Decorrelating scaling functions for wavelet transformations

A method for synthesizing a mask for a scaling equation with allowance for an a priori given correlation function of the noise component is developed. Two biorthogonal basis functions are generated, with a rational mask contained in one of them. Practical algorithms for calculating the mask coeffici...

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Bibliographic Details
Published in:Journal of communications technology & electronics 2006-06, Vol.51 (6), p.663-669
Main Author: Novikov, L. V.
Format: Article
Language:English
Subjects:
Algorithms
Allowances
Approximation
Correlation
Electronics
Masks
Mathematical analysis
Studies
Synthesizers
Transformations
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Summary:A method for synthesizing a mask for a scaling equation with allowance for an a priori given correlation function of the noise component is developed. Two biorthogonal basis functions are generated, with a rational mask contained in one of them. Practical algorithms for calculating the mask coefficients are constructed using the modifications of the known orthogonal scaling functions. The results are confirmed by the examples for two types of correlation functions: an exponential function and its B-spline approximation.[PUBLICATION ABSTRACT]
ISSN:1064-2269
1555-6557
DOI:10.1134/S1064226906060076