Wavelets and Mallat's Multiresolution Analysis

  • Authors:
  • Piotr Wojdyłło

  • Affiliations:
  • (Correspd.) Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw and Centre for Research and Development, Polish Telecom Co., Obrzezna 7, 02-691 Warsaw. e-mail: pwoj@beta.mimuw ...

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 1998

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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.