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A wavelet is a wave-like oscillation with an amplitude that starts out at zero, increases, and then decreases back to zero.

A wavelet can typically be visualized as a "brief oscillation" like one might see recorded by a seismograph or heart monitor. Generally, wavelets are purposefully crafted to have specific properties that make them useful for signal processing. Wavelets can be combined, using a "revert, shift, multiply and sum" technique called convolution, with portions of an unknown signal to extract information from the unknown signal.

Source: Wikipedia.


References

  1. Bultheel A., "Wavelets, with applications in signal and image processing"

  2. S. Allen Broughton, Kurt Bryan, "Discrete Fourier analysis and wavelets: applications to signal and image processing"

  3. Barbara Burke Hubbard, "The World According to Wavelets: The Story of a Mathematical Technique in the Making, Second Edition"

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