AudioSRCData.h

//
//  AudioSRCData.h
//  libraries/audio/src
//
//  Created by Ken Cooke on 6/6/16.
//  Copyright 2016 High Fidelity, Inc.
//
//  Distributed under the Apache License, Version 2.0.
//  See the accompanying file LICENSE or http://www.apache.org/licenses/LICENSE-2.0.html
//
 
// Resampling algorithm:
//
// One of two methods is used, depending on whether the conversion is reducible to a ratio of small integers L/M.
// For rational ratio, the prototype is upsampled to L/M polyphase filter using 3rd-order Lagrange interpolation.
// For irrational ratio, the prototype is upsampled to 256/M polyphase filter, followed by linear interpolation.
// For both cases, oversampling at each stage ensures the original passband and stopband specifications are met.
//
// Prototype filter coefficients:
//
// See "Design of Optimal Minimum Phase Digital FIR Filters Using Discrete Hilbert Transforms"
// IEEE TRANSACTIONS ON SIGNAL PROCESSING, May 2000
//
 
// Minimum-phase equiripple FIR lowpass
// taps = 32, phases = 32
//
// passband = 20.0khz @ 44.1khz sample rate
// stopband = 24.1khz @ 44.1khz sample rate
// passband ripple = +-0.1dB
// stopband attn = -90dB (-15dB at Fs/2)
//
static const int PROTOTYPE_TAPS_LQ = 32;    // filter taps per phase
static const int PROTOTYPE_PHASES_LQ = 32;  // oversampling factor
static const int PROTOTYPE_COEFS_LQ = PROTOTYPE_TAPS_LQ * PROTOTYPE_PHASES_LQ;
 
static const float prototypeFilterLQ[PROTOTYPE_COEFS_LQ] = {
     0.00000000e+00f,  7.28975116e-04f,  5.28021918e-04f,  7.16707449e-04f, 
     9.46880205e-04f,  1.22626464e-03f,  1.56097789e-03f,  1.95857740e-03f, 
     2.42735360e-03f,  2.97597295e-03f,  3.61414158e-03f,  4.35147661e-03f, 
     5.19903244e-03f,  6.16834781e-03f,  7.27139413e-03f,  8.52087885e-03f, 
     9.93027739e-03f,  1.15138408e-02f,  1.32858865e-02f,  1.52618059e-02f, 
     1.74572757e-02f,  1.98883444e-02f,  2.25718437e-02f,  2.55246719e-02f, 
     2.87640270e-02f,  3.23076588e-02f,  3.61729575e-02f,  4.03776976e-02f, 
     4.49395244e-02f,  4.98759702e-02f,  5.52043198e-02f,  6.09413414e-02f, 
     6.71034941e-02f,  7.37065157e-02f,  8.07653614e-02f,  8.82941974e-02f, 
     9.63060587e-02f,  1.04812881e-01f,  1.13825219e-01f,  1.23352172e-01f, 
     1.33401320e-01f,  1.43978249e-01f,  1.55086868e-01f,  1.66728895e-01f, 
     1.78903939e-01f,  1.91609167e-01f,  2.04839377e-01f,  2.18586735e-01f, 
     2.32840663e-01f,  2.47587834e-01f,  2.62812048e-01f,  2.78493896e-01f, 
     2.94611202e-01f,  3.11138389e-01f,  3.28046863e-01f,  3.45304816e-01f, 
     3.62877105e-01f,  3.80725486e-01f,  3.98808519e-01f,  4.17081566e-01f, 
     4.35496922e-01f,  4.54003882e-01f,  4.72548839e-01f,  4.91075447e-01f, 
     5.09524621e-01f,  5.27834950e-01f,  5.45942661e-01f,  5.63781919e-01f, 
     5.81285095e-01f,  5.98382949e-01f,  6.15004906e-01f,  6.31079405e-01f, 
     6.46534147e-01f,  6.61296398e-01f,  6.75293434e-01f,  6.88452775e-01f, 
     7.00702555e-01f,  7.11972090e-01f,  7.22191939e-01f,  7.31294512e-01f, 
     7.39214535e-01f,  7.45889151e-01f,  7.51258670e-01f,  7.55266659e-01f, 
     7.57860532e-01f,  7.58991876e-01f,  7.58616791e-01f,  7.56696278e-01f, 
     7.53196635e-01f,  7.48089699e-01f,  7.41353196e-01f,  7.32971068e-01f, 
     7.22933677e-01f,  7.11238067e-01f,  6.97888163e-01f,  6.82894965e-01f, 
     6.66276681e-01f,  6.48058794e-01f,  6.28274242e-01f,  6.06963278e-01f, 
     5.84173637e-01f,  5.59960417e-01f,  5.34385882e-01f,  5.07519537e-01f, 
     4.79437782e-01f,  4.50223794e-01f,  4.19967217e-01f,  3.88763822e-01f, 
     3.56715277e-01f,  3.23928700e-01f,  2.90516163e-01f,  2.56594399e-01f, 
     2.22284125e-01f,  1.87709643e-01f,  1.52998265e-01f,  1.18279588e-01f, 
     8.36851523e-02f,  4.93474839e-02f,  1.53996534e-02f, -1.80254225e-02f, 
    -5.07957096e-02f, -8.27807833e-02f, -1.13852341e-01f, -1.43885218e-01f, 
    -1.72757722e-01f, -2.00352507e-01f, -2.26557266e-01f, -2.51265311e-01f, 
    -2.74376237e-01f, -2.95796417e-01f, -3.15439781e-01f, -3.33228241e-01f, 
    -3.49092104e-01f, -3.62970747e-01f, -3.74812888e-01f, -3.84576889e-01f, 
    -3.92231362e-01f, -3.97755069e-01f, -4.01137392e-01f, -4.02378406e-01f, 
    -4.01488916e-01f, -3.98490635e-01f, -3.93415883e-01f, -3.86307800e-01f, 
    -3.77220048e-01f, -3.66216406e-01f, -3.53370895e-01f, -3.38767051e-01f, 
    -3.22497625e-01f, -3.04664286e-01f, -2.85376890e-01f, -2.64752961e-01f, 
    -2.42917088e-01f, -2.20000242e-01f, -1.96139080e-01f, -1.71475106e-01f, 
    -1.46153972e-01f, -1.20324613e-01f, -9.41383344e-02f, -6.77480670e-02f, 
    -4.13073929e-02f, -1.49696597e-02f,  1.11129114e-02f,  3.67901095e-02f, 
     6.19146386e-02f,  8.63430356e-02f,  1.09936435e-01f,  1.32561513e-01f, 
     1.54091218e-01f,  1.74405575e-01f,  1.93392376e-01f,  2.10947978e-01f, 
     2.26977724e-01f,  2.41396784e-01f,  2.54130448e-01f,  2.65114726e-01f, 
     2.74296639e-01f,  2.81634662e-01f,  2.87098866e-01f,  2.90671107e-01f, 
     2.92345176e-01f,  2.92126867e-01f,  2.90033699e-01f,  2.86095139e-01f, 
     2.80352008e-01f,  2.72856598e-01f,  2.63671967e-01f,  2.52871744e-01f, 
     2.40539514e-01f,  2.26768317e-01f,  2.11660034e-01f,  1.95324586e-01f, 
     1.77879378e-01f,  1.59448385e-01f,  1.40161367e-01f,  1.20152966e-01f, 
     9.95618622e-02f,  7.85297785e-02f,  5.72005768e-02f,  3.57192808e-02f, 
     1.42311215e-02f, -7.11951769e-03f, -2.81899292e-02f, -4.88401822e-02f, 
    -6.89339017e-02f, -8.83393954e-02f, -1.06930316e-01f, -1.24586559e-01f, 
    -1.41195195e-01f, -1.56651055e-01f, -1.70857478e-01f, -1.83726987e-01f, 
    -1.95181785e-01f, -2.05154317e-01f, -2.13587667e-01f, -2.20435903e-01f, 
    -2.25664449e-01f, -2.29250041e-01f, -2.31181242e-01f, -2.31458031e-01f, 
    -2.30092107e-01f, -2.27106555e-01f, -2.22535747e-01f, -2.16424965e-01f, 
    -2.08830163e-01f, -1.99817373e-01f, -1.89462299e-01f, -1.77849711e-01f, 
    -1.65072808e-01f, -1.51232520e-01f, -1.36436673e-01f, -1.20799359e-01f, 
    -1.04439919e-01f, -8.74821698e-02f, -7.00534343e-02f, -5.22836170e-02f, 
    -3.43043130e-02f, -1.62477544e-02f,  1.75410417e-03f,  1.95704950e-02f, 
     3.70728919e-02f,  5.41358329e-02f,  7.06378827e-02f,  8.64624705e-02f, 
     1.01498764e-01f,  1.15642360e-01f,  1.28796157e-01f,  1.40870911e-01f, 
     1.51785903e-01f,  1.61469550e-01f,  1.69859761e-01f,  1.76904454e-01f, 
     1.82561874e-01f,  1.86800857e-01f,  1.89600897e-01f,  1.90952441e-01f, 
     1.90856771e-01f,  1.89325957e-01f,  1.86382705e-01f,  1.82060259e-01f, 
     1.76401832e-01f,  1.69460540e-01f,  1.61298726e-01f,  1.51987505e-01f, 
     1.41606270e-01f,  1.30241934e-01f,  1.17988225e-01f,  1.04945127e-01f, 
     9.12178061e-02f,  7.69160369e-02f,  6.21532180e-02f,  4.70454586e-02f, 
     3.17108262e-02f,  1.62682899e-02f,  8.36880030e-04f, -1.44653008e-02f, 
    -2.95217829e-02f, -4.42188583e-02f, -5.84462984e-02f, -7.20981889e-02f, 
    -8.50737210e-02f, -9.72780486e-02f, -1.08622747e-01f, -1.19026752e-01f, 
    -1.28416727e-01f, -1.36727654e-01f, -1.43903329e-01f, -1.49896717e-01f, 
    -1.54670212e-01f, -1.58196010e-01f, -1.60456172e-01f, -1.61442637e-01f, 
    -1.61157454e-01f, -1.59612458e-01f, -1.56829341e-01f, -1.52839211e-01f, 
    -1.47682542e-01f, -1.41408517e-01f, -1.34074900e-01f, -1.25747276e-01f, 
    -1.16498646e-01f, -1.06408699e-01f, -9.55633372e-02f, -8.40537057e-02f, 
    -7.19756228e-02f, -5.94288040e-02f, -4.65159194e-02f, -3.33418752e-02f, 
    -2.00129672e-02f, -6.63596427e-03f,  6.68267160e-03f,  1.98376314e-02f, 
     3.27256831e-02f,  4.52462942e-02f,  5.73026720e-02f,  6.88022005e-02f, 
     7.96574704e-02f,  8.97866682e-02f,  9.91143784e-02f,  1.07572126e-01f, 
     1.15098726e-01f,  1.21640980e-01f,  1.27153834e-01f,  1.31600792e-01f, 
     1.34954194e-01f,  1.37195251e-01f,  1.38314277e-01f,  1.38310676e-01f, 
     1.37192796e-01f,  1.34978004e-01f,  1.31692288e-01f,  1.27370106e-01f, 
     1.22054029e-01f,  1.15794394e-01f,  1.08648761e-01f,  1.00681487e-01f, 
     9.19630976e-02f,  8.25697991e-02f,  7.25826001e-02f,  6.20869214e-02f, 
     5.11715961e-02f,  3.99283541e-02f,  2.84508925e-02f,  1.68342186e-02f, 
     5.17377977e-03f, -6.43521011e-03f, -1.78986591e-02f, -2.91243004e-02f, 
    -4.00223808e-02f, -5.05064910e-02f, -6.04941228e-02f, -6.99074693e-02f, 
    -7.86738606e-02f, -8.67264578e-02f, -9.40046995e-02f, -1.00454765e-01f, 
    -1.06030026e-01f, -1.10691243e-01f, -1.14407022e-01f, -1.17153944e-01f, 
    -1.18916598e-01f, -1.19687865e-01f, -1.19468739e-01f, -1.18268415e-01f, 
    -1.16104032e-01f, -1.13000545e-01f, -1.08990518e-01f, -1.04113703e-01f, 
    -9.84167327e-02f, -9.19526941e-02f, -8.47806080e-02f, -7.69649469e-02f, 
    -6.85750439e-02f, -5.96844626e-02f, -5.03705114e-02f, -4.07132844e-02f, 
    -3.07953016e-02f, -2.07006085e-02f, -1.05141264e-02f, -3.20951410e-04f, 
     9.79431878e-03f,  1.97484065e-02f,  2.94598579e-02f,  3.88498900e-02f, 
     4.78428851e-02f,  5.63670626e-02f,  6.43550484e-02f,  7.17444026e-02f, 
     7.84781305e-02f,  8.45050241e-02f,  8.97801810e-02f,  9.42652760e-02f, 
     9.79288240e-02f,  1.00746396e-01f,  1.02700853e-01f,  1.03782266e-01f, 
     1.03988238e-01f,  1.03323524e-01f,  1.01800239e-01f,  9.94375528e-02f, 
     9.62615477e-02f,  9.23048286e-02f,  8.76064504e-02f,  8.22113018e-02f, 
     7.61697886e-02f,  6.95374490e-02f,  6.23743280e-02f,  5.47444590e-02f, 
     4.67153930e-02f,  3.83575644e-02f,  2.97435885e-02f,  2.09477867e-02f, 
     1.20454057e-02f,  3.11212727e-03f, -5.77670883e-03f, -1.45466546e-02f, 
    -2.31248183e-02f, -3.14404178e-02f, -3.94254220e-02f, -4.70150666e-02f, 
    -5.41483431e-02f, -6.07686433e-02f, -6.68239876e-02f, -7.22675629e-02f, 
    -7.70581276e-02f, -8.11601792e-02f, -8.45443023e-02f, -8.71873958e-02f, 
    -8.90727419e-02f, -9.01902115e-02f, -9.05361921e-02f, -9.01136697e-02f, 
    -8.89320459e-02f, -8.70071757e-02f, -8.43609847e-02f, -8.10214985e-02f, 
    -7.70222095e-02f, -7.24021583e-02f, -6.72052207e-02f, -6.14799159e-02f, 
    -5.52788831e-02f, -4.86583851e-02f, -4.16778058e-02f, -3.43992650e-02f, 
    -2.68868077e-02f, -1.92060587e-02f, -1.14236319e-02f, -3.60642407e-03f, 
     4.17881921e-03f,  1.18661336e-02f,  1.93908917e-02f,  2.66902948e-02f, 
     3.37039743e-02f,  4.03744472e-02f,  4.66475562e-02f,  5.24729545e-02f, 
     5.78044779e-02f,  6.26005725e-02f,  6.68244845e-02f,  7.04446741e-02f, 
     7.34349935e-02f,  7.57748248e-02f,  7.74493250e-02f,  7.84493903e-02f, 
     7.87717937e-02f,  7.84190762e-02f,  7.73995918e-02f,  7.57272565e-02f, 
     7.34215464e-02f,  7.05071134e-02f,  6.70137596e-02f,  6.29758606e-02f, 
     5.84323313e-02f,  5.34260041e-02f,  4.80034281e-02f,  4.22143140e-02f, 
     3.61111702e-02f,  2.97487406e-02f,  2.31835997e-02f,  1.64736453e-02f, 
     9.67752695e-03f,  2.85419998e-03f, -3.93762999e-03f, -1.06399348e-02f, 
    -1.71959385e-02f, -2.35505482e-02f, -2.96508746e-02f, -3.54465559e-02f, 
    -4.08903087e-02f, -4.59382076e-02f, -5.05500710e-02f, -5.46897977e-02f, 
    -5.83256336e-02f, -6.14303991e-02f, -6.39817065e-02f, -6.59620943e-02f, 
    -6.73591911e-02f, -6.81656740e-02f, -6.83794363e-02f, -6.80034408e-02f, 
    -6.70457663e-02f, -6.55193585e-02f, -6.34420299e-02f, -6.08361928e-02f, 
    -5.77285780e-02f, -5.41501008e-02f, -5.01354400e-02f, -4.57227942e-02f, 
    -4.09534468e-02f, -3.58714870e-02f, -3.05232790e-02f, -2.49571784e-02f, 
    -1.92229536e-02f, -1.33715002e-02f, -7.45424074e-03f, -1.52282779e-03f, 
     4.37145954e-03f,  1.01780139e-02f,  1.58474669e-02f,  2.13319801e-02f, 
     2.65857460e-02f,  3.15652917e-02f,  3.62299244e-02f,  4.05419365e-02f, 
     4.44670358e-02f,  4.79745748e-02f,  5.10377004e-02f,  5.36337077e-02f, 
     5.57440668e-02f,  5.73546603e-02f,  5.84557411e-02f,  5.90421256e-02f, 
     5.91130966e-02f,  5.86724216e-02f,  5.77282618e-02f,  5.62930843e-02f, 
     5.43835071e-02f,  5.20201048e-02f,  4.92272145e-02f,  4.60327334e-02f, 
     4.24677384e-02f,  3.85663281e-02f,  3.43651906e-02f,  2.99033194e-02f, 
     2.52216042e-02f,  2.03625429e-02f,  1.53697892e-02f,  1.02878080e-02f, 
     5.16141748e-03f,  3.54554287e-05f, -5.04559357e-03f, -1.00380668e-02f, 
    -1.48994076e-02f, -1.95886140e-02f, -2.40664479e-02f, -2.82959628e-02f, 
    -3.22425465e-02f, -3.58744991e-02f, -3.91630048e-02f, -4.20825763e-02f, 
    -4.46110733e-02f, -4.67300241e-02f, -4.84246203e-02f, -4.96839214e-02f, 
    -5.05008237e-02f, -5.08721924e-02f, -5.07987345e-02f, -5.02850629e-02f, 
    -4.93395862e-02f, -4.79743374e-02f, -4.62049777e-02f, -4.40505011e-02f, 
    -4.15330980e-02f, -3.86779025e-02f, -3.55127961e-02f, -3.20681161e-02f, 
    -2.83763217e-02f, -2.44717701e-02f, -2.03903547e-02f, -1.61691748e-02f, 
    -1.18462698e-02f, -7.46013607e-03f, -3.04951161e-03f,  1.34692444e-03f, 
     5.69111426e-03f,  9.94569040e-03f,  1.40744228e-02f,  1.80425336e-02f, 
     2.18169733e-02f,  2.53666047e-02f,  2.86626832e-02f,  3.16787349e-02f, 
     3.43911705e-02f,  3.67791220e-02f,  3.88248515e-02f,  4.05136772e-02f, 
     4.18342304e-02f,  4.27784179e-02f,  4.33415602e-02f,  4.35222883e-02f, 
     4.33226323e-02f,  4.27478916e-02f,  4.18065716e-02f,  4.05103772e-02f, 
     3.88739402e-02f,  3.69146941e-02f,  3.46528406e-02f,  3.21109279e-02f, 
     2.93137762e-02f,  2.62882132e-02f,  2.30627785e-02f,  1.96675174e-02f, 
     1.61336554e-02f,  1.24933585e-02f,  8.77935450e-03f,  5.02478226e-03f, 
     1.26274939e-03f, -2.47381135e-03f, -6.15257931e-03f, -9.74204250e-03f, 
    -1.32117111e-02f, -1.65324633e-02f, -1.96768175e-02f, -2.26190296e-02f, 
    -2.53353631e-02f, -2.78043942e-02f, -3.00069232e-02f, -3.19263582e-02f, 
    -3.35487189e-02f, -3.48628042e-02f, -3.58600923e-02f, -3.65350965e-02f, 
    -3.68850329e-02f, -3.69100994e-02f, -3.66132756e-02f, -3.60003401e-02f, 
    -3.50797962e-02f, -3.38627603e-02f, -3.23627692e-02f, -3.05957678e-02f, 
    -2.85798571e-02f, -2.63351332e-02f, -2.38834857e-02f, -2.12483829e-02f, 
    -1.84547220e-02f, -1.55284492e-02f, -1.24965051e-02f, -9.38640203e-03f, 
    -6.22609301e-03f, -3.04369585e-03f,  1.32762636e-04f,  3.27565744e-03f, 
     6.35778901e-03f,  9.35294273e-03f,  1.22358237e-02f,  1.49824056e-02f, 
     1.75701075e-02f,  1.99779518e-02f,  2.21867770e-02f,  2.41793435e-02f, 
     2.59404689e-02f,  2.74572035e-02f,  2.87188245e-02f,  2.97169416e-02f, 
     3.04456193e-02f,  3.09012724e-02f,  3.10828219e-02f,  3.09914900e-02f, 
     3.06309677e-02f,  3.00072685e-02f,  2.91285515e-02f,  2.80052154e-02f, 
     2.66496480e-02f,  2.50761449e-02f,  2.33007750e-02f,  2.13411516e-02f, 
     1.92164000e-02f,  1.69468023e-02f,  1.45537563e-02f,  1.20594486e-02f, 
     9.48676429e-03f,  6.85903677e-03f,  4.19977345e-03f,  1.53256385e-03f, 
    -1.11923005e-03f, -3.73258630e-03f, -6.28513996e-03f, -8.75520138e-03f, 
    -1.11221677e-02f, -1.33664090e-02f, -1.54697209e-02f, -1.74152518e-02f, 
    -1.91877503e-02f, -2.07736100e-02f, -2.21610583e-02f, -2.33401552e-02f, 
    -2.43028936e-02f, -2.50432239e-02f, -2.55572004e-02f, -2.58427904e-02f, 
    -2.59000545e-02f, -2.57310431e-02f, -2.53397051e-02f, -2.47319730e-02f, 
    -2.39155599e-02f, -2.28998967e-02f, -2.16961438e-02f, -2.03168481e-02f, 
    -1.87760628e-02f, -1.70890659e-02f, -1.52721751e-02f, -1.33427855e-02f, 
    -1.13189241e-02f, -9.21940369e-03f, -7.06334151e-03f, -4.87023961e-03f, 
    -2.65963092e-03f, -4.50994812e-04f,  1.73640229e-03f,  3.88374291e-03f, 
     5.97275475e-03f,  7.98585074e-03f,  9.90639262e-03f,  1.17186973e-02f, 
     1.34081560e-02f,  1.49615352e-02f,  1.63668259e-02f,  1.76135105e-02f, 
     1.86925301e-02f,  1.95965056e-02f,  2.03195224e-02f,  2.08574670e-02f, 
     2.12077627e-02f,  2.13696124e-02f,  2.13437750e-02f,  2.11327560e-02f, 
     2.07405182e-02f,  2.01726358e-02f,  1.94361844e-02f,  1.85395451e-02f, 
     1.74924464e-02f,  1.63058203e-02f,  1.49916547e-02f,  1.35629062e-02f, 
     1.20334608e-02f,  1.04177680e-02f,  8.73100106e-03f,  6.98868549e-03f, 
     5.20665601e-03f,  3.40092099e-03f,  1.58753490e-03f, -2.17695644e-04f, 
    -1.99910034e-03f, -3.74146184e-03f, -5.43007086e-03f, -7.05092753e-03f, 
    -8.59070470e-03f, -1.00369948e-02f, -1.13783897e-02f, -1.26044279e-02f, 
    -1.37059342e-02f, -1.46748025e-02f, -1.55042280e-02f, -1.61887522e-02f, 
    -1.67241794e-02f, -1.71076711e-02f, -1.73378351e-02f, -1.74144779e-02f, 
    -1.73389059e-02f, -1.71136356e-02f, -1.67424743e-02f, -1.62304640e-02f, 
    -1.55838480e-02f, -1.48098588e-02f, -1.39168322e-02f, -1.29140231e-02f, 
    -1.18115143e-02f, -1.06200906e-02f, -9.35124612e-03f, -8.01695110e-03f, 
    -6.62958732e-03f, -5.20189654e-03f, -3.74672941e-03f, -2.27707332e-03f, 
    -8.05845141e-04f,  6.54179273e-04f,  2.09050688e-03f,  3.49096733e-03f, 
     4.84392087e-03f,  6.13824635e-03f,  7.36347041e-03f,  8.50990399e-03f, 
     9.56862331e-03f,  1.05315922e-02f,  1.13917302e-02f,  1.21429044e-02f, 
     1.27800841e-02f,  1.32991892e-02f,  1.36972866e-02f,  1.39725216e-02f, 
     1.41241275e-02f,  1.41524197e-02f,  1.40587435e-02f,  1.38455637e-02f, 
     1.35162745e-02f,  1.30752766e-02f,  1.25278418e-02f,  1.18801668e-02f, 
     1.11390928e-02f,  1.03123983e-02f,  9.40827358e-03f,  8.43562672e-03f, 
     7.40377163e-03f,  6.32242671e-03f,  5.20162121e-03f,  4.05156682e-03f, 
     2.88263153e-03f,  1.70517232e-03f,  5.29487408e-04f, -6.34211729e-04f, 
    -1.77605253e-03f, -2.88646064e-03f, -3.95616348e-03f, -4.97648567e-03f, 
    -5.93920830e-03f, -6.83678669e-03f, -7.66226028e-03f, -8.40944016e-03f, 
    -9.07287729e-03f, -9.64791424e-03f, -1.01306987e-02f, -1.05182539e-02f, 
    -1.08084266e-02f, -1.09999497e-02f, -1.10924131e-02f, -1.10862989e-02f, 
    -1.09828365e-02f, -1.07841564e-02f, -1.04931526e-02f, -1.01134471e-02f, 
    -9.64941559e-03f, -9.10601231e-03f, -8.48895609e-03f, -7.80432461e-03f, 
    -7.05888029e-03f, -6.25962634e-03f, -5.41408247e-03f, -4.53000260e-03f, 
    -3.61533992e-03f, -2.67821826e-03f, -1.72688614e-03f, -7.69528733e-04f, 
     1.85678067e-04f,  1.13074310e-03f,  2.05777111e-03f,  2.95926460e-03f, 
     3.82791860e-03f,  4.65688490e-03f,  5.43972180e-03f,  6.17047599e-03f, 
     6.84368982e-03f,  7.45452147e-03f,  7.99866735e-03f,  8.47248249e-03f, 
     8.87296937e-03f,  9.19777944e-03f,  9.44523689e-03f,  9.61435388e-03f, 
     9.70484499e-03f,  9.71702770e-03f,  9.65193150e-03f,  9.51123066e-03f, 
     9.29717493e-03f,  9.01265661e-03f,  8.66110402e-03f,  8.24646593e-03f, 
     7.77315782e-03f,  7.24604663e-03f,  6.67047548e-03f,  6.05199870e-03f, 
     5.39648601e-03f,  4.71020232e-03f,  3.99936468e-03f,  3.27048673e-03f, 
     2.53017328e-03f,  1.78489830e-03f,  1.04127303e-03f,  3.05725514e-04f, 
    -4.15400312e-04f, -1.11594714e-03f, -1.79008114e-03f, -2.43206003e-03f, 
    -3.03664449e-03f, -3.59885967e-03f, -4.11407707e-03f, -4.57820715e-03f, 
    -4.98751465e-03f, -5.33871753e-03f, -5.62913826e-03f, -5.85651384e-03f, 
    -6.01910876e-03f, -6.11568374e-03f, -6.14557331e-03f, -6.10867496e-03f, 
    -6.00522878e-03f, -5.83616638e-03f, -5.60278483e-03f, -5.30690019e-03f, 
    -4.95079904e-03f, -4.53716770e-03f, -4.06902241e-03f, -3.54990946e-03f, 
    -2.98354824e-03f, -2.37406567e-03f, -1.72583058e-03f, -1.04339053e-03f, 
    -3.31575903e-04f,  4.04731017e-04f,  1.16046426e-03f,  1.93047931e-03f, 
     2.70966457e-03f,  3.49286946e-03f,  4.27497175e-03f,  5.05096414e-03f, 
     5.81588928e-03f,  6.56505025e-03f,  7.29383459e-03f,  7.99783870e-03f, 
     8.67297661e-03f,  9.31532828e-03f,  9.92132675e-03f,  1.04876772e-02f, 
     1.10114045e-02f,  1.14898834e-02f,  1.19208305e-02f,  1.23023172e-02f, 
     1.26327528e-02f,  1.29109423e-02f,  1.31360539e-02f,  1.33075724e-02f, 
     1.34253799e-02f,  1.34897059e-02f,  1.35010891e-02f,  1.34603934e-02f, 
     1.33688630e-02f,  1.32278965e-02f,  1.30393415e-02f,  1.28051190e-02f, 
     1.25274902e-02f,  1.22089873e-02f,  1.18521579e-02f,  1.14598585e-02f, 
     1.10350529e-02f,  1.05807699e-02f,  1.01001976e-02f,  9.59656262e-03f, 
     9.07311069e-03f,  8.53314959e-03f,  7.97996814e-03f,  7.41679850e-03f, 
     6.84686640e-03f,  6.27334013e-03f,  5.69920757e-03f,  5.12748931e-03f, 
     4.56098087e-03f,  4.00237749e-03f,  3.45421723e-03f,  2.91888537e-03f, 
     2.39861667e-03f,  1.89541680e-03f,  1.41108592e-03f,  9.47355800e-04f, 
     5.05648999e-04f,  8.71717787e-05f, -3.06898180e-04f, -6.75860098e-04f, 
    -1.01890085e-03f, -1.33559821e-03f, -1.62569127e-03f, -1.88903110e-03f, 
    -2.12566882e-03f, -2.33586837e-03f, -2.51994634e-03f, -2.67847327e-03f, 
    -2.81206024e-03f, -2.92158896e-03f, -3.00780666e-03f, -3.07178305e-03f, 
    -3.11458434e-03f, -3.13733586e-03f, -3.14128475e-03f, -3.12765204e-03f, 
    -3.09779929e-03f, -3.05301558e-03f, -2.99462458e-03f, -2.92406403e-03f, 
    -2.84257871e-03f, -2.75153158e-03f, -2.65226192e-03f, -2.54604790e-03f, 
    -2.43422548e-03f, -2.31772464e-03f, -2.19792042e-03f, -2.07582497e-03f, 
    -1.95235971e-03f, -1.82869526e-03f, -1.70558604e-03f, -1.58379230e-03f, 
    -1.46426190e-03f, -1.34734112e-03f, -1.23381280e-03f, -1.12427531e-03f, 
    -1.01913318e-03f, -9.18609094e-04f, -8.23082006e-04f, -7.33108663e-04f, 
    -6.48389977e-04f, -5.69283876e-04f, -4.95730641e-04f, -4.27893373e-04f, 
    -3.65814992e-04f, -3.08550990e-04f, -2.57400365e-04f, -6.22554836e-04f, 
};
 
// Minimum-phase equiripple FIR lowpass
// taps = 128, phases = 32
//
// passband = 20.8khz @ 44.1khz sample rate
// stopband = 22.25khz @ 44.1khz sample rate
// passband ripple = +-0.01dB
// stopband attn = -120dB (-60dB at Fs/2)
//
static const int PROTOTYPE_TAPS_MQ = 128;   // filter taps per phase
static const int PROTOTYPE_PHASES_MQ = 32;  // oversampling factor
static const int PROTOTYPE_COEFS_MQ = PROTOTYPE_TAPS_MQ * PROTOTYPE_PHASES_MQ;
 
static const float prototypeFilterMQ[PROTOTYPE_COEFS_MQ] = {
     0.00000000e+00f,  2.57738229e-05f,  2.28312635e-05f,  3.29301720e-05f, 
     4.62792766e-05f,  6.28392813e-05f,  8.34298526e-05f,  1.09345366e-04f, 
     1.40765613e-04f,  1.79085823e-04f,  2.25515927e-04f,  2.80686140e-04f, 
     3.46440184e-04f,  4.24213060e-04f,  5.15679758e-04f,  6.22703072e-04f, 
     7.47248606e-04f,  8.91648830e-04f,  1.05819097e-03f,  1.24970360e-03f, 
     1.46896184e-03f,  1.71909900e-03f,  2.00352112e-03f,  2.32585325e-03f, 
     2.69004589e-03f,  3.10009770e-03f,  3.56066709e-03f,  4.07650766e-03f, 
     4.65266984e-03f,  5.29443820e-03f,  6.00761218e-03f,  6.79817892e-03f, 
     7.67241666e-03f,  8.63705786e-03f,  9.69902462e-03f,  1.08655464e-02f, 
     1.21441926e-02f,  1.35431147e-02f,  1.50703831e-02f,  1.67342248e-02f, 
     1.85434518e-02f,  2.05073885e-02f,  2.26351995e-02f,  2.49359480e-02f, 
     2.74195152e-02f,  3.00957201e-02f,  3.29746797e-02f,  3.60660148e-02f, 
     3.93800865e-02f,  4.29269667e-02f,  4.67167355e-02f,  5.07595322e-02f, 
     5.50652027e-02f,  5.96435730e-02f,  6.45041914e-02f,  6.96563995e-02f, 
     7.51092741e-02f,  8.08713050e-02f,  8.69506086e-02f,  9.33550143e-02f, 
     1.00091521e-01f,  1.07166524e-01f,  1.14585856e-01f,  1.22354427e-01f, 
     1.30476332e-01f,  1.38954781e-01f,  1.47791858e-01f,  1.56988836e-01f, 
     1.66545712e-01f,  1.76461162e-01f,  1.86732857e-01f,  1.97356887e-01f, 
     2.08328235e-01f,  2.19640042e-01f,  2.31284315e-01f,  2.43251224e-01f, 
     2.55529580e-01f,  2.68106380e-01f,  2.80966931e-01f,  2.94094913e-01f, 
     3.07472157e-01f,  3.21078662e-01f,  3.34892936e-01f,  3.48891418e-01f, 
     3.63048947e-01f,  3.77338339e-01f,  3.91731016e-01f,  4.06196375e-01f, 
     4.20702327e-01f,  4.35214921e-01f,  4.49698829e-01f,  4.64117192e-01f, 
     4.78431501e-01f,  4.92602156e-01f,  5.06588058e-01f,  5.20347244e-01f, 
     5.33836291e-01f,  5.47011324e-01f,  5.59827304e-01f,  5.72238858e-01f, 
     5.84199812e-01f,  5.95663881e-01f,  6.06584530e-01f,  6.16915479e-01f, 
     6.26610227e-01f,  6.35623009e-01f,  6.43908415e-01f,  6.51422044e-01f, 
     6.58120303e-01f,  6.63960857e-01f,  6.68902787e-01f,  6.72906783e-01f, 
     6.75935360e-01f,  6.77953091e-01f,  6.78926764e-01f,  6.78825652e-01f, 
     6.77621638e-01f,  6.75289589e-01f,  6.71807256e-01f,  6.67155714e-01f, 
     6.61319462e-01f,  6.54286514e-01f,  6.46048652e-01f,  6.36601561e-01f, 
     6.25944910e-01f,  6.14082478e-01f,  6.01022343e-01f,  5.86776774e-01f, 
     5.71362584e-01f,  5.54800895e-01f,  5.37117377e-01f,  5.18342181e-01f, 
     4.98509921e-01f,  4.77659701e-01f,  4.55834999e-01f,  4.33083714e-01f, 
     4.09457911e-01f,  3.85013844e-01f,  3.59811788e-01f,  3.33915906e-01f, 
     3.07393970e-01f,  2.80317366e-01f,  2.52760583e-01f,  2.24801315e-01f, 
     1.96519969e-01f,  1.67999385e-01f,  1.39324761e-01f,  1.10583043e-01f, 
     8.18628436e-02f,  5.32540056e-02f,  2.48471803e-02f, -3.26636649e-03f, 
    -3.09952967e-02f, -5.82485562e-02f, -8.49355930e-02f, -1.10967034e-01f, 
    -1.36254903e-01f, -1.60712966e-01f, -1.84257387e-01f, -2.06806776e-01f, 
    -2.28282907e-01f, -2.48610910e-01f, -2.67719669e-01f, -2.85542260e-01f, 
    -3.02016257e-01f, -3.17084071e-01f, -3.30693194e-01f, -3.42796661e-01f, 
    -3.53353212e-01f, -3.62327576e-01f, -3.69690653e-01f, -3.75419813e-01f, 
    -3.79499075e-01f, -3.81919103e-01f, -3.82677491e-01f, -3.81778733e-01f, 
    -3.79234384e-01f, -3.75063017e-01f, -3.69290152e-01f, -3.61948304e-01f, 
    -3.53076910e-01f, -3.42722096e-01f, -3.30936620e-01f, -3.17779633e-01f, 
    -3.03316514e-01f, -2.87618587e-01f, -2.70762756e-01f, -2.52831320e-01f, 
    -2.33911539e-01f, -2.14095259e-01f, -1.93478520e-01f, -1.72161169e-01f, 
    -1.50246285e-01f, -1.27839839e-01f, -1.05050082e-01f, -8.19871599e-02f, 
    -5.87624360e-02f, -3.54880619e-02f, -1.22764049e-02f,  1.07605263e-02f, 
     3.35116028e-02f,  5.58671830e-02f,  7.77196474e-02f,  9.89638589e-02f, 
     1.19497902e-01f,  1.39223354e-01f,  1.58046039e-01f,  1.75876344e-01f, 
     1.92629792e-01f,  2.08227445e-01f,  2.22596376e-01f,  2.35669935e-01f, 
     2.47388321e-01f,  2.57698757e-01f,  2.66555789e-01f,  2.73921619e-01f, 
     2.79766215e-01f,  2.84067669e-01f,  2.86812042e-01f,  2.87993788e-01f, 
     2.87615536e-01f,  2.85688209e-01f,  2.82230951e-01f,  2.77271050e-01f, 
     2.70843807e-01f,  2.62992310e-01f,  2.53767274e-01f,  2.43226727e-01f, 
     2.31435732e-01f,  2.18465973e-01f,  2.04395453e-01f,  1.89308050e-01f, 
     1.73292986e-01f,  1.56444403e-01f,  1.38860793e-01f,  1.20644581e-01f, 
     1.01901339e-01f,  8.27393357e-02f,  6.32689072e-02f,  4.36018454e-02f, 
     2.38507071e-02f,  4.12822827e-03f, -1.54533490e-02f, -3.47829031e-02f, 
    -5.37510504e-02f, -7.22508561e-02f, -9.01782817e-02f, -1.07433017e-01f, 
    -1.23918854e-01f, -1.39544366e-01f, -1.54223358e-01f, -1.67875437e-01f, 
    -1.80426472e-01f, -1.91808926e-01f, -2.01962423e-01f, -2.10833914e-01f, 
    -2.18378136e-01f, -2.24557777e-01f, -2.29343716e-01f, -2.32715250e-01f, 
    -2.34660116e-01f, -2.35174592e-01f, -2.34263552e-01f, -2.31940408e-01f, 
    -2.28226909e-01f, -2.23153240e-01f, -2.16757610e-01f, -2.09086092e-01f, 
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     5.62944333e-04f,  5.54966288e-04f,  5.42209838e-04f,  5.24790563e-04f, 
     5.02873830e-04f,  4.76708610e-04f,  4.46521001e-04f,  4.12650276e-04f, 
     3.75358170e-04f,  3.35013907e-04f,  2.91997251e-04f,  2.46695035e-04f, 
     1.99507857e-04f,  1.50889553e-04f,  1.01231956e-04f,  5.10047602e-05f, 
     6.33587302e-07f, -4.94259002e-05f, -9.87418814e-05f, -1.46889490e-04f, 
    -1.93470217e-04f, -2.38065458e-04f, -2.80305060e-04f, -3.19836003e-04f, 
    -3.56327452e-04f, -3.89502317e-04f, -4.19041782e-04f, -4.44759447e-04f, 
    -4.66423158e-04f, -4.83886447e-04f, -4.97011387e-04f, -5.05730787e-04f, 
    -5.09963720e-04f, -5.09717728e-04f, -5.05043322e-04f, -4.95963142e-04f, 
    -4.82639446e-04f, -4.65152875e-04f, -4.43733866e-04f, -4.18567153e-04f, 
    -3.89890304e-04f, -3.57996097e-04f, -3.23170997e-04f, -2.85736681e-04f, 
    -2.46055002e-04f, -2.04445682e-04f, -1.61320963e-04f, -1.17042529e-04f, 
    -7.20188676e-05f, -2.66396241e-05f,  1.86912290e-05f,  6.36017948e-05f, 
     1.07665176e-04f,  1.50514890e-04f,  1.91812013e-04f,  2.31174729e-04f, 
     2.68275281e-04f,  3.02820173e-04f,  3.34517215e-04f,  3.63107193e-04f, 
     3.88350390e-04f,  4.10051248e-04f,  4.28044624e-04f,  4.42214263e-04f, 
     4.52417167e-04f,  4.58637799e-04f,  4.60811960e-04f,  4.58959019e-04f, 
     4.53110813e-04f,  4.43353615e-04f,  4.29788076e-04f,  4.12573604e-04f, 
     3.91837458e-04f,  3.67827680e-04f,  3.40742776e-04f,  3.10878990e-04f, 
     2.78464465e-04f,  2.43800376e-04f,  2.07253019e-04f,  1.69099894e-04f, 
     1.29702525e-04f,  8.93909104e-05f,  4.85743353e-05f,  7.55415142e-06f, 
    -3.32831786e-05f, -7.36072164e-05f, -1.13043176e-04f, -1.51234384e-04f, 
    -1.87933888e-04f, -2.22751408e-04f, -2.55424048e-04f, -2.85707115e-04f, 
    -3.13301151e-04f, -3.38018882e-04f, -3.59650405e-04f, -3.78009094e-04f, 
    -3.93005971e-04f, -4.04467563e-04f, -4.12352296e-04f, -4.16625213e-04f, 
    -4.17213487e-04f, -4.14188932e-04f, -4.07570766e-04f, -3.97428285e-04f, 
    -3.83928030e-04f, -3.67135876e-04f, -3.47267227e-04f, -3.24463119e-04f, 
    -2.98994961e-04f, -2.71043298e-04f, -2.40926487e-04f, -2.08843709e-04f, 
    -1.75152575e-04f, -1.40107049e-04f, -1.04080472e-04f, -6.73135829e-05f, 
    -3.01948541e-05f,  7.00871665e-06f,  4.39240599e-05f,  8.02943349e-05f, 
     1.15726815e-04f,  1.49966848e-04f,  1.82710879e-04f,  2.13703334e-04f, 
     2.42653106e-04f,  2.69351388e-04f,  2.93549873e-04f,  3.15102924e-04f, 
     3.33768751e-04f,  3.49447907e-04f,  3.62019988e-04f,  3.71363176e-04f, 
     3.77445082e-04f,  3.80209433e-04f,  3.79656986e-04f,  3.75829456e-04f, 
     3.68740564e-04f,  3.58494796e-04f,  3.45203622e-04f,  3.28976671e-04f, 
     3.09977680e-04f,  2.88380075e-04f,  2.64390378e-04f,  2.38244599e-04f, 
     2.10143730e-04f,  1.80382945e-04f,  1.49191334e-04f,  1.16874433e-04f, 
     8.36939641e-05f,  4.99545687e-05f,  1.59419682e-05f, -1.80487956e-05f, 
    -5.17116932e-05f, -8.47731419e-05f, -1.16937183e-04f, -1.47911960e-04f, 
    -1.77490349e-04f, -2.05400357e-04f, -2.31387402e-04f, -2.55252058e-04f, 
    -2.76804796e-04f, -2.95856747e-04f, -3.12270197e-04f, -3.25902725e-04f, 
    -3.36672987e-04f, -3.44466047e-04f, -3.49280604e-04f, -3.51026811e-04f, 
    -3.49738846e-04f, -3.45444097e-04f, -3.38175670e-04f, -3.28025304e-04f, 
    -3.15107780e-04f, -2.99483932e-04f, -2.81389775e-04f, -2.60907140e-04f, 
    -2.38309091e-04f, -2.13697965e-04f, -1.87369701e-04f, -1.59547138e-04f, 
    -1.30435290e-04f, -1.00336342e-04f, -6.95075165e-05f, -3.81891347e-05f, 
    -6.66316342e-06f,  2.48005967e-05f,  5.59093608e-05f,  8.64381970e-05f, 
     1.16084478e-04f,  1.44629782e-04f,  1.71817136e-04f,  1.97430379e-04f, 
     2.21249248e-04f,  2.43067483e-04f,  2.62714805e-04f,  2.80037512e-04f, 
     2.94912411e-04f,  3.07154450e-04f,  3.16770812e-04f,  3.23565757e-04f, 
     3.27598190e-04f,  3.28781884e-04f,  3.27137017e-04f,  3.22671504e-04f, 
     3.15478482e-04f,  3.05561179e-04f,  2.93071243e-04f,  2.78072214e-04f, 
     2.60752421e-04f,  2.41204026e-04f,  2.19657587e-04f,  1.96274763e-04f, 
     1.71259618e-04f,  1.44829587e-04f,  1.17207736e-04f,  8.86396900e-05f, 
     5.93848595e-05f,  2.96756971e-05f, -2.55974213e-07f, -3.01364040e-05f, 
    -5.97095986e-05f, -8.87016361e-05f, -1.16938981e-04f, -1.44121097e-04f, 
    -1.70042060e-04f, -1.94504049e-04f, -2.17285275e-04f, -2.38190653e-04f, 
    -2.57074514e-04f, -2.73769854e-04f, -2.88131929e-04f, -3.00067778e-04f, 
    -3.09445066e-04f, -3.16238251e-04f, -3.20350572e-04f, -3.21779258e-04f, 
    -3.20521292e-04f, -3.16575228e-04f, -3.09991670e-04f, -3.00802605e-04f, 
    -2.89147820e-04f, -2.75068336e-04f, -2.58722607e-04f, -2.40234254e-04f, 
    -2.19762234e-04f, -1.97484144e-04f, -1.73586378e-04f, -1.48283187e-04f, 
    -1.21767035e-04f, -9.42546438e-05f, -6.59849449e-05f, -3.72382910e-05f, 
    -8.18708029e-06f,  2.09018928e-05f,  4.97856427e-05f,  7.82043260e-05f, 
     1.05945996e-04f,  1.32796055e-04f,  1.58498048e-04f,  1.82852505e-04f, 
     2.05652703e-04f,  2.26725402e-04f,  2.45875363e-04f,  2.62957031e-04f, 
     2.77828957e-04f,  2.90361412e-04f,  3.00450626e-04f,  3.07979930e-04f, 
     3.12961709e-04f,  3.15260735e-04f,  3.14925301e-04f,  3.11915939e-04f, 
     3.06269493e-04f,  2.97998031e-04f,  2.87169055e-04f,  2.73915388e-04f, 
     2.58278031e-04f,  2.40399328e-04f,  2.20409753e-04f,  1.98478187e-04f, 
     1.74739784e-04f,  1.49434544e-04f,  1.22685308e-04f,  9.47715675e-05f, 
     6.58537103e-05f,  3.61749072e-05f,  5.97746474e-06f, -2.45162183e-05f, 
    -5.50707960e-05f, -8.54546076e-05f, -1.15437977e-04f, -1.44752181e-04f, 
    -1.73217230e-04f, -2.00586450e-04f, -2.26666528e-04f, -2.51224767e-04f, 
    -2.74099533e-04f, -2.95109231e-04f, -3.14079824e-04f, -3.30869553e-04f, 
    -3.45369337e-04f, -3.57422987e-04f, -3.66953155e-04f, -3.73911775e-04f, 
    -3.78220230e-04f, -3.79850587e-04f, -3.78754989e-04f, -3.74987358e-04f, 
    -3.68568872e-04f, -3.59511330e-04f, -3.47888205e-04f, -3.33821666e-04f, 
    -3.17386918e-04f, -2.98721551e-04f, -2.77916847e-04f, -2.55178573e-04f, 
    -2.30688519e-04f, -2.04596855e-04f, -1.77101686e-04f, -1.48416144e-04f, 
    -1.18791903e-04f, -8.83978597e-05f, -5.74821966e-05f, -2.62868833e-05f, 
     4.92815189e-06f,  3.59504591e-05f,  6.65434569e-05f,  9.64155022e-05f, 
     1.25420450e-04f,  1.53244448e-04f,  1.79726500e-04f,  2.04644719e-04f, 
     2.27732573e-04f,  2.48876343e-04f,  2.67856021e-04f,  2.84480504e-04f, 
     2.98654254e-04f,  3.10195638e-04f,  3.18997467e-04f,  3.24986682e-04f, 
     3.28010014e-04f,  3.28075276e-04f,  3.25081644e-04f,  3.18989006e-04f, 
     3.09862065e-04f,  2.97618732e-04f,  2.82358452e-04f,  2.64078432e-04f, 
     2.42867446e-04f,  2.18818442e-04f,  1.92028457e-04f,  1.62575887e-04f, 
     1.30632731e-04f,  9.63241083e-05f,  5.98270577e-05f,  2.13018198e-05f, 
    -1.90650636e-05f, -6.10476572e-05f, -1.04504009e-04f, -1.49141212e-04f, 
    -1.94818380e-04f, -2.41269356e-04f, -2.88284124e-04f, -3.35636339e-04f, 
    -3.83078353e-04f, -4.30375313e-04f, -4.77325331e-04f, -5.23684425e-04f, 
    -5.69213416e-04f, -6.13776473e-04f, -6.57085679e-04f, -6.98973293e-04f, 
    -7.39240301e-04f, -7.77721569e-04f, -8.14237506e-04f, -8.48630685e-04f, 
    -8.80760950e-04f, -9.10481345e-04f, -9.37672148e-04f, -9.62299433e-04f, 
    -9.84157343e-04f, -1.00327325e-03f, -1.01946138e-03f, -1.03289356e-03f, 
    -1.04338135e-03f, -1.05093085e-03f, -1.05547810e-03f, -1.05718776e-03f, 
    -1.05596199e-03f, -1.05199493e-03f, -1.04512596e-03f, -1.03564457e-03f, 
    -1.02347745e-03f, -1.00881749e-03f, -9.91651851e-04f, -9.72214477e-04f, 
    -9.50589764e-04f, -9.26823063e-04f, -9.01169667e-04f, -8.73693053e-04f, 
    -8.44651495e-04f, -8.14015623e-04f, -7.82096657e-04f, -7.48978970e-04f, 
    -7.14918806e-04f, -6.79915120e-04f, -6.44197160e-04f, -6.07973052e-04f, 
    -5.71340571e-04f, -5.34494985e-04f, -4.97625899e-04f, -4.60763150e-04f, 
    -4.24154408e-04f, -3.87781959e-04f, -3.51977273e-04f, -3.16708720e-04f, 
    -2.82209173e-04f, -2.48453876e-04f, -2.15649909e-04f, -1.83919068e-04f, 
    -1.53211006e-04f, -1.23682813e-04f, -9.53777996e-05f, -6.83598308e-05f, 
    -4.27405102e-05f, -1.84644678e-05f,  4.40560628e-06f,  2.57526124e-05f, 
     4.57070844e-05f,  6.42470547e-05f,  8.12438667e-05f,  9.67784543e-05f, 
     1.10883532e-04f,  1.23557473e-04f,  1.34866254e-04f,  1.44751012e-04f, 
     1.53323607e-04f,  1.60602540e-04f,  1.66572422e-04f,  1.71555319e-04f, 
     1.75228695e-04f,  1.77785942e-04f,  1.79287868e-04f,  1.80066421e-04f, 
     1.79856554e-04f,  1.78600745e-04f,  1.76640402e-04f,  1.74149693e-04f, 
     1.70998956e-04f,  1.67101361e-04f,  1.62736605e-04f,  1.57955365e-04f, 
     1.52783832e-04f,  1.47235562e-04f,  1.41440247e-04f,  1.35411748e-04f, 
     1.29174003e-04f,  1.22883471e-04f,  1.16507352e-04f,  1.10062224e-04f, 
     1.03554135e-04f,  9.72109292e-05f,  9.09057438e-05f,  8.47069282e-05f, 
     7.86275439e-05f,  7.27295443e-05f,  6.70460602e-05f,  6.14870567e-05f, 
     5.62358268e-05f,  5.11680423e-05f,  4.63971100e-05f,  4.18604282e-05f, 
     3.75581730e-05f,  3.34956971e-05f,  2.95613583e-05f,  2.62367667e-05f, 
     2.30173784e-05f,  1.99216834e-05f,  1.73717570e-05f,  1.47187235e-05f, 
     1.23944987e-05f,  1.06041654e-05f,  8.75464375e-06f,  1.94324625e-05f, 
};
 
// Minimum-phase equiripple FIR lowpass
// taps = 256, phases = 32
//
// passband = 21.2khz @ 44.1khz sample rate
// stopband = 22.05khz @ 44.1khz sample rate
// passband ripple = +-0.001dB
// stopband attn = -135dB (-135dB at Fs/2)
//
static const int PROTOTYPE_TAPS_HQ = 256;   // filter taps per phase
static const int PROTOTYPE_PHASES_HQ = 32;  // oversampling factor
static const int PROTOTYPE_COEFS_HQ = PROTOTYPE_TAPS_HQ * PROTOTYPE_PHASES_HQ;
 
static const float prototypeFilterHQ[PROTOTYPE_COEFS_HQ] = {
     0.00000000e+00f,  7.82908769e-06f,  7.28176266e-06f,  1.07449725e-05f, 
     1.52222792e-05f,  2.11850838e-05f,  2.88176966e-05f,  3.80923450e-05f, 
     4.97920921e-05f,  6.42833231e-05f,  8.18942927e-05f,  1.03211598e-04f, 
     1.29000130e-04f,  1.59719530e-04f,  1.96378420e-04f,  2.39788059e-04f, 
     2.90953278e-04f,  3.50863233e-04f,  4.20592960e-04f,  5.01752399e-04f, 
     5.95703058e-04f,  7.03797471e-04f,  8.28140774e-04f,  9.70348652e-04f, 
     1.13264991e-03f,  1.31718664e-03f,  1.52630338e-03f,  1.76300052e-03f, 
     2.02969181e-03f,  2.32964031e-03f,  2.66603531e-03f,  3.04236664e-03f, 
     3.46231155e-03f,  3.92998981e-03f,  4.44950681e-03f,  5.02528519e-03f, 
     5.66219451e-03f,  6.36514537e-03f,  7.13938950e-03f,  7.99056480e-03f, 
     8.92439190e-03f,  9.94701596e-03f,  1.10647386e-02f,  1.22842046e-02f, 
     1.36122817e-02f,  1.50560309e-02f,  1.66229525e-02f,  1.83205387e-02f, 
     2.01566839e-02f,  2.21394134e-02f,  2.42770339e-02f,  2.65778849e-02f, 
     2.90505606e-02f,  3.17037518e-02f,  3.45463004e-02f,  3.75870907e-02f, 
     4.08349765e-02f,  4.42990119e-02f,  4.79881271e-02f,  5.19111396e-02f, 
     5.60768727e-02f,  6.04939955e-02f,  6.51709749e-02f,  7.01160330e-02f, 
     7.53371435e-02f,  8.08419562e-02f,  8.66377327e-02f,  9.27312701e-02f, 
     9.91289851e-02f,  1.05836621e-01f,  1.12859440e-01f,  1.20201896e-01f, 
     1.27867908e-01f,  1.35860402e-01f,  1.44181680e-01f,  1.52832949e-01f, 
     1.61814693e-01f,  1.71126001e-01f,  1.80765335e-01f,  1.90729627e-01f, 
     2.01014907e-01f,  2.11615782e-01f,  2.22525677e-01f,  2.33736611e-01f, 
     2.45239272e-01f,  2.57022802e-01f,  2.69075057e-01f,  2.81382301e-01f, 
     2.93929270e-01f,  3.06699203e-01f,  3.19673716e-01f,  3.32832870e-01f, 
     3.46155240e-01f,  3.59617774e-01f,  3.73195743e-01f,  3.86863065e-01f, 
     4.00591916e-01f,  4.14353246e-01f,  4.28116278e-01f,  4.41849016e-01f, 
     4.55518027e-01f,  4.69088631e-01f,  4.82524865e-01f,  4.95789631e-01f, 
     5.08844817e-01f,  5.21651492e-01f,  5.34169621e-01f,  5.46358635e-01f, 
     5.58177219e-01f,  5.69583686e-01f,  5.80535950e-01f,  5.90991716e-01f, 
     6.00908651e-01f,  6.10244555e-01f,  6.18957464e-01f,  6.27005856e-01f, 
     6.34348801e-01f,  6.40946176e-01f,  6.46758845e-01f,  6.51748774e-01f, 
     6.55879320e-01f,  6.59115296e-01f,  6.61423245e-01f,  6.62771568e-01f, 
     6.63130805e-01f,  6.62473708e-01f,  6.60775471e-01f,  6.58013837e-01f, 
     6.54169451e-01f,  6.49225726e-01f,  6.43169353e-01f,  6.35990116e-01f, 
     6.27681230e-01f,  6.18239388e-01f,  6.07664975e-01f,  5.95961980e-01f, 
     5.83138296e-01f,  5.69205684e-01f,  5.54179890e-01f,  5.38080623e-01f, 
     5.20931602e-01f,  5.02760718e-01f,  4.83599775e-01f,  4.63484712e-01f, 
     4.42455456e-01f,  4.20555714e-01f,  3.97833338e-01f,  3.74339708e-01f, 
     3.50130001e-01f,  3.25262903e-01f,  2.99800426e-01f,  2.73807858e-01f, 
     2.47353467e-01f,  2.20508390e-01f,  1.93346338e-01f,  1.65943344e-01f, 
     1.38377644e-01f,  1.10729195e-01f,  8.30795947e-02f,  5.55116619e-02f, 
     2.81090689e-02f,  9.56318558e-04f, -2.58619614e-02f, -5.22612046e-02f, 
    -7.81571503e-02f, -1.03466311e-01f, -1.28106344e-01f, -1.51996375e-01f, 
    -1.75057282e-01f, -1.97212162e-01f, -2.18386708e-01f, -2.38509363e-01f, 
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     1.77711958e-06f,  1.46469468e-06f,  1.20152884e-06f,  2.38427033e-06f, 
};
 
typedef struct {
    int taps;
    int phases;
    int coefs;
    const float* filter;
} filter_t;
 
static filter_t prototypeFilterTable[3] = {
    { PROTOTYPE_TAPS_LQ, PROTOTYPE_PHASES_LQ, PROTOTYPE_COEFS_LQ, prototypeFilterLQ },
    { PROTOTYPE_TAPS_MQ, PROTOTYPE_PHASES_MQ, PROTOTYPE_COEFS_MQ, prototypeFilterMQ },
    { PROTOTYPE_TAPS_HQ, PROTOTYPE_PHASES_HQ, PROTOTYPE_COEFS_HQ, prototypeFilterHQ },
};