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Compactly Supported One-cyclic Wavelets Derived from Beta Distributions

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New continuous wavelets of compact support are introduced, which are related to beta distribution. Wavelets can be related to probability distributions using “blur” derivatives. These new wavelets have just one cyclic, so they are termed unicycle wavelets. They can be viewed as a soft variety of Haar wavelets. Their relevance is due to the central limit theory applied for supported compact signals.

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