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Wavelet Daubechies 17 (db17)

Properties

Family: Daubechies (db)

Properties: asymmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Daubechies 17 Scaling function

    Scaling function φ

  • Daubechies 17 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Daubechies 17 Decomposition low-pass filter
  1. h0 =  0.0000000073
  2. h1 = -0.0000000842
  3. h2 =  0.0000002958
  4. h3 =  0.0000003017
  5. h4 = -0.0000045059
  6. h5 =  0.0000069906
  7. h6 =  0.0000231868
  8. h7 = -0.0000820480
  9. h8 = -0.0000256101
  10. h9 =  0.0004394654
  11. h10 = -0.0003281325
  12. h11 = -0.0014368453
  13. h12 =  0.0023012052
  14. h13 =  0.0029679967
  15. h14 = -0.0086029215
  16. h15 = -0.0030429900
  17. h16 =  0.0227336766
  18. h17 = -0.0032709555
  19. h18 = -0.0469224384
  20. h19 =  0.0223123362
  21. h20 =  0.0811059867
  22. h21 = -0.0570914196
  23. h22 = -0.1268156918
  24. h23 =  0.1011354892
  25. h24 =  0.1973105896
  26. h25 = -0.1265997522
  27. h26 = -0.3283207484
  28. h27 =  0.0273149704
  29. h28 =  0.5183157641
  30. h29 =  0.6109966157
  31. h30 =  0.3703507242
  32. h31 =  0.1312149033
  33. h32 =  0.0259853937
  34. h33 =  0.0022418070
Reconstruction low-pass filter (copy↓)
Daubechies 17 Reconstruction low-pass filter
  1. h'0 =  0.0022418070
  2. h'1 =  0.0259853937
  3. h'2 =  0.1312149033
  4. h'3 =  0.3703507242
  5. h'4 =  0.6109966157
  6. h'5 =  0.5183157641
  7. h'6 =  0.0273149704
  8. h'7 = -0.3283207484
  9. h'8 = -0.1265997522
  10. h'9 =  0.1973105896
  11. h'10 =  0.1011354892
  12. h'11 = -0.1268156918
  13. h'12 = -0.0570914196
  14. h'13 =  0.0811059867
  15. h'14 =  0.0223123362
  16. h'15 = -0.0469224384
  17. h'16 = -0.0032709555
  18. h'17 =  0.0227336766
  19. h'18 = -0.0030429900
  20. h'19 = -0.0086029215
  21. h'20 =  0.0029679967
  22. h'21 =  0.0023012052
  23. h'22 = -0.0014368453
  24. h'23 = -0.0003281325
  25. h'24 =  0.0004394654
  26. h'25 = -0.0000256101
  27. h'26 = -0.0000820480
  28. h'27 =  0.0000231868
  29. h'28 =  0.0000069906
  30. h'29 = -0.0000045059
  31. h'30 =  0.0000003017
  32. h'31 =  0.0000002958
  33. h'32 = -0.0000000842
  34. h'33 =  0.0000000073
Decomposition high-pass filter (copy↓)
Daubechies 17 Decomposition high-pass filter
  1. g0 = -0.0022418070
  2. g1 =  0.0259853937
  3. g2 = -0.1312149033
  4. g3 =  0.3703507242
  5. g4 = -0.6109966157
  6. g5 =  0.5183157641
  7. g6 = -0.0273149704
  8. g7 = -0.3283207484
  9. g8 =  0.1265997522
  10. g9 =  0.1973105896
  11. g10 = -0.1011354892
  12. g11 = -0.1268156918
  13. g12 =  0.0570914196
  14. g13 =  0.0811059867
  15. g14 = -0.0223123362
  16. g15 = -0.0469224384
  17. g16 =  0.0032709555
  18. g17 =  0.0227336766
  19. g18 =  0.0030429900
  20. g19 = -0.0086029215
  21. g20 = -0.0029679967
  22. g21 =  0.0023012052
  23. g22 =  0.0014368453
  24. g23 = -0.0003281325
  25. g24 = -0.0004394654
  26. g25 = -0.0000256101
  27. g26 =  0.0000820480
  28. g27 =  0.0000231868
  29. g28 = -0.0000069906
  30. g29 = -0.0000045059
  31. g30 = -0.0000003017
  32. g31 =  0.0000002958
  33. g32 =  0.0000000842
  34. g33 =  0.0000000073
Reconstruction high-pass filter (copy↓)
Daubechies 17 Reconstruction high-pass filter
  1. g'0 =  0.0000000073
  2. g'1 =  0.0000000842
  3. g'2 =  0.0000002958
  4. g'3 = -0.0000003017
  5. g'4 = -0.0000045059
  6. g'5 = -0.0000069906
  7. g'6 =  0.0000231868
  8. g'7 =  0.0000820480
  9. g'8 = -0.0000256101
  10. g'9 = -0.0004394654
  11. g'10 = -0.0003281325
  12. g'11 =  0.0014368453
  13. g'12 =  0.0023012052
  14. g'13 = -0.0029679967
  15. g'14 = -0.0086029215
  16. g'15 =  0.0030429900
  17. g'16 =  0.0227336766
  18. g'17 =  0.0032709555
  19. g'18 = -0.0469224384
  20. g'19 = -0.0223123362
  21. g'20 =  0.0811059867
  22. g'21 =  0.0570914196
  23. g'22 = -0.1268156918
  24. g'23 = -0.1011354892
  25. g'24 =  0.1973105896
  26. g'25 =  0.1265997522
  27. g'26 = -0.3283207484
  28. g'27 = -0.0273149704
  29. g'28 =  0.5183157641
  30. g'29 = -0.6109966157
  31. g'30 =  0.3703507242
  32. g'31 = -0.1312149033
  33. g'32 =  0.0259853937
  34. g'33 = -0.0022418070