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Wavelet Biorthogonal 2.8 (bior2.8)

Properties

Family: Biorthogonal (bior)

Properties: symmetric, not orthogonal, biorthogonal.

Wavelet and scaling functions

  • Biorthogonal 2.8 Decomposition scaling function

    Decomposition scaling function φ

  • Biorthogonal 2.8 Decomposition wavelet function

    Decomposition wavelet function ψ

  • Biorthogonal 2.8 Reconstruction scaling function

    Reconstruction scaling function φ

  • Biorthogonal 2.8 Reconstruction wavelet function

    Reconstruction wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Biorthogonal 2.8 Decomposition low-pass filter
  1. h0 = 0
  2. h1 =  0.0015105431
  3. h2 = -0.0030210861
  4. h3 = -0.0129475119
  5. h4 =  0.0289161098
  6. h5 =  0.0529984819
  7. h6 = -0.1349130736
  8. h7 = -0.1638291834
  9. h8 =  0.4625714405
  10. h9 =  0.9516421219
  11. h10 =  0.4625714405
  12. h11 = -0.1638291834
  13. h12 = -0.1349130736
  14. h13 =  0.0529984819
  15. h14 =  0.0289161098
  16. h15 = -0.0129475119
  17. h16 = -0.0030210861
  18. h17 =  0.0015105431
Reconstruction low-pass filter (copy↓)
Biorthogonal 2.8 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 =  0.3535533906
  9. h'8 =  0.7071067812
  10. h'9 =  0.3535533906
  11. h'10 = 0
  12. h'11 = 0
  13. h'12 = 0
  14. h'13 = 0
  15. h'14 = 0
  16. h'15 = 0
  17. h'16 = 0
  18. h'17 = 0
Decomposition high-pass filter (copy↓)
Biorthogonal 2.8 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 =  0.3535533906
  9. g8 = -0.7071067812
  10. g9 =  0.3535533906
  11. g10 = 0
  12. g11 = 0
  13. g12 = 0
  14. g13 = 0
  15. g14 = 0
  16. g15 = 0
  17. g16 = 0
  18. g17 = 0
Reconstruction high-pass filter (copy↓)
Biorthogonal 2.8 Reconstruction high-pass filter
  1. g'0 = 0
  2. g'1 = -0.0015105431
  3. g'2 = -0.0030210861
  4. g'3 =  0.0129475119
  5. g'4 =  0.0289161098
  6. g'5 = -0.0529984819
  7. g'6 = -0.1349130736
  8. g'7 =  0.1638291834
  9. g'8 =  0.4625714405
  10. g'9 = -0.9516421219
  11. g'10 =  0.4625714405
  12. g'11 =  0.1638291834
  13. g'12 = -0.1349130736
  14. g'13 = -0.0529984819
  15. g'14 =  0.0289161098
  16. g'15 =  0.0129475119
  17. g'16 = -0.0030210861
  18. g'17 = -0.0015105431