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Nonstationary Wavelets Related to the Walsh Functions

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DOI: 10.4236/ajcm.2012.22011    4,579 Downloads   7,462 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Y. Farkov and E. Rodionov, "Nonstationary Wavelets Related to the Walsh Functions," American Journal of Computational Mathematics, Vol. 2 No. 2, 2012, pp. 82-87. doi: 10.4236/ajcm.2012.22011.

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