Wavelet Biorthogonal 2.2 (bior2.2)

Properties

Family: Biorthogonal (bior)

Properties: symmetric, not orthogonal, biorthogonal.

Wavelet and scaling functions

  • Biorthogonal 2.2 Decomposition scaling function

    Decomposition scaling function φ

  • Biorthogonal 2.2 Decomposition wavelet function

    Decomposition wavelet function ψ

  • Biorthogonal 2.2 Reconstruction scaling function

    Reconstruction scaling function φ

  • Biorthogonal 2.2 Reconstruction wavelet function

    Reconstruction wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy)
Biorthogonal 2.2 Decomposition low-pass filter
  1. h0 = 0
  2. h1 = -0.1767766953
  3. h2 =  0.3535533906
  4. h3 =  1.0606601718
  5. h4 =  0.3535533906
  6. h5 = -0.1767766953
Reconstruction low-pass filter (copy)
Biorthogonal 2.2 Reconstruction low-pass filter
  1. h'0 = 0
  2. h'1 =  0.3535533906
  3. h'2 =  0.7071067812
  4. h'3 =  0.3535533906
  5. h'4 = 0
  6. h'5 = 0
Decomposition high-pass filter (copy)
Biorthogonal 2.2 Decomposition high-pass filter
  1. g0 = 0
  2. g1 =  0.3535533906
  3. g2 = -0.7071067812
  4. g3 =  0.3535533906
  5. g4 = 0
  6. g5 = 0
Reconstruction high-pass filter (copy)
Biorthogonal 2.2 Reconstruction high-pass filter
  1. g'0 = 0
  2. g'1 =  0.1767766953
  3. g'2 =  0.3535533906
  4. g'3 = -1.0606601718
  5. g'4 =  0.3535533906
  6. g'5 =  0.1767766953