/* ---------------------------------------------------------------------- * Copyright (C) 2010 ARM Limited. All rights reserved. * * $Date: 15. February 2012 * $Revision: V1.1.0 * * Project: CMSIS DSP Library * Title: arm_common_tables.c * * Description: This file has common tables like fft twiddle factors, Bitreverse, reciprocal etc which are used across different functions * * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 * * Version 1.1.0 2012/02/15 * Updated with more optimizations, bug fixes and minor API changes. * * Version 1.0.10 2011/7/15 * Big Endian support added and Merged M0 and M3/M4 Source code. * * Version 1.0.3 2010/11/29 * Re-organized the CMSIS folders and updated documentation. * * Version 1.0.2 2010/11/11 * Documentation updated. * * Version 1.0.1 2010/10/05 * Production release and review comments incorporated. * * Version 1.0.0 2010/09/20 * Production release and review comments incorporated. * -------------------------------------------------------------------- */ #include "arm_math.h" #include "arm_common_tables.h" /** * @ingroup groupTransforms */ /** * @addtogroup CFFT_CIFFT Complex FFT Tables * @{ */ /** * \par * Pseudo code for Generation of Bit reversal Table is * \par *
for(l=1;l <= N/4;l++) * { * for(i=0;i* \par * where N = 4096 logN2 = 12 * \par * N is the maximum FFT Size supported */ /* * @brief Table for bit reversal process */ const uint16_t armBitRevTable[1024] = { 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x80, 0x480, 0x280, 0x680, 0x180, 0x580, 0x380, 0x780, 0x40, 0x440, 0x240, 0x640, 0x140, 0x540, 0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0, 0x7c0, 0x20, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0xa0, 0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460, 0x260, 0x660, 0x160, 0x560, 0x360, 0x760, 0xe0, 0x4e0, 0x2e0, 0x6e0, 0x1e0, 0x5e0, 0x3e0, 0x7e0, 0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, 0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x50, 0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, 0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230, 0x630, 0x130, 0x530, 0x330, 0x730, 0xb0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, 0x7b0, 0x70, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0xf0, 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x8, 0x408, 0x208, 0x608, 0x108, 0x508, 0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188, 0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348, 0x748, 0xc8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, 0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8, 0x4a8, 0x2a8, 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x68, 0x468, 0x268, 0x668, 0x168, 0x568, 0x368, 0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8, 0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x98, 0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258, 0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8, 0x2d8, 0x6d8, 0x1d8, 0x5d8, 0x3d8, 0x7d8, 0x38, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, 0x738, 0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x78, 0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0xf8, 0x4f8, 0x2f8, 0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604, 0x104, 0x504, 0x304, 0x704, 0x84, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384, 0x784, 0x44, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4, 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x24, 0x424, 0x224, 0x624, 0x124, 0x524, 0x324, 0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, 0x5a4, 0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364, 0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, 0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494, 0x294, 0x694, 0x194, 0x594, 0x394, 0x794, 0x54, 0x454, 0x254, 0x654, 0x154, 0x554, 0x354, 0x754, 0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, 0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0xb4, 0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, 0x674, 0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4, 0x6f4, 0x1f4, 0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, 0x70c, 0x8c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x4c, 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0xcc, 0x4cc, 0x2cc, 0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c, 0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac, 0x7ac, 0x6c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, 0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c, 0x41c, 0x21c, 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x9c, 0x49c, 0x29c, 0x69c, 0x19c, 0x59c, 0x39c, 0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c, 0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x3c, 0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc, 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c, 0x27c, 0x67c, 0x17c, 0x57c, 0x37c, 0x77c, 0xfc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, 0x7fc, 0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x82, 0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x42, 0x442, 0x242, 0x642, 0x142, 0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2, 0x1c2, 0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322, 0x722, 0xa2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62, 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0xe2, 0x4e2, 0x2e2, 0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, 0x512, 0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392, 0x792, 0x52, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0xd2, 0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432, 0x232, 0x632, 0x132, 0x532, 0x332, 0x732, 0xb2, 0x4b2, 0x2b2, 0x6b2, 0x1b2, 0x5b2, 0x3b2, 0x7b2, 0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372, 0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0xa, 0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, 0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a, 0x64a, 0x14a, 0x54a, 0x34a, 0x74a, 0xca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, 0x7ca, 0x2a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0xaa, 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x6a, 0x46a, 0x26a, 0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea, 0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a, 0x71a, 0x9a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, 0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda, 0x4da, 0x2da, 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x3a, 0x43a, 0x23a, 0x63a, 0x13a, 0x53a, 0x33a, 0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba, 0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0xfa, 0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206, 0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486, 0x286, 0x686, 0x186, 0x586, 0x386, 0x786, 0x46, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346, 0x746, 0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x26, 0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0xa6, 0x4a6, 0x2a6, 0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666, 0x166, 0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6, 0x7e6, 0x16, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96, 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x56, 0x456, 0x256, 0x656, 0x156, 0x556, 0x356, 0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, 0x5d6, 0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336, 0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, 0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6, 0x2f6, 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe, 0x40e, 0x20e, 0x60e, 0x10e, 0x50e, 0x30e, 0x70e, 0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e, 0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0xce, 0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, 0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae, 0x6ae, 0x1ae, 0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e, 0x76e, 0xee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x1e, 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x9e, 0x49e, 0x29e, 0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e, 0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de, 0x7de, 0x3e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, 0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e, 0x47e, 0x27e, 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, 0x5fe, 0x3fe, 0x7fe, 0x1 }; /* * @brief Floating-point Twiddle factors Table Generation */ /** * \par * Example code for Floating-point Twiddle factors Generation: * \par *> 1; * }
for(i = 0; i< 3N/4; i++) * { * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are in interleaved fashion * */ const float32_t twiddleCoef[6144] = { 1.000000000000000000f, 0.000000000000000000f, 0.999998823451701880f, 0.001533980186284766f, 0.999995293809576190f, 0.003067956762965976f, 0.999989411081928400f, 0.004601926120448571f, 0.999981175282601110f, 0.006135884649154475f, 0.999970586430974140f, 0.007669828739531097f, 0.999957644551963900f, 0.009203754782059819f, 0.999942349676023910f, 0.010737659167264491f, 0.999924701839144500f, 0.012271538285719925f, 0.999904701082852900f, 0.013805388528060391f, 0.999882347454212560f, 0.015339206284988100f, 0.999857641005823860f, 0.016872987947281710f, 0.999830581795823400f, 0.018406729905804820f, 0.999801169887884260f, 0.019940428551514441f, 0.999769405351215280f, 0.021474080275469508f, 0.999735288260561680f, 0.023007681468839369f, 0.999698818696204250f, 0.024541228522912288f, 0.999659996743959220f, 0.026074717829103901f, 0.999618822495178640f, 0.027608145778965740f, 0.999575296046749220f, 0.029141508764193722f, 0.999529417501093140f, 0.030674803176636626f, 0.999481186966166950f, 0.032208025408304586f, 0.999430604555461730f, 0.033741171851377580f, 0.999377670388002850f, 0.035274238898213947f, 0.999322384588349540f, 0.036807222941358832f, 0.999264747286594420f, 0.038340120373552694f, 0.999204758618363890f, 0.039872927587739811f, 0.999142418724816910f, 0.041405640977076739f, 0.999077727752645360f, 0.042938256934940820f, 0.999010685854073380f, 0.044470771854938668f, 0.998941293186856870f, 0.046003182130914623f, 0.998869549914283560f, 0.047535484156959303f, 0.998795456205172410f, 0.049067674327418015f, 0.998719012233872940f, 0.050599749036899282f, 0.998640218180265270f, 0.052131704680283324f, 0.998559074229759310f, 0.053663537652730520f, 0.998475580573294770f, 0.055195244349689934f, 0.998389737407340160f, 0.056726821166907748f, 0.998301544933892890f, 0.058258264500435752f, 0.998211003360478190f, 0.059789570746639868f, 0.998118112900149180f, 0.061320736302208578f, 0.998022873771486240f, 0.062851757564161406f, 0.997925286198596000f, 0.064382630929857465f, 0.997825350411111640f, 0.065913352797003805f, 0.997723066644191640f, 0.067443919563664051f, 0.997618435138519550f, 0.068974327628266746f, 0.997511456140303450f, 0.070504573389613856f, 0.997402129901275300f, 0.072034653246889332f, 0.997290456678690210f, 0.073564563599667426f, 0.997176436735326190f, 0.075094300847921305f, 0.997060070339482960f, 0.076623861392031492f, 0.996941357764982160f, 0.078153241632794232f, 0.996820299291165670f, 0.079682437971430126f, 0.996696895202896060f, 0.081211446809592441f, 0.996571145790554840f, 0.082740264549375692f, 0.996443051350042630f, 0.084268887593324071f, 0.996312612182778000f, 0.085797312344439894f, 0.996179828595696980f, 0.087325535206192059f, 0.996044700901251970f, 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-0.050599749036899455f, -0.998719012233872940f, -0.049067674327418029f, -0.998795456205172410f, -0.047535484156959157f, -0.998869549914283560f, -0.046003182130915206f, -0.998941293186856870f, -0.044470771854939084f, -0.999010685854073270f, -0.042938256934941084f, -0.999077727752645360f, -0.041405640977076837f, -0.999142418724816910f, -0.039872927587739748f, -0.999204758618363890f, -0.038340120373552472f, -0.999264747286594420f, -0.036807222941359331f, -0.999322384588349430f, -0.035274238898214294f, -0.999377670388002850f, -0.033741171851377760f, -0.999430604555461730f, -0.032208025408304600f, -0.999481186966166950f, -0.030674803176636484f, -0.999529417501093140f, -0.029141508764194309f, -0.999575296046749220f, -0.027608145778966163f, -0.999618822495178640f, -0.026074717829104161f, -0.999659996743959220f, -0.024541228522912389f, -0.999698818696204250f, -0.023007681468839310f, -0.999735288260561680f, -0.021474080275469286f, -0.999769405351215280f, -0.019940428551514944f, -0.999801169887884260f, -0.018406729905805164f, -0.999830581795823400f, -0.016872987947281894f, -0.999857641005823860f, -0.015339206284988121f, -0.999882347454212560f, -0.013805388528060250f, -0.999904701082852900f, -0.012271538285720512f, -0.999924701839144500f, -0.010737659167264916f, -0.999942349676023910f, -0.009203754782060083f, -0.999957644551963900f, -0.007669828739531199f, -0.999970586430974140f, -0.006135884649154416f, -0.999981175282601110f, -0.004601926120448350f, -0.999989411081928400f, -0.003067956762966483f, -0.999995293809576190f, -0.001533980186285111f, -0.999998823451701880f, }; /* * @brief Q31 Twiddle factors Table */ /** * \par * Example code for Q31 Twiddle factors Generation:: * \par *
for(i = 0; i< 3N/4; i++) * { * twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N); * twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are interleaved fashion * \par * Convert Floating point to Q31(Fixed point 1.31): * round(twiddleCoefQ31(i) * pow(2, 31)) * */ const q31_t twiddleCoefQ31[6144] = { 0x7fffffff, 0x0, 0x7ffff621, 0x3243f5, 0x7fffd886, 0x6487e3, 0x7fffa72c, 0x96cbc1, 0x7fff6216, 0xc90f88, 0x7fff0943, 0xfb5330, 0x7ffe9cb2, 0x12d96b1, 0x7ffe1c65, 0x15fda03, 0x7ffd885a, 0x1921d20, 0x7ffce093, 0x1c45ffe, 0x7ffc250f, 0x1f6a297, 0x7ffb55ce, 0x228e4e2, 0x7ffa72d1, 0x25b26d7, 0x7ff97c18, 0x28d6870, 0x7ff871a2, 0x2bfa9a4, 0x7ff75370, 0x2f1ea6c, 0x7ff62182, 0x3242abf, 0x7ff4dbd9, 0x3566a96, 0x7ff38274, 0x388a9ea, 0x7ff21553, 0x3bae8b2, 0x7ff09478, 0x3ed26e6, 0x7feeffe1, 0x41f6480, 0x7fed5791, 0x451a177, 0x7feb9b85, 0x483ddc3, 0x7fe9cbc0, 0x4b6195d, 0x7fe7e841, 0x4e8543e, 0x7fe5f108, 0x51a8e5c, 0x7fe3e616, 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0xe6d5fcfc, 0x827f78d8, 0xe70747c4, 0x8275a0c0, 0xe7389665, 0x826bdc04, 0xe769e8d8, 0x82622aa6, 0xe79b3f16, 0x82588ca7, 0xe7cc9917, 0x824f0208, 0xe7fdf6d4, 0x82458acc, 0xe82f5844, 0x823c26f3, 0xe860bd61, 0x8232d67f, 0xe8922622, 0x82299971, 0xe8c39280, 0x82206fcc, 0xe8f50273, 0x82175990, 0xe92675f4, 0x820e56be, 0xe957ecfb, 0x82056758, 0xe9896781, 0x81fc8b60, 0xe9bae57d, 0x81f3c2d7, 0xe9ec66e8, 0x81eb0dbe, 0xea1debbb, 0x81e26c16, 0xea4f73ee, 0x81d9dde1, 0xea80ff7a, 0x81d16321, 0xeab28e56, 0x81c8fbd6, 0xeae4207a, 0x81c0a801, 0xeb15b5e1, 0x81b867a5, 0xeb474e81, 0x81b03ac2, 0xeb78ea52, 0x81a82159, 0xebaa894f, 0x81a01b6d, 0xebdc2b6e, 0x819828fd, 0xec0dd0a8, 0x81904a0c, 0xec3f78f6, 0x81887e9a, 0xec71244f, 0x8180c6a9, 0xeca2d2ad, 0x8179223a, 0xecd48407, 0x8171914e, 0xed063856, 0x816a13e6, 0xed37ef91, 0x8162aa04, 0xed69a9b3, 0x815b53a8, 0xed9b66b2, 0x815410d4, 0xedcd2687, 0x814ce188, 0xedfee92b, 0x8145c5c7, 0xee30ae96, 0x813ebd90, 0xee6276bf, 0x8137c8e6, 0xee9441a0, 0x8130e7c9, 0xeec60f31, 0x812a1a3a, 0xeef7df6a, 0x8123603a, 0xef29b243, 0x811cb9ca, 0xef5b87b5, 0x811626ec, 0xef8d5fb8, 0x810fa7a0, 0xefbf3a45, 0x81093be8, 0xeff11753, 0x8102e3c4, 0xf022f6da, 0x80fc9f35, 0xf054d8d5, 0x80f66e3c, 0xf086bd39, 0x80f050db, 0xf0b8a401, 0x80ea4712, 0xf0ea8d24, 0x80e450e2, 0xf11c789a, 0x80de6e4c, 0xf14e665c, 0x80d89f51, 0xf1805662, 0x80d2e3f2, 0xf1b248a5, 0x80cd3c2f, 0xf1e43d1c, 0x80c7a80a, 0xf21633c0, 0x80c22784, 0xf2482c8a, 0x80bcba9d, 0xf27a2771, 0x80b76156, 0xf2ac246e, 0x80b21baf, 0xf2de2379, 0x80ace9ab, 0xf310248a, 0x80a7cb49, 0xf342279b, 0x80a2c08b, 0xf3742ca2, 0x809dc971, 0xf3a63398, 0x8098e5fb, 0xf3d83c77, 0x8094162c, 0xf40a4735, 0x808f5a02, 0xf43c53cb, 0x808ab180, 0xf46e6231, 0x80861ca6, 0xf4a07261, 0x80819b74, 0xf4d28451, 0x807d2dec, 0xf50497fb, 0x8078d40d, 0xf536ad56, 0x80748dd9, 0xf568c45b, 0x80705b50, 0xf59add02, 0x806c3c74, 0xf5ccf743, 0x80683143, 0xf5ff1318, 0x806439c0, 0xf6313077, 0x806055eb, 0xf6634f59, 0x805c85c4, 0xf6956fb7, 0x8058c94c, 0xf6c79188, 0x80552084, 0xf6f9b4c6, 0x80518b6b, 0xf72bd967, 0x804e0a04, 0xf75dff66, 0x804a9c4d, 0xf79026b9, 0x80474248, 0xf7c24f59, 0x8043fbf6, 0xf7f4793e, 0x8040c956, 0xf826a462, 0x803daa6a, 0xf858d0bb, 0x803a9f31, 0xf88afe42, 0x8037a7ac, 0xf8bd2cef, 0x8034c3dd, 0xf8ef5cbb, 0x8031f3c2, 0xf9218d9e, 0x802f375d, 0xf953bf91, 0x802c8ead, 0xf985f28a, 0x8029f9b4, 0xf9b82684, 0x80277872, 0xf9ea5b75, 0x80250ae7, 0xfa1c9157, 0x8022b114, 0xfa4ec821, 0x80206af8, 0xfa80ffcb, 0x801e3895, 0xfab3384f, 0x801c19ea, 0xfae571a4, 0x801a0ef8, 0xfb17abc2, 0x801817bf, 0xfb49e6a3, 0x80163440, 0xfb7c223d, 0x8014647b, 0xfbae5e89, 0x8012a86f, 0xfbe09b80, 0x8011001f, 0xfc12d91a, 0x800f6b88, 0xfc45174e, 0x800deaad, 0xfc775616, 0x800c7d8c, 0xfca9956a, 0x800b2427, 0xfcdbd541, 0x8009de7e, 0xfd0e1594, 0x8008ac90, 0xfd40565c, 0x80078e5e, 0xfd729790, 0x800683e8, 0xfda4d929, 0x80058d2f, 0xfdd71b1e, 0x8004aa32, 0xfe095d69, 0x8003daf1, 0xfe3ba002, 0x80031f6d, 0xfe6de2e0, 0x800277a6, 0xfea025fd, 0x8001e39b, 0xfed2694f, 0x8001634e, 0xff04acd0, 0x8000f6bd, 0xff36f078, 0x80009dea, 0xff69343f, 0x800058d4, 0xff9b781d, 0x8000277a, 0xffcdbc0b, 0x800009df, }; /* * @brief Q15 Twiddle factors Table */ /** * \par * Example code for Q15 Twiddle factors Generation:: * \par *
for(i = 0; i< 3N/4; i++) * { * twiddleCoefQ15[2*i]= cos(i * 2*PI/(float)N); * twiddleCoefQ15[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are interleaved fashion * \par * Convert Floating point to Q15(Fixed point 1.15): * round(twiddleCoefQ15(i) * pow(2, 15)) * */ const q15_t ALIGN4 twiddleCoefQ15[6144] = { 0x7fff, 0x0, 0x7fff, 0x32, 0x7fff, 0x65, 0x7fff, 0x97, 0x7fff, 0xc9, 0x7fff, 0xfb, 0x7fff, 0x12e, 0x7ffe, 0x160, 0x7ffe, 0x192, 0x7ffd, 0x1c4, 0x7ffc, 0x1f7, 0x7ffb, 0x229, 0x7ffa, 0x25b, 0x7ff9, 0x28d, 0x7ff8, 0x2c0, 0x7ff7, 0x2f2, 0x7ff6, 0x324, 0x7ff5, 0x356, 0x7ff4, 0x389, 0x7ff2, 0x3bb, 0x7ff1, 0x3ed, 0x7fef, 0x41f, 0x7fed, 0x452, 0x7fec, 0x484, 0x7fea, 0x4b6, 0x7fe8, 0x4e8, 0x7fe6, 0x51b, 0x7fe4, 0x54d, 0x7fe2, 0x57f, 0x7fe0, 0x5b1, 0x7fdd, 0x5e3, 0x7fdb, 0x616, 0x7fd9, 0x648, 0x7fd6, 0x67a, 0x7fd3, 0x6ac, 0x7fd1, 0x6de, 0x7fce, 0x711, 0x7fcb, 0x743, 0x7fc8, 0x775, 0x7fc5, 0x7a7, 0x7fc2, 0x7d9, 0x7fbf, 0x80c, 0x7fbc, 0x83e, 0x7fb9, 0x870, 0x7fb5, 0x8a2, 0x7fb2, 0x8d4, 0x7fae, 0x906, 0x7fab, 0x938, 0x7fa7, 0x96b, 0x7fa3, 0x99d, 0x7fa0, 0x9cf, 0x7f9c, 0xa01, 0x7f98, 0xa33, 0x7f94, 0xa65, 0x7f90, 0xa97, 0x7f8b, 0xac9, 0x7f87, 0xafb, 0x7f83, 0xb2d, 0x7f7e, 0xb60, 0x7f7a, 0xb92, 0x7f75, 0xbc4, 0x7f71, 0xbf6, 0x7f6c, 0xc28, 0x7f67, 0xc5a, 0x7f62, 0xc8c, 0x7f5d, 0xcbe, 0x7f58, 0xcf0, 0x7f53, 0xd22, 0x7f4e, 0xd54, 0x7f49, 0xd86, 0x7f43, 0xdb8, 0x7f3e, 0xdea, 0x7f38, 0xe1c, 0x7f33, 0xe4e, 0x7f2d, 0xe80, 0x7f27, 0xeb2, 0x7f22, 0xee4, 0x7f1c, 0xf15, 0x7f16, 0xf47, 0x7f10, 0xf79, 0x7f0a, 0xfab, 0x7f03, 0xfdd, 0x7efd, 0x100f, 0x7ef7, 0x1041, 0x7ef0, 0x1073, 0x7eea, 0x10a4, 0x7ee3, 0x10d6, 0x7edd, 0x1108, 0x7ed6, 0x113a, 0x7ecf, 0x116c, 0x7ec8, 0x119e, 0x7ec1, 0x11cf, 0x7eba, 0x1201, 0x7eb3, 0x1233, 0x7eac, 0x1265, 0x7ea5, 0x1296, 0x7e9d, 0x12c8, 0x7e96, 0x12fa, 0x7e8e, 0x132b, 0x7e87, 0x135d, 0x7e7f, 0x138f, 0x7e78, 0x13c1, 0x7e70, 0x13f2, 0x7e68, 0x1424, 0x7e60, 0x1455, 0x7e58, 0x1487, 0x7e50, 0x14b9, 0x7e48, 0x14ea, 0x7e3f, 0x151c, 0x7e37, 0x154d, 0x7e2f, 0x157f, 0x7e26, 0x15b1, 0x7e1e, 0x15e2, 0x7e15, 0x1614, 0x7e0c, 0x1645, 0x7e03, 0x1677, 0x7dfb, 0x16a8, 0x7df2, 0x16da, 0x7de9, 0x170b, 0x7de0, 0x173c, 0x7dd6, 0x176e, 0x7dcd, 0x179f, 0x7dc4, 0x17d1, 0x7dba, 0x1802, 0x7db1, 0x1833, 0x7da7, 0x1865, 0x7d9e, 0x1896, 0x7d94, 0x18c7, 0x7d8a, 0x18f9, 0x7d81, 0x192a, 0x7d77, 0x195b, 0x7d6d, 0x198d, 0x7d63, 0x19be, 0x7d58, 0x19ef, 0x7d4e, 0x1a20, 0x7d44, 0x1a51, 0x7d3a, 0x1a83, 0x7d2f, 0x1ab4, 0x7d25, 0x1ae5, 0x7d1a, 0x1b16, 0x7d0f, 0x1b47, 0x7d05, 0x1b78, 0x7cfa, 0x1ba9, 0x7cef, 0x1bda, 0x7ce4, 0x1c0c, 0x7cd9, 0x1c3d, 0x7cce, 0x1c6e, 0x7cc2, 0x1c9f, 0x7cb7, 0x1cd0, 0x7cac, 0x1d01, 0x7ca0, 0x1d31, 0x7c95, 0x1d62, 0x7c89, 0x1d93, 0x7c7e, 0x1dc4, 0x7c72, 0x1df5, 0x7c66, 0x1e26, 0x7c5a, 0x1e57, 0x7c4e, 0x1e88, 0x7c42, 0x1eb8, 0x7c36, 0x1ee9, 0x7c2a, 0x1f1a, 0x7c1e, 0x1f4b, 0x7c11, 0x1f7b, 0x7c05, 0x1fac, 0x7bf9, 0x1fdd, 0x7bec, 0x200e, 0x7bdf, 0x203e, 0x7bd3, 0x206f, 0x7bc6, 0x209f, 0x7bb9, 0x20d0, 0x7bac, 0x2101, 0x7b9f, 0x2131, 0x7b92, 0x2162, 0x7b85, 0x2192, 0x7b78, 0x21c3, 0x7b6a, 0x21f3, 0x7b5d, 0x2224, 0x7b50, 0x2254, 0x7b42, 0x2284, 0x7b34, 0x22b5, 0x7b27, 0x22e5, 0x7b19, 0x2316, 0x7b0b, 0x2346, 0x7afd, 0x2376, 0x7aef, 0x23a7, 0x7ae1, 0x23d7, 0x7ad3, 0x2407, 0x7ac5, 0x2437, 0x7ab7, 0x2467, 0x7aa8, 0x2498, 0x7a9a, 0x24c8, 0x7a8c, 0x24f8, 0x7a7d, 0x2528, 0x7a6e, 0x2558, 0x7a60, 0x2588, 0x7a51, 0x25b8, 0x7a42, 0x25e8, 0x7a33, 0x2618, 0x7a24, 0x2648, 0x7a15, 0x2678, 0x7a06, 0x26a8, 0x79f7, 0x26d8, 0x79e7, 0x2708, 0x79d8, 0x2738, 0x79c9, 0x2768, 0x79b9, 0x2797, 0x79aa, 0x27c7, 0x799a, 0x27f7, 0x798a, 0x2827, 0x797a, 0x2856, 0x796a, 0x2886, 0x795b, 0x28b6, 0x794a, 0x28e5, 0x793a, 0x2915, 0x792a, 0x2945, 0x791a, 0x2974, 0x790a, 0x29a4, 0x78f9, 0x29d3, 0x78e9, 0x2a03, 0x78d8, 0x2a32, 0x78c8, 0x2a62, 0x78b7, 0x2a91, 0x78a6, 0x2ac1, 0x7895, 0x2af0, 0x7885, 0x2b1f, 0x7874, 0x2b4f, 0x7863, 0x2b7e, 0x7851, 0x2bad, 0x7840, 0x2bdc, 0x782f, 0x2c0c, 0x781e, 0x2c3b, 0x780c, 0x2c6a, 0x77fb, 0x2c99, 0x77e9, 0x2cc8, 0x77d8, 0x2cf7, 0x77c6, 0x2d26, 0x77b4, 0x2d55, 0x77a2, 0x2d84, 0x7790, 0x2db3, 0x777e, 0x2de2, 0x776c, 0x2e11, 0x775a, 0x2e40, 0x7748, 0x2e6f, 0x7736, 0x2e9e, 0x7723, 0x2ecc, 0x7711, 0x2efb, 0x76fe, 0x2f2a, 0x76ec, 0x2f59, 0x76d9, 0x2f87, 0x76c7, 0x2fb6, 0x76b4, 0x2fe5, 0x76a1, 0x3013, 0x768e, 0x3042, 0x767b, 0x3070, 0x7668, 0x309f, 0x7655, 0x30cd, 0x7642, 0x30fc, 0x762e, 0x312a, 0x761b, 0x3159, 0x7608, 0x3187, 0x75f4, 0x31b5, 0x75e1, 0x31e4, 0x75cd, 0x3212, 0x75b9, 0x3240, 0x75a6, 0x326e, 0x7592, 0x329d, 0x757e, 0x32cb, 0x756a, 0x32f9, 0x7556, 0x3327, 0x7542, 0x3355, 0x752d, 0x3383, 0x7519, 0x33b1, 0x7505, 0x33df, 0x74f0, 0x340d, 0x74dc, 0x343b, 0x74c7, 0x3469, 0x74b3, 0x3497, 0x749e, 0x34c4, 0x7489, 0x34f2, 0x7475, 0x3520, 0x7460, 0x354e, 0x744b, 0x357b, 0x7436, 0x35a9, 0x7421, 0x35d7, 0x740b, 0x3604, 0x73f6, 0x3632, 0x73e1, 0x365f, 0x73cb, 0x368d, 0x73b6, 0x36ba, 0x73a0, 0x36e8, 0x738b, 0x3715, 0x7375, 0x3742, 0x735f, 0x3770, 0x734a, 0x379d, 0x7334, 0x37ca, 0x731e, 0x37f7, 0x7308, 0x3825, 0x72f2, 0x3852, 0x72dc, 0x387f, 0x72c5, 0x38ac, 0x72af, 0x38d9, 0x7299, 0x3906, 0x7282, 0x3933, 0x726c, 0x3960, 0x7255, 0x398d, 0x723f, 0x39ba, 0x7228, 0x39e7, 0x7211, 0x3a13, 0x71fa, 0x3a40, 0x71e3, 0x3a6d, 0x71cc, 0x3a9a, 0x71b5, 0x3ac6, 0x719e, 0x3af3, 0x7187, 0x3b20, 0x7170, 0x3b4c, 0x7158, 0x3b79, 0x7141, 0x3ba5, 0x712a, 0x3bd2, 0x7112, 0x3bfe, 0x70fa, 0x3c2a, 0x70e3, 0x3c57, 0x70cb, 0x3c83, 0x70b3, 0x3caf, 0x709b, 0x3cdc, 0x7083, 0x3d08, 0x706b, 0x3d34, 0x7053, 0x3d60, 0x703b, 0x3d8c, 0x7023, 0x3db8, 0x700b, 0x3de4, 0x6ff2, 0x3e10, 0x6fda, 0x3e3c, 0x6fc2, 0x3e68, 0x6fa9, 0x3e94, 0x6f90, 0x3ec0, 0x6f78, 0x3eec, 0x6f5f, 0x3f17, 0x6f46, 0x3f43, 0x6f2d, 0x3f6f, 0x6f14, 0x3f9a, 0x6efb, 0x3fc6, 0x6ee2, 0x3ff1, 0x6ec9, 0x401d, 0x6eb0, 0x4048, 0x6e97, 0x4074, 0x6e7d, 0x409f, 0x6e64, 0x40cb, 0x6e4a, 0x40f6, 0x6e31, 0x4121, 0x6e17, 0x414d, 0x6dfe, 0x4178, 0x6de4, 0x41a3, 0x6dca, 0x41ce, 0x6db0, 0x41f9, 0x6d96, 0x4224, 0x6d7c, 0x424f, 0x6d62, 0x427a, 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0x8647, 0xd898, 0x8637, 0xd8c8, 0x8628, 0xd8f8, 0x8619, 0xd928, 0x8609, 0xd958, 0x85fa, 0xd988, 0x85eb, 0xd9b8, 0x85dc, 0xd9e8, 0x85cd, 0xda18, 0x85be, 0xda48, 0x85af, 0xda78, 0x85a0, 0xdaa8, 0x8592, 0xdad8, 0x8583, 0xdb08, 0x8574, 0xdb38, 0x8566, 0xdb68, 0x8558, 0xdb99, 0x8549, 0xdbc9, 0x853b, 0xdbf9, 0x852d, 0xdc29, 0x851f, 0xdc59, 0x8511, 0xdc8a, 0x8503, 0xdcba, 0x84f5, 0xdcea, 0x84e7, 0xdd1b, 0x84d9, 0xdd4b, 0x84cc, 0xdd7c, 0x84be, 0xddac, 0x84b0, 0xdddc, 0x84a3, 0xde0d, 0x8496, 0xde3d, 0x8488, 0xde6e, 0x847b, 0xde9e, 0x846e, 0xdecf, 0x8461, 0xdeff, 0x8454, 0xdf30, 0x8447, 0xdf61, 0x843a, 0xdf91, 0x842d, 0xdfc2, 0x8421, 0xdff2, 0x8414, 0xe023, 0x8407, 0xe054, 0x83fb, 0xe085, 0x83ef, 0xe0b5, 0x83e2, 0xe0e6, 0x83d6, 0xe117, 0x83ca, 0xe148, 0x83be, 0xe178, 0x83b2, 0xe1a9, 0x83a6, 0xe1da, 0x839a, 0xe20b, 0x838e, 0xe23c, 0x8382, 0xe26d, 0x8377, 0xe29e, 0x836b, 0xe2cf, 0x8360, 0xe2ff, 0x8354, 0xe330, 0x8349, 0xe361, 0x833e, 0xe392, 0x8332, 0xe3c3, 0x8327, 0xe3f4, 0x831c, 0xe426, 0x8311, 0xe457, 0x8306, 0xe488, 0x82fb, 0xe4b9, 0x82f1, 0xe4ea, 0x82e6, 0xe51b, 0x82db, 0xe54c, 0x82d1, 0xe57d, 0x82c6, 0xe5af, 0x82bc, 0xe5e0, 0x82b2, 0xe611, 0x82a8, 0xe642, 0x829d, 0xe673, 0x8293, 0xe6a5, 0x8289, 0xe6d6, 0x827f, 0xe707, 0x8276, 0xe739, 0x826c, 0xe76a, 0x8262, 0xe79b, 0x8259, 0xe7cd, 0x824f, 0xe7fe, 0x8246, 0xe82f, 0x823c, 0xe861, 0x8233, 0xe892, 0x822a, 0xe8c4, 0x8220, 0xe8f5, 0x8217, 0xe926, 0x820e, 0xe958, 0x8205, 0xe989, 0x81fd, 0xe9bb, 0x81f4, 0xe9ec, 0x81eb, 0xea1e, 0x81e2, 0xea4f, 0x81da, 0xea81, 0x81d1, 0xeab3, 0x81c9, 0xeae4, 0x81c1, 0xeb16, 0x81b8, 0xeb47, 0x81b0, 0xeb79, 0x81a8, 0xebab, 0x81a0, 0xebdc, 0x8198, 0xec0e, 0x8190, 0xec3f, 0x8188, 0xec71, 0x8181, 0xeca3, 0x8179, 0xecd5, 0x8172, 0xed06, 0x816a, 0xed38, 0x8163, 0xed6a, 0x815b, 0xed9b, 0x8154, 0xedcd, 0x814d, 0xedff, 0x8146, 0xee31, 0x813f, 0xee62, 0x8138, 0xee94, 0x8131, 0xeec6, 0x812a, 0xeef8, 0x8123, 0xef2a, 0x811d, 0xef5c, 0x8116, 0xef8d, 0x8110, 0xefbf, 0x8109, 0xeff1, 0x8103, 0xf023, 0x80fd, 0xf055, 0x80f6, 0xf087, 0x80f0, 0xf0b9, 0x80ea, 0xf0eb, 0x80e4, 0xf11c, 0x80de, 0xf14e, 0x80d9, 0xf180, 0x80d3, 0xf1b2, 0x80cd, 0xf1e4, 0x80c8, 0xf216, 0x80c2, 0xf248, 0x80bd, 0xf27a, 0x80b7, 0xf2ac, 0x80b2, 0xf2de, 0x80ad, 0xf310, 0x80a8, 0xf342, 0x80a3, 0xf374, 0x809e, 0xf3a6, 0x8099, 0xf3d8, 0x8094, 0xf40a, 0x808f, 0xf43c, 0x808b, 0xf46e, 0x8086, 0xf4a0, 0x8082, 0xf4d3, 0x807d, 0xf505, 0x8079, 0xf537, 0x8075, 0xf569, 0x8070, 0xf59b, 0x806c, 0xf5cd, 0x8068, 0xf5ff, 0x8064, 0xf631, 0x8060, 0xf663, 0x805d, 0xf695, 0x8059, 0xf6c8, 0x8055, 0xf6fa, 0x8052, 0xf72c, 0x804e, 0xf75e, 0x804b, 0xf790, 0x8047, 0xf7c2, 0x8044, 0xf7f4, 0x8041, 0xf827, 0x803e, 0xf859, 0x803b, 0xf88b, 0x8038, 0xf8bd, 0x8035, 0xf8ef, 0x8032, 0xf922, 0x802f, 0xf954, 0x802d, 0xf986, 0x802a, 0xf9b8, 0x8027, 0xf9ea, 0x8025, 0xfa1d, 0x8023, 0xfa4f, 0x8020, 0xfa81, 0x801e, 0xfab3, 0x801c, 0xfae5, 0x801a, 0xfb18, 0x8018, 0xfb4a, 0x8016, 0xfb7c, 0x8014, 0xfbae, 0x8013, 0xfbe1, 0x8011, 0xfc13, 0x800f, 0xfc45, 0x800e, 0xfc77, 0x800c, 0xfcaa, 0x800b, 0xfcdc, 0x800a, 0xfd0e, 0x8009, 0xfd40, 0x8008, 0xfd73, 0x8007, 0xfda5, 0x8006, 0xfdd7, 0x8005, 0xfe09, 0x8004, 0xfe3c, 0x8003, 0xfe6e, 0x8002, 0xfea0, 0x8002, 0xfed2, 0x8001, 0xff05, 0x8001, 0xff37, 0x8001, 0xff69, 0x8000, 0xff9b, 0x8000, 0xffce, 0x8000, }; /** * @} end of CFFT_CIFFT group */ /* * @brief Q15 table for reciprocal */ const q15_t ALIGN4 armRecipTableQ15[64] = { 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0, 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82, 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484, 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0, 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E, 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255, 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6, 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978, 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8, 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255, 0x41CC, 0x4146, 0x40C2, 0x4040 }; /* * @brief Q31 table for reciprocal */ const q31_t armRecipTableQ31[64] = { 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928, 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3, 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519, 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB, 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318, 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0, 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D, 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96, 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2, 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426, 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102 };