Wavelets and Mallat's Multiresolution Analysis

Article type: Research Article

Authors: Wojdyłło, Piotr^;

Affiliations: Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw | Centre for Research and Development, Polish Telecom Co., Obrzezna 7, 02-691 Warsaw. e-mail: pwoj@beta.mimuw.edu.pl, pwoj@cbr.tpsa.pl

Note: [] Address for correspondence: Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland

Abstract: We present a simple proof of Mallat's theorem about wavelet and multiresolution analysis. We do not use Fourier transform and the proof is accesible even for younger undergraduate students.

Keywords: wavelets, multiresolution analysis, Mallat's theorem

DOI: 10.3233/FI-1998-34409

Journal: Fundamenta Informaticae, vol. 34, no. 4, pp. 469-474, 1998