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coeffs3dB.txt
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coeffs3dB.txt
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Q for N =
1: --------------
2: 0.57735026919
3: -------------- 0.691046625825
4: 0.805538281842 0.521934581669
5: -------------- 0.916477373948 0.563535620851
6: 1.02331395383 0.611194546878 0.510317824749
7: -------------- 1.12625754198 0.660821389297 0.5323556979
8: 1.22566942541 0.710852074442 0.559609164796 0.505991069397
9: -------------- 1.32191158474 0.76061100441 0.589406099688 0.519708624045
10: 1.41530886916 0.809790964841 0.620470155557 0.537552151324 0.503912727276
11: -------------- 1.50614319627 0.858254347397 0.652129790267 0.557757625272 0.513291150484
12: 1.59465693507 0.905947107028 0.684008068135 0.579367238637 0.525936202025 0.502755558199
13: -------------- 1.68105842736 0.952858075619 0.715884117223 0.601821815965 0.540638359653 0.509578259943
14: 1.76552743494 0.99899844298 0.747625068281 0.624777082425 0.556680772784 0.519027293252 0.502045428603
15: -------------- 1.84821988785 1.04439091113 0.779150095999 0.64801247128 0.573614183211 0.530242036659 0.507234085686
16: 1.9292718407 1.08906376919 0.810410302851 0.671382379547 0.591144659781 0.542678365296 0.514570954516 0.50157839996
17: -------------- 2.00880271251 1.13304758933 0.841376937747 0.694788532305 0.609073281815 0.555976705936 0.523423631635 0.505658279315
18: 2.08691792611 1.17637337051 0.872034231045 0.718163551842 0.62726175276 0.569890918628 0.533371794503 0.511523783757 0.501254898895
19: -------------- 2.16371105964 1.2190715028 0.902374907658 0.741460779468 0.64561184005 0.584247626451 0.544125876623 0.51869732357 0.504547597916
20: 2.2392656063 1.26117120948 0.932397293621 0.764647777979 0.664052595714 0.598921667222 0.555480717539 0.526848229447 0.509346200193 0.5010214907
21: -------------- 2.31365642119 1.3027002664 0.962103418929 0.787702096643 0.682531873154 0.613821465772 0.567286419211 0.535741836572 0.515280927751 0.503735102656
22: 2.38695091672 1.34368489137 0.9914977382 0.810608374346 0.701011055985 0.628878470886 0.579432203615 0.545205998341 0.522088361886 0.507734188949 0.500847876447
23: -------------- 2.45921005825 1.38414970832 1.02058639099 0.83335594037 0.71946219794 0.644039439464 0.591836256986 0.555109630446 0.529579231151 0.512724062673 0.50312441711
24: 2.53048919527 1.42411782785 1.0493762823 0.855938648517 0.737862846783 0.659265583359 0.604433423162 0.565356872272 0.537609917135 0.518480992357 0.506530209779 0.500705089193
25: -------------- 2.60083876722 1.46361080673 1.07787546866 0.878350794615 0.756201616407 0.67451848062 0.61717592099 0.575900052456 0.54598539627 0.52498379021 0.510697013072 0.502676254613
f multiplier to get same asymptotes as Butterworth (LPF and HPF phase-matched), for N =
1: 1.0*
2: 1.0
3: 0.941600026533* 1.03054454544
4: 1.05881751607 0.944449808226
5: 0.926442077388* 1.08249898167 0.959761595159
6: 1.10221694805 0.977488555538 0.928156550439
7: 0.919487155649* 1.11880560415 0.994847495138 0.936949152329
8: 1.13294518316 1.01102810214 0.948341760923 0.920583104484
9: 0.91549577975* 1.14514968183 1.02585472504 0.960498668791 0.926247266902
10: 1.1558037036 1.03936894925 0.97261109434 0.934100034375 0.916249124617
11: 0.912906724436* 1.16519741334 1.05168282959 0.984316740936 0.942949951185 0.920193132617
12: 1.17355271619 1.06292406318 0.995461786845 0.952166527419 0.925914296015 0.913454385109
13: 0.911091466854* 1.18104182776 1.07321545484 1.00599396165 0.961405619739 0.932611355958 0.916355696155
14: 1.18780032771 1.08266791426 1.01591128467 0.970477661656 0.939810654041 0.920703208811 0.911506866062
15: 0.909748229966* 1.19393639282 1.0913789083 1.02523633136 0.979279967765 0.94722418208 0.925936704354 0.913729630094
16: 1.19953740586 1.09943305996 1.03400291287 0.987760087585 0.95467383238 0.931698895378 0.917142770322 0.910073839346
17: 0.90871413725* 1.20467475213 1.10690349918 1.04224907152 0.995895128766 0.962048816204 0.937756383721 0.921340844014 0.911830680367
18: 1.20940734994 1.11385337734 1.05001339418 1.00367973734 0.969280603396 0.943954250962 0.926050231129 0.914580478856 0.908976037149
19: 0.907893919302* 1.21378428546 1.12033730493 1.0573331286 1.0111188683 0.976327883231 0.950188359162 0.931082862107 0.918020969974 0.910398956143
20: 1.21784680466 1.1264026303 1.06424326798 1.01822342058 0.983167120254 0.95638801868 0.936308601969 0.921937021009 0.912663024837 0.908107980211
21: 0.907225357499* 1.22162983802 1.1320905394 1.07077616544 1.02500769851 0.989785640275 0.962508010715 0.941630161188 0.926183251307 0.9155296227 0.909286216202
22: 1.22516318077 1.13743698512 1.07696149262 1.03148735342 0.996179965407 0.96851309296 0.946991550834 0.930631235792 0.918852134738 0.911166958728 0.907410947881
23: 0.906719534623* 1.22847241645 1.14247346853 1.08282629166 1.03767889641 1.00234905628 0.974390954749 0.952320729919 0.935252364835 0.922427707802 0.913653374939 0.908347696481
24: 1.23157964654 1.14722769923 1.0883950941 1.0435987585 1.00829725397 0.980123094988 0.957608224432 0.939926223529 0.926267856059 0.916477702542 0.909977455187 0.906833955157
25: 0.907345724643* 1.23450407254 1.15172412799 1.09369027249 1.04926235371 1.01403303286 0.985687984531 0.962890073038 0.94442973159 0.930689419819 0.918889678144 0.913024870243 0.906578647198
f multiplier to get -3 dB at fc, for N =
1: 1.0*
2: 1.27201964951
3: 1.32267579991* 1.44761713315
4: 1.60335751622 1.43017155999
5: 1.50231627145* 1.75537777664 1.5563471223
6: 1.9047076123 1.68916826762 1.60391912877
7: 1.68436817927* 2.04949090027 1.82241747886 1.71635604487
8: 2.18872623053 1.95319575902 1.8320926012 1.77846591177
9: 1.85660050123* 2.32233235836 2.08040543586 1.94786513423 1.87840422428
10: 2.45062684305 2.20375262593 2.06220731793 1.98055310882 1.94270419166
11: 2.01670147342* 2.57403662106 2.32327165002 2.17445328051 2.08306994023 2.03279787157
12: 2.69298925084 2.43912611432 2.28431825397 2.18496722642 2.12472538469 2.09613322545
13: 2.16608270629* 2.80787865058 2.55152585818 2.39170950693 2.28570254733 2.21724536265 2.17859819619
14: 2.91905714471 2.66069088949 2.49663434562 2.3849797697 2.30961462154 2.26265746619 2.24005716092
15: 2.30637004036* 3.02683647605 2.76683540992 2.59915246993 2.48264509276 2.40137809901 2.34741063939 2.31646358236
16: 3.13149167404 2.87016099423 2.69935018013 2.57862945757 2.49225505008 2.43227707558 2.39427710643 2.37582307708
17: 2.43892727899* 3.23326555056 2.97085412088 2.79732601026 2.6729151633 2.58207394975 2.5168747041 2.47281650588 2.44729186992
18: 3.33237300562 3.06908580228 2.89318259103 2.76551590592 2.67073332885 2.60094968384 2.55161736219 2.52001387239 2.50457152349
19: 2.5648483909* 3.4290048708 3.16501220321 2.98702206931 2.85646433711 2.75817796227 2.68433242281 2.63035838208 2.59345784523 2.57192525261
20: 3.52333123464 3.25877569733 3.07894353623 2.94580432269 2.84438355497 2.7669094058 2.70881799742 2.66723982856 2.64040939287 2.62723127313
21: 2.68500085727* 3.61550427931 3.35050607181 3.16904162609 3.03358644735 2.92934414882 2.84861397726 2.78682443025 2.74110815267 2.70957794718 2.69110012173
22: 3.70566068545 3.44032173353 3.25740597301 3.11986369907 3.01307204737 2.92939009942 2.86429547873 2.81481164081 2.77918426287 2.75593947797 2.74457894907
23: 2.80024578164* 3.79392366733 3.52833085507 3.34412091025 3.20469102232 3.09558094801 3.00923720789 2.94107715219 2.88836447148 2.84875774593 2.82165974302 2.80527407672
24: 3.88040469656 3.61463244753 3.42926537209 3.28812313129 3.17689676897 3.08812692031 3.01718809821 2.96147646029 2.91844230214 2.8875959352 2.8671152538 2.857210858
25: 2.9143782133* 3.96520496599 3.69931726705 3.5129135628 3.37021188357 3.25705593608 3.16601214863 3.09278566531 3.03349137929 2.98935774402 2.95145718514 2.93261952723 2.91191437429