Wavelet Daubechies 16 (db16)

Properties

Properties: asymmetric, orthogonal, biorthogonal.

Wavelet and scaling functions

Scaling function φ
Wavelet function ψ

Coefficients

Decomposition low-pass filter (copy↓↑)-2.1093396300980412e-08 2.3087840868545578e-07 -7.363656785441815e-07 -1.0435713423102517e-06 1.133660866126152e-05 -1.394566898819319e-05 -6.103596621404321e-05 0.00017478724522506327 0.00011424152003843815 -0.0009410217493585433 0.00040789698084934395 0.00312802338120381 -0.0036442796214883506 -0.006990014563390751 0.013993768859843242 0.010297659641009963 -0.036888397691556774 -0.007588974368642594 0.07592423604445779 -0.006239722752156254 -0.13238830556335474 0.027340263752899923 0.21119069394696974 -0.02791820813292813 -0.3270633105274758 -0.08975108940236352 0.44029025688580486 0.6373563320829833 0.43031272284545874 0.1650642834886438 0.03490771432362905 0.0031892209253436892

Daubechies 16 Decomposition low-pass filter

h₀ = -0.0000000211
h₁ = 0.0000002309
h₂ = -0.0000007364
h₃ = -0.0000010436
h₄ = 0.0000113366
h₅ = -0.0000139457
h₆ = -0.0000610360
h₇ = 0.0001747872
h₈ = 0.0001142415
h₉ = -0.0009410217
h₁₀ = 0.0004078970
h₁₁ = 0.0031280234
h₁₂ = -0.0036442796
h₁₃ = -0.0069900146
h₁₄ = 0.0139937689
h₁₅ = 0.0102976596
h₁₆ = -0.0368883977
h₁₇ = -0.0075889744
h₁₈ = 0.0759242360
h₁₉ = -0.0062397228
h₂₀ = -0.1323883056
h₂₁ = 0.0273402638
h₂₂ = 0.2111906939
h₂₃ = -0.0279182081
h₂₄ = -0.3270633105
h₂₅ = -0.0897510894
h₂₆ = 0.4402902569
h₂₇ = 0.6373563321
h₂₈ = 0.4303127228
h₂₉ = 0.1650642835
h₃₀ = 0.0349077143
h₃₁ = 0.0031892209

Reconstruction low-pass filter (copy↓↑)0.0031892209253436892 0.03490771432362905 0.1650642834886438 0.43031272284545874 0.6373563320829833 0.44029025688580486 -0.08975108940236352 -0.3270633105274758 -0.02791820813292813 0.21119069394696974 0.027340263752899923 -0.13238830556335474 -0.006239722752156254 0.07592423604445779 -0.007588974368642594 -0.036888397691556774 0.010297659641009963 0.013993768859843242 -0.006990014563390751 -0.0036442796214883506 0.00312802338120381 0.00040789698084934395 -0.0009410217493585433 0.00011424152003843815 0.00017478724522506327 -6.103596621404321e-05 -1.394566898819319e-05 1.133660866126152e-05 -1.0435713423102517e-06 -7.363656785441815e-07 2.3087840868545578e-07 -2.1093396300980412e-08

Daubechies 16 Reconstruction low-pass filter

h^'₀ = 0.0031892209
h^'₁ = 0.0349077143
h^'₂ = 0.1650642835
h^'₃ = 0.4303127228
h^'₄ = 0.6373563321
h^'₅ = 0.4402902569
h^'₆ = -0.0897510894
h^'₇ = -0.3270633105
h^'₈ = -0.0279182081
h^'₉ = 0.2111906939
h^'₁₀ = 0.0273402638
h^'₁₁ = -0.1323883056
h^'₁₂ = -0.0062397228
h^'₁₃ = 0.0759242360
h^'₁₄ = -0.0075889744
h^'₁₅ = -0.0368883977
h^'₁₆ = 0.0102976596
h^'₁₇ = 0.0139937689
h^'₁₈ = -0.0069900146
h^'₁₉ = -0.0036442796
h^'₂₀ = 0.0031280234
h^'₂₁ = 0.0004078970
h^'₂₂ = -0.0009410217
h^'₂₃ = 0.0001142415
h^'₂₄ = 0.0001747872
h^'₂₅ = -0.0000610360
h^'₂₆ = -0.0000139457
h^'₂₇ = 0.0000113366
h^'₂₈ = -0.0000010436
h^'₂₉ = -0.0000007364
h^'₃₀ = 0.0000002309
h^'₃₁ = -0.0000000211

Decomposition high-pass filter (copy↓↑)-0.0031892209253436892 0.03490771432362905 -0.1650642834886438 0.43031272284545874 -0.6373563320829833 0.44029025688580486 0.08975108940236352 -0.3270633105274758 0.02791820813292813 0.21119069394696974 -0.027340263752899923 -0.13238830556335474 0.006239722752156254 0.07592423604445779 0.007588974368642594 -0.036888397691556774 -0.010297659641009963 0.013993768859843242 0.006990014563390751 -0.0036442796214883506 -0.00312802338120381 0.00040789698084934395 0.0009410217493585433 0.00011424152003843815 -0.00017478724522506327 -6.103596621404321e-05 1.394566898819319e-05 1.133660866126152e-05 1.0435713423102517e-06 -7.363656785441815e-07 -2.3087840868545578e-07 -2.1093396300980412e-08

Daubechies 16 Decomposition high-pass filter

g₀ = -0.0031892209
g₁ = 0.0349077143
g₂ = -0.1650642835
g₃ = 0.4303127228
g₄ = -0.6373563321
g₅ = 0.4402902569
g₆ = 0.0897510894
g₇ = -0.3270633105
g₈ = 0.0279182081
g₉ = 0.2111906939
g₁₀ = -0.0273402638
g₁₁ = -0.1323883056
g₁₂ = 0.0062397228
g₁₃ = 0.0759242360
g₁₄ = 0.0075889744
g₁₅ = -0.0368883977
g₁₆ = -0.0102976596
g₁₇ = 0.0139937689
g₁₈ = 0.0069900146
g₁₉ = -0.0036442796
g₂₀ = -0.0031280234
g₂₁ = 0.0004078970
g₂₂ = 0.0009410217
g₂₃ = 0.0001142415
g₂₄ = -0.0001747872
g₂₅ = -0.0000610360
g₂₆ = 0.0000139457
g₂₇ = 0.0000113366
g₂₈ = 0.0000010436
g₂₉ = -0.0000007364
g₃₀ = -0.0000002309
g₃₁ = -0.0000000211

Reconstruction high-pass filter (copy↓↑)-2.1093396300980412e-08 -2.3087840868545578e-07 -7.363656785441815e-07 1.0435713423102517e-06 1.133660866126152e-05 1.394566898819319e-05 -6.103596621404321e-05 -0.00017478724522506327 0.00011424152003843815 0.0009410217493585433 0.00040789698084934395 -0.00312802338120381 -0.0036442796214883506 0.006990014563390751 0.013993768859843242 -0.010297659641009963 -0.036888397691556774 0.007588974368642594 0.07592423604445779 0.006239722752156254 -0.13238830556335474 -0.027340263752899923 0.21119069394696974 0.02791820813292813 -0.3270633105274758 0.08975108940236352 0.44029025688580486 -0.6373563320829833 0.43031272284545874 -0.1650642834886438 0.03490771432362905 -0.0031892209253436892

Daubechies 16 Reconstruction high-pass filter

g^'₀ = -0.0000000211
g^'₁ = -0.0000002309
g^'₂ = -0.0000007364
g^'₃ = 0.0000010436
g^'₄ = 0.0000113366
g^'₅ = 0.0000139457
g^'₆ = -0.0000610360
g^'₇ = -0.0001747872
g^'₈ = 0.0001142415
g^'₉ = 0.0009410217
g^'₁₀ = 0.0004078970
g^'₁₁ = -0.0031280234
g^'₁₂ = -0.0036442796
g^'₁₃ = 0.0069900146
g^'₁₄ = 0.0139937689
g^'₁₅ = -0.0102976596
g^'₁₆ = -0.0368883977
g^'₁₇ = 0.0075889744
g^'₁₈ = 0.0759242360
g^'₁₉ = 0.0062397228
g^'₂₀ = -0.1323883056
g^'₂₁ = -0.0273402638
g^'₂₂ = 0.2111906939
g^'₂₃ = 0.0279182081
g^'₂₄ = -0.3270633105
g^'₂₅ = 0.0897510894
g^'₂₆ = 0.4402902569
g^'₂₇ = -0.6373563321
g^'₂₈ = 0.4303127228
g^'₂₉ = -0.1650642835
g^'₃₀ = 0.0349077143
g^'₃₁ = -0.0031892209

Wavelet Browser by PyWavelets

Wavelet Daubechies 16 (db16)

Properties

Wavelet and scaling functions

Coefficients

Wavelet families

» Haar

» Daubechies

» Symlets

» Coiflets

» Biorthogonal

» Reverse Biorthogonal

» "Discrete" Meyer