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5
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1 /*
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2 * SpanDSP - a series of DSP components for telephony
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3 *
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4 * complex_dds.c
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5 *
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6 * Written by Steve Underwood <steveu@coppice.org>
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7 *
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8 * Copyright (C) 2003 Steve Underwood
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9 *
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10 * All rights reserved.
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11 *
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12 * This program is free software; you can redistribute it and/or modify
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13 * it under the terms of the GNU General Public License version 2, as
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14 * published by the Free Software Foundation.
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15 *
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16 * This program is distributed in the hope that it will be useful,
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17 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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18 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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19 * GNU General Public License for more details.
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20 *
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21 * You should have received a copy of the GNU General Public License
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22 * along with this program; if not, write to the Free Software
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23 * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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24 *
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25 * $Id: complex_dds.c,v 1.19 2006/11/28 16:59:56 steveu Exp $
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26 */
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27
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28 /*! \file */
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29
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30 #ifdef HAVE_CONFIG_H
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31 #include <config.h>
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32 #endif
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33
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34 #include <stdio.h>
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35 #include <inttypes.h>
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36 #if defined(HAVE_TGMATH_H)
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37 #include <tgmath.h>
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38 #endif
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39 #if defined(HAVE_MATH_H)
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40 #include <math.h>
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41 #endif
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42
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43 #include "spandsp/telephony.h"
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44 #include "spandsp/complex.h"
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45 #include "spandsp/dds.h"
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46
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47 #define SLENK 11
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48 #define SINELEN (1 << SLENK)
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49
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50 /* Precreating this table allows it to be in const memory, which might
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51 have some performance advantage. */
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52 static const float sine_table[SINELEN] =
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53 {
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54 0.00000000f,
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55 0.00306796f,
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56 0.00613588f,
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57 0.00920375f,
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58 0.01227154f,
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59 0.01533921f,
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60 0.01840673f,
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61 0.02147408f,
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62 0.02454123f,
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63 0.02760815f,
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64 0.03067480f,
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65 0.03374117f,
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66 0.03680722f,
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67 0.03987293f,
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68 0.04293826f,
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69 0.04600318f,
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70 0.04906767f,
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71 0.05213170f,
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72 0.05519524f,
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73 0.05825826f,
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74 0.06132074f,
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75 0.06438263f,
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76 0.06744392f,
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77 0.07050457f,
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78 0.07356456f,
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79 0.07662386f,
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80 0.07968244f,
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81 0.08274026f,
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82 0.08579731f,
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83 0.08885355f,
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84 0.09190896f,
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85 0.09496350f,
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86 0.09801714f,
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87 0.10106986f,
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88 0.10412163f,
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89 0.10717242f,
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90 0.11022221f,
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91 0.11327095f,
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92 0.11631863f,
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93 0.11936521f,
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94 0.12241068f,
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95 0.12545498f,
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96 0.12849811f,
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97 0.13154003f,
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98 0.13458071f,
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99 0.13762012f,
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100 0.14065824f,
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101 0.14369503f,
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102 0.14673047f,
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103 0.14976453f,
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104 0.15279719f,
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105 0.15582840f,
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106 0.15885814f,
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107 0.16188639f,
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108 0.16491312f,
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109 0.16793829f,
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110 0.17096189f,
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111 0.17398387f,
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112 0.17700422f,
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113 0.18002290f,
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114 0.18303989f,
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115 0.18605515f,
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116 0.18906866f,
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117 0.19208040f,
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118 0.19509032f,
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119 0.19809841f,
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120 0.20110463f,
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121 0.20410897f,
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122 0.20711138f,
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123 0.21011184f,
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124 0.21311032f,
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125 0.21610680f,
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126 0.21910124f,
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127 0.22209362f,
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128 0.22508391f,
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129 0.22807208f,
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130 0.23105811f,
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131 0.23404196f,
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132 0.23702361f,
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133 0.24000302f,
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134 0.24298018f,
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135 0.24595505f,
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136 0.24892761f,
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137 0.25189782f,
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138 0.25486566f,
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139 0.25783110f,
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140 0.26079412f,
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141 0.26375468f,
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142 0.26671276f,
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143 0.26966833f,
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144 0.27262136f,
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145 0.27557182f,
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146 0.27851969f,
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147 0.28146494f,
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148 0.28440754f,
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149 0.28734746f,
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150 0.29028468f,
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151 0.29321916f,
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152 0.29615089f,
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153 0.29907983f,
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154 0.30200595f,
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155 0.30492923f,
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156 0.30784964f,
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157 0.31076715f,
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158 0.31368174f,
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159 0.31659338f,
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160 0.31950203f,
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161 0.32240768f,
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162 0.32531029f,
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163 0.32820984f,
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164 0.33110631f,
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165 0.33399965f,
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166 0.33688985f,
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167 0.33977688f,
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168 0.34266072f,
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169 0.34554132f,
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170 0.34841868f,
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171 0.35129276f,
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172 0.35416353f,
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173 0.35703096f,
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174 0.35989504f,
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175 0.36275572f,
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176 0.36561300f,
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177 0.36846683f,
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178 0.37131719f,
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179 0.37416406f,
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180 0.37700741f,
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181 0.37984721f,
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182 0.38268343f,
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183 0.38551605f,
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184 0.38834505f,
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185 0.39117038f,
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186 0.39399204f,
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187 0.39680999f,
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188 0.39962420f,
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189 0.40243465f,
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190 0.40524131f,
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191 0.40804416f,
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192 0.41084317f,
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193 0.41363831f,
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194 0.41642956f,
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195 0.41921689f,
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196 0.42200027f,
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197 0.42477968f,
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198 0.42755509f,
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199 0.43032648f,
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200 0.43309382f,
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201 0.43585708f,
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202 0.43861624f,
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203 0.44137127f,
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204 0.44412214f,
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205 0.44686884f,
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206 0.44961133f,
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207 0.45234959f,
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208 0.45508359f,
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209 0.45781330f,
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210 0.46053871f,
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211 0.46325978f,
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212 0.46597650f,
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213 0.46868882f,
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214 0.47139674f,
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215 0.47410021f,
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216 0.47679923f,
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217 0.47949376f,
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218 0.48218377f,
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219 0.48486925f,
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220 0.48755016f,
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221 0.49022648f,
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222 0.49289819f,
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223 0.49556526f,
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224 0.49822767f,
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225 0.50088538f,
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226 0.50353838f,
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227 0.50618665f,
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228 0.50883014f,
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229 0.51146885f,
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230 0.51410274f,
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231 0.51673180f,
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232 0.51935599f,
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233 0.52197529f,
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234 0.52458968f,
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235 0.52719913f,
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236 0.52980362f,
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237 0.53240313f,
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238 0.53499762f,
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239 0.53758708f,
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240 0.54017147f,
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241 0.54275078f,
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242 0.54532499f,
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243 0.54789406f,
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244 0.55045797f,
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245 0.55301671f,
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246 0.55557023f,
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247 0.55811853f,
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248 0.56066158f,
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249 0.56319934f,
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250 0.56573181f,
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251 0.56825895f,
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252 0.57078075f,
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253 0.57329717f,
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254 0.57580819f,
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255 0.57831380f,
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256 0.58081396f,
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257 0.58330865f,
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258 0.58579786f,
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259 0.58828155f,
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260 0.59075970f,
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261 0.59323230f,
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262 0.59569930f,
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263 0.59816071f,
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264 0.60061648f,
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265 0.60306660f,
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266 0.60551104f,
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267 0.60794978f,
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268 0.61038281f,
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269 0.61281008f,
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270 0.61523159f,
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271 0.61764731f,
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272 0.62005721f,
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273 0.62246128f,
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274 0.62485949f,
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275 0.62725182f,
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276 0.62963824f,
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277 0.63201874f,
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278 0.63439328f,
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279 0.63676186f,
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280 0.63912444f,
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281 0.64148101f,
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282 0.64383154f,
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283 0.64617601f,
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284 0.64851440f,
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285 0.65084668f,
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286 0.65317284f,
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287 0.65549285f,
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288 0.65780669f,
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289 0.66011434f,
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290 0.66241578f,
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291 0.66471098f,
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292 0.66699992f,
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293 0.66928259f,
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294 0.67155895f,
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295 0.67382900f,
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296 0.67609270f,
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297 0.67835004f,
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298 0.68060100f,
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299 0.68284555f,
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300 0.68508367f,
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301 0.68731534f,
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302 0.68954054f,
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303 0.69175926f,
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304 0.69397146f,
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305 0.69617713f,
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306 0.69837625f,
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307 0.70056879f,
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308 0.70275474f,
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309 0.70493408f,
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310 0.70710678f,
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311 0.70927283f,
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312 0.71143220f,
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313 0.71358487f,
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314 0.71573083f,
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315 0.71787005f,
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316 0.72000251f,
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317 0.72212819f,
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318 0.72424708f,
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319 0.72635916f,
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320 0.72846439f,
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321 0.73056277f,
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322 0.73265427f,
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323 0.73473888f,
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324 0.73681657f,
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325 0.73888732f,
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326 0.74095113f,
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327 0.74300795f,
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328 0.74505779f,
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329 0.74710061f,
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330 0.74913639f,
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331 0.75116513f,
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332 0.75318680f,
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333 0.75520138f,
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334 0.75720885f,
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335 0.75920919f,
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336 0.76120239f,
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337 0.76318842f,
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338 0.76516727f,
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339 0.76713891f,
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340 0.76910334f,
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341 0.77106052f,
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342 0.77301045f,
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343 0.77495311f,
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344 0.77688847f,
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345 0.77881651f,
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346 0.78073723f,
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347 0.78265060f,
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348 0.78455660f,
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349 0.78645521f,
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350 0.78834643f,
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351 0.79023022f,
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352 0.79210658f,
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353 0.79397548f,
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354 0.79583690f,
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355 0.79769084f,
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356 0.79953727f,
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357 0.80137617f,
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358 0.80320753f,
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359 0.80503133f,
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360 0.80684755f,
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361 0.80865618f,
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362 0.81045720f,
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363 0.81225059f,
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364 0.81403633f,
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365 0.81581441f,
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366 0.81758481f,
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367 0.81934752f,
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368 0.82110251f,
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369 0.82284978f,
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370 0.82458930f,
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371 0.82632106f,
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372 0.82804505f,
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373 0.82976123f,
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374 0.83146961f,
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375 0.83317016f,
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376 0.83486287f,
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377 0.83654773f,
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378 0.83822471f,
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379 0.83989379f,
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380 0.84155498f,
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381 0.84320824f,
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382 0.84485357f,
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383 0.84649094f,
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384 0.84812034f,
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385 0.84974177f,
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386 0.85135519f,
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387 0.85296060f,
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388 0.85455799f,
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389 0.85614733f,
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390 0.85772861f,
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391 0.85930182f,
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392 0.86086694f,
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393 0.86242396f,
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394 0.86397286f,
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395 0.86551362f,
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396 0.86704625f,
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397 0.86857071f,
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398 0.87008699f,
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399 0.87159509f,
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400 0.87309498f,
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401 0.87458665f,
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402 0.87607009f,
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403 0.87754529f,
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404 0.87901223f,
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405 0.88047089f,
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406 0.88192126f,
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407 0.88336334f,
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408 0.88479710f,
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409 0.88622253f,
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410 0.88763962f,
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411 0.88904836f,
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412 0.89044872f,
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413 0.89184071f,
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414 0.89322430f,
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415 0.89459949f,
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416 0.89596625f,
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417 0.89732458f,
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418 0.89867447f,
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419 0.90001589f,
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420 0.90134885f,
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421 0.90267332f,
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1911 -0.55301671f,
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1914 -0.54532499f,
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1918 -0.53499762f,
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1920 -0.52980362f,
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1930 -0.50353838f,
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1932 -0.49822767f,
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1933 -0.49556526f,
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1934 -0.49289819f,
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1935 -0.49022648f,
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1936 -0.48755016f,
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1937 -0.48486925f,
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1938 -0.48218377f,
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1939 -0.47949376f,
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1940 -0.47679923f,
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1941 -0.47410021f,
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1942 -0.47139674f,
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1943 -0.46868882f,
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1944 -0.46597650f,
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1945 -0.46325978f,
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1946 -0.46053871f,
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1947 -0.45781330f,
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1948 -0.45508359f,
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1949 -0.45234959f,
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1950 -0.44961133f,
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1951 -0.44686884f,
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1952 -0.44412214f,
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1953 -0.44137127f,
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1954 -0.43861624f,
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1955 -0.43585708f,
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1956 -0.43309382f,
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1957 -0.43032648f,
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1958 -0.42755509f,
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1959 -0.42477968f,
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1960 -0.42200027f,
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1961 -0.41921689f,
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1963 -0.41363831f,
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1964 -0.41084317f,
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1965 -0.40804416f,
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1966 -0.40524131f,
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1967 -0.40243465f,
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1968 -0.39962420f,
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1969 -0.39680999f,
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1970 -0.39399204f,
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1971 -0.39117038f,
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1972 -0.38834505f,
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1973 -0.38551605f,
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1974 -0.38268343f,
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1975 -0.37984721f,
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1976 -0.37700741f,
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1977 -0.37416406f,
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1978 -0.37131719f,
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1979 -0.36846683f,
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1980 -0.36561300f,
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1981 -0.36275572f,
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1982 -0.35989504f,
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1983 -0.35703096f,
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1984 -0.35416353f,
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1985 -0.35129276f,
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1986 -0.34841868f,
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1987 -0.34554132f,
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1988 -0.34266072f,
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1989 -0.33977688f,
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1990 -0.33688985f,
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1991 -0.33399965f,
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1992 -0.33110631f,
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1993 -0.32820984f,
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1994 -0.32531029f,
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1995 -0.32240768f,
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1996 -0.31950203f,
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1997 -0.31659338f,
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1998 -0.31368174f,
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1999 -0.31076715f,
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2000 -0.30784964f,
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2001 -0.30492923f,
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|
|
2002 -0.30200595f,
|
|
|
2003 -0.29907983f,
|
|
|
2004 -0.29615089f,
|
|
|
2005 -0.29321916f,
|
|
|
2006 -0.29028468f,
|
|
|
2007 -0.28734746f,
|
|
|
2008 -0.28440754f,
|
|
|
2009 -0.28146494f,
|
|
|
2010 -0.27851969f,
|
|
|
2011 -0.27557182f,
|
|
|
2012 -0.27262136f,
|
|
|
2013 -0.26966833f,
|
|
|
2014 -0.26671276f,
|
|
|
2015 -0.26375468f,
|
|
|
2016 -0.26079412f,
|
|
|
2017 -0.25783110f,
|
|
|
2018 -0.25486566f,
|
|
|
2019 -0.25189782f,
|
|
|
2020 -0.24892761f,
|
|
|
2021 -0.24595505f,
|
|
|
2022 -0.24298018f,
|
|
|
2023 -0.24000302f,
|
|
|
2024 -0.23702361f,
|
|
|
2025 -0.23404196f,
|
|
|
2026 -0.23105811f,
|
|
|
2027 -0.22807208f,
|
|
|
2028 -0.22508391f,
|
|
|
2029 -0.22209362f,
|
|
|
2030 -0.21910124f,
|
|
|
2031 -0.21610680f,
|
|
|
2032 -0.21311032f,
|
|
|
2033 -0.21011184f,
|
|
|
2034 -0.20711138f,
|
|
|
2035 -0.20410897f,
|
|
|
2036 -0.20110463f,
|
|
|
2037 -0.19809841f,
|
|
|
2038 -0.19509032f,
|
|
|
2039 -0.19208040f,
|
|
|
2040 -0.18906866f,
|
|
|
2041 -0.18605515f,
|
|
|
2042 -0.18303989f,
|
|
|
2043 -0.18002290f,
|
|
|
2044 -0.17700422f,
|
|
|
2045 -0.17398387f,
|
|
|
2046 -0.17096189f,
|
|
|
2047 -0.16793829f,
|
|
|
2048 -0.16491312f,
|
|
|
2049 -0.16188639f,
|
|
|
2050 -0.15885814f,
|
|
|
2051 -0.15582840f,
|
|
|
2052 -0.15279719f,
|
|
|
2053 -0.14976453f,
|
|
|
2054 -0.14673047f,
|
|
|
2055 -0.14369503f,
|
|
|
2056 -0.14065824f,
|
|
|
2057 -0.13762012f,
|
|
|
2058 -0.13458071f,
|
|
|
2059 -0.13154003f,
|
|
|
2060 -0.12849811f,
|
|
|
2061 -0.12545498f,
|
|
|
2062 -0.12241068f,
|
|
|
2063 -0.11936521f,
|
|
|
2064 -0.11631863f,
|
|
|
2065 -0.11327095f,
|
|
|
2066 -0.11022221f,
|
|
|
2067 -0.10717242f,
|
|
|
2068 -0.10412163f,
|
|
|
2069 -0.10106986f,
|
|
|
2070 -0.09801714f,
|
|
|
2071 -0.09496350f,
|
|
|
2072 -0.09190896f,
|
|
|
2073 -0.08885355f,
|
|
|
2074 -0.08579731f,
|
|
|
2075 -0.08274026f,
|
|
|
2076 -0.07968244f,
|
|
|
2077 -0.07662386f,
|
|
|
2078 -0.07356456f,
|
|
|
2079 -0.07050457f,
|
|
|
2080 -0.06744392f,
|
|
|
2081 -0.06438263f,
|
|
|
2082 -0.06132074f,
|
|
|
2083 -0.05825826f,
|
|
|
2084 -0.05519524f,
|
|
|
2085 -0.05213170f,
|
|
|
2086 -0.04906767f,
|
|
|
2087 -0.04600318f,
|
|
|
2088 -0.04293826f,
|
|
|
2089 -0.03987293f,
|
|
|
2090 -0.03680722f,
|
|
|
2091 -0.03374117f,
|
|
|
2092 -0.03067480f,
|
|
|
2093 -0.02760815f,
|
|
|
2094 -0.02454123f,
|
|
|
2095 -0.02147408f,
|
|
|
2096 -0.01840673f,
|
|
|
2097 -0.01533921f,
|
|
|
2098 -0.01227154f,
|
|
|
2099 -0.00920375f,
|
|
|
2100 -0.00613588f,
|
|
|
2101 -0.00306796f
|
|
|
2102 };
|
|
|
2103
|
|
|
2104 int32_t dds_phase_ratef(float frequency)
|
|
|
2105 {
|
|
|
2106 return (int32_t) (frequency*65536.0f*65536.0f/SAMPLE_RATE);
|
|
|
2107 }
|
|
|
2108 /*- End of function --------------------------------------------------------*/
|
|
|
2109
|
|
|
2110 float dds_frequencyf(int32_t phase_rate)
|
|
|
2111 {
|
|
|
2112 return (float) phase_rate*(float) SAMPLE_RATE/(65536.0f*65536.0f);
|
|
|
2113 }
|
|
|
2114 /*- End of function --------------------------------------------------------*/
|
|
|
2115
|
|
|
2116 float dds_scaling_dbm0f(float level)
|
|
|
2117 {
|
|
|
2118 return powf(10.0f, (level - DBM0_MAX_POWER)/20.0f)*(32767.0f*1.414214f);
|
|
|
2119 }
|
|
|
2120 /*- End of function --------------------------------------------------------*/
|
|
|
2121
|
|
|
2122 float dds_scaling_dbovf(float level)
|
|
|
2123 {
|
|
|
2124 return powf(10.0f, (level + 3.02f)/20.0f)*(32767.0f*1.414214f);
|
|
|
2125 }
|
|
|
2126 /*- End of function --------------------------------------------------------*/
|
|
|
2127
|
|
|
2128 float ddsf(uint32_t *phase_acc, int32_t phase_rate)
|
|
|
2129 {
|
|
|
2130 float amp;
|
|
|
2131
|
|
|
2132 amp = sine_table[*phase_acc >> (32 - SLENK)];
|
|
|
2133 *phase_acc += phase_rate;
|
|
|
2134 return amp;
|
|
|
2135 }
|
|
|
2136 /*- End of function --------------------------------------------------------*/
|
|
|
2137
|
|
|
2138 float dds_modf(uint32_t *phase_acc, int32_t phase_rate, float scale, int32_t phase)
|
|
|
2139 {
|
|
|
2140 float amp;
|
|
|
2141
|
|
|
2142 amp = sine_table[*(phase_acc + phase) >> (32 - SLENK)]*scale;
|
|
|
2143 *phase_acc += phase_rate;
|
|
|
2144 return amp;
|
|
|
2145 }
|
|
|
2146 /*- End of function --------------------------------------------------------*/
|
|
|
2147
|
|
|
2148 /* This is a simple direct digital synthesis (DDS) function to generate complex
|
|
|
2149 sine waves. */
|
|
|
2150 complexf_t dds_complexf(uint32_t *phase_acc, int32_t phase_rate)
|
|
|
2151 {
|
|
|
2152 complexf_t amp;
|
|
|
2153
|
|
|
2154 amp = complex_setf(sine_table[(*phase_acc + (1 << 30)) >> (32 - SLENK)],
|
|
|
2155 sine_table[*phase_acc >> (32 - SLENK)]);
|
|
|
2156 *phase_acc += phase_rate;
|
|
|
2157 return amp;
|
|
|
2158 }
|
|
|
2159 /*- End of function --------------------------------------------------------*/
|
|
|
2160
|
|
|
2161 /* This is a simple direct digital synthesis (DDS) function to generate complex
|
|
|
2162 sine waves. */
|
|
|
2163 complexf_t dds_complex_modf(uint32_t *phase_acc, int32_t phase_rate, float scale, int32_t phase)
|
|
|
2164 {
|
|
|
2165 complexf_t amp;
|
|
|
2166
|
|
|
2167 amp = complex_setf(sine_table[(*phase_acc + phase + (1 << 30)) >> (32 - SLENK)]*scale,
|
|
|
2168 sine_table[(*phase_acc + phase) >> (32 - SLENK)]*scale);
|
|
|
2169 *phase_acc += phase_rate;
|
|
|
2170 return amp;
|
|
|
2171 }
|
|
|
2172 /*- End of function --------------------------------------------------------*/
|
|
|
2173 /*- End of file ------------------------------------------------------------*/
|
