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Wavelet Symlets 18 (sym18)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 18 Scaling function

    Scaling function φ

  • Symlets 18 Wavelet function

    Wavelet function ψ

Coefficients

Show valuesHide values
Decomposition low-pass filter (copy↓)
Symlets 18 Decomposition low-pass filter
  1. h0 =  0.0000026126
  2. h1 =  0.0000013549
  3. h2 = -0.0000452468
  4. h3 = -0.0000140210
  5. h4 =  0.0003961684
  6. h5 =  0.0000702127
  7. h6 = -0.0023138718
  8. h7 = -0.0004115211
  9. h8 =  0.0095021644
  10. h9 =  0.0016429864
  11. h10 = -0.0303250911
  12. h11 = -0.0050770852
  13. h12 =  0.0842199300
  14. h13 =  0.0339956671
  15. h14 = -0.1599381487
  16. h15 = -0.0520291590
  17. h16 =  0.4739690599
  18. h17 =  0.7536291401
  19. h18 =  0.4014838606
  20. h19 = -0.0324805733
  21. h20 = -0.0737992073
  22. h21 =  0.0285295970
  23. h22 =  0.0062779446
  24. h23 = -0.0317126847
  25. h24 = -0.0032607442
  26. h25 =  0.0150123563
  27. h26 =  0.0010877848
  28. h27 = -0.0052397897
  29. h28 = -0.0001887762
  30. h29 =  0.0014280863
  31. h30 =  0.0000474161
  32. h31 = -0.0002658301
  33. h32 = -0.0000098588
  34. h33 =  0.0000295574
  35. h34 =  0.0000007847
  36. h35 = -0.0000015132
Reconstruction low-pass filter (copy↓)
Symlets 18 Reconstruction low-pass filter
  1. h'0 = -0.0000015132
  2. h'1 =  0.0000007847
  3. h'2 =  0.0000295574
  4. h'3 = -0.0000098588
  5. h'4 = -0.0002658301
  6. h'5 =  0.0000474161
  7. h'6 =  0.0014280863
  8. h'7 = -0.0001887762
  9. h'8 = -0.0052397897
  10. h'9 =  0.0010877848
  11. h'10 =  0.0150123563
  12. h'11 = -0.0032607442
  13. h'12 = -0.0317126847
  14. h'13 =  0.0062779446
  15. h'14 =  0.0285295970
  16. h'15 = -0.0737992073
  17. h'16 = -0.0324805733
  18. h'17 =  0.4014838606
  19. h'18 =  0.7536291401
  20. h'19 =  0.4739690599
  21. h'20 = -0.0520291590
  22. h'21 = -0.1599381487
  23. h'22 =  0.0339956671
  24. h'23 =  0.0842199300
  25. h'24 = -0.0050770852
  26. h'25 = -0.0303250911
  27. h'26 =  0.0016429864
  28. h'27 =  0.0095021644
  29. h'28 = -0.0004115211
  30. h'29 = -0.0023138718
  31. h'30 =  0.0000702127
  32. h'31 =  0.0003961684
  33. h'32 = -0.0000140210
  34. h'33 = -0.0000452468
  35. h'34 =  0.0000013549
  36. h'35 =  0.0000026126
Decomposition high-pass filter (copy↓)
Symlets 18 Decomposition high-pass filter
  1. g0 =  0.0000015132
  2. g1 =  0.0000007847
  3. g2 = -0.0000295574
  4. g3 = -0.0000098588
  5. g4 =  0.0002658301
  6. g5 =  0.0000474161
  7. g6 = -0.0014280863
  8. g7 = -0.0001887762
  9. g8 =  0.0052397897
  10. g9 =  0.0010877848
  11. g10 = -0.0150123563
  12. g11 = -0.0032607442
  13. g12 =  0.0317126847
  14. g13 =  0.0062779446
  15. g14 = -0.0285295970
  16. g15 = -0.0737992073
  17. g16 =  0.0324805733
  18. g17 =  0.4014838606
  19. g18 = -0.7536291401
  20. g19 =  0.4739690599
  21. g20 =  0.0520291590
  22. g21 = -0.1599381487
  23. g22 = -0.0339956671
  24. g23 =  0.0842199300
  25. g24 =  0.0050770852
  26. g25 = -0.0303250911
  27. g26 = -0.0016429864
  28. g27 =  0.0095021644
  29. g28 =  0.0004115211
  30. g29 = -0.0023138718
  31. g30 = -0.0000702127
  32. g31 =  0.0003961684
  33. g32 =  0.0000140210
  34. g33 = -0.0000452468
  35. g34 = -0.0000013549
  36. g35 =  0.0000026126
Reconstruction high-pass filter (copy↓)
Symlets 18 Reconstruction high-pass filter
  1. g'0 =  0.0000026126
  2. g'1 = -0.0000013549
  3. g'2 = -0.0000452468
  4. g'3 =  0.0000140210
  5. g'4 =  0.0003961684
  6. g'5 = -0.0000702127
  7. g'6 = -0.0023138718
  8. g'7 =  0.0004115211
  9. g'8 =  0.0095021644
  10. g'9 = -0.0016429864
  11. g'10 = -0.0303250911
  12. g'11 =  0.0050770852
  13. g'12 =  0.0842199300
  14. g'13 = -0.0339956671
  15. g'14 = -0.1599381487
  16. g'15 =  0.0520291590
  17. g'16 =  0.4739690599
  18. g'17 = -0.7536291401
  19. g'18 =  0.4014838606
  20. g'19 =  0.0324805733
  21. g'20 = -0.0737992073
  22. g'21 = -0.0285295970
  23. g'22 =  0.0062779446
  24. g'23 =  0.0317126847
  25. g'24 = -0.0032607442
  26. g'25 = -0.0150123563
  27. g'26 =  0.0010877848
  28. g'27 =  0.0052397897
  29. g'28 = -0.0001887762
  30. g'29 = -0.0014280863
  31. g'30 =  0.0000474161
  32. g'31 =  0.0002658301
  33. g'32 = -0.0000098588
  34. g'33 = -0.0000295574
  35. g'34 =  0.0000007847
  36. g'35 =  0.0000015132