Wavelet_transform Wavelet_transform

Wavelet transform - Definition and Overview

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The wavelet transform is a transformation to basis functions that are localized in frequency (similar in that sense to Fourier-related transforms). 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)).

In the likeness of the uncertainty principle the restriction for wavelet transform resolution can be written down:

<math> \Delta x\Delta\omega \ge \frac{1}{4\pi}<math>

and this result better in <math> 8\pi<math> times as compared to the Fourier transform Important applications are:

Types of wavelet transforms:

History

External links

Example Usage of transform

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