MexicanHatWavelet

MexicanHatWavelet[]

represents the Mexican hat wavelet of width 1.

MexicanHatWavelet[σ]

represents the Mexican hat wavelet of width σ.

Details

Examples

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Basic Examples  (1)

Wavelet function:

Scope  (2)

MexicanHatWavelet is used to perform a ContinuousWaveletTransform:

Use WaveletScalogram to get a time scale representation of wavelet coefficients:

Use InverseWaveletTransform to reconstruct the signal:

Wavelet function as a function of width σ:

Properties & Relations  (4)

DGaussianWavelet[2] is the same as MexicanHatWavelet:

Wavelet function integrates to zero; :

Wavelet function and its Fourier transform:

MexicanHatWavelet does not have a scaling function:

Introduced in 2010
 (8.0)