Nonstationary Wavelets Related to the Walsh Functions

Yuri A. Farkov, Evgeny A. Rodionov

Department of Mathematics, Russian State Geological Prospecting University, Moscow, Russia.

DOI: 10.4236/ajcm.2012.22011                

Abstract

Using the Walsh-Fourier transform, we give a construction of compactly supported nonstationary dyadic wavelets on the positive half-line. The masks of these wavelets are the Walsh polynomials defined by finite sets of parameters. Application to compression of fractal functions are also discussed.

Keywords

Walsh Functions; Nonstationary Dyadic Wavelets; Fractal Functions; Adapted Multiresolution Analysis

Conflicts of Interest

The authors declare no conflicts of interest.

References

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