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Wavelet Symlets 9 (sym9)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 9 Scaling function

    Scaling function φ

  • Symlets 9 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Symlets 9 Decomposition low-pass filter
  1. h0 =  0.0014009155
  2. h1 =  0.0006197809
  3. h2 = -0.0132719678
  4. h3 = -0.0115282102
  5. h4 =  0.0302248789
  6. h5 =  0.0005834627
  7. h6 = -0.0545689584
  8. h7 =  0.2387609146
  9. h8 =  0.7178970828
  10. h9 =  0.6173384491
  11. h10 =  0.0352724880
  12. h11 = -0.1915508313
  13. h12 = -0.0182337708
  14. h13 =  0.0620777893
  15. h14 =  0.0088592675
  16. h15 = -0.0102640640
  17. h16 = -0.0004731545
  18. h17 =  0.0010694900
Reconstruction low-pass filter (copy↓)
Symlets 9 Reconstruction low-pass filter
  1. h'0 =  0.0010694900
  2. h'1 = -0.0004731545
  3. h'2 = -0.0102640640
  4. h'3 =  0.0088592675
  5. h'4 =  0.0620777893
  6. h'5 = -0.0182337708
  7. h'6 = -0.1915508313
  8. h'7 =  0.0352724880
  9. h'8 =  0.6173384491
  10. h'9 =  0.7178970828
  11. h'10 =  0.2387609146
  12. h'11 = -0.0545689584
  13. h'12 =  0.0005834627
  14. h'13 =  0.0302248789
  15. h'14 = -0.0115282102
  16. h'15 = -0.0132719678
  17. h'16 =  0.0006197809
  18. h'17 =  0.0014009155
Decomposition high-pass filter (copy↓)
Symlets 9 Decomposition high-pass filter
  1. g0 = -0.0010694900
  2. g1 = -0.0004731545
  3. g2 =  0.0102640640
  4. g3 =  0.0088592675
  5. g4 = -0.0620777893
  6. g5 = -0.0182337708
  7. g6 =  0.1915508313
  8. g7 =  0.0352724880
  9. g8 = -0.6173384491
  10. g9 =  0.7178970828
  11. g10 = -0.2387609146
  12. g11 = -0.0545689584
  13. g12 = -0.0005834627
  14. g13 =  0.0302248789
  15. g14 =  0.0115282102
  16. g15 = -0.0132719678
  17. g16 = -0.0006197809
  18. g17 =  0.0014009155
Reconstruction high-pass filter (copy↓)
Symlets 9 Reconstruction high-pass filter
  1. g'0 =  0.0014009155
  2. g'1 = -0.0006197809
  3. g'2 = -0.0132719678
  4. g'3 =  0.0115282102
  5. g'4 =  0.0302248789
  6. g'5 = -0.0005834627
  7. g'6 = -0.0545689584
  8. g'7 = -0.2387609146
  9. g'8 =  0.7178970828
  10. g'9 = -0.6173384491
  11. g'10 =  0.0352724880
  12. g'11 =  0.1915508313
  13. g'12 = -0.0182337708
  14. g'13 = -0.0620777893
  15. g'14 =  0.0088592675
  16. g'15 =  0.0102640640
  17. g'16 = -0.0004731545
  18. g'17 = -0.0010694900