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Wavelet Symlets 10 (sym10)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 10 Scaling function

    Scaling function φ

  • Symlets 10 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Symlets 10 Decomposition low-pass filter
  1. h0 =  0.0007701598
  2. h1 =  0.0000956327
  3. h2 = -0.0086412993
  4. h3 = -0.0014653826
  5. h4 =  0.0459272392
  6. h5 =  0.0116098939
  7. h6 = -0.1594942789
  8. h7 = -0.0708805358
  9. h8 =  0.4716906669
  10. h9 =  0.7695100370
  11. h10 =  0.3838267611
  12. h11 = -0.0355367405
  13. h12 = -0.0319900569
  14. h13 =  0.0499949721
  15. h14 =  0.0057649120
  16. h15 = -0.0203549398
  17. h16 = -0.0008043589
  18. h17 =  0.0045931736
  19. h18 =  0.0000570361
  20. h19 = -0.0004593294
Reconstruction low-pass filter (copy↓)
Symlets 10 Reconstruction low-pass filter
  1. h'0 = -0.0004593294
  2. h'1 =  0.0000570361
  3. h'2 =  0.0045931736
  4. h'3 = -0.0008043589
  5. h'4 = -0.0203549398
  6. h'5 =  0.0057649120
  7. h'6 =  0.0499949721
  8. h'7 = -0.0319900569
  9. h'8 = -0.0355367405
  10. h'9 =  0.3838267611
  11. h'10 =  0.7695100370
  12. h'11 =  0.4716906669
  13. h'12 = -0.0708805358
  14. h'13 = -0.1594942789
  15. h'14 =  0.0116098939
  16. h'15 =  0.0459272392
  17. h'16 = -0.0014653826
  18. h'17 = -0.0086412993
  19. h'18 =  0.0000956327
  20. h'19 =  0.0007701598
Decomposition high-pass filter (copy↓)
Symlets 10 Decomposition high-pass filter
  1. g0 =  0.0004593294
  2. g1 =  0.0000570361
  3. g2 = -0.0045931736
  4. g3 = -0.0008043589
  5. g4 =  0.0203549398
  6. g5 =  0.0057649120
  7. g6 = -0.0499949721
  8. g7 = -0.0319900569
  9. g8 =  0.0355367405
  10. g9 =  0.3838267611
  11. g10 = -0.7695100370
  12. g11 =  0.4716906669
  13. g12 =  0.0708805358
  14. g13 = -0.1594942789
  15. g14 = -0.0116098939
  16. g15 =  0.0459272392
  17. g16 =  0.0014653826
  18. g17 = -0.0086412993
  19. g18 = -0.0000956327
  20. g19 =  0.0007701598
Reconstruction high-pass filter (copy↓)
Symlets 10 Reconstruction high-pass filter
  1. g'0 =  0.0007701598
  2. g'1 = -0.0000956327
  3. g'2 = -0.0086412993
  4. g'3 =  0.0014653826
  5. g'4 =  0.0459272392
  6. g'5 = -0.0116098939
  7. g'6 = -0.1594942789
  8. g'7 =  0.0708805358
  9. g'8 =  0.4716906669
  10. g'9 = -0.7695100370
  11. g'10 =  0.3838267611
  12. g'11 =  0.0355367405
  13. g'12 = -0.0319900569
  14. g'13 = -0.0499949721
  15. g'14 =  0.0057649120
  16. g'15 =  0.0203549398
  17. g'16 = -0.0008043589
  18. g'17 = -0.0045931736
  19. g'18 =  0.0000570361
  20. g'19 =  0.0004593294