Vyacheslav V. Pechurin – Ph.D.(Eng.), Scientific and Pedagogical Worker
Maksim V. Pechurin – Ph.D.(Eng.), Scientific and Pedagogical Worker
Oleg A. Kopichev – Ph.D.(Eng.), Scientific and Pedagogical Worker

Active development of a radio communication, radio broadcasting, television and wireless data transmission is characterized by increase in number of radio emitters. This leads to an increase in their density of placement on the area. Under such conditions, determination of the location of radio emitters from stationary radio control becomes very difficult or impossible.
At the same time, the improvement and miniaturization of individual radio-electronic devices made it possible to create mobile and portable direction finders with the possibility of their delivery to any given area. From two such direction finders, it is possible to form direction of arrivals positioning system and expand the radio control area outside the area of operation of stationary means. However, to ensure a low positioning precision, it is necessary to determine their correct location on the area. This made it necessary to investigate and determine the minimum precision of the direction of arrivals positioning systems of the radio emitters with the two receiving stations for their correct location.
The article conducted a study of the precision of direction of arrivals positioning systems with two receiving stations. The minimum value of precision of one-time positioning measurement is obtained, which depends on the system base. Expressions and dependencies of precision on direction to radio emitters and ratio of range to base, as well as on range and base of positioning system are presented. Two versions of direction of arrivals positioning systems with different bases are compared. It is shown that there is a threshold distance to the radio emitters, at which the same precision is provided by various direction of arrivals positioning systems and that when this distance is exceeded, a smaller precision is provided by an direction of arrivals system with a larger base. To calculate a given threshold distance, a mathematical expression is presented. It is also shown that the given precision is provided over a longer range when choosing the optimal value of the base of the direction of arrivals measurement system. Expressions are presented for calculating the optimal base of the direction of arrivals positioning system and the maximum range at which the given precision is provided. Also presented are proposals for reducing the precision of direction of arrivals positioning systems with two receiving stations.
The results of the study can be used in practice to expand the radio control area and reduce positioning precision by correctly positioning mobile or portable receiving stations.

Pechurin V.V., Pechurin M.V., Kopichev O.A. Minimum precision in direction of arrivals positioning systems with two receiving stations. Electromagnetic waves and electronic systems. 2020. V. 25. № 6. P. 13−20. DOI: 10.18127/j15604128-202006-02. (in Russian)

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