Journal of Radio Electronics. eISSN 1684-1719. 2026. ¹2

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DOI: https://doi.org/10.30898/1684-1719.2026.2.3

 

 

 

the ADDITIVE NON-GAUSSIAN noise SIMULATION

BASED ON the SYSTEM OF DIFFERENTIAL EQUATIONS

 

V.M. Artyushenko 1, V.I. Volovach 2,3

 

1 Moscow State University of Geodesy and Cartography,

141070, Russia, Moscow, Gorokhovsky lane., 42

 

2 Volga Region State University of Service,

445017, Russia, Togliatti, Gagarin str., 4

 

3 MIREA – Russian Technological University,

119454, Russia, Moscow, Vernadsky Av., 78

 

 

The paper was received December 21, 2025.

 

Abstract. The paper studies and analyzes the problem of simulation modeling of non-Gaussian additive noise based on the use of systems of differential equations. The basic principles of building simulators of non-Gaussian additive noise in radio channels of radio engineering systems and devices, including both frequency-concentrated and time-concentrated (pulse) noise, are considered. Mathematical models of non-Gaussian additive noise, presented in the form of stochastic differential equations, as well as approaches to their practical application in creating physical channel simulators and developing algorithms for optimal signal reception, are considered. Models of this type have a number of significant advantages. Particular attention is paid to models described by non-linear stochastic differential equations.

Key words: simulation, additive non-Gaussian noise, non-linear stochastic differential equation, communication channel, channel simulator, impulse noise, discontinuous Markov process.

Financing: The work was carried out at the expense of the State Assignment ¹FSFZ-2024-0006.

Corresponding author: Volovach Vladimir Ivanovich, volovach.vi@mail.ru

 

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For citation:

Artyushenko V.M., Volovach V.I. The additive non-gaussian noise simulation based on the system of differential equations // Journal of Radio Electronics. – 2026. – ¹. 2. https://doi.org/10.30898/1684-1719.2026.2.3 (In Russian)