V.I. Merkulov – Dr.Sc. (Eng.), Professor, Honoured Scientist of the Russian Federation, Deputy Designer General, JSC «Radio Engineering Corporation «VEGA»

E-mail: from_fn@mail.ru

A.G. Teterukov – Ph.D. (Eng.), Head of Sector,

JSC «Radio Engineering Corporation «VEGA»

V.S. Chernov – Ph.D. (Eng.), Associate Professor, Leading Research Scientist,

JSC «Radio Engineering Corporation «VEGA»

V.B. Grebennikov – Ph.D. (Eng.), Associate Professor, Leading Engineer, JSC «Zaslon»

The adaptive method of spatial identification of bearings is intended for use in single-position systems of aerial radio monitoring in order to increase the efficiency of identification of bearings with fixed ground radio emission sources (RES). The article considers the principle of constructing a confidence area for each current bearing point and provides mathematical expressions for calculating the radius and angular size of the RES used to identify the bearings that fall within it. As a result, a given probability of identifying bearings is provided, provided that the confidence area does not intersect with false bearings. An algorithm has also been developed that determines the identification threshold in a situation where the received bearing simultaneously crosses the confidence regions of two RES.

The results of mathematical modeling are presented, confirming the possibility of a significant increase in the probability of correct identification of bearings and the accuracy of determining the location of RES by air passive angle-measuring systems in comparison with the known non-adaptive method, which uses a fixed value of the radius of the confidence area for all bearing points. When modeling, the identification of bearings that mimic the measured ones was carried out in adaptive and non-adaptive ways for different versions of the initial data that characterize the accuracy of bearing, the number of bearings, the ratio of the direction finding base and the distance to the RES along the traverse line.

A comparative analysis of the performance indicators of the adaptive method of determining bearings and the non-adaptive method in relation to the horizontal plane is performed. It is shown that the adaptive method exceeds the non-adaptive method in the probability of correct identification of bearings, while the superiority of the adaptive method increases as the number of processed bearings increases. In addition, it was found that the effectiveness of the adaptive method in the case of identification of bearings with a single IRI practically does not depend on the mean square deviation (MSD) of their measurement.

The results of statistical simulation on a computer also allow us to evaluate the influence of the geometry of the mutual spatial position of the RES and flight vehicle (FV) on the quality of the identification algorithms. It is established that the efficiency of the adaptive method is increased as the Dt /L ratio decreases.

A distinctive feature of the adaptive method of spatial identification is the implementation of a one-time procedure for evaluating the reference rectangular coordinates of the RES, whose estimates may differ significantly from the true coordinates of the IRI, which leads to the impossibility of obtaining a given probability of correct identification of bearings. 

A variant of the adaptive identification method modification is proposed. It is based on multiple weight correction of reference coordinates as measurements are received from new bearing points and makes it possible to increase the probability of correct identification of scales. It is noted that other processing methods, such as Kalman filtering, can be used to refine (smooth) the reference coordinates.

Merkulov V.I., Teterukov A.G., Chernov V.S., Grebennikov V.B. Adaptive method of spatial identification of bearings with ground-based radio sources. Achievements of modern radioelectronics. 2020. V. 74. № 6. P. 17–34. DOI: 10.18127/j20700784-202006-02. [in Russian]

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