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hilbert.h
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hilbert.h
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// Number of Filter Coefficients
#define HILBERT_SIZE 80
// 90 degree and zero degree.
// May be slightly better than 45 -45 but
// both have issue with balance for very low frequencies.
// Which is perhaps one reason why designs use an audio IF frequency.
const int16_t h90p[HILBERT_SIZE] = {
(int16_t)( 32768 * 0.001398896358538728 ),
(int16_t)( 32768 * 0.001029642328444251 ),
(int16_t)( 32768 * 0.001867566406403453 ),
(int16_t)( 32768 * 0.001334209710832998 ),
(int16_t)( 32768 * 0.002430393552873432 ),
(int16_t)( 32768 * 0.001698276674029299 ),
(int16_t)( 32768 * 0.003101393101609515 ),
(int16_t)( 32768 * 0.002134902672695333 ),
(int16_t)( 32768 * 0.003896381516691115 ),
(int16_t)( 32768 * 0.002660543716795016 ),
(int16_t)( 32768 * 0.004833455076017315 ),
(int16_t)( 32768 * 0.003295911123124903 ),
(int16_t)( 32768 * 0.005933785403306505 ),
(int16_t)( 32768 * 0.004067171902306407 ),
(int16_t)( 32768 * 0.007222925955659421 ),
(int16_t)( 32768 * 0.005007719092875527 ),
(int16_t)( 32768 * 0.008732946009309784 ),
(int16_t)( 32768 * 0.006160908267829816 ),
(int16_t)( 32768 * 0.010505931561735694 ),
(int16_t)( 32768 * 0.007584468146080366 ),
(int16_t)( 32768 * 0.012599819946199622 ),
(int16_t)( 32768 * 0.009357903670691651 ),
(int16_t)( 32768 * 0.015098401989357814 ),
(int16_t)( 32768 * 0.011595481022030226 ),
(int16_t)( 32768 * 0.018129201238547447 ),
(int16_t)( 32768 * 0.014470227498402342 ),
(int16_t)( 32768 * 0.021897320324684760 ),
(int16_t)( 32768 * 0.018261311887685469 ),
(int16_t)( 32768 * 0.026754588031071846 ),
(int16_t)( 32768 * 0.023455983828361608 ),
(int16_t)( 32768 * 0.033355897101912217 ),
(int16_t)( 32768 * 0.030995900108654620 ),
(int16_t)( 32768 * 0.043065327879384920 ),
(int16_t)( 32768 * 0.042978730342568598 ),
(int16_t)( 32768 * 0.059247683105943368 ),
(int16_t)( 32768 * 0.065231265002588884 ),
(int16_t)( 32768 * 0.092986841685844715 ),
(int16_t)( 32768 * 0.122233984306217694 ),
(int16_t)( 32768 * 0.214547558386177256 ),
(int16_t)( 32768 * 0.630235428646926166 ),
(int16_t)( 32768 *-0.630235428646666485 ),
(int16_t)( 32768 *-0.214547558386461334 ),
(int16_t)( 32768 *-0.122233984306096957 ),
(int16_t)( 32768 *-0.092986841685953170 ),
(int16_t)( 32768 *-0.065231265002518857 ),
(int16_t)( 32768 *-0.059247683106008628 ),
(int16_t)( 32768 *-0.042978730342518694 ),
(int16_t)( 32768 *-0.043065327879431174 ),
(int16_t)( 32768 *-0.030995900108618649 ),
(int16_t)( 32768 *-0.033355897101947210 ),
(int16_t)( 32768 *-0.023455983828334127 ),
(int16_t)( 32768 *-0.026754588031098057 ),
(int16_t)( 32768 *-0.018261311887661433 ),
(int16_t)( 32768 *-0.021897320324706170 ),
(int16_t)( 32768 *-0.014470227498383054 ),
(int16_t)( 32768 *-0.018129201238566768 ),
(int16_t)( 32768 *-0.011595481022014449 ),
(int16_t)( 32768 *-0.015098401989373953 ),
(int16_t)( 32768 *-0.009357903670677660 ),
(int16_t)( 32768 *-0.012599819946210986 ),
(int16_t)( 32768 *-0.007584468146071024 ),
(int16_t)( 32768 *-0.010505931561744933 ),
(int16_t)( 32768 *-0.006160908267822108 ),
(int16_t)( 32768 *-0.008732946009318530 ),
(int16_t)( 32768 *-0.005007719092867221 ),
(int16_t)( 32768 *-0.007222925955664848 ),
(int16_t)( 32768 *-0.004067171902301198 ),
(int16_t)( 32768 *-0.005933785403311140 ),
(int16_t)( 32768 *-0.003295911123120779 ),
(int16_t)( 32768 *-0.004833455076022795 ),
(int16_t)( 32768 *-0.002660543716790856 ),
(int16_t)( 32768 *-0.003896381516693651 ),
(int16_t)( 32768 *-0.002134902672693035 ),
(int16_t)( 32768 *-0.003101393101611906 ),
(int16_t)( 32768 *-0.001698276674027032 ),
(int16_t)( 32768 *-0.002430393552876526 ),
(int16_t)( 32768 *-0.001334209710831155 ),
(int16_t)( 32768 *-0.001867566406403992 ),
(int16_t)( 32768 *-0.001029642328443143 ),
(int16_t)( 32768 *-0.001398896358539751 )
};
/**********
// try just a simple delay for the 0 degree phase shift
// didn't work well
const int16_t h00m[HILBERT_SIZE] = {
0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,16384,
16384,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,
};
*******/
const int16_t h00m[HILBERT_SIZE] = {
(int16_t)( 32768 * -0.001398896358538917 ),
(int16_t)( 32768 * 0.001029642328443078 ),
(int16_t)( 32768 * -0.001867566406403398 ),
(int16_t)( 32768 * 0.001334209710832815 ),
(int16_t)( 32768 * -0.002430393552875054 ),
(int16_t)( 32768 * 0.001698276674027472 ),
(int16_t)( 32768 * -0.003101393101610378 ),
(int16_t)( 32768 * 0.002134902672693830 ),
(int16_t)( 32768 * -0.003896381516692196 ),
(int16_t)( 32768 * 0.002660543716793655 ),
(int16_t)( 32768 * -0.004833455076020420 ),
(int16_t)( 32768 * 0.003295911123122163 ),
(int16_t)( 32768 * -0.005933785403308210 ),
(int16_t)( 32768 * 0.004067171902303351 ),
(int16_t)( 32768 * -0.007222925955662964 ),
(int16_t)( 32768 * 0.005007719092872725 ),
(int16_t)( 32768 * -0.008732946009313861 ),
(int16_t)( 32768 * 0.006160908267825295 ),
(int16_t)( 32768 * -0.010505931561739882 ),
(int16_t)( 32768 * 0.007584468146076041 ),
(int16_t)( 32768 * -0.012599819946207074 ),
(int16_t)( 32768 * 0.009357903670686315 ),
(int16_t)( 32768 * -0.015098401989365755 ),
(int16_t)( 32768 * 0.011595481022021839 ),
(int16_t)( 32768 * -0.018129201238557123 ),
(int16_t)( 32768 * 0.014470227498392644 ),
(int16_t)( 32768 * -0.021897320324696479 ),
(int16_t)( 32768 * 0.018261311887673409 ),
(int16_t)( 32768 * -0.026754588031083416 ),
(int16_t)( 32768 * 0.023455983828347581 ),
(int16_t)( 32768 * -0.033355897101930002 ),
(int16_t)( 32768 * 0.030995900108637352 ),
(int16_t)( 32768 * -0.043065327879408810 ),
(int16_t)( 32768 * 0.042978730342542335 ),
(int16_t)( 32768 * -0.059247683105973378 ),
(int16_t)( 32768 * 0.065231265002551803 ),
(int16_t)( 32768 * -0.092986841685896077 ),
(int16_t)( 32768 * 0.122233984306149845 ),
(int16_t)( 32768 * -0.214547558386295911 ),
(int16_t)( 32768 * 0.630235428646570894 ),
(int16_t)( 32768 * 0.630235428647021534 ),
(int16_t)( 32768 * -0.214547558386342652 ),
(int16_t)( 32768 * 0.122233984306164722 ),
(int16_t)( 32768 * -0.092986841685901808 ),
(int16_t)( 32768 * 0.065231265002555897 ),
(int16_t)( 32768 * -0.059247683105978624 ),
(int16_t)( 32768 * 0.042978730342544930 ),
(int16_t)( 32768 * -0.043065327879407297 ),
(int16_t)( 32768 * 0.030995900108635892 ),
(int16_t)( 32768 * -0.033355897101929447 ),
(int16_t)( 32768 * 0.023455983828348129 ),
(int16_t)( 32768 * -0.026754588031086490 ),
(int16_t)( 32768 * 0.018261311887673486 ),
(int16_t)( 32768 * -0.021897320324694464 ),
(int16_t)( 32768 * 0.014470227498392737 ),
(int16_t)( 32768 * -0.018129201238557109 ),
(int16_t)( 32768 * 0.011595481022022829 ),
(int16_t)( 32768 * -0.015098401989366022 ),
(int16_t)( 32768 * 0.009357903670682994 ),
(int16_t)( 32768 * -0.012599819946203546 ),
(int16_t)( 32768 * 0.007584468146075346 ),
(int16_t)( 32768 * -0.010505931561740761 ),
(int16_t)( 32768 * 0.006160908267826627 ),
(int16_t)( 32768 * -0.008732946009314464 ),
(int16_t)( 32768 * 0.005007719092870024 ),
(int16_t)( 32768 * -0.007222925955661316 ),
(int16_t)( 32768 * 0.004067171902304256 ),
(int16_t)( 32768 * -0.005933785403309441 ),
(int16_t)( 32768 * 0.003295911123123521 ),
(int16_t)( 32768 * -0.004833455076019696 ),
(int16_t)( 32768 * 0.002660543716792219 ),
(int16_t)( 32768 * -0.003896381516692577 ),
(int16_t)( 32768 * 0.002134902672694540 ),
(int16_t)( 32768 * -0.003101393101611045 ),
(int16_t)( 32768 * 0.001698276674028861 ),
(int16_t)( 32768 * -0.002430393552874908 ),
(int16_t)( 32768 * 0.001334209710831339 ),
(int16_t)( 32768 * -0.001867566406404049 ),
(int16_t)( 32768 * 0.001029642328444318 ),
(int16_t)( 32768 * -0.001398896358539564 )
};
// Iowa Hills Hilbert transform filter coefficients
const int16_t h45p[HILBERT_SIZE] = {
(int16_t)(32768 * 3.652218406676190E-6 ),
(int16_t)(32768 * 0.000015672541208110 ),
(int16_t)(32768 * 0.000035671692418237 ),
(int16_t)(32768 * 0.000077446245967223 ),
(int16_t)(32768 * 0.000112706256475397 ),
(int16_t)(32768 * 0.000173091749740538 ),
(int16_t)(32768 * 0.000310090926216876 ),
(int16_t)(32768 * 0.000293760424709435 ),
(int16_t)(32768 * 0.000529016181445533 ),
(int16_t)(32768 * 0.000744779450793337 ),
(int16_t)(32768 * 0.000545963296024936 ),
(int16_t)(32768 * 0.001359226413227352 ),
(int16_t)(32768 * 0.001226992743543121 ),
(int16_t)(32768 * 0.001065237424950190 ),
(int16_t)(32768 * 0.002898191709368142 ),
(int16_t)(32768 * 0.001380027174560932 ),
(int16_t)(32768 * 0.002551555708478224 ),
(int16_t)(32768 * 0.004881864038073810 ),
(int16_t)(32768 * 0.001059219964006023 ),
(int16_t)(32768 * 0.006117280105025675 ),
(int16_t)(32768 * 0.006125535596772408 ),
(int16_t)(32768 * 0.001263391741259984 ),
(int16_t)(32768 * 0.012395586132370452 ),
(int16_t)(32768 * 0.004913983261794087 ),
(int16_t)(32768 * 0.004804410407687669 ),
(int16_t)(32768 * 0.020138246273746760 ),
(int16_t)(32768 * 0.000658592616425361 ),
(int16_t)(32768 * 0.015797025332111206 ),
(int16_t)(32768 * 0.025448449278664718 ),
(int16_t)(32768 *-0.003679001666086439 ),
(int16_t)(32768 * 0.037965641162399914 ),
(int16_t)(32768 * 0.022750144436793487 ),
(int16_t)(32768 * 0.000840164788962719 ),
(int16_t)(32768 * 0.074071707535754691 ),
(int16_t)(32768 * 0.006878385638969454 ),
(int16_t)(32768 * 0.035920178705382298 ),
(int16_t)(32768 * 0.136838252260337134 ),
(int16_t)(32768 *-0.031070062224383136 ),
(int16_t)(32768 * 0.243204911267800916 ),
(int16_t)(32768 * 0.679263224846822333 ),
(int16_t)(32768 * 0.143146778639442446 ),
(int16_t)(32768 *-0.337733188451108335 ),
(int16_t)(32768 *-0.054869189579506039 ),
(int16_t)(32768 *-0.016713263519298218 ),
(int16_t)(32768 *-0.112994152360219174 ),
(int16_t)(32768 * 0.003170296324948653 ),
(int16_t)(32768 *-0.035631537216648489 ),
(int16_t)(32768 *-0.050502059078144701 ),
(int16_t)(32768 * 0.006479646627008172 ),
(int16_t)(32768 *-0.036288843586368989 ),
(int16_t)(32768 *-0.019096109936436720 ),
(int16_t)(32768 *-0.000807326008176743 ),
(int16_t)(32768 *-0.027673200205498919 ),
(int16_t)(32768 *-0.004834993428458657 ),
(int16_t)(32768 *-0.007052898721122244 ),
(int16_t)(32768 *-0.016717850711500327 ),
(int16_t)(32768 *-0.000756283008774112 ),
(int16_t)(32768 *-0.008864828280025031 ),
(int16_t)(32768 *-0.008091910491492835 ),
(int16_t)(32768 *-0.001041672585834590 ),
(int16_t)(32768 *-0.007194644530473308 ),
(int16_t)(32768 *-0.003255939422722824 ),
(int16_t)(32768 *-0.001883715074031203 ),
(int16_t)(32768 *-0.004391002878789182 ),
(int16_t)(32768 *-0.001319745508617445 ),
(int16_t)(32768 *-0.001898069523893866 ),
(int16_t)(32768 *-0.002138073934691258 ),
(int16_t)(32768 *-0.000736535394943886 ),
(int16_t)(32768 *-0.001281681701983688 ),
(int16_t)(32768 *-0.000883824096953424 ),
(int16_t)(32768 *-0.000481986587887465 ),
(int16_t)(32768 *-0.000619042274103270 ),
(int16_t)(32768 *-0.000333895847374797 ),
(int16_t)(32768 *-0.000248233361190023 ),
(int16_t)(32768 *-0.000209761930927335 ),
(int16_t)(32768 *-0.000107463215831922 ),
(int16_t)(32768 *-0.000073584350761103 ),
(int16_t)(32768 *-0.000039050038770336 ),
(int16_t)(32768 *-0.000015181211431140 ),
(int16_t)(32768 *-3.688309878062720E-6 )
};
// Iowa Hills Hilbert transform filter coefficients
const int16_t h45m[HILBERT_SIZE] = {
(int16_t)(32768 * -3.688309878064020E-6 ),
(int16_t)(32768 * -0.000015181211431141 ),
(int16_t)(32768 * -0.000039050038770315 ),
(int16_t)(32768 * -0.000073584350761162 ),
(int16_t)(32768 * -0.000107463215831944 ),
(int16_t)(32768 * -0.000209761930927175 ),
(int16_t)(32768 * -0.000248233361190116 ),
(int16_t)(32768 * -0.000333895847374768 ),
(int16_t)(32768 * -0.000619042274103039 ),
(int16_t)(32768 * -0.000481986587887841 ),
(int16_t)(32768 * -0.000883824096953450 ),
(int16_t)(32768 * -0.001281681701983464 ),
(int16_t)(32768 * -0.000736535394943976 ),
(int16_t)(32768 * -0.002138073934691081 ),
(int16_t)(32768 * -0.001898069523894109 ),
(int16_t)(32768 * -0.001319745508617076 ),
(int16_t)(32768 * -0.004391002878789710 ),
(int16_t)(32768 * -0.001883715074031818 ),
(int16_t)(32768 * -0.003255939422720294 ),
(int16_t)(32768 * -0.007194644530475128 ),
(int16_t)(32768 * -0.001041672585834699 ),
(int16_t)(32768 * -0.008091910491488758 ),
(int16_t)(32768 * -0.008864828280030899 ),
(int16_t)(32768 * -0.000756283008771510 ),
(int16_t)(32768 * -0.016717850711495827 ),
(int16_t)(32768 * -0.007052898721131614 ),
(int16_t)(32768 * -0.004834993428449472 ),
(int16_t)(32768 * -0.027673200205499311 ),
(int16_t)(32768 * -0.000807326008187233 ),
(int16_t)(32768 * -0.019096109936419158 ),
(int16_t)(32768 * -0.036288843586380709 ),
(int16_t)(32768 * 0.006479646627006726 ),
(int16_t)(32768 * -0.050502059078121012 ),
(int16_t)(32768 * -0.035631537216679193 ),
(int16_t)(32768 * 0.003170296324972780 ),
(int16_t)(32768 * -0.112994152360201175 ),
(int16_t)(32768 * -0.016713263519355634 ),
(int16_t)(32768 * -0.054869189579401199 ),
(int16_t)(32768 * -0.337733188451106558 ),
(int16_t)(32768 * 0.143146778639154482 ),
(int16_t)(32768 * 0.679263224846818114 ),
(int16_t)(32768 * 0.243204911268011220 ),
(int16_t)(32768 * -0.031070062224413921 ),
(int16_t)(32768 * 0.136838252260313598 ),
(int16_t)(32768 * 0.035920178705436692 ),
(int16_t)(32768 * 0.006878385638937430 ),
(int16_t)(32768 * 0.074071707535762907 ),
(int16_t)(32768 * 0.000840164788980393 ),
(int16_t)(32768 * 0.022750144436771411 ),
(int16_t)(32768 * 0.037965641162415492 ),
(int16_t)(32768 * -0.003679001666087133 ),
(int16_t)(32768 * 0.025448449278654615 ),
(int16_t)(32768 * 0.015797025332124751 ),
(int16_t)(32768 * 0.000658592616418671 ),
(int16_t)(32768 * 0.020138246273745258 ),
(int16_t)(32768 * 0.004804410407695139 ),
(int16_t)(32768 * 0.004913983261787320 ),
(int16_t)(32768 * 0.012395586132372502 ),
(int16_t)(32768 * 0.001263391741263076 ),
(int16_t)(32768 * 0.006125535596768909 ),
(int16_t)(32768 * 0.006117280105027898 ),
(int16_t)(32768 * 0.001059219964006302 ),
(int16_t)(32768 * 0.004881864038072201 ),
(int16_t)(32768 * 0.002551555708478979 ),
(int16_t)(32768 * 0.001380027174560831 ),
(int16_t)(32768 * 0.002898191709368202 ),
(int16_t)(32768 * 0.001065237424950286 ),
(int16_t)(32768 * 0.001226992743543111 ),
(int16_t)(32768 * 0.001359226413227469 ),
(int16_t)(32768 * 0.000545963296024563 ),
(int16_t)(32768 * 0.000744779450793520 ),
(int16_t)(32768 * 0.000529016181445768 ),
(int16_t)(32768 * 0.000293760424709258 ),
(int16_t)(32768 * 0.000310090926216997 ),
(int16_t)(32768 * 0.000173091749740558 ),
(int16_t)(32768 * 0.000112706256475277 ),
(int16_t)(32768 * 0.000077446245967256 ),
(int16_t)(32768 * 0.000035671692418254 ),
(int16_t)(32768 * 0.000015672541208102 ),
(int16_t)(32768 * 3.652218406678040E-6 )
};
// AM detector filter at 12.7k IF freq
const int16_t AM12r7fir[30] = {
(int16_t)( 32768 * 0.001550482626183785 ),
(int16_t)( 32768 * 0.003067248151485474 ),
(int16_t)( 32768 * -0.001703394924168867 ),
(int16_t)( 32768 * 0.001438852006155712 ),
(int16_t)( 32768 * -0.013704463164367490 ),
(int16_t)( 32768 * 0.002342319779150199 ),
(int16_t)( 32768 * 0.032836149022814447 ),
(int16_t)( 32768 * -0.018116171681357755 ),
(int16_t)( 32768 * -0.010922165225960134 ),
(int16_t)( 32768 * -0.020215599070424518 ),
(int16_t)( 32768 * -0.023573767008029177 ),
(int16_t)( 32768 * 0.156325893091597889 ),
(int16_t)( 32768 * -0.043524550291711629 ),
(int16_t)( 32768 * -0.266332552038745729 ),
(int16_t)( 32768 * 0.202280231120463921 ),
(int16_t)( 32768 * 0.202280231120463921 ),
(int16_t)( 32768 * -0.266332552038745729 ),
(int16_t)( 32768 * -0.043524550291711629 ),
(int16_t)( 32768 * 0.156325893091597889 ),
(int16_t)( 32768 * -0.023573767008029177 ),
(int16_t)( 32768 * -0.020215599070424518 ),
(int16_t)( 32768 * -0.010922165225960134 ),
(int16_t)( 32768 * -0.018116171681357755 ),
(int16_t)( 32768 * 0.032836149022814447 ),
(int16_t)( 32768 * 0.002342319779150199 ),
(int16_t)( 32768 * -0.013704463164367490 ),
(int16_t)( 32768 * 0.001438852006155712 ),
(int16_t)( 32768 * -0.001703394924168867 ),
(int16_t)( 32768 * 0.003067248151485474 ),
(int16_t)( 32768 * 0.001550482626183785 )
};