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Wavelet Symlets 19 (sym19)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 19 Scaling function

    Scaling function φ

  • Symlets 19 Wavelet function

    Wavelet function ψ

Coefficients

Show valuesHide values
Decomposition low-pass filter (copy↓)
Symlets 19 Decomposition low-pass filter
  1. h0 =  0.0000005488
  2. h1 = -0.0000006464
  3. h2 = -0.0000118805
  4. h3 =  0.0000088733
  5. h4 =  0.0001155392
  6. h5 = -0.0000461204
  7. h6 = -0.0006357645
  8. h7 =  0.0001591580
  9. h8 =  0.0021214250
  10. h9 = -0.0011607033
  11. h10 = -0.0051222050
  12. h11 =  0.0079684383
  13. h12 =  0.0157974393
  14. h13 = -0.0226519934
  15. h14 = -0.0466359835
  16. h15 =  0.0070155739
  17. h16 =  0.0089545912
  18. h17 = -0.0675250580
  19. h18 =  0.1090258251
  20. h19 =  0.5781449453
  21. h20 =  0.7195555257
  22. h21 =  0.2582661692
  23. h22 = -0.1765968663
  24. h23 = -0.1162417301
  25. h24 =  0.0936308434
  26. h25 =  0.0840726763
  27. h26 = -0.0169082349
  28. h27 = -0.0277098969
  29. h28 =  0.0043193519
  30. h29 =  0.0082622370
  31. h30 = -0.0006179223
  32. h31 = -0.0017049603
  33. h32 =  0.0001293077
  34. h33 =  0.0002762188
  35. h34 = -0.0000168214
  36. h35 = -0.0000281511
  37. h36 =  0.0000020623
  38. h37 =  0.0000017509
Reconstruction low-pass filter (copy↓)
Symlets 19 Reconstruction low-pass filter
  1. h'0 =  0.0000017509
  2. h'1 =  0.0000020623
  3. h'2 = -0.0000281511
  4. h'3 = -0.0000168214
  5. h'4 =  0.0002762188
  6. h'5 =  0.0001293077
  7. h'6 = -0.0017049603
  8. h'7 = -0.0006179223
  9. h'8 =  0.0082622370
  10. h'9 =  0.0043193519
  11. h'10 = -0.0277098969
  12. h'11 = -0.0169082349
  13. h'12 =  0.0840726763
  14. h'13 =  0.0936308434
  15. h'14 = -0.1162417301
  16. h'15 = -0.1765968663
  17. h'16 =  0.2582661692
  18. h'17 =  0.7195555257
  19. h'18 =  0.5781449453
  20. h'19 =  0.1090258251
  21. h'20 = -0.0675250580
  22. h'21 =  0.0089545912
  23. h'22 =  0.0070155739
  24. h'23 = -0.0466359835
  25. h'24 = -0.0226519934
  26. h'25 =  0.0157974393
  27. h'26 =  0.0079684383
  28. h'27 = -0.0051222050
  29. h'28 = -0.0011607033
  30. h'29 =  0.0021214250
  31. h'30 =  0.0001591580
  32. h'31 = -0.0006357645
  33. h'32 = -0.0000461204
  34. h'33 =  0.0001155392
  35. h'34 =  0.0000088733
  36. h'35 = -0.0000118805
  37. h'36 = -0.0000006464
  38. h'37 =  0.0000005488
Decomposition high-pass filter (copy↓)
Symlets 19 Decomposition high-pass filter
  1. g0 = -0.0000017509
  2. g1 =  0.0000020623
  3. g2 =  0.0000281511
  4. g3 = -0.0000168214
  5. g4 = -0.0002762188
  6. g5 =  0.0001293077
  7. g6 =  0.0017049603
  8. g7 = -0.0006179223
  9. g8 = -0.0082622370
  10. g9 =  0.0043193519
  11. g10 =  0.0277098969
  12. g11 = -0.0169082349
  13. g12 = -0.0840726763
  14. g13 =  0.0936308434
  15. g14 =  0.1162417301
  16. g15 = -0.1765968663
  17. g16 = -0.2582661692
  18. g17 =  0.7195555257
  19. g18 = -0.5781449453
  20. g19 =  0.1090258251
  21. g20 =  0.0675250580
  22. g21 =  0.0089545912
  23. g22 = -0.0070155739
  24. g23 = -0.0466359835
  25. g24 =  0.0226519934
  26. g25 =  0.0157974393
  27. g26 = -0.0079684383
  28. g27 = -0.0051222050
  29. g28 =  0.0011607033
  30. g29 =  0.0021214250
  31. g30 = -0.0001591580
  32. g31 = -0.0006357645
  33. g32 =  0.0000461204
  34. g33 =  0.0001155392
  35. g34 = -0.0000088733
  36. g35 = -0.0000118805
  37. g36 =  0.0000006464
  38. g37 =  0.0000005488
Reconstruction high-pass filter (copy↓)
Symlets 19 Reconstruction high-pass filter
  1. g'0 =  0.0000005488
  2. g'1 =  0.0000006464
  3. g'2 = -0.0000118805
  4. g'3 = -0.0000088733
  5. g'4 =  0.0001155392
  6. g'5 =  0.0000461204
  7. g'6 = -0.0006357645
  8. g'7 = -0.0001591580
  9. g'8 =  0.0021214250
  10. g'9 =  0.0011607033
  11. g'10 = -0.0051222050
  12. g'11 = -0.0079684383
  13. g'12 =  0.0157974393
  14. g'13 =  0.0226519934
  15. g'14 = -0.0466359835
  16. g'15 = -0.0070155739
  17. g'16 =  0.0089545912
  18. g'17 =  0.0675250580
  19. g'18 =  0.1090258251
  20. g'19 = -0.5781449453
  21. g'20 =  0.7195555257
  22. g'21 = -0.2582661692
  23. g'22 = -0.1765968663
  24. g'23 =  0.1162417301
  25. g'24 =  0.0936308434
  26. g'25 = -0.0840726763
  27. g'26 = -0.0169082349
  28. g'27 =  0.0277098969
  29. g'28 =  0.0043193519
  30. g'29 = -0.0082622370
  31. g'30 = -0.0006179223
  32. g'31 =  0.0017049603
  33. g'32 =  0.0001293077
  34. g'33 = -0.0002762188
  35. g'34 = -0.0000168214
  36. g'35 =  0.0000281511
  37. g'36 =  0.0000020623
  38. g'37 = -0.0000017509