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BUILT-IN MATHEMATICA SYMBOL
WaveletPsi
WaveletPsi[wave, x]
gives the wavelet function 
for the symbolic wavelet wave evaluated at x.
WaveletPsi[wave]
gives the wavelet function as a pure function.
Details and Options
- The wavelet function
satisfies the recursion equation 
, where 
is the scaling function and 
are the high-pass filter coefficients. - A discrete wavelet transform effectively represents a signal
in terms of scaled and translated wavelet functions 
, where 
. - WaveletPsi[wave, x, "Dual"] gives the dual wavelet function
for biorthogonal wavelets such as BiorthogonalSplineWavelet and ReverseBiorthogonalSplineWavelet. - The dual wavelet function satisfies the recursion equation
, where 
are the dual high-pass filter coefficients. - The following options can be used:
-
MaxRecursion 8 number of recursive iterations to use WorkingPrecision MachinePrecision precision to use in internal computations
New in 8
