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Nonstationary Wavelets Related to the Walsh Functions

DOI: 10.4236/ajcm.2012.22011, PP. 82-87

Keywords: Walsh Functions, Nonstationary Dyadic Wavelets, Fractal Functions, Adapted Multiresolution Analysis

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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.

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