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Avtometriya

2025 year, number 3

CONSTRUCTION OF OPTIMAL ALGORITHMS FOR LOCALIZATION OF PULSED SOURCES BASED ON BACK-RECURSION: INTELLIGENT SOFTWARE SUPPORT

A. L. Reznik, A. A. Soloviev, I. Yu. Reznik, R. M. Kojevnikov
Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: localization algorithms, pulsed point source, back-recursion

Abstract

A new approach to constructing optimal algorithms for localization of point signal sources that detect themselves by generating ultra-short pulses at random time instants is presented. The approach is based on the application of the iterative method of back-recursion to this class of problems. An analytically exact solution of the problem is found for the case where a priori probability density of the source sought is given by a piecewise constant function of arbitrary complexity. The whole process associated with the construction of an optimal search algorithm minimizing the mathematical expectation of the total localization time of the pulsed point source sought is fully formalized and implemented as an autonomous software block.