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Wavelet Coiflets 5 (coif5)

Properties

Family: Coiflets (coif)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Coiflets 5 Scaling function

    Scaling function φ

  • Coiflets 5 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Coiflets 5 Decomposition low-pass filter
  1. h0 = -0.0000000952
  2. h1 = -0.0000001674
  3. h2 =  0.0000020638
  4. h3 =  0.0000037347
  5. h4 = -0.0000213150
  6. h5 = -0.0000413404
  7. h6 =  0.0001405411
  8. h7 =  0.0003022596
  9. h8 = -0.0006381313
  10. h9 = -0.0016628637
  11. h10 =  0.0024333732
  12. h11 =  0.0067641854
  13. h12 = -0.0091642312
  14. h13 = -0.0197617789
  15. h14 =  0.0326835743
  16. h15 =  0.0412892088
  17. h16 = -0.1055742087
  18. h17 = -0.0620359640
  19. h18 =  0.4379916262
  20. h19 =  0.7742896037
  21. h20 =  0.4215662067
  22. h21 = -0.0520431632
  23. h22 = -0.0919200106
  24. h23 =  0.0281680290
  25. h24 =  0.0234081568
  26. h25 = -0.0101311175
  27. h26 = -0.0041593588
  28. h27 =  0.0021782364
  29. h28 =  0.0003585897
  30. h29 = -0.0002120808
Reconstruction low-pass filter (copy↓)
Coiflets 5 Reconstruction low-pass filter
  1. h'0 = -0.0002120808
  2. h'1 =  0.0003585897
  3. h'2 =  0.0021782364
  4. h'3 = -0.0041593588
  5. h'4 = -0.0101311175
  6. h'5 =  0.0234081568
  7. h'6 =  0.0281680290
  8. h'7 = -0.0919200106
  9. h'8 = -0.0520431632
  10. h'9 =  0.4215662067
  11. h'10 =  0.7742896037
  12. h'11 =  0.4379916262
  13. h'12 = -0.0620359640
  14. h'13 = -0.1055742087
  15. h'14 =  0.0412892088
  16. h'15 =  0.0326835743
  17. h'16 = -0.0197617789
  18. h'17 = -0.0091642312
  19. h'18 =  0.0067641854
  20. h'19 =  0.0024333732
  21. h'20 = -0.0016628637
  22. h'21 = -0.0006381313
  23. h'22 =  0.0003022596
  24. h'23 =  0.0001405411
  25. h'24 = -0.0000413404
  26. h'25 = -0.0000213150
  27. h'26 =  0.0000037347
  28. h'27 =  0.0000020638
  29. h'28 = -0.0000001674
  30. h'29 = -0.0000000952
Decomposition high-pass filter (copy↓)
Coiflets 5 Decomposition high-pass filter
  1. g0 =  0.0002120808
  2. g1 =  0.0003585897
  3. g2 = -0.0021782364
  4. g3 = -0.0041593588
  5. g4 =  0.0101311175
  6. g5 =  0.0234081568
  7. g6 = -0.0281680290
  8. g7 = -0.0919200106
  9. g8 =  0.0520431632
  10. g9 =  0.4215662067
  11. g10 = -0.7742896037
  12. g11 =  0.4379916262
  13. g12 =  0.0620359640
  14. g13 = -0.1055742087
  15. g14 = -0.0412892088
  16. g15 =  0.0326835743
  17. g16 =  0.0197617789
  18. g17 = -0.0091642312
  19. g18 = -0.0067641854
  20. g19 =  0.0024333732
  21. g20 =  0.0016628637
  22. g21 = -0.0006381313
  23. g22 = -0.0003022596
  24. g23 =  0.0001405411
  25. g24 =  0.0000413404
  26. g25 = -0.0000213150
  27. g26 = -0.0000037347
  28. g27 =  0.0000020638
  29. g28 =  0.0000001674
  30. g29 = -0.0000000952
Reconstruction high-pass filter (copy↓)
Coiflets 5 Reconstruction high-pass filter
  1. g'0 = -0.0000000952
  2. g'1 =  0.0000001674
  3. g'2 =  0.0000020638
  4. g'3 = -0.0000037347
  5. g'4 = -0.0000213150
  6. g'5 =  0.0000413404
  7. g'6 =  0.0001405411
  8. g'7 = -0.0003022596
  9. g'8 = -0.0006381313
  10. g'9 =  0.0016628637
  11. g'10 =  0.0024333732
  12. g'11 = -0.0067641854
  13. g'12 = -0.0091642312
  14. g'13 =  0.0197617789
  15. g'14 =  0.0326835743
  16. g'15 = -0.0412892088
  17. g'16 = -0.1055742087
  18. g'17 =  0.0620359640
  19. g'18 =  0.4379916262
  20. g'19 = -0.7742896037
  21. g'20 =  0.4215662067
  22. g'21 =  0.0520431632
  23. g'22 = -0.0919200106
  24. g'23 = -0.0281680290
  25. g'24 =  0.0234081568
  26. g'25 =  0.0101311175
  27. g'26 = -0.0041593588
  28. g'27 = -0.0021782364
  29. g'28 =  0.0003585897
  30. g'29 =  0.0002120808