« Coif2 | Coif4 »

Wavelet Coiflets 3 (coif3)

Properties

Family: Coiflets (coif)

Properties: near symmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

  • Coiflets 3 Scaling function

    Scaling function φ

  • Coiflets 3 Wavelet function

    Wavelet function ψ

Coefficients

Show valuesHide values
Decomposition low-pass filter (copy↓)
Coiflets 3 Decomposition low-pass filter
  1. h0 = -0.0000345998
  2. h1 = -0.0000709833
  3. h2 =  0.0004662170
  4. h3 =  0.0011175188
  5. h4 = -0.0025745177
  6. h5 = -0.0090079761
  7. h6 =  0.0158805449
  8. h7 =  0.0345550276
  9. h8 = -0.0823019271
  10. h9 = -0.0717998216
  11. h10 =  0.4284834764
  12. h11 =  0.7937772226
  13. h12 =  0.4051769024
  14. h13 = -0.0611233900
  15. h14 = -0.0657719113
  16. h15 =  0.0234526961
  17. h16 =  0.0077825964
  18. h17 = -0.0037935129
Reconstruction low-pass filter (copy↓)
Coiflets 3 Reconstruction low-pass filter
  1. h'0 = -0.0037935129
  2. h'1 =  0.0077825964
  3. h'2 =  0.0234526961
  4. h'3 = -0.0657719113
  5. h'4 = -0.0611233900
  6. h'5 =  0.4051769024
  7. h'6 =  0.7937772226
  8. h'7 =  0.4284834764
  9. h'8 = -0.0717998216
  10. h'9 = -0.0823019271
  11. h'10 =  0.0345550276
  12. h'11 =  0.0158805449
  13. h'12 = -0.0090079761
  14. h'13 = -0.0025745177
  15. h'14 =  0.0011175188
  16. h'15 =  0.0004662170
  17. h'16 = -0.0000709833
  18. h'17 = -0.0000345998
Decomposition high-pass filter (copy↓)
Coiflets 3 Decomposition high-pass filter
  1. g0 =  0.0037935129
  2. g1 =  0.0077825964
  3. g2 = -0.0234526961
  4. g3 = -0.0657719113
  5. g4 =  0.0611233900
  6. g5 =  0.4051769024
  7. g6 = -0.7937772226
  8. g7 =  0.4284834764
  9. g8 =  0.0717998216
  10. g9 = -0.0823019271
  11. g10 = -0.0345550276
  12. g11 =  0.0158805449
  13. g12 =  0.0090079761
  14. g13 = -0.0025745177
  15. g14 = -0.0011175188
  16. g15 =  0.0004662170
  17. g16 =  0.0000709833
  18. g17 = -0.0000345998
Reconstruction high-pass filter (copy↓)
Coiflets 3 Reconstruction high-pass filter
  1. g'0 = -0.0000345998
  2. g'1 =  0.0000709833
  3. g'2 =  0.0004662170
  4. g'3 = -0.0011175188
  5. g'4 = -0.0025745177
  6. g'5 =  0.0090079761
  7. g'6 =  0.0158805449
  8. g'7 = -0.0345550276
  9. g'8 = -0.0823019271
  10. g'9 =  0.0717998216
  11. g'10 =  0.4284834764
  12. g'11 = -0.7937772226
  13. g'12 =  0.4051769024
  14. g'13 =  0.0611233900
  15. g'14 = -0.0657719113
  16. g'15 = -0.0234526961
  17. g'16 =  0.0077825964
  18. g'17 =  0.0037935129