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Wavelet Symlets 12 (sym12)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 12 Scaling function

    Scaling function φ

  • Symlets 12 Wavelet function

    Wavelet function ψ

Coefficients

Show valuesHide values
Decomposition low-pass filter (copy↓)
Symlets 12 Decomposition low-pass filter
  1. h0 =  0.0001119672
  2. h1 = -0.0000113539
  3. h2 = -0.0013497558
  4. h3 =  0.0001802141
  5. h4 =  0.0074149655
  6. h5 = -0.0014089092
  7. h6 = -0.0242207227
  8. h7 =  0.0075537806
  9. h8 =  0.0491793183
  10. h9 = -0.0358488307
  11. h10 = -0.0221623062
  12. h11 =  0.3988859724
  13. h12 =  0.7634790978
  14. h13 =  0.4627410312
  15. h14 = -0.0783326223
  16. h15 = -0.1703706972
  17. h16 =  0.0153017406
  18. h17 =  0.0578041794
  19. h18 = -0.0026043910
  20. h19 = -0.0145898364
  21. h20 =  0.0003076478
  22. h21 =  0.0023502976
  23. h22 = -0.0000181581
  24. h23 = -0.0001790666
Reconstruction low-pass filter (copy↓)
Symlets 12 Reconstruction low-pass filter
  1. h'0 = -0.0001790666
  2. h'1 = -0.0000181581
  3. h'2 =  0.0023502976
  4. h'3 =  0.0003076478
  5. h'4 = -0.0145898364
  6. h'5 = -0.0026043910
  7. h'6 =  0.0578041794
  8. h'7 =  0.0153017406
  9. h'8 = -0.1703706972
  10. h'9 = -0.0783326223
  11. h'10 =  0.4627410312
  12. h'11 =  0.7634790978
  13. h'12 =  0.3988859724
  14. h'13 = -0.0221623062
  15. h'14 = -0.0358488307
  16. h'15 =  0.0491793183
  17. h'16 =  0.0075537806
  18. h'17 = -0.0242207227
  19. h'18 = -0.0014089092
  20. h'19 =  0.0074149655
  21. h'20 =  0.0001802141
  22. h'21 = -0.0013497558
  23. h'22 = -0.0000113539
  24. h'23 =  0.0001119672
Decomposition high-pass filter (copy↓)
Symlets 12 Decomposition high-pass filter
  1. g0 =  0.0001790666
  2. g1 = -0.0000181581
  3. g2 = -0.0023502976
  4. g3 =  0.0003076478
  5. g4 =  0.0145898364
  6. g5 = -0.0026043910
  7. g6 = -0.0578041794
  8. g7 =  0.0153017406
  9. g8 =  0.1703706972
  10. g9 = -0.0783326223
  11. g10 = -0.4627410312
  12. g11 =  0.7634790978
  13. g12 = -0.3988859724
  14. g13 = -0.0221623062
  15. g14 =  0.0358488307
  16. g15 =  0.0491793183
  17. g16 = -0.0075537806
  18. g17 = -0.0242207227
  19. g18 =  0.0014089092
  20. g19 =  0.0074149655
  21. g20 = -0.0001802141
  22. g21 = -0.0013497558
  23. g22 =  0.0000113539
  24. g23 =  0.0001119672
Reconstruction high-pass filter (copy↓)
Symlets 12 Reconstruction high-pass filter
  1. g'0 =  0.0001119672
  2. g'1 =  0.0000113539
  3. g'2 = -0.0013497558
  4. g'3 = -0.0001802141
  5. g'4 =  0.0074149655
  6. g'5 =  0.0014089092
  7. g'6 = -0.0242207227
  8. g'7 = -0.0075537806
  9. g'8 =  0.0491793183
  10. g'9 =  0.0358488307
  11. g'10 = -0.0221623062
  12. g'11 = -0.3988859724
  13. g'12 =  0.7634790978
  14. g'13 = -0.4627410312
  15. g'14 = -0.0783326223
  16. g'15 =  0.1703706972
  17. g'16 =  0.0153017406
  18. g'17 = -0.0578041794
  19. g'18 = -0.0026043910
  20. g'19 =  0.0145898364
  21. g'20 =  0.0003076478
  22. g'21 = -0.0023502976
  23. g'22 = -0.0000181581
  24. g'23 =  0.0001790666