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Wavelet Symlets 11 (sym11)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 11 Scaling function

    Scaling function φ

  • Symlets 11 Wavelet function

    Wavelet function ψ

Coefficients

Show valuesHide values
Decomposition low-pass filter (copy↓)
Symlets 11 Decomposition low-pass filter
  1. h0 =  0.0001717220
  2. h1 = -0.0000387957
  3. h2 = -0.0017343663
  4. h3 =  0.0005883527
  5. h4 =  0.0065124957
  6. h5 = -0.0098579348
  7. h6 = -0.0240808416
  8. h7 =  0.0370374160
  9. h8 =  0.0699767996
  10. h9 = -0.0228326510
  11. h10 =  0.0971983945
  12. h11 =  0.5720229780
  13. h12 =  0.7303435491
  14. h13 =  0.2376899090
  15. h14 = -0.2046547945
  16. h15 = -0.1446023437
  17. h16 =  0.0352667596
  18. h17 =  0.0430001907
  19. h18 = -0.0020034719
  20. h19 = -0.0063896037
  21. h20 =  0.0001105351
  22. h21 =  0.0004892636
Reconstruction low-pass filter (copy↓)
Symlets 11 Reconstruction low-pass filter
  1. h'0 =  0.0004892636
  2. h'1 =  0.0001105351
  3. h'2 = -0.0063896037
  4. h'3 = -0.0020034719
  5. h'4 =  0.0430001907
  6. h'5 =  0.0352667596
  7. h'6 = -0.1446023437
  8. h'7 = -0.2046547945
  9. h'8 =  0.2376899090
  10. h'9 =  0.7303435491
  11. h'10 =  0.5720229780
  12. h'11 =  0.0971983945
  13. h'12 = -0.0228326510
  14. h'13 =  0.0699767996
  15. h'14 =  0.0370374160
  16. h'15 = -0.0240808416
  17. h'16 = -0.0098579348
  18. h'17 =  0.0065124957
  19. h'18 =  0.0005883527
  20. h'19 = -0.0017343663
  21. h'20 = -0.0000387957
  22. h'21 =  0.0001717220
Decomposition high-pass filter (copy↓)
Symlets 11 Decomposition high-pass filter
  1. g0 = -0.0004892636
  2. g1 =  0.0001105351
  3. g2 =  0.0063896037
  4. g3 = -0.0020034719
  5. g4 = -0.0430001907
  6. g5 =  0.0352667596
  7. g6 =  0.1446023437
  8. g7 = -0.2046547945
  9. g8 = -0.2376899090
  10. g9 =  0.7303435491
  11. g10 = -0.5720229780
  12. g11 =  0.0971983945
  13. g12 =  0.0228326510
  14. g13 =  0.0699767996
  15. g14 = -0.0370374160
  16. g15 = -0.0240808416
  17. g16 =  0.0098579348
  18. g17 =  0.0065124957
  19. g18 = -0.0005883527
  20. g19 = -0.0017343663
  21. g20 =  0.0000387957
  22. g21 =  0.0001717220
Reconstruction high-pass filter (copy↓)
Symlets 11 Reconstruction high-pass filter
  1. g'0 =  0.0001717220
  2. g'1 =  0.0000387957
  3. g'2 = -0.0017343663
  4. g'3 = -0.0005883527
  5. g'4 =  0.0065124957
  6. g'5 =  0.0098579348
  7. g'6 = -0.0240808416
  8. g'7 = -0.0370374160
  9. g'8 =  0.0699767996
  10. g'9 =  0.0228326510
  11. g'10 =  0.0971983945
  12. g'11 = -0.5720229780
  13. g'12 =  0.7303435491
  14. g'13 = -0.2376899090
  15. g'14 = -0.2046547945
  16. g'15 =  0.1446023437
  17. g'16 =  0.0352667596
  18. g'17 = -0.0430001907
  19. g'18 = -0.0020034719
  20. g'19 =  0.0063896037
  21. g'20 =  0.0001105351
  22. g'21 = -0.0004892636