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Wavelet Biorthogonal 3.7 (bior3.7)

Properties

Family: Biorthogonal (bior)

Properties: symmetric, not orthogonal, biorthogonal.

Wavelet and scaling functions

  • Biorthogonal 3.7 Decomposition scaling function

    Decomposition scaling function φ

  • Biorthogonal 3.7 Decomposition wavelet function

    Decomposition wavelet function ψ

  • Biorthogonal 3.7 Reconstruction scaling function

    Reconstruction scaling function φ

  • Biorthogonal 3.7 Reconstruction wavelet function

    Reconstruction wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Biorthogonal 3.7 Decomposition low-pass filter
  1. h0 =  0.0030210861
  2. h1 = -0.0090632583
  3. h2 = -0.0168317654
  4. h3 =  0.0746639851
  5. h4 =  0.0313329787
  6. h5 = -0.3011591259
  7. h6 = -0.0264992409
  8. h7 =  0.9516421219
  9. h8 =  0.9516421219
  10. h9 = -0.0264992409
  11. h10 = -0.3011591259
  12. h11 =  0.0313329787
  13. h12 =  0.0746639851
  14. h13 = -0.0168317654
  15. h14 = -0.0090632583
  16. h15 =  0.0030210861
Reconstruction low-pass filter (copy↓)
Biorthogonal 3.7 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 =  0.1767766953
  8. h'7 =  0.5303300859
  9. h'8 =  0.5303300859
  10. h'9 =  0.1767766953
  11. h'10 = 0
  12. h'11 = 0
  13. h'12 = 0
  14. h'13 = 0
  15. h'14 = 0
  16. h'15 = 0
Decomposition high-pass filter (copy↓)
Biorthogonal 3.7 Decomposition high-pass filter
  1. g0 = 0
  2. g1 = 0
  3. g2 = 0
  4. g3 = 0
  5. g4 = 0
  6. g5 = 0
  7. g6 = -0.1767766953
  8. g7 =  0.5303300859
  9. g8 = -0.5303300859
  10. g9 =  0.1767766953
  11. g10 = 0
  12. g11 = 0
  13. g12 = 0
  14. g13 = 0
  15. g14 = 0
  16. g15 = 0
Reconstruction high-pass filter (copy↓)
Biorthogonal 3.7 Reconstruction high-pass filter
  1. g'0 =  0.0030210861
  2. g'1 =  0.0090632583
  3. g'2 = -0.0168317654
  4. g'3 = -0.0746639851
  5. g'4 =  0.0313329787
  6. g'5 =  0.3011591259
  7. g'6 = -0.0264992409
  8. g'7 = -0.9516421219
  9. g'8 =  0.9516421219
  10. g'9 =  0.0264992409
  11. g'10 = -0.3011591259
  12. g'11 = -0.0313329787
  13. g'12 =  0.0746639851
  14. g'13 =  0.0168317654
  15. g'14 = -0.0090632583
  16. g'15 = -0.0030210861