Tree-structured legendre multi-wavelets

  • Authors:

  • Ekaterina Pogossova;Karen Egiazarian;Atanas Gotchev;Jaakko Astola

  • Affiliations:

  • Tampere University of Technology, Institute of Signal Processing, Tampere, Finland;Tampere University of Technology, Institute of Signal Processing, Tampere, Finland;Tampere University of Technology, Institute of Signal Processing, Tampere, Finland;Tampere University of Technology, Institute of Signal Processing, Tampere, Finland

  • Venue:
  • EUROCAST'05 Proceedings of the 10th international conference on Computer Aided Systems Theory
  • Year:
  • 2005

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Abstract

We address the problem of constructing multi-wavelets, that is, wavelets with more than one scaling and wavelet function. We generalize the algorithm, proposed by Alpert [1] for generating discrete Legendre multi-wavelets to the case of arbitrary, non-dyadic time interval splitting.