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334 d = 1.0 + y1 * k - y2 * k * k; |
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335 *a0 = (x0 + k * (-x1 + k * x2)) / d; |
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336 *a1 = (x1 + k * k * x1 - 2.0 * k * (x0 + x2)) / d; |
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337 *a2 = (x0 * k * k - x1 * k + x2) / d; |
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338 *b1 = (2.0 * k + y1 + y1 * k * k - 2.0 * y2 * k) / d; |
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339 *b2 = (-k * k - y1 * k + y2) / d; |
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340 |
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341 if (filter->mode == MODE_HIGH_PASS) { |
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342 *a1 = -*a1; |
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343 *b1 = -*b1; |
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344 } |
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345 } |
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346 } |
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347 |
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348 static void |
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349 generate_coefficients (GstAudioChebLimit * filter) |
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350 { |
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351 if (GST_AUDIO_FILTER (filter)->format.rate == 0) { |
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352 gdouble *a = g_new0 (gdouble, 1); |
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353 |
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354 a[0] = 1.0; |
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355 gst_audio_fx_base_iir_filter_set_coefficients (GST_AUDIO_FX_BASE_IIR_FILTER |
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356 (filter), a, 1, NULL, 0); |
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357 |
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358 GST_LOG_OBJECT (filter, "rate was not set yet"); |
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359 return; |
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360 } |
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361 |
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362 if (filter->cutoff >= GST_AUDIO_FILTER (filter)->format.rate / 2.0) { |
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363 gdouble *a = g_new0 (gdouble, 1); |
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364 |
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365 a[0] = (filter->mode == MODE_LOW_PASS) ? 1.0 : 0.0; |
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366 gst_audio_fx_base_iir_filter_set_coefficients (GST_AUDIO_FX_BASE_IIR_FILTER |
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367 (filter), a, 1, NULL, 0); |
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368 GST_LOG_OBJECT (filter, "cutoff was higher than nyquist frequency"); |
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369 return; |
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370 } else if (filter->cutoff <= 0.0) { |
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371 gdouble *a = g_new0 (gdouble, 1); |
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372 |
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373 a[0] = (filter->mode == MODE_LOW_PASS) ? 0.0 : 1.0; |
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374 gst_audio_fx_base_iir_filter_set_coefficients (GST_AUDIO_FX_BASE_IIR_FILTER |
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375 (filter), a, 1, NULL, 0); |
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376 GST_LOG_OBJECT (filter, "cutoff is lower than zero"); |
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377 return; |
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378 } |
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379 |
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380 /* Calculate coefficients for the chebyshev filter */ |
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381 { |
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382 gint np = filter->poles; |
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383 gdouble *a, *b; |
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384 gint i, p; |
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385 |
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386 a = g_new0 (gdouble, np + 3); |
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387 b = g_new0 (gdouble, np + 3); |
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388 |
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389 /* Calculate transfer function coefficients */ |
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390 a[2] = 1.0; |
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391 b[2] = 1.0; |
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392 |
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393 for (p = 1; p <= np / 2; p++) { |
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394 gdouble a0, a1, a2, b1, b2; |
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395 gdouble *ta = g_new0 (gdouble, np + 3); |
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396 gdouble *tb = g_new0 (gdouble, np + 3); |
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397 |
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398 generate_biquad_coefficients (filter, p, &a0, &a1, &a2, &b1, &b2); |
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399 |
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400 memcpy (ta, a, sizeof (gdouble) * (np + 3)); |
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401 memcpy (tb, b, sizeof (gdouble) * (np + 3)); |
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402 |
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403 /* add the new coefficients for the new two poles |
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404 * to the cascade by multiplication of the transfer |
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405 * functions */ |
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406 for (i = 2; i < np + 3; i++) { |
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407 a[i] = a0 * ta[i] + a1 * ta[i - 1] + a2 * ta[i - 2]; |
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408 b[i] = tb[i] - b1 * tb[i - 1] - b2 * tb[i - 2]; |
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409 } |
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410 g_free (ta); |
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411 g_free (tb); |
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412 } |
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413 |
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414 /* Move coefficients to the beginning of the array |
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415 * and multiply the b coefficients with -1 to move from |
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416 * the transfer function's coefficients to the difference |
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417 * equation's coefficients */ |
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418 b[2] = 0.0; |
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419 for (i = 0; i <= np; i++) { |
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420 a[i] = a[i + 2]; |
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421 b[i] = -b[i + 2]; |
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422 } |
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423 |
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424 /* Normalize to unity gain at frequency 0 for lowpass |
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425 * and frequency 0.5 for highpass */ |
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426 { |
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427 gdouble gain; |
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428 |
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429 if (filter->mode == MODE_LOW_PASS) |
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430 gain = |
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431 gst_audio_fx_base_iir_filter_calculate_gain (a, np + 1, b, np + 1, |
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432 1.0, 0.0); |
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433 else |
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434 gain = |
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435 gst_audio_fx_base_iir_filter_calculate_gain (a, np + 1, b, np + 1, |
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436 -1.0, 0.0); |
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437 |
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438 for (i = 0; i <= np; i++) { |
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439 a[i] /= gain; |
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440 } |
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441 } |
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442 |
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443 gst_audio_fx_base_iir_filter_set_coefficients (GST_AUDIO_FX_BASE_IIR_FILTER |
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444 (filter), a, np + 1, b, np + 1); |
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445 |
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446 GST_LOG_OBJECT (filter, |
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447 "Generated IIR coefficients for the Chebyshev filter"); |
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448 GST_LOG_OBJECT (filter, |
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449 "mode: %s, type: %d, poles: %d, cutoff: %.2f Hz, ripple: %.2f dB", |
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450 (filter->mode == MODE_LOW_PASS) ? "low-pass" : "high-pass", |
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451 filter->type, filter->poles, filter->cutoff, filter->ripple); |
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452 GST_LOG_OBJECT (filter, "%.2f dB gain @ 0 Hz", |
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453 20.0 * log10 (gst_audio_fx_base_iir_filter_calculate_gain (a, np + 1, b, |
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454 np + 1, 1.0, 0.0))); |
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455 |
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456 #ifndef GST_DISABLE_GST_DEBUG |
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457 { |
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458 gdouble wc = |
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459 2.0 * M_PI * (filter->cutoff / |
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460 GST_AUDIO_FILTER (filter)->format.rate); |
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461 gdouble zr = cos (wc), zi = sin (wc); |
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462 |
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463 GST_LOG_OBJECT (filter, "%.2f dB gain @ %d Hz", |
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464 20.0 * log10 (gst_audio_fx_base_iir_filter_calculate_gain (a, np + 1, |
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465 b, np + 1, zr, zi)), (int) filter->cutoff); |
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466 } |
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467 #endif |
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468 |
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469 GST_LOG_OBJECT (filter, "%.2f dB gain @ %d Hz", |
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470 20.0 * log10 (gst_audio_fx_base_iir_filter_calculate_gain (a, np + 1, b, |
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471 np + 1, -1.0, 0.0)), |
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472 GST_AUDIO_FILTER (filter)->format.rate / 2); |
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473 } |
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474 } |
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475 |
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476 static void |
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477 gst_audio_cheb_limit_finalize (GObject * object) |
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478 { |
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479 GstAudioChebLimit *filter = GST_AUDIO_CHEB_LIMIT (object); |
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480 |
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481 g_mutex_free (filter->lock); |
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482 filter->lock = NULL; |
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483 |
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484 G_OBJECT_CLASS (parent_class)->finalize (object); |
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485 } |
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486 |
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487 static void |
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488 gst_audio_cheb_limit_set_property (GObject * object, guint prop_id, |
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489 const GValue * value, GParamSpec * pspec) |
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490 { |
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491 GstAudioChebLimit *filter = GST_AUDIO_CHEB_LIMIT (object); |
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492 |
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493 switch (prop_id) { |
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494 case PROP_MODE: |
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495 g_mutex_lock (filter->lock); |
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496 filter->mode = g_value_get_enum (value); |
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497 generate_coefficients (filter); |
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498 g_mutex_unlock (filter->lock); |
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499 break; |
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500 case PROP_TYPE: |
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501 g_mutex_lock (filter->lock); |
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502 filter->type = g_value_get_int (value); |
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503 generate_coefficients (filter); |
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504 g_mutex_unlock (filter->lock); |
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505 break; |
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506 case PROP_CUTOFF: |
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507 g_mutex_lock (filter->lock); |
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508 filter->cutoff = g_value_get_float (value); |
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509 generate_coefficients (filter); |
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510 g_mutex_unlock (filter->lock); |
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511 break; |
|
512 case PROP_RIPPLE: |
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513 g_mutex_lock (filter->lock); |
|
514 filter->ripple = g_value_get_float (value); |
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515 generate_coefficients (filter); |
|
516 g_mutex_unlock (filter->lock); |
|
517 break; |
|
518 case PROP_POLES: |
|
519 g_mutex_lock (filter->lock); |
|
520 filter->poles = GST_ROUND_UP_2 (g_value_get_int (value)); |
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521 generate_coefficients (filter); |
|
522 g_mutex_unlock (filter->lock); |
|
523 break; |
|
524 default: |
|
525 G_OBJECT_WARN_INVALID_PROPERTY_ID (object, prop_id, pspec); |
|
526 break; |
|
527 } |
|
528 } |
|
529 |
|
530 static void |
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531 gst_audio_cheb_limit_get_property (GObject * object, guint prop_id, |
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532 GValue * value, GParamSpec * pspec) |
|
533 { |
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534 GstAudioChebLimit *filter = GST_AUDIO_CHEB_LIMIT (object); |
|
535 |
|
536 switch (prop_id) { |
|
537 case PROP_MODE: |
|
538 g_value_set_enum (value, filter->mode); |
|
539 break; |
|
540 case PROP_TYPE: |
|
541 g_value_set_int (value, filter->type); |
|
542 break; |
|
543 case PROP_CUTOFF: |
|
544 g_value_set_float (value, filter->cutoff); |
|
545 break; |
|
546 case PROP_RIPPLE: |
|
547 g_value_set_float (value, filter->ripple); |
|
548 break; |
|
549 case PROP_POLES: |
|
550 g_value_set_int (value, filter->poles); |
|
551 break; |
|
552 default: |
|
553 G_OBJECT_WARN_INVALID_PROPERTY_ID (object, prop_id, pspec); |
|
554 break; |
|
555 } |
|
556 } |
|
557 |
|
558 /* GstAudioFilter vmethod implementations */ |
|
559 |
|
560 static gboolean |
|
561 gst_audio_cheb_limit_setup (GstAudioFilter * base, GstRingBufferSpec * format) |
|
562 { |
|
563 GstAudioChebLimit *filter = GST_AUDIO_CHEB_LIMIT (base); |
|
564 |
|
565 generate_coefficients (filter); |
|
566 |
|
567 return GST_AUDIO_FILTER_CLASS (parent_class)->setup (base, format); |
|
568 } |