In accordance with the general ideas about the relevance, methods and means of protecting important protected objects, as well as the principles of constructing single and multi-position radar systems (radar), the features of radar perimeter protection are considered, with the presentation of it as a large hierarchical system of interconnected, united by a common purpose of functioning controlled subsystems. The measured radar parameters, advantages and disadvantages of security radars, as well as the advantages of multi-position radars over single-position ones are noted. The elements of a mathematical model of a multi-position radar are presented, for which: decomposition of technical protection as a large system; the features of the matrix-vector description of the parameters of the generated and received radar signals of a multi-position radar are considered; analyzed the topology of the security radar as a single object with the protected space; the concept of abstract protected elements is introduced and their relationship with the measure of the protected space in the general case of dimensions longer than three is determined. On the basis of the analysis, the requirements for the structure and placement of the security radar are formulated, which are interdependent on the dimension of the protected area, the topology of the security perimeter, the composition, structure, tactical and technical features of the security radar and tactical, technical, operational, environmental and economic quality indicators. The features of the formation of the structure and placement of single- and multi-position security radars under various initial conditions and requirements, as well as approaches to calculating the coordinates of the placement of their elements on the ground are shown.
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