A New Method for Least-Squares and Minimax Group-Delay Error Design of Allpass Variable Fractional-Delay Digital Filters

Chan, Cheng-Han; Pei, Soo-Chang; Shyu, Jong-Jy

doi:10.1155/2010/976913

EURASIP Journal on Advances in Signal Processing

Table 3 Filter coefficients for the proposed minimax design in Example 3.

From: A New Method for Least-Squares and Minimax Group-Delay Error Design of Allpass Variable Fractional-Delay Digital Filters

	m
n	1	2	3	4	5
1	−0.995993596236449	0.002951361938129	0.000056522430938	0.003227364563976	−0.002459241277563
2	0.492019060719535	0.490165494401252	−0.002681420024658	−0.006345896805414	−0.000444700949259
3	−0.321471225422751	−0.481418973949900	−0.157782729637916	0.010673985821541	0.003558502797986
4	0.234388948779710	0.429936634960839	0.232014003186862	0.024803935644968	−0.007082100578430
5	−0.180809553898889	−0.377848777076039	−0.262282154813875	−0.058330113715328	0.002858896290434
6	0.144093799282764	0.331049886098540	0.270138023365234	0.083140840476517	0.003671971963968
7	−0.117129820320514	−0.289799197810240	−0.265745946995025	−0.099497954673552	−0.009920842069164
8	0.096372854062878	0.253409909828576	0.254315329105907	0.108894154915106	0.014947469673871
9	−0.079860248869537	−0.221163954074996	−0.238774548835977	−0.112836471202399	−0.018523661245126
10	0.066417235371802	0.192475127776987	0.220905131511245	0.112605063283127	0.020710959749977
11	−0.055295700680418	−0.166886921064048	−0.201858125775743	−0.109247481340844	−0.021690925658959
12	0.045994562958711	0.144048641408887	0.182424468016734	0.103618709513285	0.021681689765273
13	−0.038162626126081	−0.123683810542076	−0.163165397984585	−0.096416215678346	−0.020903696245568
14	0.031543613480551	0.105568113889007	0.144488637747372	0.088206732231356	0.019558989262805
15	−0.025943254665904	−0.089511445430816	−0.126690976298732	−0.079454047897343	−0.017831187066804
16	0.021209234821121	0.075347332574665	0.109985232980534	0.070527891068195	0.015873812332757
17	−0.017218205011616	−0.062923918561836	−0.094518367293347	−0.061725532030323	−0.013818324456679
18	0.013867583703075	0.052099069080072	0.080381481983181	0.053273169499334	0.011767529430927
19	−0.011069999914064	−0.042736331042533	−0.067618950223505	−0.045340098661654	−0.009802870961721
20	0.008749913929641	0.034705233910870	0.056239697296178	0.038045151627557	0.007982131561675
21	−0.006840717660722	−0.027876032814163	−0.046213102316074	−0.031459203715713	−0.006345583922439
22	0.005284001340328	0.022127902740351	0.037494541869108	0.025622074058447	0.004913569954169
23	−0.004027273226697	−0.017338667620351	−0.030005448553794	−0.020536165254725	−0.003696194040458
24	0.003024238308363	0.013394444480610	0.023658566786054	0.016180658703661	0.002688753419761
25	−0.002233814412328	−0.010187262429483	−0.018357061617550	−0.012518726197641	−0.001880234103510
26	0.001619612427739	0.007614467619845	0.013993527079620	0.009494927822061	0.001251724331496
27	−0.001149754797462	−0.005581013645482	−0.010458788127664	−0.007046111678278	−0.000781330341624
28	0.000796663861173	0.004000709213585	0.007645263913791	0.005101208642714	0.000441439263909
29	−0.000536633718021	−0.002795599745994	−0.005449025857033	−0.003589487278191	−0.000206255609100
30	0.000349545529838	0.001895830247705	0.003770427414620	0.002441776327828	0.000053417213621
31	−0.000218498674617	−0.001239482351210	−0.002517028536055	−0.001596601179870	0.000032333826084
32	0.000129607420879	0.000773720821702	0.001606542109353	0.000996204580929	−0.000067169661349
33	−0.000071635910779	−0.000454306657023	−0.000967504900344	−0.000587397249461	0.000068485823988
34	0.000035791801597	0.000245674851842	0.000539971198304	0.000321069026938	−0.000055829905847
35	−0.000015815837778	−0.000125519073336	−0.000300465948474	−0.000202997633437	0.000015539277740

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