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  1. %% definition of wavelet functions
  2. D2 = [1,        1];
  3. D4 = [0.6830127,        1.1830127,      0.3169873,      -0.1830127];
  4. D6 = [0.47046721,       1.14111692,     0.650365,       -0.19093442,    -0.12083221,    0.0498175];
  5. D8 = [0.32580343,       1.01094572,     0.8922014,      -0.03957503,    -0.26450717,    0.0436163,      0.0465036,      -0.01498699];
  6. D10 = [0.22641898,      0.85394354,     1.02432694,     0.19576696,     -0.34265671,    -0.04560113,    0.10970265,     -0.0088268,     -0.01779187,    0.004717428];
  7. D12 = [0.15774243,      0.69950381,     1.06226376,     0.44583132,     -0.3199866,     -0.18351806,    0.13788809,     0.03892321,     -0.04466375,    0.000783251,    0.006756062,    -0.001523534];
  8. D14 = [0.11009943,      0.56079128,     1.03114849,     0.66437248,     -0.20351382,    -0.31683501,    0.1008467,      0.11400345,     -0.05378245,    -0.02343994,    0.01774979,     0.000607515,    -0.002547905,   0.000500227];
  9. D16 = [0.07695562,      0.44246725,     0.95548615,     0.82781653,     -0.02238574,    -0.40165863,    0.000668194,    0.18207636,     -0.0245639,     -0.06235021,    0.01977216,     0.01236884,     -0.006887719,   -0.000554005,   0.00095523,     -0.000166137];
  10. D18 = [0.05385035,      0.3448343,      0.85534906,     0.92954571,     0.18836955,     -0.41475176,    -0.13695355,    0.21006834,     0.043452675,    -0.09564726,    0.000354893,    0.03162417,     -0.00667962,    -0.006054961,   0.002612967,    0.000325815,    -0.00035633,    5.56455E-05];
  11. D20 = [0.03771716,      0.26612218,     0.74557507,     0.97362811,     0.39763774,     -0.3533362,     -0.27710988,    0.18012745,     0.13160299,     -0.10096657,    -0.04165925,    0.04696981,     0.005100437,    -0.015179,      0.001973325,    0.002817687,    -0.000969948,   -0.000164709,   0.000132354,    -1.87584E-05];
  12.  
  13.  
  14. %% setup h0 and h1
  15. name = 'D4';
  16. h0 = D4;
  17. h1 = fliplr(h0);
  18. idx = 2:2:numel(h0);
  19. h1(idx) = -h1(idx);
  20.  
  21. %% iterate
  22. scale = [1];
  23. figure;
  24. for i = 0:100
  25.     h0scaled = zeros(1, numel(h0)*(2^i));
  26.     h1scaled = zeros(1, numel(h1)*(2^i));
  27.     for j = 1:numel(h0)
  28.        h0scaled(j*(2^i)) = h0(j);
  29.        h1scaled(j*(2^i)) = h1(j);
  30.     end
  31.     wavelet = conv(scale,h1scaled);
  32.     scale   = conv(scale,h0scaled);
  33.     stairs(scale);
  34.     hold all;
  35.     title(['Scale function ' name ' iteration ' int2str(i)]);
  36.     stairs(wavelet);
  37.     hold off;
  38.     title(['Wavelet function ' name ' iteration ' int2str(i)]);
  39.     pause;
  40. end
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