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Wavelet Symlets 20 (sym20)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 20 Scaling function

    Scaling function φ

  • Symlets 20 Wavelet function

    Wavelet function ψ

Coefficients

Show valuesHide values
Decomposition low-pass filter (copy↓)
Symlets 20 Decomposition low-pass filter
  1. h0 =  0.0000003696
  2. h1 = -0.0000001902
  3. h2 = -0.0000079194
  4. h3 =  0.0000030257
  5. h4 =  0.0000799297
  6. h5 = -0.0000192841
  7. h6 = -0.0004947311
  8. h7 =  0.0000721599
  9. h8 =  0.0020889947
  10. h9 = -0.0003052628
  11. h10 = -0.0066065858
  12. h11 =  0.0014230874
  13. h12 =  0.0170040490
  14. h13 = -0.0033138574
  15. h14 = -0.0316294371
  16. h15 =  0.0081232284
  17. h16 =  0.0255793495
  18. h17 = -0.0789943449
  19. h18 = -0.0298193689
  20. h19 =  0.4058314443
  21. h20 =  0.7511627284
  22. h21 =  0.4719914751
  23. h22 = -0.0510883429
  24. h23 = -0.1605782984
  25. h24 =  0.0362509517
  26. h25 =  0.0889196680
  27. h26 = -0.0068437020
  28. h27 = -0.0353733368
  29. h28 =  0.0019385971
  30. h29 =  0.0121570409
  31. h30 = -0.0006111264
  32. h31 = -0.0034716478
  33. h32 =  0.0001254409
  34. h33 =  0.0007476109
  35. h34 = -0.0000266156
  36. h35 = -0.0001173913
  37. h36 =  0.0000045254
  38. h37 =  0.0000122873
  39. h38 = -0.0000003257
  40. h39 = -0.0000006329
Reconstruction low-pass filter (copy↓)
Symlets 20 Reconstruction low-pass filter
  1. h'0 = -0.0000006329
  2. h'1 = -0.0000003257
  3. h'2 =  0.0000122873
  4. h'3 =  0.0000045254
  5. h'4 = -0.0001173913
  6. h'5 = -0.0000266156
  7. h'6 =  0.0007476109
  8. h'7 =  0.0001254409
  9. h'8 = -0.0034716478
  10. h'9 = -0.0006111264
  11. h'10 =  0.0121570409
  12. h'11 =  0.0019385971
  13. h'12 = -0.0353733368
  14. h'13 = -0.0068437020
  15. h'14 =  0.0889196680
  16. h'15 =  0.0362509517
  17. h'16 = -0.1605782984
  18. h'17 = -0.0510883429
  19. h'18 =  0.4719914751
  20. h'19 =  0.7511627284
  21. h'20 =  0.4058314443
  22. h'21 = -0.0298193689
  23. h'22 = -0.0789943449
  24. h'23 =  0.0255793495
  25. h'24 =  0.0081232284
  26. h'25 = -0.0316294371
  27. h'26 = -0.0033138574
  28. h'27 =  0.0170040490
  29. h'28 =  0.0014230874
  30. h'29 = -0.0066065858
  31. h'30 = -0.0003052628
  32. h'31 =  0.0020889947
  33. h'32 =  0.0000721599
  34. h'33 = -0.0004947311
  35. h'34 = -0.0000192841
  36. h'35 =  0.0000799297
  37. h'36 =  0.0000030257
  38. h'37 = -0.0000079194
  39. h'38 = -0.0000001902
  40. h'39 =  0.0000003696
Decomposition high-pass filter (copy↓)
Symlets 20 Decomposition high-pass filter
  1. g0 =  0.0000006329
  2. g1 = -0.0000003257
  3. g2 = -0.0000122873
  4. g3 =  0.0000045254
  5. g4 =  0.0001173913
  6. g5 = -0.0000266156
  7. g6 = -0.0007476109
  8. g7 =  0.0001254409
  9. g8 =  0.0034716478
  10. g9 = -0.0006111264
  11. g10 = -0.0121570409
  12. g11 =  0.0019385971
  13. g12 =  0.0353733368
  14. g13 = -0.0068437020
  15. g14 = -0.0889196680
  16. g15 =  0.0362509517
  17. g16 =  0.1605782984
  18. g17 = -0.0510883429
  19. g18 = -0.4719914751
  20. g19 =  0.7511627284
  21. g20 = -0.4058314443
  22. g21 = -0.0298193689
  23. g22 =  0.0789943449
  24. g23 =  0.0255793495
  25. g24 = -0.0081232284
  26. g25 = -0.0316294371
  27. g26 =  0.0033138574
  28. g27 =  0.0170040490
  29. g28 = -0.0014230874
  30. g29 = -0.0066065858
  31. g30 =  0.0003052628
  32. g31 =  0.0020889947
  33. g32 = -0.0000721599
  34. g33 = -0.0004947311
  35. g34 =  0.0000192841
  36. g35 =  0.0000799297
  37. g36 = -0.0000030257
  38. g37 = -0.0000079194
  39. g38 =  0.0000001902
  40. g39 =  0.0000003696
Reconstruction high-pass filter (copy↓)
Symlets 20 Reconstruction high-pass filter
  1. g'0 =  0.0000003696
  2. g'1 =  0.0000001902
  3. g'2 = -0.0000079194
  4. g'3 = -0.0000030257
  5. g'4 =  0.0000799297
  6. g'5 =  0.0000192841
  7. g'6 = -0.0004947311
  8. g'7 = -0.0000721599
  9. g'8 =  0.0020889947
  10. g'9 =  0.0003052628
  11. g'10 = -0.0066065858
  12. g'11 = -0.0014230874
  13. g'12 =  0.0170040490
  14. g'13 =  0.0033138574
  15. g'14 = -0.0316294371
  16. g'15 = -0.0081232284
  17. g'16 =  0.0255793495
  18. g'17 =  0.0789943449
  19. g'18 = -0.0298193689
  20. g'19 = -0.4058314443
  21. g'20 =  0.7511627284
  22. g'21 = -0.4719914751
  23. g'22 = -0.0510883429
  24. g'23 =  0.1605782984
  25. g'24 =  0.0362509517
  26. g'25 = -0.0889196680
  27. g'26 = -0.0068437020
  28. g'27 =  0.0353733368
  29. g'28 =  0.0019385971
  30. g'29 = -0.0121570409
  31. g'30 = -0.0006111264
  32. g'31 =  0.0034716478
  33. g'32 =  0.0001254409
  34. g'33 = -0.0007476109
  35. g'34 = -0.0000266156
  36. g'35 =  0.0001173913
  37. g'36 =  0.0000045254
  38. g'37 = -0.0000122873
  39. g'38 = -0.0000003257
  40. g'39 =  0.0000006329