// center frequency: 2048Hz
// sample frequency: 8192Hz
const uint8  window_size = 200;
const int32 realW = 0;
const int32 imagW = 65536;
const uint8  log2_one_rep = 16;
const uint16 scaling[] = {
  5243,
  5258,
  5302,
  5377,
  5481,
  5614,
  5777,
  5969,
  6190,
  6440,
  6718,
  7025,
  7360,
  7722,
  8112,
  8529,
  8972,
  9441,
  9936,
  10456,
  11000,
  11569,
  12161,
  12776,
  13414,
  14073,
  14753,
  15453,
  16173,
  16912,
  17670,
  18445,
  19236,
  20044,
  20866,
  21703,
  22554,
  23417,
  24292,
  25178,
  26074,
  26979,
  27892,
  28813,
  29741,
  30673,
  31611,
  32552,
  33497,
  34443,
  35389,
  36336,
  37282,
  38226,
  39168,
  40105,
  41038,
  41966,
  42887,
  43800,
  44705,
  45601,
  46487,
  47362,
  48225,
  49076,
  49913,
  50735,
  51543,
  52334,
  53109,
  53866,
  54606,
  55326,
  56026,
  56706,
  57365,
  58003,
  58618,
  59210,
  59779,
  60323,
  60843,
  61338,
  61807,
  62250,
  62667,
  63057,
  63419,
  63754,
  64061,
  64339,
  64589,
  64810,
  65002,
  65165,
  65298,
  65402,
  65477,
  65521,
  65535,
  65521,
  65477,
  65402,
  65298,
  65165,
  65002,
  64810,
  64589,
  64339,
  64061,
  63754,
  63419,
  63057,
  62667,
  62250,
  61807,
  61338,
  60843,
  60323,
  59779,
  59210,
  58618,
  58003,
  57365,
  56706,
  56026,
  55326,
  54606,
  53866,
  53109,
  52334,
  51543,
  50735,
  49913,
  49076,
  48225,
  47362,
  46487,
  45601,
  44705,
  43800,
  42887,
  41966,
  41038,
  40105,
  39168,
  38226,
  37282,
  36336,
  35389,
  34443,
  33497,
  32552,
  31611,
  30673,
  29741,
  28813,
  27892,
  26979,
  26074,
  25178,
  24292,
  23417,
  22554,
  21703,
  20866,
  20044,
  19236,
  18445,
  17670,
  16912,
  16173,
  15453,
  14753,
  14073,
  13414,
  12776,
  12161,
  11569,
  11000,
  10456,
  9936,
  9441,
  8972,
  8529,
  8112,
  7722,
  7360,
  7025,
  6718,
  6440,
  6190,
  5969,
  5777,
  5614,
  5481,
  5377,
  5302,
  5258,
};