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Wavelet Coiflets 4 (coif4)

Properties

Family: Coiflets (coif)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Coiflets 4 Scaling function

    Scaling function φ

  • Coiflets 4 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Coiflets 4 Decomposition low-pass filter
  1. h0 = -0.0000017850
  2. h1 = -0.0000032597
  3. h2 =  0.0000312299
  4. h3 =  0.0000623390
  5. h4 = -0.0002599746
  6. h5 = -0.0005890208
  7. h6 =  0.0012665619
  8. h7 =  0.0037514362
  9. h8 = -0.0056582867
  10. h9 = -0.0152117315
  11. h10 =  0.0250822618
  12. h11 =  0.0393344271
  13. h12 = -0.0962204420
  14. h13 = -0.0666274743
  15. h14 =  0.4343860565
  16. h15 =  0.7822389309
  17. h16 =  0.4153084070
  18. h17 = -0.0560773133
  19. h18 = -0.0812666997
  20. h19 =  0.0266823002
  21. h20 =  0.0160689440
  22. h21 = -0.0073461663
  23. h22 = -0.0016294920
  24. h23 =  0.0008923137
Reconstruction low-pass filter (copy↓)
Coiflets 4 Reconstruction low-pass filter
  1. h'0 =  0.0008923137
  2. h'1 = -0.0016294920
  3. h'2 = -0.0073461663
  4. h'3 =  0.0160689440
  5. h'4 =  0.0266823002
  6. h'5 = -0.0812666997
  7. h'6 = -0.0560773133
  8. h'7 =  0.4153084070
  9. h'8 =  0.7822389309
  10. h'9 =  0.4343860565
  11. h'10 = -0.0666274743
  12. h'11 = -0.0962204420
  13. h'12 =  0.0393344271
  14. h'13 =  0.0250822618
  15. h'14 = -0.0152117315
  16. h'15 = -0.0056582867
  17. h'16 =  0.0037514362
  18. h'17 =  0.0012665619
  19. h'18 = -0.0005890208
  20. h'19 = -0.0002599746
  21. h'20 =  0.0000623390
  22. h'21 =  0.0000312299
  23. h'22 = -0.0000032597
  24. h'23 = -0.0000017850
Decomposition high-pass filter (copy↓)
Coiflets 4 Decomposition high-pass filter
  1. g0 = -0.0008923137
  2. g1 = -0.0016294920
  3. g2 =  0.0073461663
  4. g3 =  0.0160689440
  5. g4 = -0.0266823002
  6. g5 = -0.0812666997
  7. g6 =  0.0560773133
  8. g7 =  0.4153084070
  9. g8 = -0.7822389309
  10. g9 =  0.4343860565
  11. g10 =  0.0666274743
  12. g11 = -0.0962204420
  13. g12 = -0.0393344271
  14. g13 =  0.0250822618
  15. g14 =  0.0152117315
  16. g15 = -0.0056582867
  17. g16 = -0.0037514362
  18. g17 =  0.0012665619
  19. g18 =  0.0005890208
  20. g19 = -0.0002599746
  21. g20 = -0.0000623390
  22. g21 =  0.0000312299
  23. g22 =  0.0000032597
  24. g23 = -0.0000017850
Reconstruction high-pass filter (copy↓)
Coiflets 4 Reconstruction high-pass filter
  1. g'0 = -0.0000017850
  2. g'1 =  0.0000032597
  3. g'2 =  0.0000312299
  4. g'3 = -0.0000623390
  5. g'4 = -0.0002599746
  6. g'5 =  0.0005890208
  7. g'6 =  0.0012665619
  8. g'7 = -0.0037514362
  9. g'8 = -0.0056582867
  10. g'9 =  0.0152117315
  11. g'10 =  0.0250822618
  12. g'11 = -0.0393344271
  13. g'12 = -0.0962204420
  14. g'13 =  0.0666274743
  15. g'14 =  0.4343860565
  16. g'15 = -0.7822389309
  17. g'16 =  0.4153084070
  18. g'17 =  0.0560773133
  19. g'18 = -0.0812666997
  20. g'19 = -0.0266823002
  21. g'20 =  0.0160689440
  22. g'21 =  0.0073461663
  23. g'22 = -0.0016294920
  24. g'23 = -0.0008923137