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Wavelet Symlets 4 (sym4)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 4 Scaling function

    Scaling function φ

  • Symlets 4 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Symlets 4 Decomposition low-pass filter
  1. h0 = -0.0757657148
  2. h1 = -0.0296355276
  3. h2 =  0.4976186676
  4. h3 =  0.8037387518
  5. h4 =  0.2978577956
  6. h5 = -0.0992195436
  7. h6 = -0.0126039673
  8. h7 =  0.0322231006
Reconstruction low-pass filter (copy↓)
Symlets 4 Reconstruction low-pass filter
  1. h'0 =  0.0322231006
  2. h'1 = -0.0126039673
  3. h'2 = -0.0992195436
  4. h'3 =  0.2978577956
  5. h'4 =  0.8037387518
  6. h'5 =  0.4976186676
  7. h'6 = -0.0296355276
  8. h'7 = -0.0757657148
Decomposition high-pass filter (copy↓)
Symlets 4 Decomposition high-pass filter
  1. g0 = -0.0322231006
  2. g1 = -0.0126039673
  3. g2 =  0.0992195436
  4. g3 =  0.2978577956
  5. g4 = -0.8037387518
  6. g5 =  0.4976186676
  7. g6 =  0.0296355276
  8. g7 = -0.0757657148
Reconstruction high-pass filter (copy↓)
Symlets 4 Reconstruction high-pass filter
  1. g'0 = -0.0757657148
  2. g'1 =  0.0296355276
  3. g'2 =  0.4976186676
  4. g'3 = -0.8037387518
  5. g'4 =  0.2978577956
  6. g'5 =  0.0992195436
  7. g'6 = -0.0126039673
  8. g'7 = -0.0322231006