Mathematica > Visualization and Graphics > Data Visualization > Wavelet Analysis > ShannonWavelet
Mathematica > Data Manipulation > Numerical Data > Data Transforms and Smoothing > Wavelet Analysis > ShannonWavelet
Mathematica > Data Manipulation > Statistical Data Analysis > Data Transforms and Smoothing > Wavelet Analysis > ShannonWavelet
BUILT-IN MATHEMATICA SYMBOL

ShannonWavelet

ShannonWavelet[]
represents the Shannon wavelet evaluated on the equally spaced interval .

ShannonWavelet[lim]
represents the Shannon wavelet evaluated on the equally spaced interval .

DetailsDetails

  • ShannonWavelet defines a family of orthonormal wavelets.
  • ShannonWavelet[lim] is defined for any positive real lim.
  • The scaling function () and wavelet function () have infinite support. The functions are symmetric.
  • The scaling function () is given by .
  • The wavelet function () is given by .
  • ShannonWavelet can be used with such functions as DiscreteWaveletTransform and WaveletPhi, etc.
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