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JOURNALS // Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie // Archive

Vestnik YuUrGU. Ser. Mat. Model. Progr., 2025 Volume 18, Issue 4, Pages 5–13 (Mi vyuru772)

Mathematical Modeling

Principle of parallelism in information transmission via an unsecured communication channel

P. N. Aleksandrova, V. N. Krizskyb, M. L. Vladovc

a Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences, Moscow, Russian Federation
b Empress II Saint Petersburg Mining University, Saint-Petersburg, Russian Federation
c Lomonosov Moscow State University, Moscow, Russian Federation

Abstract: Transmission of information over an unprotected radio channel can be carried out in two ways: either using a powerful source operating in a short time interval, or using low-power sources operating in a continuous mode. In both the first and second cases, the energy of the transmitted signal can be the same. One of the main problems of information transmission is related to the properties of the medium through which the electromagnetic signal propagates. In this regard, it is necessary to study the transfer function of the medium, which can be determined using noise-like signals. This approach is known in determining the impulse transfer function of various devices, considered as a “black box” model. However, in the case of radio communications, it is necessary to consider the electrodynamic problem of propagation of the electromagnetic field in the atmosphere, on the surface of the earth with complex terrain, in buildings and underground structures, etc. In this case, it is necessary to use Maxwell's equations, including both the dielectric constant and the electrical conductivity of the material medium. The most universal representation of information is considered – in the binary number system.

Keywords: random processes, time domain, signal encoding and decoding, medium transfer function.

UDC: 519.63+550.372

MSC: 68P30

Received: 04.03.2025

DOI: 10.14529/mmp250401



© Steklov Math. Inst. of RAS, 2026