The neural-network and statistical algorithms for estimating coordinates of a source of radio radiation in multi-position radio systems in the presence of abnormal errors of primary parameter measurement




The paper considers algorithms for estimating the coordinates of a radio radiation source by a single measurement in the angle-measuring and difference-type range-measuring multi-position radio systems in the presence of abnormal errors of measurement of primary parameters. The algorithms are developed based on neural networks with direct coupling. Analysis of accuracy characteristics of the neural-network estimation of coordinates is performed — as compared with the statistical Bayes-type estimation obtained with the use of Huber’s minimax approach.


RADZIEVSKII, V.G.; SIROTA, A.A. Theoretical Principles of Radioelectronic Reconnaissance [in Russian]. Moscow: Radiotekhnika, 2004.

ERSHOV, A.A. "Robust methods of parameter estimation (survey)," Automation and Remote Control, v.39, n.8, p.1152-1181, 1979. URI:

HUBER, P.J. Robust Statistics. JohnWiley & Sons, 1981.

KRYANEV, A.V.; LUKIN, G.V. Mathematical Methods for Processing of Indeterminate Data [in Russian]. Moscow: Fizmatgiz, 2003.

TIKHONOV, V.I.; KHARISOV, V.N. Statistical Analysis and Synthesis of Radio-Engineering Devices and Systems—A Textbook for Higher School, 2nd rev. ed. [in Russian]. Moscow: Radio i Svyaz’, 2004.

AFANAS’YEV, V.I.; KIRSANOV, E.A.; SIROTA, A.A. "Neirosetevye i statisticheski optimalnye algoritmy ocenki koordinat istochnikov radioizlucheniia v mnogopozitcionnykh radiosistemakh," Radiotekhnika, n.10, p.87-91, 2003.

SIROTA, A.A.; KIRSANOV, E.A. "Statistically optimal and neural-network algorithms for estimation of source’s coordinates with integration of information in angle-measuring and difference-type range-measuring multi-position radio systems," Radioelectron. Commun. Syst., v.48, n.3, p.43-49, 2005. URI:

BEREZIN, L.V.; VEITSEL’, V.A. Theory and Design of Radio Systems [in Russian]. Moscow: Sov. Radio, 1977.

OSOWSKI, S. Neural Networks for Information Processing. Moscow: Finansy i Statistika, 2002 [Russian translation].

IL’IN, V.A.; POZNYAK, E.G. Linear Algebra [in Russian]. Moscow: Nauka, 1978.