V.S. Maryuhnenko1, V.M. Orlovsky2

1,2 Military Academy of the Strategic Missile Forces named after Peter the Great (Serpukhov, Russia)

Consideration of the problem of unambiguous determination of the range in a radar system (RLS) with a high pulse repetition rate showed that the solution to this urgent problem is based on the formation of individual differences in the probing pulses in the emitted sequence and on the use of these differences in the processing of echo signals. The solution of the problem in the article is presented on the basis of systematization and generalization of existing methods for solving the problem. Based on the systematization of published methods for solving the problem of unambiguous determination of the range at a high frequency of repetition of probing pulses, purpose of research is to propose a mathematical description of their individual differences. As a result of the analysis of various methods for solving the problem of finding approaches to eliminate the ambiguity of measuring the range in a radar station with a high repetition rate of probing signals, it was concluded that the most productive direction in the synthesis of radar signals and algorithms for their processing is the use of a combined method using for a mathematical description elements of set theory. In the article:

1) it is shown that the considered methods are particular in relation to the most productive – the combined method;

2) it is shown that when implementing the combined method, the key issue is to give the probing pulses individual features in several ways simultaneously;

3) it is shown that the advantages of the combined method are: a) representation of the probing signal in a multidimensional space of parameters; b) the possibility of a generalized mathematical description of probing signals based on set-theoretic representations; c) an organic solution to the problem of ambiguity, regardless of the number of radar targets and their distribution in range; d) high noise immunity of time selectors that implement optimal processing of echo signals from targets that differ in many parameters; e) the possibility of considering low-dimensional ambiguity elimination methods as special cases of multidimensional ones;

4) it is shown that the disadvantages of the implementation of the combined method should be considered: a) cumbersome mathematical description of multidimensional probing signals; b) the need for multi-channel processing of echo signals in fact in real time.

The results of the study are of theoretical significance as a description of multidimensional probing signals with a high repetition rate based on set theory. The practical significance lies in the possibility of comparing different approaches to solving the problem of ambiguity in measuring the radar range based on criteria determined by the intended purpose of the designed radar. The article can be used in discussing advanced developments and preliminary design of radars with a high repetition rate of probing signals when choosing a concept for solving the problem of unambiguous ranging.

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