ShannonWavelet

ShannonWavelet[]

represents the Shannon wavelet evaluated on the equally spaced interval {-10,10}.

ShannonWavelet[lim]

represents the Shannon wavelet evaluated on the equally spaced interval {-lim,lim}.

Details

  • 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.

Examples

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Basic Examples  (3)

Scaling function:

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Wavelet function:

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Filter coefficients:

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Scope  (7)

Properties & Relations  (8)

Possible Issues  (1)

Neat Examples  (2)

See Also

WaveletPhi  WaveletPsi  WaveletFilterCoefficients  DiscreteWaveletTransform  LiftingWaveletTransform

Tutorials

Introduced in 2010
(8.0)