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Wavelet Symlets 6 (sym6)

Properties

Family: Symlets (sym)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Symlets 6 Scaling function

    Scaling function φ

  • Symlets 6 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Symlets 6 Decomposition low-pass filter
  1. h0 =  0.0154041093
  2. h1 =  0.0034907121
  3. h2 = -0.1179901111
  4. h3 = -0.0483117426
  5. h4 =  0.4910559419
  6. h5 =  0.7876411410
  7. h6 =  0.3379294217
  8. h7 = -0.0726375228
  9. h8 = -0.0210602925
  10. h9 =  0.0447249018
  11. h10 =  0.0017677119
  12. h11 = -0.0078007083
Reconstruction low-pass filter (copy↓)
Symlets 6 Reconstruction low-pass filter
  1. h'0 = -0.0078007083
  2. h'1 =  0.0017677119
  3. h'2 =  0.0447249018
  4. h'3 = -0.0210602925
  5. h'4 = -0.0726375228
  6. h'5 =  0.3379294217
  7. h'6 =  0.7876411410
  8. h'7 =  0.4910559419
  9. h'8 = -0.0483117426
  10. h'9 = -0.1179901111
  11. h'10 =  0.0034907121
  12. h'11 =  0.0154041093
Decomposition high-pass filter (copy↓)
Symlets 6 Decomposition high-pass filter
  1. g0 =  0.0078007083
  2. g1 =  0.0017677119
  3. g2 = -0.0447249018
  4. g3 = -0.0210602925
  5. g4 =  0.0726375228
  6. g5 =  0.3379294217
  7. g6 = -0.7876411410
  8. g7 =  0.4910559419
  9. g8 =  0.0483117426
  10. g9 = -0.1179901111
  11. g10 = -0.0034907121
  12. g11 =  0.0154041093
Reconstruction high-pass filter (copy↓)
Symlets 6 Reconstruction high-pass filter
  1. g'0 =  0.0154041093
  2. g'1 = -0.0034907121
  3. g'2 = -0.1179901111
  4. g'3 =  0.0483117426
  5. g'4 =  0.4910559419
  6. g'5 = -0.7876411410
  7. g'6 =  0.3379294217
  8. g'7 =  0.0726375228
  9. g'8 = -0.0210602925
  10. g'9 = -0.0447249018
  11. g'10 =  0.0017677119
  12. g'11 =  0.0078007083