Analysis of the accuracy of radar tracking of unresolved by coordinates targets

During radar tracking often a situation arises when two targets are unresolved in one or more coordinates. The aim of this work is to develop an analytical technique for analyzing the accuracy of tracking of unresolved targets using methods of statistical linearization and integration of equations of probabilistic moments. Initially, the problem of analyzing the accuracy of tracking a single target is solved, and then the problem of tracking of two targets which are unresolved in one of the coordinates. A technique for analyzing the accuracy of radar tracking of two unresolved targets, the signals of which are within the width of the discriminatory characteristic is proposed. The nonlinear nature of the problem is caused by the need to take into account the form of this discriminatory characteristic. When developing the technique, the method of statistical linearization of nonlinear functions and the method of integrating equations of probabilistic moments were used.

Mathematical simulation of a single target tracking system and a tracking system for two unresolved targets was carried out. The accuracy of the technique was assessed by comparing the results of calculating means and variances of tracking errors using Monte Carlo method with the results of analytical calculations. The obtained results can be used to solve problems such as tracking a paired target, handling crossing trajectories, tracking in conditions of radar jamming, etc.

1. Mahler R. Statistical Multisource-Multitarget Information Fusion. Artech House Publishers, 2007. 888 p.

2. Tsvetnov V. V., Demin V. P., Kupriyanov A. I. Electronic warfare: radio intelligence and radio countermeasures. Moscow, 1998. 220 p. (in Russian).

3. Kazakov I. E., Mal’chikov S. V. Analysis of stochastic systems in state space. Moscow, 1983. 384 p. (in Russian).

4. Artem’ev V. M. Handbook on research methods for radio-electronic tracking systems. Minsk, 1984. 168 p. (in Russian).