MeyerWavelet

represents the Meyer wavelet of order 3.

MeyerWavelet[n]

represents the Meyer wavelet of order n evaluated on the equally spaced interval {-10,10}.

MeyerWavelet[n,lim]

represents the Meyer wavelet of order n evaluated on the equally spaced interval {-lim,lim}.

Details

• MeyerWavelet defines a family of orthonormal wavelets.
• MeyerWavelet[n] is equivalent to MeyerWavelet[n,8].
• MeyerWavelet[n,lim] is defined for any positive integer n and real limit lim.
• The scaling function () and wavelet function () have infinite support. The functions are symmetric.
• The scaling function () is given by its Fourier transform as .  »
• The wavelet function () is given by its Fourier transform as .
• The polynomial is a polynomial of the form , where is the order of the Meyer wavelet.
• MeyerWavelet 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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