Editing Continuous wavelet

{{Short description|Functions used by the continuous wavelet transform}}
In [[numerical analysis]], '''continuous [[wavelet]]s''' are functions used by the [[continuous wavelet transform]]. These functions are defined as [[analytical expression]]s, as functions either of time or of frequency.
Most of the continuous wavelets are used for both wavelet decomposition and composition transforms. That is they are the continuous counterpart of [[orthogonal wavelet]]s.<ref>{{Cite book |url=https://books.google.com/books?id=ERlIzB67I9kC&dq=%22Continuous+wavelet%22+-wikipedia&pg=PA48 |title=Abstract Harmonic Analysis of Continuous Wavelet Transforms |date=2005 |publisher=Springer Science & Business Media |isbn=978-3-540-24259-8 |language=en}}</ref><ref>{{Cite book |last=Bhatnagar |first=Nirdosh |url=https://books.google.com/books?id=c2LRDwAAQBAJ&dq=%22Continuous+wavelet%22+-wikipedia&pg=PR4-IA12 |title=Introduction to Wavelet Transforms |date=2020-02-18 |publisher=CRC Press |isbn=978-1-000-76869-5 |language=en}}</ref>

The following continuous wavelets have been invented for various applications:<ref>{{Cite book |last1=Combes |first1=Jean-Michel |url=https://books.google.com/books?id=n3DtCAAAQBAJ&q=%22Continuous+wavelet%22+%22morlet%22 |title=Wavelets: Time-Frequency Methods and Phase Space Proceedings of the International Conference, Marseille, France, December 14–18, 1987 |last2=Grossmann |first2=Alexander |last3=Tchamitchian |first3=Philippe |date=2012-12-06 |publisher=Springer Science & Business Media |isbn=978-3-642-75988-8 |language=en}}</ref>

* [[Poisson wavelet]]
* [[Morlet wavelet]]
* [[Modified Morlet wavelet]]
* [[Mexican hat wavelet]]
* [[Complex Mexican hat wavelet]]
* [[Shannon wavelet]]
* [[Meyer wavelet]]
* [[Difference of Gaussians]]
* [[Hermitian wavelet]]
* [[Beta wavelet]]
* [[Causal wavelet]]
* [[μ wavelet]]s
* [[Cauchy wavelet]]
* [[Addison wavelet]]

==See also==
*[[Wavelet]]

==References==
{{reflist}}

[[Category:Continuous wavelets| ]]
[[Category:Numerical analysis]]