A.V. Lubentsov1, S.Y. Kobzisty2

1,2 Voronezh Institute of the Federal Penitentiary Service of Russia (Voronezh, Russia)
1,2 lubensov@mail.ru

Problem statement. One of the key factors in ensuring the security of information systems is the preservation of the integrity of the transmitted data. This is especially true in emergency situations. However, the signals may be distorted due to the effects of various random factors during the transmission of information.

Goal. The work is aimed at developing a model combining interpolation and approximation of signals in order to restore corrupted data and package signals to increase their security in the context of information security.

The research method. A mathematical model based on the use of fundamental splines that take into account the differential characteristics of information signals is proposed.

Results. The study demonstrates the feasibility of using polynomial and trigonometric splines as a mathematical basis for signal processing. It is proved that the use of such approaches improves the approximation process and makes it possible to effectively repair damaged fragments.

Practical significance. The proposed model showed prospects for use in communication systems, for example, when working with unmanned aerial vehicles in emergency situations. This will help to maintain its stable operation, increase efficiency and expand the functionality of complex technical systems used.

Lubentsov A.V., Kobzisty S.Y. Synthesis of a model for structuring information flow in data transmission networks in complex technical systems in emergency situations. Dynamics of complex systems. 2025. V. 19. № 4. P. 25−33. DOI: 10.18127/j19997493-202504-03 (in Russian).

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