Research Article
Minimum Phase Property of Chebyshev-Sharpened Cosine Filters
Table 7
First half of the symmetric impulse response of the proposed filter, referred to high rate, in Example
3.
| | | | | | |
| 1 | 0.000000000132290 | 41 | 0.000200623662253 | 81 | 0.005950250387700 | 2 | 0.000000000793741 | 42 | 0.000227922965264 | 82 | 0.006248059555550 | 3 | 0.000000002778093 | 43 | 0.000258185937789 | 83 | 0.006551124134355 | 4 | 0.000000007408248 | 44 | 0.000291642986915 | 84 | 0.006858858787878 | 5 | 0.000000016668557 | 45 | 0.000328534155745 | 85 | 0.007170639614659 | 6 | 0.000000033337115 | 46 | 0.000369109128687 | 86 | 0.007485806476325 | 7 | 0.000000061118044 | 47 | 0.000413627236743 | 87 | 0.007803665325892 | 8 | 0.000000104773790 | 48 | 0.000462357462807 | 88 | 0.008123490536077 | 9 | 0.000000170257408 | 49 | 0.000515576579015 | 89 | 0.008444527227601 | 10 | 0.000000264844857 | 50 | 0.000573567284102 | 90 | 0.008765993597494 | 11 | 0.000000397267286 | 51 | 0.000636616340754 | 91 | 0.009087083247406 | 12 | 0.000000577843325 | 52 | 0.000705012712966 | 92 | 0.009406967511909 | 13 | 0.000000818611377 | 53 | 0.000779045703398 | 93 | 0.009724797786806 | 14 | 0.000001133461906 | 54 | 0.000859003090723 | 94 | 0.010039707857438 | 15 | 0.000001538269730 | 55 | 0.000945169266991 | 95 | 0.010350816226988 | 16 | 0.000002051026306 | 56 | 0.001037823374976 | 96 | 0.010657228444788 | 17 | 0.000002692305398 | 57 | 0.001137237445536 | 97 | 0.010958041789391 | 18 | 0.000003485728733 | 58 | 0.001243674534966 | 98 | 0.011252349951643 | 19 | 0.000004458431662 | 59 | 0.001357386862351 | 99 | 0.011539247717751 | 20 | 0.000005641528829 | 60 | 0.001478613946926 | 100 | 0.011817835652354 | 21 | 0.000007070579820 | 61 | 0.001607580745423 | 101 | 0.012087224781598 | 22 | 0.000008786054836 | 62 | 0.001744495789436 | 102 | 0.012346541276202 | 23 | 0.000010833800347 | 63 | 0.001889549322765 | 103 | 0.012594931134531 | 24 | 0.000013265504756 | 64 | 0.002042911438779 | 104 | 0.012831564865668 | 25 | 0.000016139164059 | 65 | 0.002204730201894 | 105 | 0.013055642172483 | 26 | 0.000019519547509 | 66 | 0.002375129769048 | 106 | 0.013266396634704 | 27 | 0.000023478663272 | 67 | 0.002554208511190 | 107 | 0.013463100391990 | 28 | 0.000028096224097 | 68 | 0.002742037134753 | 108 | 0.013645068827001 | 29 | 0.000033460112966 | 69 | 0.002938656803136 | 109 | 0.013811665248464 | 30 | 0.000039666848765 | 70 | 0.003144077258185 | 110 | 0.013962305574255 | 31 | 0.000046822051941 | 71 | 0.003358274941671 | 111 | 0.014096463014456 | 32 | 0.000055040910163 | 72 | 0.003581191116775 | 112 | 0.014213672754439 | 33 | 0.000064448183614 | 73 | 0.003812729989559 | 113 | 0.014313531954857 | 34 | 0.000075178210285 | 74 | 0.004052756830457 | 114 | 0.014395699751648 | 35 | 0.000087374911263 | 75 | 0.004301096095746 | 115 | 0.014459897256033 | 36 | 0.000101191796024 | 76 | 0.004557529549030 | 116 | 0.014505907554518 | 37 | 0.000116791967726 | 77 | 0.004821794382720 | 117 | 0.014533575708893 | 38 | 0.000134348128499 | 78 | 0.005093581339514 | 118 | 0.014542808756232 | 39 | 0.000154042584737 | 79 | 0.005372532833876 | | | 40 | 0.000176067252389 | 80 | 0.005658241073516 | | |
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