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Mathematica
8: Wavelet Analysis
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Get Properties for Wavelet Families
Directly get the scaling function (
), wavelet function (
), and filter coefficients for each wavelet family, or use them to specify a wavelet transform.
In[1]:=
X
WaveletPhi[ShannonWavelet[], x]
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In[2]:=
X
WaveletPsi[ShannonWavelet[], x]
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In[3]:=
X
WaveletFilterCoefficients[ShannonWavelet[]]
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In[4]:=
X
dwd = DiscreteWaveletTransform[ Table[ Sin[t^2], {t, -3 \[Pi], 3 \[Pi], (6 \[Pi])/1023}], ShannonWavelet[], 5]
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In[5]:=
X
dwd[All, {"ListPlot", ImageSize -> 160}]
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