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Wavelet Daubechies 13 (db13)

Properties

Family: Daubechies (db)

Properties: asymmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Daubechies 13 Scaling function

    Scaling function φ

  • Daubechies 13 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Daubechies 13 Decomposition low-pass filter
  1. h0 =  0.0000005220
  2. h1 = -0.0000047004
  3. h2 =  0.0000104419
  4. h3 =  0.0000306785
  5. h4 = -0.0001651290
  6. h5 =  0.0000492515
  7. h6 =  0.0009323261
  8. h7 = -0.0013156739
  9. h8 = -0.0027619112
  10. h9 =  0.0072555894
  11. h10 =  0.0039239414
  12. h11 = -0.0238314207
  13. h12 =  0.0023799723
  14. h13 =  0.0561394771
  15. h14 = -0.0264884065
  16. h15 = -0.1058076182
  17. h16 =  0.0729489337
  18. h17 =  0.1794760794
  19. h18 = -0.1245767308
  20. h19 = -0.3149729077
  21. h20 =  0.0869857262
  22. h21 =  0.5888895704
  23. h22 =  0.6110558512
  24. h23 =  0.3119963222
  25. h24 =  0.0828612439
  26. h25 =  0.0092021335
Reconstruction low-pass filter (copy↓)
Daubechies 13 Reconstruction low-pass filter
  1. h'0 =  0.0092021335
  2. h'1 =  0.0828612439
  3. h'2 =  0.3119963222
  4. h'3 =  0.6110558512
  5. h'4 =  0.5888895704
  6. h'5 =  0.0869857262
  7. h'6 = -0.3149729077
  8. h'7 = -0.1245767308
  9. h'8 =  0.1794760794
  10. h'9 =  0.0729489337
  11. h'10 = -0.1058076182
  12. h'11 = -0.0264884065
  13. h'12 =  0.0561394771
  14. h'13 =  0.0023799723
  15. h'14 = -0.0238314207
  16. h'15 =  0.0039239414
  17. h'16 =  0.0072555894
  18. h'17 = -0.0027619112
  19. h'18 = -0.0013156739
  20. h'19 =  0.0009323261
  21. h'20 =  0.0000492515
  22. h'21 = -0.0001651290
  23. h'22 =  0.0000306785
  24. h'23 =  0.0000104419
  25. h'24 = -0.0000047004
  26. h'25 =  0.0000005220
Decomposition high-pass filter (copy↓)
Daubechies 13 Decomposition high-pass filter
  1. g0 = -0.0092021335
  2. g1 =  0.0828612439
  3. g2 = -0.3119963222
  4. g3 =  0.6110558512
  5. g4 = -0.5888895704
  6. g5 =  0.0869857262
  7. g6 =  0.3149729077
  8. g7 = -0.1245767308
  9. g8 = -0.1794760794
  10. g9 =  0.0729489337
  11. g10 =  0.1058076182
  12. g11 = -0.0264884065
  13. g12 = -0.0561394771
  14. g13 =  0.0023799723
  15. g14 =  0.0238314207
  16. g15 =  0.0039239414
  17. g16 = -0.0072555894
  18. g17 = -0.0027619112
  19. g18 =  0.0013156739
  20. g19 =  0.0009323261
  21. g20 = -0.0000492515
  22. g21 = -0.0001651290
  23. g22 = -0.0000306785
  24. g23 =  0.0000104419
  25. g24 =  0.0000047004
  26. g25 =  0.0000005220
Reconstruction high-pass filter (copy↓)
Daubechies 13 Reconstruction high-pass filter
  1. g'0 =  0.0000005220
  2. g'1 =  0.0000047004
  3. g'2 =  0.0000104419
  4. g'3 = -0.0000306785
  5. g'4 = -0.0001651290
  6. g'5 = -0.0000492515
  7. g'6 =  0.0009323261
  8. g'7 =  0.0013156739
  9. g'8 = -0.0027619112
  10. g'9 = -0.0072555894
  11. g'10 =  0.0039239414
  12. g'11 =  0.0238314207
  13. g'12 =  0.0023799723
  14. g'13 = -0.0561394771
  15. g'14 = -0.0264884065
  16. g'15 =  0.1058076182
  17. g'16 =  0.0729489337
  18. g'17 = -0.1794760794
  19. g'18 = -0.1245767308
  20. g'19 =  0.3149729077
  21. g'20 =  0.0869857262
  22. g'21 = -0.5888895704
  23. g'22 =  0.6110558512
  24. g'23 = -0.3119963222
  25. g'24 =  0.0828612439
  26. g'25 = -0.0092021335