Wavelet Symlets 3 (sym3)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 3 Scaling function

    Scaling function φ

  • Symlets 3 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy)
Symlets 3 Decomposition low-pass filter
  1. h0 =  0.0352262919
  2. h1 = -0.0854412739
  3. h2 = -0.1350110200
  4. h3 =  0.4598775021
  5. h4 =  0.8068915093
  6. h5 =  0.3326705530
Reconstruction low-pass filter (copy)
Symlets 3 Reconstruction low-pass filter
  1. h'0 =  0.3326705530
  2. h'1 =  0.8068915093
  3. h'2 =  0.4598775021
  4. h'3 = -0.1350110200
  5. h'4 = -0.0854412739
  6. h'5 =  0.0352262919
Decomposition high-pass filter (copy)
Symlets 3 Decomposition high-pass filter
  1. g0 = -0.3326705530
  2. g1 =  0.8068915093
  3. g2 = -0.4598775021
  4. g3 = -0.1350110200
  5. g4 =  0.0854412739
  6. g5 =  0.0352262919
Reconstruction high-pass filter (copy)
Symlets 3 Reconstruction high-pass filter
  1. g'0 =  0.0352262919
  2. g'1 =  0.0854412739
  3. g'2 = -0.1350110200
  4. g'3 = -0.4598775021
  5. g'4 =  0.8068915093
  6. g'5 = -0.3326705530