Wavelet Biorthogonal 3.9 (bior3.9)

Properties

Family: Biorthogonal (bior)

Properties: symmetric, not orthogonal, biorthogonal.

Wavelet and scaling functions

  • Biorthogonal 3.9 Decomposition scaling function

    Decomposition scaling function φ

  • Biorthogonal 3.9 Decomposition wavelet function

    Decomposition wavelet function ψ

  • Biorthogonal 3.9 Reconstruction scaling function

    Reconstruction scaling function φ

  • Biorthogonal 3.9 Reconstruction wavelet function

    Reconstruction wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy)
Biorthogonal 3.9 Decomposition low-pass filter
  1. h0 = -0.0006797444
  2. h1 =  0.0020392331
  3. h2 =  0.0050603192
  4. h3 = -0.0206189126
  5. h4 = -0.0141127879
  6. h5 =  0.0991347825
  7. h6 =  0.0123001363
  8. h7 = -0.3201919684
  9. h8 =  0.0020500227
  10. h9 =  0.9421257007
  11. h10 =  0.9421257007
  12. h11 =  0.0020500227
  13. h12 = -0.3201919684
  14. h13 =  0.0123001363
  15. h14 =  0.0991347825
  16. h15 = -0.0141127879
  17. h16 = -0.0206189126
  18. h17 =  0.0050603192
  19. h18 =  0.0020392331
  20. h19 = -0.0006797444
Reconstruction low-pass filter (copy)
Biorthogonal 3.9 Reconstruction low-pass filter
  1. h'0 = 0
  2. h'1 = 0
  3. h'2 = 0
  4. h'3 = 0
  5. h'4 = 0
  6. h'5 = 0
  7. h'6 = 0
  8. h'7 = 0
  9. h'8 =  0.1767766953
  10. h'9 =  0.5303300859
  11. h'10 =  0.5303300859
  12. h'11 =  0.1767766953
  13. h'12 = 0
  14. h'13 = 0
  15. h'14 = 0
  16. h'15 = 0
  17. h'16 = 0
  18. h'17 = 0
  19. h'18 = 0
  20. h'19 = 0
Decomposition high-pass filter (copy)
Biorthogonal 3.9 Decomposition high-pass filter
  1. g0 = 0
  2. g1 = 0
  3. g2 = 0
  4. g3 = 0
  5. g4 = 0
  6. g5 = 0
  7. g6 = 0
  8. g7 = 0
  9. g8 = -0.1767766953
  10. g9 =  0.5303300859
  11. g10 = -0.5303300859
  12. g11 =  0.1767766953
  13. g12 = 0
  14. g13 = 0
  15. g14 = 0
  16. g15 = 0
  17. g16 = 0
  18. g17 = 0
  19. g18 = 0
  20. g19 = 0
Reconstruction high-pass filter (copy)
Biorthogonal 3.9 Reconstruction high-pass filter
  1. g'0 = -0.0006797444
  2. g'1 = -0.0020392331
  3. g'2 =  0.0050603192
  4. g'3 =  0.0206189126
  5. g'4 = -0.0141127879
  6. g'5 = -0.0991347825
  7. g'6 =  0.0123001363
  8. g'7 =  0.3201919684
  9. g'8 =  0.0020500227
  10. g'9 = -0.9421257007
  11. g'10 =  0.9421257007
  12. g'11 = -0.0020500227
  13. g'12 = -0.3201919684
  14. g'13 = -0.0123001363
  15. g'14 =  0.0991347825
  16. g'15 =  0.0141127879
  17. g'16 = -0.0206189126
  18. g'17 = -0.0050603192
  19. g'18 =  0.0020392331
  20. g'19 =  0.0006797444