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Wavelet Daubechies 15 (db15)

Properties

Family: Daubechies (db)

Properties: asymmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Daubechies 15 Scaling function

    Scaling function φ

  • Daubechies 15 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Daubechies 15 Decomposition low-pass filter
  1. h0 =  0.0000000613
  2. h1 = -0.0000006317
  3. h2 =  0.0000018113
  4. h3 =  0.0000033630
  5. h4 = -0.0000281333
  6. h5 =  0.0000257927
  7. h6 =  0.0001558965
  8. h7 = -0.0003595652
  9. h8 = -0.0003734824
  10. h9 =  0.0019433240
  11. h10 = -0.0002417565
  12. h11 = -0.0064877346
  13. h12 =  0.0051010004
  14. h13 =  0.0150839180
  15. h14 = -0.0208100502
  16. h15 = -0.0257670073
  17. h16 =  0.0547805506
  18. h17 =  0.0338771439
  19. h18 = -0.1111209360
  20. h19 = -0.0396661766
  21. h20 =  0.1901467140
  22. h21 =  0.0652829528
  23. h22 = -0.2888825966
  24. h23 = -0.1932041396
  25. h24 =  0.3390025355
  26. h25 =  0.6458131404
  27. h26 =  0.4926317717
  28. h27 =  0.2060238640
  29. h28 =  0.0467433949
  30. h29 =  0.0045385374
Reconstruction low-pass filter (copy↓)
Daubechies 15 Reconstruction low-pass filter
  1. h'0 =  0.0045385374
  2. h'1 =  0.0467433949
  3. h'2 =  0.2060238640
  4. h'3 =  0.4926317717
  5. h'4 =  0.6458131404
  6. h'5 =  0.3390025355
  7. h'6 = -0.1932041396
  8. h'7 = -0.2888825966
  9. h'8 =  0.0652829528
  10. h'9 =  0.1901467140
  11. h'10 = -0.0396661766
  12. h'11 = -0.1111209360
  13. h'12 =  0.0338771439
  14. h'13 =  0.0547805506
  15. h'14 = -0.0257670073
  16. h'15 = -0.0208100502
  17. h'16 =  0.0150839180
  18. h'17 =  0.0051010004
  19. h'18 = -0.0064877346
  20. h'19 = -0.0002417565
  21. h'20 =  0.0019433240
  22. h'21 = -0.0003734824
  23. h'22 = -0.0003595652
  24. h'23 =  0.0001558965
  25. h'24 =  0.0000257927
  26. h'25 = -0.0000281333
  27. h'26 =  0.0000033630
  28. h'27 =  0.0000018113
  29. h'28 = -0.0000006317
  30. h'29 =  0.0000000613
Decomposition high-pass filter (copy↓)
Daubechies 15 Decomposition high-pass filter
  1. g0 = -0.0045385374
  2. g1 =  0.0467433949
  3. g2 = -0.2060238640
  4. g3 =  0.4926317717
  5. g4 = -0.6458131404
  6. g5 =  0.3390025355
  7. g6 =  0.1932041396
  8. g7 = -0.2888825966
  9. g8 = -0.0652829528
  10. g9 =  0.1901467140
  11. g10 =  0.0396661766
  12. g11 = -0.1111209360
  13. g12 = -0.0338771439
  14. g13 =  0.0547805506
  15. g14 =  0.0257670073
  16. g15 = -0.0208100502
  17. g16 = -0.0150839180
  18. g17 =  0.0051010004
  19. g18 =  0.0064877346
  20. g19 = -0.0002417565
  21. g20 = -0.0019433240
  22. g21 = -0.0003734824
  23. g22 =  0.0003595652
  24. g23 =  0.0001558965
  25. g24 = -0.0000257927
  26. g25 = -0.0000281333
  27. g26 = -0.0000033630
  28. g27 =  0.0000018113
  29. g28 =  0.0000006317
  30. g29 =  0.0000000613
Reconstruction high-pass filter (copy↓)
Daubechies 15 Reconstruction high-pass filter
  1. g'0 =  0.0000000613
  2. g'1 =  0.0000006317
  3. g'2 =  0.0000018113
  4. g'3 = -0.0000033630
  5. g'4 = -0.0000281333
  6. g'5 = -0.0000257927
  7. g'6 =  0.0001558965
  8. g'7 =  0.0003595652
  9. g'8 = -0.0003734824
  10. g'9 = -0.0019433240
  11. g'10 = -0.0002417565
  12. g'11 =  0.0064877346
  13. g'12 =  0.0051010004
  14. g'13 = -0.0150839180
  15. g'14 = -0.0208100502
  16. g'15 =  0.0257670073
  17. g'16 =  0.0547805506
  18. g'17 = -0.0338771439
  19. g'18 = -0.1111209360
  20. g'19 =  0.0396661766
  21. g'20 =  0.1901467140
  22. g'21 = -0.0652829528
  23. g'22 = -0.2888825966
  24. g'23 =  0.1932041396
  25. g'24 =  0.3390025355
  26. g'25 = -0.6458131404
  27. g'26 =  0.4926317717
  28. g'27 = -0.2060238640
  29. g'28 =  0.0467433949
  30. g'29 = -0.0045385374