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Wavelet Daubechies 12 (db12)

Properties

Family: Daubechies (db)

Properties: asymmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Daubechies 12 Scaling function

    Scaling function φ

  • Daubechies 12 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Daubechies 12 Decomposition low-pass filter
  1. h0 = -0.0000015291
  2. h1 =  0.0000127770
  3. h2 = -0.0000242415
  4. h3 = -0.0000885041
  5. h4 =  0.0003886531
  6. h5 =  0.0000065451
  7. h6 = -0.0021795036
  8. h7 =  0.0022486072
  9. h8 =  0.0067114990
  10. h9 = -0.0128408252
  11. h10 = -0.0122186491
  12. h11 =  0.0415462775
  13. h12 =  0.0108491303
  14. h13 = -0.0964321201
  15. h14 =  0.0053595697
  16. h15 =  0.1824786059
  17. h16 = -0.0237792573
  18. h17 = -0.3161784538
  19. h18 = -0.0447638857
  20. h19 =  0.5158864784
  21. h20 =  0.6571987226
  22. h21 =  0.3773551352
  23. h22 =  0.1095662728
  24. h23 =  0.0131122580
Reconstruction low-pass filter (copy↓)
Daubechies 12 Reconstruction low-pass filter
  1. h'0 =  0.0131122580
  2. h'1 =  0.1095662728
  3. h'2 =  0.3773551352
  4. h'3 =  0.6571987226
  5. h'4 =  0.5158864784
  6. h'5 = -0.0447638857
  7. h'6 = -0.3161784538
  8. h'7 = -0.0237792573
  9. h'8 =  0.1824786059
  10. h'9 =  0.0053595697
  11. h'10 = -0.0964321201
  12. h'11 =  0.0108491303
  13. h'12 =  0.0415462775
  14. h'13 = -0.0122186491
  15. h'14 = -0.0128408252
  16. h'15 =  0.0067114990
  17. h'16 =  0.0022486072
  18. h'17 = -0.0021795036
  19. h'18 =  0.0000065451
  20. h'19 =  0.0003886531
  21. h'20 = -0.0000885041
  22. h'21 = -0.0000242415
  23. h'22 =  0.0000127770
  24. h'23 = -0.0000015291
Decomposition high-pass filter (copy↓)
Daubechies 12 Decomposition high-pass filter
  1. g0 = -0.0131122580
  2. g1 =  0.1095662728
  3. g2 = -0.3773551352
  4. g3 =  0.6571987226
  5. g4 = -0.5158864784
  6. g5 = -0.0447638857
  7. g6 =  0.3161784538
  8. g7 = -0.0237792573
  9. g8 = -0.1824786059
  10. g9 =  0.0053595697
  11. g10 =  0.0964321201
  12. g11 =  0.0108491303
  13. g12 = -0.0415462775
  14. g13 = -0.0122186491
  15. g14 =  0.0128408252
  16. g15 =  0.0067114990
  17. g16 = -0.0022486072
  18. g17 = -0.0021795036
  19. g18 = -0.0000065451
  20. g19 =  0.0003886531
  21. g20 =  0.0000885041
  22. g21 = -0.0000242415
  23. g22 = -0.0000127770
  24. g23 = -0.0000015291
Reconstruction high-pass filter (copy↓)
Daubechies 12 Reconstruction high-pass filter
  1. g'0 = -0.0000015291
  2. g'1 = -0.0000127770
  3. g'2 = -0.0000242415
  4. g'3 =  0.0000885041
  5. g'4 =  0.0003886531
  6. g'5 = -0.0000065451
  7. g'6 = -0.0021795036
  8. g'7 = -0.0022486072
  9. g'8 =  0.0067114990
  10. g'9 =  0.0128408252
  11. g'10 = -0.0122186491
  12. g'11 = -0.0415462775
  13. g'12 =  0.0108491303
  14. g'13 =  0.0964321201
  15. g'14 =  0.0053595697
  16. g'15 = -0.1824786059
  17. g'16 = -0.0237792573
  18. g'17 =  0.3161784538
  19. g'18 = -0.0447638857
  20. g'19 = -0.5158864784
  21. g'20 =  0.6571987226
  22. g'21 = -0.3773551352
  23. g'22 =  0.1095662728
  24. g'23 = -0.0131122580