Author(s)

Yuri A. Farkov, Evgeny A. Rodionov

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

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.

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

Farkov, Y. and Rodionov, E. (2012) Nonstationary Wavelets Related to the Walsh Functions. American Journal of Computational Mathematics, 2, 82-87. doi: 10.4236/ajcm.2012.22011.