# Mathematical model of multichannel discrete-continuous communication channel in conditions of influence of fluctuation noise and intentional interference

## Authors

• Vladyslav Hol Institute of special communication and information protection of National technical university of Ukraine “Igor Sikorsky Kyiv polytechnic institute”, Kyiv,
• Oleksandr Ovcharov Institute of special communication and information protection of National technical university of Ukraine “Igor Sikorsky Kyiv polytechnic institute”, Kyiv,

## Keywords:

discrete-continuous channel, programmable radio station, turbo code, fluctuation noise, intentional quarrel, noise immunity, modulation, MIMO

## Abstract

A mathematical model based on the synthesis of M-position signals, a method for restoring signal vectors, and intentional interference with quadrature components is presented. The developed model is a formalized description of the discrete-continuous communication channel system. They describe the communication channel and operations for processing, transmission, and protection. The input, output, and internal parameters of the multichannel radio system and the distribution environment are connected. The quadrature method of a mixture of signal, noise, interference at the input of the turbo code decoder is presented. These components are presented in the form of difference equations, which reflect the functional, logical, and structural relationships of the set of communication channels elements and take into account the peculiarities of the signals. This simplifies the technical implementation of the model by using a low-frequency signal instead of high-frequency and more adequately reproduce the properties of the studied system. Noise obstruction, noise interference in the part of the lane, and interference in response are considered. A simulation model with turbo codes has been developed to assess the noise immunity of a programmable radio station using the proposed model of a multi-channel discrete-continuous communication channel. It is used to calculate the average probability of a bit error at the reception without and using a correction code for a discrete communication channel. This confirms the efficiency of using a discrete-continuous channel compared to a discrete-discrete communication channel. The analysis of noise protection of programmed radio stations with the use of the proposed model of multichannel discrete-continuous channel and modulation of FM-2, FM-4, FM-8, KAM-16 is carried out. The obtained graphical dependences with theoretical calculations are compared. As a result, the applicability of the proposed model for the design of transmission channels of programmable radios with turbo codes and MIMO technology in the conditions of intentional interference.

## Author Biographies

### Vladyslav Hol, Institute of special communication and information protection of National technical university of Ukraine “Igor Sikorsky Kyiv polytechnic institute”, Kyiv,

candidate of technical sciences,
associate professor, associate
professor at the special
telecommunication systems

### Oleksandr Ovcharov, Institute of special communication and information protection of National technical university of Ukraine “Igor Sikorsky Kyiv polytechnic institute”, Kyiv,

deputy head at the management
and tactical and special training

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2020-07-09

## How to Cite

Hol, V., & Ovcharov, O. (2020). Mathematical model of multichannel discrete-continuous communication channel in conditions of influence of fluctuation noise and intentional interference. Information Technology and Security, 8(1), 67–81. https://doi.org/10.20535/2411-1031.2020.8.1.218007

## Section

MATHEMATICAL AND COMPUTER MODELING