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- Title
ON BIORTHOGONAL WAVELETS RELATED TO THE WALSH FUNCTIONS.
- Authors
FARKOV, YU. A.; MAKSIMOV, A. YU.; STROGANOV, S. A.
- Abstract
In this paper, we describe an algorithm for computing biorthogonal compactly supported dyadic wavelets related to the Walsh functions on the positive half-line ℝ+. It is noted that a similar technique can be applied in very general situations, e.g., in the case of Cantor and Vilenkin groups. Using the feedback-based approach, some numerical experiments comparing orthogonal and biorthogonal dyadic wavelets with the Haar, Daubechies, and biorthogonal 9/7 wavelets are prepared.
- Subjects
WAVELETS (Mathematics); WALSH functions; BIORTHOGONAL systems; ALGORITHMS; IMAGE processing; MATHEMATICAL analysis; NUMERICAL analysis; ORTHOGONAL functions
- Publication
International Journal of Wavelets, Multiresolution & Information Processing, 2011, Vol 9, Issue 3, p485
- ISSN
0219-6913
- Publication type
Article
- DOI
10.1142/S0219691311004195