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DISCRETE WAVELET TRANSFORMS IN WALSH ANALYSIS

A review of discrete wavelet transforms defined through Walsh functions and used for image processing, compression of fractal signals, analysis of financial time series, and analysis of geophysical data is presented. Relationships of the discrete transforms considered with wavelet bases recently constructed and frames on the Cantor and Vilenkin groups are noted.

A review of discrete wavelet transforms defined through Walsh functions and used for image processing, compression of fractal signals, analysis of financial time series, and analysis of geophysical data is presented. Relationships of the discrete transforms considered with wavelet bases recently constructed and frames on the Cantor and Vilenkin groups are noted.

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