Wavelet Daubechies 7 (db7)

Properties

Family: Daubechies (db)

Properties: asymmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Daubechies 7 Scaling function

    Scaling function φ

  • Daubechies 7 Wavelet function

    Wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy)
Daubechies 7 Decomposition low-pass filter
  1. h0 =  0.0003537138
  2. h1 = -0.0018016407
  3. h2 =  0.0004295780
  4. h3 =  0.0125509986
  5. h4 = -0.0165745416
  6. h5 = -0.0380299369
  7. h6 =  0.0806126092
  8. h7 =  0.0713092193
  9. h8 = -0.2240361850
  10. h9 = -0.1439060039
  11. h10 =  0.4697822874
  12. h11 =  0.7291320908
  13. h12 =  0.3965393195
  14. h13 =  0.0778520541
Reconstruction low-pass filter (copy)
Daubechies 7 Reconstruction low-pass filter
  1. h'0 =  0.0778520541
  2. h'1 =  0.3965393195
  3. h'2 =  0.7291320908
  4. h'3 =  0.4697822874
  5. h'4 = -0.1439060039
  6. h'5 = -0.2240361850
  7. h'6 =  0.0713092193
  8. h'7 =  0.0806126092
  9. h'8 = -0.0380299369
  10. h'9 = -0.0165745416
  11. h'10 =  0.0125509986
  12. h'11 =  0.0004295780
  13. h'12 = -0.0018016407
  14. h'13 =  0.0003537138
Decomposition high-pass filter (copy)
Daubechies 7 Decomposition high-pass filter
  1. g0 = -0.0778520541
  2. g1 =  0.3965393195
  3. g2 = -0.7291320908
  4. g3 =  0.4697822874
  5. g4 =  0.1439060039
  6. g5 = -0.2240361850
  7. g6 = -0.0713092193
  8. g7 =  0.0806126092
  9. g8 =  0.0380299369
  10. g9 = -0.0165745416
  11. g10 = -0.0125509986
  12. g11 =  0.0004295780
  13. g12 =  0.0018016407
  14. g13 =  0.0003537138
Reconstruction high-pass filter (copy)
Daubechies 7 Reconstruction high-pass filter
  1. g'0 =  0.0003537138
  2. g'1 =  0.0018016407
  3. g'2 =  0.0004295780
  4. g'3 = -0.0125509986
  5. g'4 = -0.0165745416
  6. g'5 =  0.0380299369
  7. g'6 =  0.0806126092
  8. g'7 = -0.0713092193
  9. g'8 = -0.2240361850
  10. g'9 =  0.1439060039
  11. g'10 =  0.4697822874
  12. g'11 = -0.7291320908
  13. g'12 =  0.3965393195
  14. g'13 = -0.0778520541