A.V. Kvasnov1, V.B. Polyakov2

1 St. Petersburg Federal Research Center of the Russian Academy of Sciences (St. Petersburg, Russia)

2 Saint-Petersburg State University of Aerospace Instrumentation (St. Petersburg, Russia)

1 AntonKV@mail.ru; 2 vadim7702@yandex.ru

The article deal with the implementation of the convergence of two unmanned aerial vehicles based on the estimation of the metric in Lebesgue space. The upper bound of the scalar product can be calculated for two sets, which determines as a criterion for their stochastic dependence. The paper shows that the Mahalanobis distance is optimal criterion, since it provides an independent scale-invariant estimate of the distance between objects. The simulation of the approach was carried out for active phased array with a maximum range 8000 m. Radar cross section was chosen no more than 1.6 m2. The distribution of position errors was assumed according to the normal law. The results demonstrated the advantage of the Mahalanobis distance in comparison with other criterions in space (Chebyshev distance, distance of «city blocks»).

Kvasnov A.V., Polyakov V.B. The criteria for the convergence of two unmanned aerial vehicles by radars using the Lebesgue measure. Radiotekhnika. 2024. V. 88. № 11. P. 145−155. DOI: https://doi.org/10.18127/j00338486-202411-18 (In Russian)

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