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Wavelet Biorthogonal 5.5 (bior5.5)

Properties

Family: Biorthogonal (bior)

Properties: symmetric, not orthogonal, biorthogonal.

Wavelet and scaling functions

  • Biorthogonal 5.5 Decomposition scaling function

    Decomposition scaling function φ

  • Biorthogonal 5.5 Decomposition wavelet function

    Decomposition wavelet function ψ

  • Biorthogonal 5.5 Reconstruction scaling function

    Reconstruction scaling function φ

  • Biorthogonal 5.5 Reconstruction wavelet function

    Reconstruction wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Biorthogonal 5.5 Decomposition low-pass filter
  1. h0 = 0
  2. h1 = 0
  3. h2 =  0.0396870883
  4. h3 =  0.0079481086
  5. h4 = -0.0544637885
  6. h5 =  0.3456052820
  7. h6 =  0.7366601814
  8. h7 =  0.3456052820
  9. h8 = -0.0544637885
  10. h9 =  0.0079481086
  11. h10 =  0.0396870883
  12. h11 = 0
Reconstruction low-pass filter (copy↓)
Biorthogonal 5.5 Reconstruction low-pass filter
  1. h'0 =  0.0134567095
  2. h'1 = -0.0026949669
  3. h'2 = -0.1367065847
  4. h'3 = -0.0935046974
  5. h'4 =  0.4768032658
  6. h'5 =  0.8995061097
  7. h'6 =  0.4768032658
  8. h'7 = -0.0935046974
  9. h'8 = -0.1367065847
  10. h'9 = -0.0026949669
  11. h'10 =  0.0134567095
  12. h'11 = 0
Decomposition high-pass filter (copy↓)
Biorthogonal 5.5 Decomposition high-pass filter
  1. g0 = -0.0134567095
  2. g1 = -0.0026949669
  3. g2 =  0.1367065847
  4. g3 = -0.0935046974
  5. g4 = -0.4768032658
  6. g5 =  0.8995061097
  7. g6 = -0.4768032658
  8. g7 = -0.0935046974
  9. g8 =  0.1367065847
  10. g9 = -0.0026949669
  11. g10 = -0.0134567095
  12. g11 = 0
Reconstruction high-pass filter (copy↓)
Biorthogonal 5.5 Reconstruction high-pass filter
  1. g'0 = 0
  2. g'1 = 0
  3. g'2 =  0.0396870883
  4. g'3 = -0.0079481086
  5. g'4 = -0.0544637885
  6. g'5 = -0.3456052820
  7. g'6 =  0.7366601814
  8. g'7 = -0.3456052820
  9. g'8 = -0.0544637885
  10. g'9 = -0.0079481086
  11. g'10 =  0.0396870883
  12. g'11 = 0