PaulWavelet

PaulWavelet[]

represents a Paul wavelet of order 4.

PaulWavelet[n]

represents a Paul wavelet of order n.

Details

Examples

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Basic Examples  (2)

Wavelet function:

Scope  (3)

Compute a wavelet function:

Wavelet function as a function of order n:

PaulWavelet is used to perform ContinuousWaveletTransform:

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

Use InverseWaveletTransform to reconstruct the signal:

Properties & Relations  (3)

Wavelet function integrates to zero; :

Wavelet function and its Fourier transform:

PaulWavelet does not have a scaling function:

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

Text

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

BibTeX

@misc{reference.wolfram_2021_paulwavelet, author="Wolfram Research", title="{PaulWavelet}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/PaulWavelet.html}", note=[Accessed: 01-December-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_paulwavelet, organization={Wolfram Research}, title={PaulWavelet}, year={2010}, url={https://reference.wolfram.com/language/ref/PaulWavelet.html}, note=[Accessed: 01-December-2021 ]}

CMS

Wolfram Language. 2010. "PaulWavelet." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PaulWavelet.html.

APA

Wolfram Language. (2010). PaulWavelet. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PaulWavelet.html