Table 2 Filter coefficients for the proposed LS design in Example 3.
| Â | m | ||||
|---|---|---|---|---|---|
n | 1 | 2 | 3 | 4 | 5 |
1 | −0.995911478379215 | 0.003037237182070 | 0.000674977600074 | 0.002203931411874 | −0.001547094931521 |
2 | 0.491860988660958 | 0.489906840770088 | −0.004126440722118 | −0.004968604465653 | −0.000451455145871 |
3 | −0.321238701261896 | −0.480959682281854 | −0.155527315538002 | 0.009336078160601 | 0.002875779605052 |
4 | 0.234086131719820 | 0.429265271544100 | 0.228966726293102 | 0.025840785057596 | −0.005934120518170 |
5 | −0.180442437563948 | −0.376964115092541 | −0.258474768641364 | −0.058885621354534 | 0.001432724569099 |
6 | 0.143669792117880 | 0.329957770218435 | 0.265616427088872 | 0.083096234713679 | 0.005227747340939 |
7 | −0.116657162172812 | −0.288508807455575 | −0.260564239814727 | −0.098781179155452 | −0.011492189916140 |
8 | 0.095861039125088 | 0.251939854553747 | 0.248549917352264 | 0.107475439484688 | 0.016441996382781 |
9 | −0.079319256800620 | −0.219538064590932 | −0.232515100469996 | −0.110719224055686 | −0.019869040384123 |
10 | 0.065857103009291 | 0.190720077751894 | 0.214249655962206 | 0.109824100478193 | 0.021858526125015 |
11 | −0.054726435065962 | −0.165033191450544 | −0.194914864048044 | −0.105865858472555 | −0.022611233785938 |
12 | 0.045425714251763 | 0.142128041436134 | 0.175304729171998 | 0.099719296033186 | 0.022361719532284 |
13 | −0.037603022298150 | −0.121728204225754 | −0.155979945905486 | −0.092096431614038 | −0.021344479562458 |
14 | 0.031001228444685 | 0.103608784007633 | 0.137345198030118 | 0.083574882334005 | 0.019774852983403 |
15 | −0.025425012312619 | −0.087578010616568 | −0.119690472293712 | −0.074621308011672 | −0.017844113508204 |
16 | 0.020720915083929 | 0.073467158589459 | 0.103220353275063 | 0.065607022593667 | 0.015713946630399 |
17 | −0.016764317587889 | −0.061120833690438 | −0.088069015325893 | −0.056822176308913 | −0.013518649356740 |
18 | 0.013451438220377 | 0.050393631010479 | 0.074315411373739 | 0.048485405849704 | 0.011363357432515 |
19 | −0.010693672377723 | −0.041145191376987 | −0.061990029855892 | −0.040754079903763 | −0.009328571849153 |
20 | 0.008414281412575 | 0.033240476434287 | 0.051085766424762 | 0.033731771771784 | 0.007469846563140 |
21 | −0.006545751741101 | −0.026547275109895 | −0.041561893474693 | −0.027476917314175 | −0.005823266602704 |
22 | 0.005028471552094 | 0.020938283213411 | 0.033353508964552 | 0.022009510808459 | 0.004405809839568 |
23 | −0.003809384590832 | −0.016289718620921 | −0.026374265528517 | −0.017318832133697 | −0.003221101051906 |
24 | 0.002841516201697 | 0.012484128343807 | 0.020525052306191 | 0.013369584615560 | 0.002259936792143 |
25 | −0.002083164017217 | −0.009409316711960 | −0.015695742339824 | −0.010108579318228 | −0.001505805273695 |
26 | 0.001497755497971 | 0.006961232471637 | 0.011773041636065 | 0.007470070929259 | 0.000935170532813 |
27 | −0.001053228383405 | −0.005042751228794 | −0.008641133167121 | −0.005381083473594 | −0.000522366521324 |
28 | 0.000721982433284 | 0.003566279107085 | 0.006188479311859 | 0.003765621798479 | 0.000239360156968 |
29 | −0.000480297868477 | −0.002452163386710 | −0.004307224739879 | −0.002548399099865 | −0.000059778977985 |
30 | 0.000308285023293 | 0.001630854379561 | 0.002898818696283 | 0.001657749575799 | −0.000041970396936 |
31 | −0.000189289826257 | −0.001040887457275 | −0.001872166300857 | −0.001027714173915 | 0.000087596983292 |
32 | 0.000109818709357 | 0.000630593764138 | 0.001148101727283 | 0.000599713352933 | −0.000096409825026 |
33 | −0.000058932273691 | −0.000355717936032 | −0.000656467669958 | −0.000323254739076 | 0.000082969883834 |
34 | 0.000028159894437 | 0.000180788324236 | 0.000339826063819 | 0.000157105923634 | −0.000058660087578 |
35 | −0.000010912672360 | −0.000076734250069 | −0.000151603214037 | −0.000073350022415 | 0.000026749510599 |