The wavelet transform is a form of a frequency transform. As basis functions one uses wavelets. The big advantage over the Fourier transform is the temporal (or spatial) locality of the base functions (see also short time Fourier transform[?]) and the smaller complexity (O(N) instead of O(N log N) for the fast Fourier transform (where N is the data size).
Types of wavelet transforms:
Important applications are:
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