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Wavelet Biorthogonal 1.5 (bior1.5)

Properties

Family: Biorthogonal (bior)

Properties: symmetric, not orthogonal, biorthogonal.

Wavelet and scaling functions

  • Biorthogonal 1.5 Decomposition scaling function

    Decomposition scaling function φ

  • Biorthogonal 1.5 Decomposition wavelet function

    Decomposition wavelet function ψ

  • Biorthogonal 1.5 Reconstruction scaling function

    Reconstruction scaling function φ

  • Biorthogonal 1.5 Reconstruction wavelet function

    Reconstruction wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Biorthogonal 1.5 Decomposition low-pass filter
  1. h0 =  0.0165728152
  2. h1 = -0.0165728152
  3. h2 = -0.1215339780
  4. h3 =  0.1215339780
  5. h4 =  0.7071067812
  6. h5 =  0.7071067812
  7. h6 =  0.1215339780
  8. h7 = -0.1215339780
  9. h8 = -0.0165728152
  10. h9 =  0.0165728152
Reconstruction low-pass filter (copy↓)
Biorthogonal 1.5 Reconstruction low-pass filter
  1. h'0 = 0
  2. h'1 = 0
  3. h'2 = 0
  4. h'3 = 0
  5. h'4 =  0.7071067812
  6. h'5 =  0.7071067812
  7. h'6 = 0
  8. h'7 = 0
  9. h'8 = 0
  10. h'9 = 0
Decomposition high-pass filter (copy↓)
Biorthogonal 1.5 Decomposition high-pass filter
  1. g0 = 0
  2. g1 = 0
  3. g2 = 0
  4. g3 = 0
  5. g4 = -0.7071067812
  6. g5 =  0.7071067812
  7. g6 = 0
  8. g7 = 0
  9. g8 = 0
  10. g9 = 0
Reconstruction high-pass filter (copy↓)
Biorthogonal 1.5 Reconstruction high-pass filter
  1. g'0 =  0.0165728152
  2. g'1 =  0.0165728152
  3. g'2 = -0.1215339780
  4. g'3 = -0.1215339780
  5. g'4 =  0.7071067812
  6. g'5 = -0.7071067812
  7. g'6 =  0.1215339780
  8. g'7 =  0.1215339780
  9. g'8 = -0.0165728152
  10. g'9 = -0.0165728152