« Sym15 | Sym17 »

Wavelet Symlets 16 (sym16)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 16 Scaling function

    Scaling function φ

  • Symlets 16 Wavelet function

    Wavelet function ψ

Coefficients

Show valuesHide values
Decomposition low-pass filter (copy↓)
Symlets 16 Decomposition low-pass filter
  1. h0 =  0.0000062300
  2. h1 = -0.0000031136
  3. h2 = -0.0001094315
  4. h3 =  0.0000280786
  5. h4 =  0.0008523547
  6. h5 = -0.0001084456
  7. h6 = -0.0038809123
  8. h7 =  0.0007182120
  9. h8 =  0.0126667317
  10. h9 = -0.0031265172
  11. h10 = -0.0310512028
  12. h11 =  0.0048692744
  13. h12 =  0.0323330916
  14. h13 = -0.0669830491
  15. h14 = -0.0345742284
  16. h15 =  0.3971229336
  17. h16 =  0.7565249879
  18. h17 =  0.4753428060
  19. h18 = -0.0540406014
  20. h19 = -0.1595921922
  21. h20 =  0.0307211391
  22. h21 =  0.0780378529
  23. h22 = -0.0035102751
  24. h23 = -0.0249527580
  25. h24 =  0.0013598447
  26. h25 =  0.0069377611
  27. h26 = -0.0002221165
  28. h27 = -0.0013387206
  29. h28 =  0.0000365659
  30. h29 =  0.0001654568
  31. h30 = -0.0000053965
  32. h31 = -0.0000107980
Reconstruction low-pass filter (copy↓)
Symlets 16 Reconstruction low-pass filter
  1. h'0 = -0.0000107980
  2. h'1 = -0.0000053965
  3. h'2 =  0.0001654568
  4. h'3 =  0.0000365659
  5. h'4 = -0.0013387206
  6. h'5 = -0.0002221165
  7. h'6 =  0.0069377611
  8. h'7 =  0.0013598447
  9. h'8 = -0.0249527580
  10. h'9 = -0.0035102751
  11. h'10 =  0.0780378529
  12. h'11 =  0.0307211391
  13. h'12 = -0.1595921922
  14. h'13 = -0.0540406014
  15. h'14 =  0.4753428060
  16. h'15 =  0.7565249879
  17. h'16 =  0.3971229336
  18. h'17 = -0.0345742284
  19. h'18 = -0.0669830491
  20. h'19 =  0.0323330916
  21. h'20 =  0.0048692744
  22. h'21 = -0.0310512028
  23. h'22 = -0.0031265172
  24. h'23 =  0.0126667317
  25. h'24 =  0.0007182120
  26. h'25 = -0.0038809123
  27. h'26 = -0.0001084456
  28. h'27 =  0.0008523547
  29. h'28 =  0.0000280786
  30. h'29 = -0.0001094315
  31. h'30 = -0.0000031136
  32. h'31 =  0.0000062300
Decomposition high-pass filter (copy↓)
Symlets 16 Decomposition high-pass filter
  1. g0 =  0.0000107980
  2. g1 = -0.0000053965
  3. g2 = -0.0001654568
  4. g3 =  0.0000365659
  5. g4 =  0.0013387206
  6. g5 = -0.0002221165
  7. g6 = -0.0069377611
  8. g7 =  0.0013598447
  9. g8 =  0.0249527580
  10. g9 = -0.0035102751
  11. g10 = -0.0780378529
  12. g11 =  0.0307211391
  13. g12 =  0.1595921922
  14. g13 = -0.0540406014
  15. g14 = -0.4753428060
  16. g15 =  0.7565249879
  17. g16 = -0.3971229336
  18. g17 = -0.0345742284
  19. g18 =  0.0669830491
  20. g19 =  0.0323330916
  21. g20 = -0.0048692744
  22. g21 = -0.0310512028
  23. g22 =  0.0031265172
  24. g23 =  0.0126667317
  25. g24 = -0.0007182120
  26. g25 = -0.0038809123
  27. g26 =  0.0001084456
  28. g27 =  0.0008523547
  29. g28 = -0.0000280786
  30. g29 = -0.0001094315
  31. g30 =  0.0000031136
  32. g31 =  0.0000062300
Reconstruction high-pass filter (copy↓)
Symlets 16 Reconstruction high-pass filter
  1. g'0 =  0.0000062300
  2. g'1 =  0.0000031136
  3. g'2 = -0.0001094315
  4. g'3 = -0.0000280786
  5. g'4 =  0.0008523547
  6. g'5 =  0.0001084456
  7. g'6 = -0.0038809123
  8. g'7 = -0.0007182120
  9. g'8 =  0.0126667317
  10. g'9 =  0.0031265172
  11. g'10 = -0.0310512028
  12. g'11 = -0.0048692744
  13. g'12 =  0.0323330916
  14. g'13 =  0.0669830491
  15. g'14 = -0.0345742284
  16. g'15 = -0.3971229336
  17. g'16 =  0.7565249879
  18. g'17 = -0.4753428060
  19. g'18 = -0.0540406014
  20. g'19 =  0.1595921922
  21. g'20 =  0.0307211391
  22. g'21 = -0.0780378529
  23. g'22 = -0.0035102751
  24. g'23 =  0.0249527580
  25. g'24 =  0.0013598447
  26. g'25 = -0.0069377611
  27. g'26 = -0.0002221165
  28. g'27 =  0.0013387206
  29. g'28 =  0.0000365659
  30. g'29 = -0.0001654568
  31. g'30 = -0.0000053965
  32. g'31 =  0.0000107980