Functions used by the continuous wavelet transform
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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.
The following continuous wavelets have been invented for various applications:
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 wavelets
Cauchy wavelet
Addison wavelet
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