Construction of some types wavelets with coefficient of scaling N

Details Construction of some types wavelets with coefficient of scaling N Construction of some types wavelets with coefficient of scaling N

2006-12-20

arxiv.org/abs/math/0612573v2

Mathematics

Functional Analysis

LaTeX2e, 19 pages

Scientific paper

In this paper it is shown, that B-splines are scaling functions for any
natural N. For any natural N construction of Haar wavelets, Kotelnikov-Shannon
wavelets, nonorthogonal wavelets based on B-splines is given. Examples of
construction of filters of N-channel decomposition of signal and filters of
reconstruction based on B-splines are given

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