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Wavelet Symlets 5 (sym5)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 5 Scaling function

    Scaling function φ

  • Symlets 5 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Symlets 5 Decomposition low-pass filter
  1. h0 =  0.0273330683
  2. h1 =  0.0295194909
  3. h2 = -0.0391342493
  4. h3 =  0.1993975340
  5. h4 =  0.7234076904
  6. h5 =  0.6339789635
  7. h6 =  0.0166021058
  8. h7 = -0.1753280899
  9. h8 = -0.0211018340
  10. h9 =  0.0195388827
Reconstruction low-pass filter (copy↓)
Symlets 5 Reconstruction low-pass filter
  1. h'0 =  0.0195388827
  2. h'1 = -0.0211018340
  3. h'2 = -0.1753280899
  4. h'3 =  0.0166021058
  5. h'4 =  0.6339789635
  6. h'5 =  0.7234076904
  7. h'6 =  0.1993975340
  8. h'7 = -0.0391342493
  9. h'8 =  0.0295194909
  10. h'9 =  0.0273330683
Decomposition high-pass filter (copy↓)
Symlets 5 Decomposition high-pass filter
  1. g0 = -0.0195388827
  2. g1 = -0.0211018340
  3. g2 =  0.1753280899
  4. g3 =  0.0166021058
  5. g4 = -0.6339789635
  6. g5 =  0.7234076904
  7. g6 = -0.1993975340
  8. g7 = -0.0391342493
  9. g8 = -0.0295194909
  10. g9 =  0.0273330683
Reconstruction high-pass filter (copy↓)
Symlets 5 Reconstruction high-pass filter
  1. g'0 =  0.0273330683
  2. g'1 = -0.0295194909
  3. g'2 = -0.0391342493
  4. g'3 = -0.1993975340
  5. g'4 =  0.7234076904
  6. g'5 = -0.6339789635
  7. g'6 =  0.0166021058
  8. g'7 =  0.1753280899
  9. g'8 = -0.0211018340
  10. g'9 = -0.0195388827