MATHEMATICAL MODEL FOR SECURE INFORMATION EXCHANGE FOR WIRELESS SECURITY SYSTEMS

Currently, there is a rapid increase in technical equipment and training of persons who commit illegal acts. In this regard, the number of attempts to carry out criminal attacks on objects of high importance has increased dramatically. For perimeter protection of sites of high categories of significance from unlawful attacks using different security system. A great development is a variety of security systems built on the basis of wireless communication lines. At the same time, it is known that wireless security systems themselves are subject to destructive actions aimed at disrupting their performance. Protection against unauthorized access of alarm and service messages in security systems when they are transmitted over a wireless communication channel is an urgent task. One of the main technologies to protect the radio channel of security systems from unauthorized access is the use of noise-like signals. A promising technology for improving the security of information exchange based on noise-like signals is the use of chaotic signals. However, there are very few algorithms for secure information exchange based on chaotic signals for wireless security systems. One of the known algorithms of protected information exchange based on chaotic signals is presented. It is noted that there is no formalized mathematical description of this algorithm of protected information exchange, which allows to understand more clearly the process of its functioning, in the known literature. In this regard, the author, partly on the basis of the well-known literature, for this algorithm of secure information exchange developed a mathematical model, an explanatory block diagram of the developed mathematical model. With the help of a well-known algorithm of secure information exchange and a mathematical model developed on its basis, it is potentially possible to increase the security of transmitted messages from unauthorized access to various wireless security systems. Also, the proposed example on the mathematical description of the algorithm of secure information exchange, due to its simplicity, may be extended to a wider class of algorithms for secure information exchange

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