BUILT-IN MATHEMATICA SYMBOL

MeyerWavelet

represents the Meyer wavelet of order 3.

MeyerWavelet[n]
represents the Meyer wavelet of order n evaluated on the equally spaced interval .

MeyerWavelet[n, lim]
represents the Meyer wavelet of order n evaluated on the equally spaced interval .

DetailsDetails

• 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.

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Scaling function:

 Out[1]=
 Out[2]=

Wavelet function:

 Out[1]=
 Out[2]=

Filter coefficients:

 Out[1]=