Compactly Supported One-cyclic Wavelets Derived from Beta Distributions

Authors :: de Oliveira, H. M.
de Araujo, G. A. A.
Source :: Journal of Communication and Information Systems ISSN 1980-6604 pp.105-111
Publication Year :: 2015
Abstract: 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 and scale functions as well as their spectra are derived. Their importance is due to the Central Limit Theorem applied for compactly supported signals.<br />Comment: 7 pages, 4 figures. Journal of Communication and Information Systems, former Journal of the Brazilian Telecommunications Society, ISSN 1980-6604 pp.105-111

Subjects :: Mathematics - Classical Analysis and ODEs
Statistics - Methodology

Database :: arXiv
Journal :: Journal of Communication and Information Systems ISSN 1980-6604 pp.105-111
Publication Type :: Report
Accession number :: edsarx.1502.02166
Document Type :: Working Paper
Full Text :: https://doi.org/10.14209/jcis.2005.17