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Optimal sub-band methods for analysis and synthesis of finite-duration signals

  • Stochastic Systems, Queueing Systems
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Abstract

The portion of energy of a finite-duration signal hitting the given frequency interval was shown to be suitable as a basis for construction of the optimal methods of their analysis and synthesis. The relations obtained define directly these portions of energy in the signal space and enable one to formulate the variational conditions for their optimal processing. The problems of optimal detection (filtration) of the additive signal components and synthesis of signals featuring the maximal/minimal concentration of energy within the given frequency ranges were formulated and solved.

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Authors and Affiliations

  1. Belgorod State National Research University, Belgorod, Russia

    E. G. Zhilyakov

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  1. E. G. Zhilyakov
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Correspondence to E. G. Zhilyakov.

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Original Russian Text © E.G. Zhilyakov, 2015, published in Avtomatika i Telemekhanika, 2015, No. 4, pp. 51–66.

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Zhilyakov, E.G. Optimal sub-band methods for analysis and synthesis of finite-duration signals. Autom Remote Control 76, 589–602 (2015). https://doi.org/10.1134/S0005117915040049

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  • DOI: https://doi.org/10.1134/S0005117915040049

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