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2010 year, number 1

Quasi-Optimal Algorithm of Estimating the Coefficients of Wavelet Expansions during Signal Filtration

Y. E. Voskoboinikov, A. V. Gochakov
Keywords: filtration, wavelet functions, filtration factors
Pages: 34-45


The proposed algorithm calculates its own filtration factor for each coefficient of the wavelet expansion of a noisy signal. The optimal filtration factor depends on the signal-to-noise ratio, which is estimated with a specially constructed iterative procedure. The limit points of this procedure are determined. A computational experiment performed shows that the proposed approach can be effectively used in problems of filtration and compression of noisy signals and images.