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JOURNALS // Journal of Computational and Engineering Mathematics // Archive

J. Comp. Eng. Math., 2017 Volume 4, Issue 4, Pages 29–37 (Mi jcem103)

Computational Mathematics

Nonlinear signal reconstruction based on the decomposition into chaotic components

A. S. Sheludko

South Ural State University, Chelyabinsk, Russian Federation

Abstract: The paper proposes a signal reconstruction technique based on the decomposition into chaotic components. The considered approach can be usefully associated with the filtering, forecasting and control algorithms when only a small number of data samples is available. The developed decomposition algorithm involves sequential component extraction and recursive computation of the cost function. Some related questions are also discussed: choice of the class of chaotic maps, computational complexity of parameter estimation.

Keywords: signal reconstruction, chaotic map, parameter estimation, multiextremal cost function.

UDC: 519.7

MSC: 93E12, 94A12

Received: 23.10.2017

Language: English

DOI: 10.14529/jcem170403



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