ON BIORTHOGONAL WAVELETS RELATED TO THE WALSH FUNCTIONS

Author:

FARKOV YU. A.1,MAKSIMOV A. YU.1,STROGANOV S. A.1

Affiliation:

1. Higher Mathematical and Mathematical Modelling Department, Russian State Geological Prospecting University, 23, Miklulho-Maklaya St., Moscow 117997, Russia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

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