TITLE:
Nonstationary Wavelets Related to the Walsh Functions
AUTHORS:
Yuri A. Farkov, Evgeny A. Rodionov
KEYWORDS:
Walsh Functions; Nonstationary Dyadic Wavelets; Fractal Functions; Adapted Multiresolution Analysis
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.2 No.2,
June
21,
2012
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.