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Wavelet Symlets 7 (sym7)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 7 Scaling function

    Scaling function φ

  • Symlets 7 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Symlets 7 Decomposition low-pass filter
  1. h0 =  0.0026818146
  2. h1 = -0.0010473849
  3. h2 = -0.0126363034
  4. h3 =  0.0305155132
  5. h4 =  0.0678926935
  6. h5 = -0.0495528349
  7. h6 =  0.0174412551
  8. h7 =  0.5361019171
  9. h8 =  0.7677643170
  10. h9 =  0.2886296318
  11. h10 = -0.1400472404
  12. h11 = -0.1078082377
  13. h12 =  0.0040102449
  14. h13 =  0.0102681767
Reconstruction low-pass filter (copy↓)
Symlets 7 Reconstruction low-pass filter
  1. h'0 =  0.0102681767
  2. h'1 =  0.0040102449
  3. h'2 = -0.1078082377
  4. h'3 = -0.1400472404
  5. h'4 =  0.2886296318
  6. h'5 =  0.7677643170
  7. h'6 =  0.5361019171
  8. h'7 =  0.0174412551
  9. h'8 = -0.0495528349
  10. h'9 =  0.0678926935
  11. h'10 =  0.0305155132
  12. h'11 = -0.0126363034
  13. h'12 = -0.0010473849
  14. h'13 =  0.0026818146
Decomposition high-pass filter (copy↓)
Symlets 7 Decomposition high-pass filter
  1. g0 = -0.0102681767
  2. g1 =  0.0040102449
  3. g2 =  0.1078082377
  4. g3 = -0.1400472404
  5. g4 = -0.2886296318
  6. g5 =  0.7677643170
  7. g6 = -0.5361019171
  8. g7 =  0.0174412551
  9. g8 =  0.0495528349
  10. g9 =  0.0678926935
  11. g10 = -0.0305155132
  12. g11 = -0.0126363034
  13. g12 =  0.0010473849
  14. g13 =  0.0026818146
Reconstruction high-pass filter (copy↓)
Symlets 7 Reconstruction high-pass filter
  1. g'0 =  0.0026818146
  2. g'1 =  0.0010473849
  3. g'2 = -0.0126363034
  4. g'3 = -0.0305155132
  5. g'4 =  0.0678926935
  6. g'5 =  0.0495528349
  7. g'6 =  0.0174412551
  8. g'7 = -0.5361019171
  9. g'8 =  0.7677643170
  10. g'9 = -0.2886296318
  11. g'10 = -0.1400472404
  12. g'11 =  0.1078082377
  13. g'12 =  0.0040102449
  14. g'13 = -0.0102681767