Wavelet Daubechies 18 (db18)

Properties

Properties: asymmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

Scaling function φ
Wavelet function ψ

Coefficients

Decomposition low-pass filter (copy↓↑)-2.507934454941929e-09 3.06883586303703e-08 -1.1760987670250871e-07 -7.691632689865049e-08 1.768712983622886e-06 -3.3326344788769603e-06 -8.520602537423464e-06 3.741237880730847e-05 -1.535917123021341e-07 -0.00019864855231101547 0.0002135815619103188 0.0006284656829644715 -0.0013405962983313922 -0.0011187326669886426 0.004943343605456594 0.00011863003387493042 -0.013051480946517112 0.006262167954438661 0.026670705926689853 -0.023733210395336858 -0.04452614190225633 0.05705124773905827 0.0648872162123582 -0.10675224665906288 -0.09233188415030412 0.16708131276294505 0.14953397556500755 -0.21648093400458224 -0.2936540407357981 0.14722311196952223 0.571801654887122 0.5718268077650818 0.31467894133619284 0.10358846582214751 0.01928853172409497 0.0015763102184365595

Daubechies 18 Decomposition low-pass filter

h₀ = -0.0000000025
h₁ = 0.0000000307
h₂ = -0.0000001176
h₃ = -0.0000000769
h₄ = 0.0000017687
h₅ = -0.0000033326
h₆ = -0.0000085206
h₇ = 0.0000374124
h₈ = -0.0000001536
h₉ = -0.0001986486
h₁₀ = 0.0002135816
h₁₁ = 0.0006284657
h₁₂ = -0.0013405963
h₁₃ = -0.0011187327
h₁₄ = 0.0049433436
h₁₅ = 0.0001186300
h₁₆ = -0.0130514809
h₁₇ = 0.0062621680
h₁₈ = 0.0266707059
h₁₉ = -0.0237332104
h₂₀ = -0.0445261419
h₂₁ = 0.0570512477
h₂₂ = 0.0648872162
h₂₃ = -0.1067522467
h₂₄ = -0.0923318842
h₂₅ = 0.1670813128
h₂₆ = 0.1495339756
h₂₇ = -0.2164809340
h₂₈ = -0.2936540407
h₂₉ = 0.1472231120
h₃₀ = 0.5718016549
h₃₁ = 0.5718268078
h₃₂ = 0.3146789413
h₃₃ = 0.1035884658
h₃₄ = 0.0192885317
h₃₅ = 0.0015763102

Reconstruction low-pass filter (copy↓↑)0.0015763102184365595 0.01928853172409497 0.10358846582214751 0.31467894133619284 0.5718268077650818 0.571801654887122 0.14722311196952223 -0.2936540407357981 -0.21648093400458224 0.14953397556500755 0.16708131276294505 -0.09233188415030412 -0.10675224665906288 0.0648872162123582 0.05705124773905827 -0.04452614190225633 -0.023733210395336858 0.026670705926689853 0.006262167954438661 -0.013051480946517112 0.00011863003387493042 0.004943343605456594 -0.0011187326669886426 -0.0013405962983313922 0.0006284656829644715 0.0002135815619103188 -0.00019864855231101547 -1.535917123021341e-07 3.741237880730847e-05 -8.520602537423464e-06 -3.3326344788769603e-06 1.768712983622886e-06 -7.691632689865049e-08 -1.1760987670250871e-07 3.06883586303703e-08 -2.507934454941929e-09

Daubechies 18 Reconstruction low-pass filter

h^'₀ = 0.0015763102
h^'₁ = 0.0192885317
h^'₂ = 0.1035884658
h^'₃ = 0.3146789413
h^'₄ = 0.5718268078
h^'₅ = 0.5718016549
h^'₆ = 0.1472231120
h^'₇ = -0.2936540407
h^'₈ = -0.2164809340
h^'₉ = 0.1495339756
h^'₁₀ = 0.1670813128
h^'₁₁ = -0.0923318842
h^'₁₂ = -0.1067522467
h^'₁₃ = 0.0648872162
h^'₁₄ = 0.0570512477
h^'₁₅ = -0.0445261419
h^'₁₆ = -0.0237332104
h^'₁₇ = 0.0266707059
h^'₁₈ = 0.0062621680
h^'₁₉ = -0.0130514809
h^'₂₀ = 0.0001186300
h^'₂₁ = 0.0049433436
h^'₂₂ = -0.0011187327
h^'₂₃ = -0.0013405963
h^'₂₄ = 0.0006284657
h^'₂₅ = 0.0002135816
h^'₂₆ = -0.0001986486
h^'₂₇ = -0.0000001536
h^'₂₈ = 0.0000374124
h^'₂₉ = -0.0000085206
h^'₃₀ = -0.0000033326
h^'₃₁ = 0.0000017687
h^'₃₂ = -0.0000000769
h^'₃₃ = -0.0000001176
h^'₃₄ = 0.0000000307
h^'₃₅ = -0.0000000025

Decomposition high-pass filter (copy↓↑)-0.0015763102184365595 0.01928853172409497 -0.10358846582214751 0.31467894133619284 -0.5718268077650818 0.571801654887122 -0.14722311196952223 -0.2936540407357981 0.21648093400458224 0.14953397556500755 -0.16708131276294505 -0.09233188415030412 0.10675224665906288 0.0648872162123582 -0.05705124773905827 -0.04452614190225633 0.023733210395336858 0.026670705926689853 -0.006262167954438661 -0.013051480946517112 -0.00011863003387493042 0.004943343605456594 0.0011187326669886426 -0.0013405962983313922 -0.0006284656829644715 0.0002135815619103188 0.00019864855231101547 -1.535917123021341e-07 -3.741237880730847e-05 -8.520602537423464e-06 3.3326344788769603e-06 1.768712983622886e-06 7.691632689865049e-08 -1.1760987670250871e-07 -3.06883586303703e-08 -2.507934454941929e-09

Daubechies 18 Decomposition high-pass filter

g₀ = -0.0015763102
g₁ = 0.0192885317
g₂ = -0.1035884658
g₃ = 0.3146789413
g₄ = -0.5718268078
g₅ = 0.5718016549
g₆ = -0.1472231120
g₇ = -0.2936540407
g₈ = 0.2164809340
g₉ = 0.1495339756
g₁₀ = -0.1670813128
g₁₁ = -0.0923318842
g₁₂ = 0.1067522467
g₁₃ = 0.0648872162
g₁₄ = -0.0570512477
g₁₅ = -0.0445261419
g₁₆ = 0.0237332104
g₁₇ = 0.0266707059
g₁₈ = -0.0062621680
g₁₉ = -0.0130514809
g₂₀ = -0.0001186300
g₂₁ = 0.0049433436
g₂₂ = 0.0011187327
g₂₃ = -0.0013405963
g₂₄ = -0.0006284657
g₂₅ = 0.0002135816
g₂₆ = 0.0001986486
g₂₇ = -0.0000001536
g₂₈ = -0.0000374124
g₂₉ = -0.0000085206
g₃₀ = 0.0000033326
g₃₁ = 0.0000017687
g₃₂ = 0.0000000769
g₃₃ = -0.0000001176
g₃₄ = -0.0000000307
g₃₅ = -0.0000000025

Reconstruction high-pass filter (copy↓↑)-2.507934454941929e-09 -3.06883586303703e-08 -1.1760987670250871e-07 7.691632689865049e-08 1.768712983622886e-06 3.3326344788769603e-06 -8.520602537423464e-06 -3.741237880730847e-05 -1.535917123021341e-07 0.00019864855231101547 0.0002135815619103188 -0.0006284656829644715 -0.0013405962983313922 0.0011187326669886426 0.004943343605456594 -0.00011863003387493042 -0.013051480946517112 -0.006262167954438661 0.026670705926689853 0.023733210395336858 -0.04452614190225633 -0.05705124773905827 0.0648872162123582 0.10675224665906288 -0.09233188415030412 -0.16708131276294505 0.14953397556500755 0.21648093400458224 -0.2936540407357981 -0.14722311196952223 0.571801654887122 -0.5718268077650818 0.31467894133619284 -0.10358846582214751 0.01928853172409497 -0.0015763102184365595

Daubechies 18 Reconstruction high-pass filter

g^'₀ = -0.0000000025
g^'₁ = -0.0000000307
g^'₂ = -0.0000001176
g^'₃ = 0.0000000769
g^'₄ = 0.0000017687
g^'₅ = 0.0000033326
g^'₆ = -0.0000085206
g^'₇ = -0.0000374124
g^'₈ = -0.0000001536
g^'₉ = 0.0001986486
g^'₁₀ = 0.0002135816
g^'₁₁ = -0.0006284657
g^'₁₂ = -0.0013405963
g^'₁₃ = 0.0011187327
g^'₁₄ = 0.0049433436
g^'₁₅ = -0.0001186300
g^'₁₆ = -0.0130514809
g^'₁₇ = -0.0062621680
g^'₁₈ = 0.0266707059
g^'₁₉ = 0.0237332104
g^'₂₀ = -0.0445261419
g^'₂₁ = -0.0570512477
g^'₂₂ = 0.0648872162
g^'₂₃ = 0.1067522467
g^'₂₄ = -0.0923318842
g^'₂₅ = -0.1670813128
g^'₂₆ = 0.1495339756
g^'₂₇ = 0.2164809340
g^'₂₈ = -0.2936540407
g^'₂₉ = -0.1472231120
g^'₃₀ = 0.5718016549
g^'₃₁ = -0.5718268078
g^'₃₂ = 0.3146789413
g^'₃₃ = -0.1035884658
g^'₃₄ = 0.0192885317
g^'₃₅ = -0.0015763102

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Wavelet Daubechies 18 (db18)

Properties

Wavelet and scaling functions

Coefficients

Wavelet families

» Haar

» Daubechies

» Symlets

» Coiflets

» Biorthogonal

» Reverse Biorthogonal

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