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Construction of some types wavelets with coefficient of scaling N

N. K. Smolentsev, P. N. Podkur

math.FAarXiv:math/0612573

Abstract

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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