Yu.G. Bulychev – Honored Scientist of RF, Dr.Sc.(Eng.), Professor, 

JSC «VNII «Gradient» (Rostov-on-Don)

E-mail: ProfBulychev@yandex.ru

E.N. Chepel – Head of Department, 

JSC «VNII «Gradient» (Rostov-on-Don)

E-mail: evgeny_c@bk.ru

A.V. Yachmenev – Post-graduate Student, 

JSC «VNII «Gradient» (Rostov-on-Don)

Among a number of works, a set of various optimal and quasioptimal estimation methods for solving the triangulation problem, which can be used to locate an emitting target, is considered. The implementation of these methods in the computer environment is based on the application of the well-known numerical algorithms for search of extreme point of the corresponding efficiency function. It is known that, depending on the topology of the triangulation measuring system, the observation conditions, and the chosen algorithm for numerical optimization, the problem of determining an emitting target coordinates using the above estimation methods can result in both correct and incorrect results, i.e. obtaining imperfect triangulation estimates of an emitting target location.

The analysis shows that solving the triangulation problem, we are occupied with «ravine» efficiency functions, while there are also local extrema, along with a weakly expressed global extremum. In case of an unsuccessful choice of the initial condition (for startup of the corresponding iterative algorithm), such extrema can result in the undesirable computational effects and anormal estimation errors. This is especially characteristic of the case when the emitting target is within the triangulation-incorrect areas, when even insignificant errors of direction finding can lead to the incorrect results of solving the coordinate measurement problem based on the triangulation measuring system.

The well-known triangulation works are usually limited only to considering the potential possibilities of optimal and quasioptimal estimation methods with a display of the dispersion ellipses or ellipsoids for the corresponding working areas of the triangulation measuring system. At the same time, the computation aspects of the implementation of these methods in a real computer environment, taking into account the chosen algorithm of numerical optimization, remain unaddressed. There is no comparative analysis of such algorithms for the accuracy and efficiency of calculations, which is especially important in regard to the triangulation measuring system designed for on-line work. The goal of this article consists in eliminating the above gap.

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