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PaulWavelet

PaulWavelet
represents a Paul wavelet of order 4.
PaulWavelet[n]
represents a Paul wavelet of order n.
  • PaulWavelet defines a family of complex non-orthogonal wavelets.
  • The wavelet function () is given by .
Wavelet function:
Wavelet function:
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Compute a wavelet function:
Wavelet function as a function of order n:
Use WaveletScalogram to get a time scale representation of wavelet coefficients:
Use InverseWaveletTransform to reconstruct the signal:
Wavelet function integrates to zero; :
Wavelet function and its Fourier transform:
PaulWavelet does not have a scaling function:
New in 8