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Journal Antennas №5 for 2014 г.
Article in number:
The statistical approach to a problem of radio emission sources' location finding with goniometrical method
Authors:
A. D. Vinogradov - Dr.Sci. (Eng.), Professor, Senior Research Scientist, Federal State Official Military Educational Institution of Higher Professional Education Military Educational-Research Centre of the Air Force «Air Force Academy named after professor N.E. Zhukovsky and Y.A. Gagarin» (Voronezh). E-mail: mvvad@mail.ru
I. S. Dmitriev - C.Sc. (Eng.), Leading Research Scientist, JSC «Concern «Sozvezdie» (Voronezh). E-mail: dmiv@mail.ru
Abstract:
The problem of radio emission sources - coordinates estimation is considered in generalized form for multistatic radio system basing on mathematical statistics approach. The computational algorithm of maximum likelihood estimation of radio source coordinates is synthesized basing on the known dependence of the radio navigation parameters, measured by the radio system, on the radio source's coordinates, as well as on the known combined law of these parameters measurement errors' distribution. The structure of computational procedure is suggested which realize this algorithm. The expression of Rao-Kramer lower bound estimation for error correlation matrix of radio sources coordinates' estimation is developed. Generic results of the study are instantiated for the following types of radio systems: multistatic goniometrical system on a plane (2D); multistatic goniometrical system on a sphere; monostatic two-coordinate goniometrical system for estimation of radio sources' coordinates for the ionospheric radio wave propagation. Expressions for radio source coordinates' derivatives of the measured radio navigation parameters are obtained, and graphical charts are presented which illustrate the distribution of 2D errors of target locating in the zone covered by the radio system. For simplest radio system based on a pair of radio direction finders or a single 2D radio direction finder, the closed expressions are obtained which allows to get radio source coordinates' estimations by measured radio navigation parameters and known positions of receiving stations.
Pages: 20-41
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