represents a Morlet wavelet.


MorletWavelet
represents a Morlet wavelet.
Details

- MorletWavelet defines a family of non-orthogonal wavelets.
- The wavelet function (
) is given by
.
- MorletWavelet can be used with such functions as ContinuousWaveletTransform, WaveletPsi, etc.
Examples
open all close allScope (1)
MorletWavelet 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)
MorletWavelet is similar to GaborWavelet with a certain frequency:
Wavelet function and its Fourier transform:
MorletWavelet does not have a scaling function:
See Also
Related Guides
History
Text
Wolfram Research (2010), MorletWavelet, Wolfram Language function, https://reference.wolfram.com/language/ref/MorletWavelet.html.
CMS
Wolfram Language. 2010. "MorletWavelet." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/MorletWavelet.html.
APA
Wolfram Language. (2010). MorletWavelet. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/MorletWavelet.html
BibTeX
@misc{reference.wolfram_2025_morletwavelet, author="Wolfram Research", title="{MorletWavelet}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/MorletWavelet.html}", note=[Accessed: 05-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_morletwavelet, organization={Wolfram Research}, title={MorletWavelet}, year={2010}, url={https://reference.wolfram.com/language/ref/MorletWavelet.html}, note=[Accessed: 05-August-2025]}