Compactly Supported One-cyclic Wavelets Derived from Beta Distributions
نویسندگان
چکیده
منابع مشابه
Compactly Supported One-cyclic Wavelets Derived from Beta Distributions
New continuous wavelets of compact support are introduced, which are related to the beta distribution. They can be built from probability distributions using ”blur”derivatives. These new wavelets have just one cycle, so they are termed unicycle wavelets. They can be viewed as a soft variety of Haar wavelets whose shape is fine-tuned by two parameters a and b. Close expressions for beta wavelets...
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A new family of wavelets is introduced, which is associated with Legendre polynomials. These wavelets, termed spherical harmonic or Legendre wavelets, possess compact support. The method for the wavelet construction is derived from the association of ordinary second order differential equations with multiresolution filters. The low-pass filter associated to Legendre multiresolution analysis is ...
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ژورنال
عنوان ژورنال: Journal of Communication and Information Systems
سال: 2005
ISSN: 1980-6604
DOI: 10.14209/jcis.2005.17