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Wavelet Symlets 15 (sym15)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 15 Scaling function

    Scaling function φ

  • Symlets 15 Wavelet function

    Wavelet function ψ

Coefficients

Show valuesHide values
Decomposition low-pass filter (copy↓)
Symlets 15 Decomposition low-pass filter
  1. h0 =  0.0000097124
  2. h1 = -0.0000073597
  3. h2 = -0.0001606619
  4. h3 =  0.0000551225
  5. h4 =  0.0010705672
  6. h5 = -0.0002673164
  7. h6 = -0.0035901654
  8. h7 =  0.0034234507
  9. h8 =  0.0100799771
  10. h9 = -0.0194050114
  11. h10 = -0.0388767169
  12. h11 =  0.0219376427
  13. h12 =  0.0407354797
  14. h13 = -0.0410826666
  15. h14 =  0.1115336951
  16. h15 =  0.5786404152
  17. h16 =  0.7218430296
  18. h17 =  0.2439627054
  19. h18 = -0.1966263588
  20. h19 = -0.1340562985
  21. h20 =  0.0683933101
  22. h21 =  0.0679698290
  23. h22 = -0.0087447889
  24. h23 = -0.0171712528
  25. h24 =  0.0015261383
  26. h25 =  0.0034810287
  27. h26 = -0.0001081544
  28. h27 = -0.0004021685
  29. h28 =  0.0000217179
  30. h29 =  0.0000286607
Reconstruction low-pass filter (copy↓)
Symlets 15 Reconstruction low-pass filter
  1. h'0 =  0.0000286607
  2. h'1 =  0.0000217179
  3. h'2 = -0.0004021685
  4. h'3 = -0.0001081544
  5. h'4 =  0.0034810287
  6. h'5 =  0.0015261383
  7. h'6 = -0.0171712528
  8. h'7 = -0.0087447889
  9. h'8 =  0.0679698290
  10. h'9 =  0.0683933101
  11. h'10 = -0.1340562985
  12. h'11 = -0.1966263588
  13. h'12 =  0.2439627054
  14. h'13 =  0.7218430296
  15. h'14 =  0.5786404152
  16. h'15 =  0.1115336951
  17. h'16 = -0.0410826666
  18. h'17 =  0.0407354797
  19. h'18 =  0.0219376427
  20. h'19 = -0.0388767169
  21. h'20 = -0.0194050114
  22. h'21 =  0.0100799771
  23. h'22 =  0.0034234507
  24. h'23 = -0.0035901654
  25. h'24 = -0.0002673164
  26. h'25 =  0.0010705672
  27. h'26 =  0.0000551225
  28. h'27 = -0.0001606619
  29. h'28 = -0.0000073597
  30. h'29 =  0.0000097124
Decomposition high-pass filter (copy↓)
Symlets 15 Decomposition high-pass filter
  1. g0 = -0.0000286607
  2. g1 =  0.0000217179
  3. g2 =  0.0004021685
  4. g3 = -0.0001081544
  5. g4 = -0.0034810287
  6. g5 =  0.0015261383
  7. g6 =  0.0171712528
  8. g7 = -0.0087447889
  9. g8 = -0.0679698290
  10. g9 =  0.0683933101
  11. g10 =  0.1340562985
  12. g11 = -0.1966263588
  13. g12 = -0.2439627054
  14. g13 =  0.7218430296
  15. g14 = -0.5786404152
  16. g15 =  0.1115336951
  17. g16 =  0.0410826666
  18. g17 =  0.0407354797
  19. g18 = -0.0219376427
  20. g19 = -0.0388767169
  21. g20 =  0.0194050114
  22. g21 =  0.0100799771
  23. g22 = -0.0034234507
  24. g23 = -0.0035901654
  25. g24 =  0.0002673164
  26. g25 =  0.0010705672
  27. g26 = -0.0000551225
  28. g27 = -0.0001606619
  29. g28 =  0.0000073597
  30. g29 =  0.0000097124
Reconstruction high-pass filter (copy↓)
Symlets 15 Reconstruction high-pass filter
  1. g'0 =  0.0000097124
  2. g'1 =  0.0000073597
  3. g'2 = -0.0001606619
  4. g'3 = -0.0000551225
  5. g'4 =  0.0010705672
  6. g'5 =  0.0002673164
  7. g'6 = -0.0035901654
  8. g'7 = -0.0034234507
  9. g'8 =  0.0100799771
  10. g'9 =  0.0194050114
  11. g'10 = -0.0388767169
  12. g'11 = -0.0219376427
  13. g'12 =  0.0407354797
  14. g'13 =  0.0410826666
  15. g'14 =  0.1115336951
  16. g'15 = -0.5786404152
  17. g'16 =  0.7218430296
  18. g'17 = -0.2439627054
  19. g'18 = -0.1966263588
  20. g'19 =  0.1340562985
  21. g'20 =  0.0683933101
  22. g'21 = -0.0679698290
  23. g'22 = -0.0087447889
  24. g'23 =  0.0171712528
  25. g'24 =  0.0015261383
  26. g'25 = -0.0034810287
  27. g'26 = -0.0001081544
  28. g'27 =  0.0004021685
  29. g'28 =  0.0000217179
  30. g'29 = -0.0000286607