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Wavelet Symlets 13 (sym13)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 13 Scaling function

    Scaling function φ

  • Symlets 13 Wavelet function

    Wavelet function ψ

Coefficients

Show valuesHide values
Decomposition low-pass filter (copy↓)
Symlets 13 Decomposition low-pass filter
  1. h0 =  0.0000682033
  2. h1 = -0.0000357386
  3. h2 = -0.0011360634
  4. h3 = -0.0001709429
  5. h4 =  0.0075262254
  6. h5 =  0.0052963597
  7. h6 = -0.0202167681
  8. h7 = -0.0172116427
  9. h8 =  0.0138624974
  10. h9 = -0.0597506277
  11. h10 = -0.1243624608
  12. h11 =  0.1977048188
  13. h12 =  0.6957391506
  14. h13 =  0.6445643839
  15. h14 =  0.1102302230
  16. h15 = -0.1404900931
  17. h16 =  0.0088197577
  18. h17 =  0.0929260309
  19. h18 =  0.0176182969
  20. h19 = -0.0207496863
  21. h20 = -0.0014924473
  22. h21 =  0.0056748538
  23. h22 =  0.0004132612
  24. h23 = -0.0007213644
  25. h24 =  0.0000369054
  26. h25 =  0.0000704299
Reconstruction low-pass filter (copy↓)
Symlets 13 Reconstruction low-pass filter
  1. h'0 =  0.0000704299
  2. h'1 =  0.0000369054
  3. h'2 = -0.0007213644
  4. h'3 =  0.0004132612
  5. h'4 =  0.0056748538
  6. h'5 = -0.0014924473
  7. h'6 = -0.0207496863
  8. h'7 =  0.0176182969
  9. h'8 =  0.0929260309
  10. h'9 =  0.0088197577
  11. h'10 = -0.1404900931
  12. h'11 =  0.1102302230
  13. h'12 =  0.6445643839
  14. h'13 =  0.6957391506
  15. h'14 =  0.1977048188
  16. h'15 = -0.1243624608
  17. h'16 = -0.0597506277
  18. h'17 =  0.0138624974
  19. h'18 = -0.0172116427
  20. h'19 = -0.0202167681
  21. h'20 =  0.0052963597
  22. h'21 =  0.0075262254
  23. h'22 = -0.0001709429
  24. h'23 = -0.0011360634
  25. h'24 = -0.0000357386
  26. h'25 =  0.0000682033
Decomposition high-pass filter (copy↓)
Symlets 13 Decomposition high-pass filter
  1. g0 = -0.0000704299
  2. g1 =  0.0000369054
  3. g2 =  0.0007213644
  4. g3 =  0.0004132612
  5. g4 = -0.0056748538
  6. g5 = -0.0014924473
  7. g6 =  0.0207496863
  8. g7 =  0.0176182969
  9. g8 = -0.0929260309
  10. g9 =  0.0088197577
  11. g10 =  0.1404900931
  12. g11 =  0.1102302230
  13. g12 = -0.6445643839
  14. g13 =  0.6957391506
  15. g14 = -0.1977048188
  16. g15 = -0.1243624608
  17. g16 =  0.0597506277
  18. g17 =  0.0138624974
  19. g18 =  0.0172116427
  20. g19 = -0.0202167681
  21. g20 = -0.0052963597
  22. g21 =  0.0075262254
  23. g22 =  0.0001709429
  24. g23 = -0.0011360634
  25. g24 =  0.0000357386
  26. g25 =  0.0000682033
Reconstruction high-pass filter (copy↓)
Symlets 13 Reconstruction high-pass filter
  1. g'0 =  0.0000682033
  2. g'1 =  0.0000357386
  3. g'2 = -0.0011360634
  4. g'3 =  0.0001709429
  5. g'4 =  0.0075262254
  6. g'5 = -0.0052963597
  7. g'6 = -0.0202167681
  8. g'7 =  0.0172116427
  9. g'8 =  0.0138624974
  10. g'9 =  0.0597506277
  11. g'10 = -0.1243624608
  12. g'11 = -0.1977048188
  13. g'12 =  0.6957391506
  14. g'13 = -0.6445643839
  15. g'14 =  0.1102302230
  16. g'15 =  0.1404900931
  17. g'16 =  0.0088197577
  18. g'17 = -0.0929260309
  19. g'18 =  0.0176182969
  20. g'19 =  0.0207496863
  21. g'20 = -0.0014924473
  22. g'21 = -0.0056748538
  23. g'22 =  0.0004132612
  24. g'23 =  0.0007213644
  25. g'24 =  0.0000369054
  26. g'25 = -0.0000704299