Research Article
Minimum Phase Property of Chebyshev-Sharpened Cosine Filters
Table 6
First half of the symmetric impulse response of the filter of method [
3], referred to high rate, in Example
3.
| | | | | | |
| 1 | 0.000000000000001 | 53 | 0.000015313628992 | 105 | 0.003067434040211 | 2 | 0.000000000000009 | 54 | 0.000017891039557 | 106 | 0.003254277926132 | 3 | 0.000000000000049 | 55 | 0.000020842073902 | 107 | 0.003447970844412 | 4 | 0.000000000000195 | 56 | 0.000024211829441 | 108 | 0.003648431922869 | 5 | 0.000000000000635 | 57 | 0.000028049632732 | 109 | 0.003855552947449 | 6 | 0.000000000001778 | 58 | 0.000032409292032 | 110 | 0.004069197518604 | 7 | 0.000000000004445 | 59 | 0.000037349349356 | 111 | 0.004289200321715 | 8 | 0.000000000010161 | 60 | 0.000042933330064 | 112 | 0.004515366520934 | 9 | 0.000000000021592 | 61 | 0.000049229987809 | 113 | 0.004747471285302 | 10 | 0.000000000043183 | 62 | 0.000056313542416 | 114 | 0.004985259455488 | 11 | 0.000000000082048 | 63 | 0.000064263908115 | 115 | 0.005228445358849 | 12 | 0.000000000149178 | 64 | 0.000073166909260 | 116 | 0.005476712779839 | 13 | 0.000000000261062 | 65 | 0.000083114480507 | 117 | 0.005729715091984 | 14 | 0.000000000441798 | 66 | 0.000094204848246 | 118 | 0.005987075556853 | 15 | 0.000000000725811 | 67 | 0.000106542689959 | 119 | 0.006248387794461 | 16 | 0.000000001161297 | 68 | 0.000120239268071 | 120 | 0.006513216428630 | 17 | 0.000000001814526 | 69 | 0.000135412534785 | 121 | 0.006781097909681 | 18 | 0.000000002775158 | 70 | 0.000152187204385 | 122 | 0.007051541515750 | 19 | 0.000000004162737 | 71 | 0.000170694789450 | 123 | 0.007324030532772 | 20 | 0.000000006134560 | 72 | 0.000191073597477 | 124 | 0.007598023611877 | 21 | 0.000000008895111 | 73 | 0.000213468684471 | 125 | 0.007872956301611 | 22 | 0.000000012707302 | 74 | 0.000238031762123 | 126 | 0.008148242750906 | 23 | 0.000000017905744 | 75 | 0.000264921055368 | 127 | 0.008423277577236 | 24 | 0.000000024912339 | 76 | 0.000294301107232 | 128 | 0.008697437892806 | 25 | 0.000000034254466 | 77 | 0.000326342528076 | 129 | 0.008970085480113 | 26 | 0.000000046586074 | 78 | 0.000361221686589 | 130 | 0.009240569106890 | 27 | 0.000000062712022 | 79 | 0.000399120340084 | 131 | 0.009508226969148 | 28 | 0.000000083616030 | 80 | 0.000440225201999 | 132 | 0.009772389249925 | 29 | 0.000000110492611 | 81 | 0.000484727444753 | 133 | 0.010032380780283 | 30 | 0.000000144783421 | 82 | 0.000532822136527 | 134 | 0.010287523788204 | 31 | 0.000000188218447 | 83 | 0.000584707610845 | 135 | 0.010537140720208 | 32 | 0.000000242862512 | 84 | 0.000640584768306 | 136 | 0.010780557119830 | 33 | 0.000000311167585 | 85 | 0.000700656310233 | 137 | 0.011017104546500 | 34 | 0.000000396031394 | 86 | 0.000765125904472 | 138 | 0.011246123517914 | 35 | 0.000000500862858 | 87 | 0.000834197284103 | 139 | 0.011466966458595 | 36 | 0.000000629654824 | 88 | 0.000908073280357 | 140 | 0.011679000637130 | 37 | 0.000000787064622 | 89 | 0.000986954791600 | 141 | 0.011881611074397 | 38 | 0.000000978502888 | 90 | 0.001071039690856 | 142 | 0.012074203405099 | 39 | 0.000001210231111 | 91 | 0.001160521674976 | 143 | 0.012256206674994 | 40 | 0.000001489468318 | 92 | 0.001255589059213 | 144 | 0.012427076056412 | 41 | 0.000001824507242 | 93 | 0.001356423521699 | 145 | 0.012586295464958 | 42 | 0.000002224840312 | 94 | 0.001463198803009 | 146 | 0.012733380060741 | 43 | 0.000002701295694 | 95 | 0.001576079366785 | 147 | 0.012867878617966 | 44 | 0.000003266183590 | 96 | 0.001695219028193 | 148 | 0.012989375747416 | 45 | 0.000003933452897 | 97 | 0.001820759557685 | 149 | 0.013097493957082 | 46 | 0.000004718858246 | 98 | 0.001952829268212 | 150 | 0.013191895537066 | 47 | 0.000005640137379 | 99 | 0.002091541594584 | 151 | 0.013272284255899 | 48 | 0.000006717198673 | 100 | 0.002236993674174 | 152 | 0.013338406856462 | 49 | 0.000007972318561 | 101 | 0.002389264938603 | 153 | 0.013390054340938 | 50 | 0.000009430348458 | 102 | 0.002548415726373 | 154 | 0.013427063035536 | 51 | 0.000011118930675 | 103 | 0.002714485926685 | 155 | 0.013449315427145 | 52 | 0.000013068722691 | 104 | 0.002887493664900 | 156 | 0.013456740765633 |
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