Modified wavelets and their applications

Wavelets obtained from known orthonormal wavelets modified by the impulse response of a stationary linear system are proposed. It is shown that the new wavelets offer additional possibilities for signal processing in the presence of noise. In particular, these wavelets provide for estimation of line...

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Bibliographic Details
Published in:Journal of communications technology & electronics 2006-11, Vol.51 (11), p.1261-1270
Main Author: Novikov, L. V.
Format: Article
Language:English
Subjects:
Algorithms
Differentiation
Electronics
Filter banks
Impulse response
Linear systems
Noise
Signal processing
Studies
Wavelet
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Summary:Wavelets obtained from known orthonormal wavelets modified by the impulse response of a stationary linear system are proposed. It is shown that the new wavelets offer additional possibilities for signal processing in the presence of noise. In particular, these wavelets provide for estimation of linearly transformed signals and simultaneous suppression of the noise effect. Filter banks that realize fast computational algorithms are synthesized. The wavelet approach is exemplified by solution of deconvolution, decorrelation, and differentiation problems.[PUBLICATION ABSTRACT]
ISSN:1064-2269
1555-6557
DOI:10.1134/S1064226906110076