MexicanHatWavelet
represents the Mexican hat wavelet of width 1.
represents the Mexican hat wavelet of width σ.
Details
- MexicanHatWavelet defines a family of non-orthogonal wavelets.
- The wavelet function (
) is given by 
. - MexicanHatWavelet can be used with such functions as ContinuousWaveletTransform and WaveletPsi, etc.
Examples
open all close allScope (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:
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:
Text
Wolfram Research (2010), MexicanHatWavelet, Wolfram Language function, https://reference.wolfram.com/language/ref/MexicanHatWavelet.html.
CMS
Wolfram Language. 2010. "MexicanHatWavelet." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/MexicanHatWavelet.html.
APA
Wolfram Language. (2010). MexicanHatWavelet. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/MexicanHatWavelet.html