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Wavelet Haar (haar)

Properties

Family: Haar (haar)

Properties: asymmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Haar Scaling function

    Scaling function φ

  • Haar Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Haar Decomposition low-pass filter
  1. h0 =  0.7071067812
  2. h1 =  0.7071067812
Reconstruction low-pass filter (copy↓)
Haar Reconstruction low-pass filter
  1. h'0 =  0.7071067812
  2. h'1 =  0.7071067812
Decomposition high-pass filter (copy↓)
Haar Decomposition high-pass filter
  1. g0 = -0.7071067812
  2. g1 =  0.7071067812
Reconstruction high-pass filter (copy↓)
Haar Reconstruction high-pass filter
  1. g'0 =  0.7071067812
  2. g'1 = -0.7071067812