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Wavelet Symlets 17 (sym17)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 17 Scaling function

    Scaling function φ

  • Symlets 17 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Symlets 17 Decomposition low-pass filter
  1. h0 =  0.0000042973
  2. h1 =  0.0000027801
  3. h2 = -0.0000629370
  4. h3 = -0.0000135064
  5. h4 =  0.0004759964
  6. h5 = -0.0001386423
  7. h6 = -0.0027416760
  8. h7 =  0.0008567701
  9. h8 =  0.0104823669
  10. h9 = -0.0048192128
  11. h10 = -0.0332913835
  12. h11 =  0.0179039522
  13. h12 =  0.1047546148
  14. h13 =  0.0172711782
  15. h14 = -0.1185669326
  16. h15 =  0.1423983504
  17. h16 =  0.6507166292
  18. h17 =  0.6814889953
  19. h18 =  0.1805395846
  20. h19 = -0.1550760054
  21. h20 = -0.0860708747
  22. h21 =  0.0161588087
  23. h22 = -0.0072616348
  24. h23 = -0.0180388972
  25. h24 =  0.0099529825
  26. h25 =  0.0123969884
  27. h26 = -0.0019054077
  28. h27 = -0.0039323253
  29. h28 =  0.0000584004
  30. h29 =  0.0007198271
  31. h30 =  0.0000252079
  32. h31 = -0.0000760712
  33. h32 = -0.0000024527
  34. h33 =  0.0000037913
Reconstruction low-pass filter (copy↓)
Symlets 17 Reconstruction low-pass filter
  1. h'0 =  0.0000037913
  2. h'1 = -0.0000024527
  3. h'2 = -0.0000760712
  4. h'3 =  0.0000252079
  5. h'4 =  0.0007198271
  6. h'5 =  0.0000584004
  7. h'6 = -0.0039323253
  8. h'7 = -0.0019054077
  9. h'8 =  0.0123969884
  10. h'9 =  0.0099529825
  11. h'10 = -0.0180388972
  12. h'11 = -0.0072616348
  13. h'12 =  0.0161588087
  14. h'13 = -0.0860708747
  15. h'14 = -0.1550760054
  16. h'15 =  0.1805395846
  17. h'16 =  0.6814889953
  18. h'17 =  0.6507166292
  19. h'18 =  0.1423983504
  20. h'19 = -0.1185669326
  21. h'20 =  0.0172711782
  22. h'21 =  0.1047546148
  23. h'22 =  0.0179039522
  24. h'23 = -0.0332913835
  25. h'24 = -0.0048192128
  26. h'25 =  0.0104823669
  27. h'26 =  0.0008567701
  28. h'27 = -0.0027416760
  29. h'28 = -0.0001386423
  30. h'29 =  0.0004759964
  31. h'30 = -0.0000135064
  32. h'31 = -0.0000629370
  33. h'32 =  0.0000027801
  34. h'33 =  0.0000042973
Decomposition high-pass filter (copy↓)
Symlets 17 Decomposition high-pass filter
  1. g0 = -0.0000037913
  2. g1 = -0.0000024527
  3. g2 =  0.0000760712
  4. g3 =  0.0000252079
  5. g4 = -0.0007198271
  6. g5 =  0.0000584004
  7. g6 =  0.0039323253
  8. g7 = -0.0019054077
  9. g8 = -0.0123969884
  10. g9 =  0.0099529825
  11. g10 =  0.0180388972
  12. g11 = -0.0072616348
  13. g12 = -0.0161588087
  14. g13 = -0.0860708747
  15. g14 =  0.1550760054
  16. g15 =  0.1805395846
  17. g16 = -0.6814889953
  18. g17 =  0.6507166292
  19. g18 = -0.1423983504
  20. g19 = -0.1185669326
  21. g20 = -0.0172711782
  22. g21 =  0.1047546148
  23. g22 = -0.0179039522
  24. g23 = -0.0332913835
  25. g24 =  0.0048192128
  26. g25 =  0.0104823669
  27. g26 = -0.0008567701
  28. g27 = -0.0027416760
  29. g28 =  0.0001386423
  30. g29 =  0.0004759964
  31. g30 =  0.0000135064
  32. g31 = -0.0000629370
  33. g32 = -0.0000027801
  34. g33 =  0.0000042973
Reconstruction high-pass filter (copy↓)
Symlets 17 Reconstruction high-pass filter
  1. g'0 =  0.0000042973
  2. g'1 = -0.0000027801
  3. g'2 = -0.0000629370
  4. g'3 =  0.0000135064
  5. g'4 =  0.0004759964
  6. g'5 =  0.0001386423
  7. g'6 = -0.0027416760
  8. g'7 = -0.0008567701
  9. g'8 =  0.0104823669
  10. g'9 =  0.0048192128
  11. g'10 = -0.0332913835
  12. g'11 = -0.0179039522
  13. g'12 =  0.1047546148
  14. g'13 = -0.0172711782
  15. g'14 = -0.1185669326
  16. g'15 = -0.1423983504
  17. g'16 =  0.6507166292
  18. g'17 = -0.6814889953
  19. g'18 =  0.1805395846
  20. g'19 =  0.1550760054
  21. g'20 = -0.0860708747
  22. g'21 = -0.0161588087
  23. g'22 = -0.0072616348
  24. g'23 =  0.0180388972
  25. g'24 =  0.0099529825
  26. g'25 = -0.0123969884
  27. g'26 = -0.0019054077
  28. g'27 =  0.0039323253
  29. g'28 =  0.0000584004
  30. g'29 = -0.0007198271
  31. g'30 =  0.0000252079
  32. g'31 =  0.0000760712
  33. g'32 = -0.0000024527
  34. g'33 = -0.0000037913