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:

Wolfram Research (2010), MexicanHatWavelet, Wolfram Language function, https://reference.wolfram.com/language/ref/MexicanHatWavelet.html.

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

BibTeX

@misc{reference.wolfram_2024_mexicanhatwavelet, author="Wolfram Research", title="{MexicanHatWavelet}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/MexicanHatWavelet.html}", note=[Accessed: 04-November-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_mexicanhatwavelet, organization={Wolfram Research}, title={MexicanHatWavelet}, year={2010}, url={https://reference.wolfram.com/language/ref/MexicanHatWavelet.html}, note=[Accessed: 04-November-2024 ]}