Continuous wavelet
{{Short description|Functions used by the continuous wavelet transform}}
In numerical analysis, continuous wavelets are functions used by the continuous wavelet transform. These functions are defined as analytical expressions, 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 wavelets.{{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}}{{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}}
The following continuous wavelets have been invented for various applications:{{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}}