Conference paper

Publication year: 2008

Pages: 346-354

Journal: Journal of Computational and Applied Mathematics

Volume number: 221

Issue number: 2

ISSN: 0377-0427

DOI Link: https://doi.org/10.1016/j.cam.2007.10.026

Conference: International Conference on Recent Progress in Spline and Wavelet Approximation

Publisher: Elsevier

Abstract: 
In this paper we study the structure of prefilters which ensure a certain approximation order of a given multifilter system. We show how all prefilters can be obtained from the generic one and that in general these prefilters are necessarily rational filters, but point out how a judicious choice of parameters can be used to obtain FIR filters for the approximation orders 1, 2, 3. Moreover, we illustrate the results by giving prefilters for the standard examples of multiwavelets. (C) 2007 Elsevier B.V. All rights reserved.

Harvard Citation style: Cotronei, M., Lo Cascio, M. and Sauer, T. (2008) Multifilters and prefilters: Uniqueness and algorithmic aspects, Journal of Computational and Applied Mathematics, 221(2), pp. 346-354. https://doi.org/10.1016/j.cam.2007.10.026

APA Citation style: Cotronei, M., Lo Cascio, M., & Sauer, T. (2008). Multifilters and prefilters: Uniqueness and algorithmic aspects. Journal of Computational and Applied Mathematics. 221(2), 346-354. https://doi.org/10.1016/j.cam.2007.10.026