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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2023, Volume 16, Issue 1, Pages 116–122
DOI: https://doi.org/10.14529/mmp230110 (Mi vyuru678) 		 
Short Notes

The Green function method in the problem of random signal transformation by a linear dynamic system

V. L. Khatskevich, O. A. Makhinova

Air Force Academy named after N.E. Zhukovsky and Y.U. Gagarin, Voronezh, Russian Federation
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DOI: https://doi.org/10.14529/mmp230110
Abstract: A dynamic system is considered, which is described by a high order linear differential equation with constant coefficients. The Green's function method established the relationship between the numerical characteristics of a random signal at the input and output of a dynamic system, namely between mathematical expectations and between correlation functions. In contrast to the known results, the stationarity of the input and output random signals is not assumed.
Keywords: continuous random processes, mathematical expectations, correlation functions, dynamical systems with random functions.
Received: 18.05.2022
Document Type: Article
UDC: 681.5.015
MSC: 93E99
Language: Russian
Citation: V. L. Khatskevich, O. A. Makhinova, “The Green function method in the problem of random signal transformation by a linear dynamic system”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:1 (2023), 116–122
Citation in format AMSBIB
\Bibitem{KhaMak23}
\by V.~L.~Khatskevich, O.~A.~Makhinova
\paper The Green function method in the problem of random signal transformation by a linear dynamic system
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2023
\vol 16
\issue 1
\pages 116--122
\mathnet{http://mi.mathnet.ru/vyuru678}
\crossref{https://doi.org/10.14529/mmp230110}
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