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Distribution of global maximum of maximal likelihood direction-finding relief in the problems of detection and direction-finding of radio sources


M. L. Artemov – Dr.Sc. (Eng.), Associate Professor, Director of STC «EW and special communication», JSC “Concern “Sozvezdie” (Voronezh). E-mail: M. P. Slichenko – Ph.D. (Phys.-Math.), Head of Sector, JSC “Concern “Sozvezdie” (Voronezh). E-mail: E. S. Solomko – Leading Design Engineer, JSC “Concern “Sozvezdie” (Voronezh). E-mail:

The case of detection of radio sources by the detector – direction finder with the multichannel antenna system which directional characteristics are a priori unknown has been considered in the article. The analysis of the solving statistics of detection, based on the estimates of a global maximum of the direction-finding relief has been carried out. One of the statistics represents the assessment of a global maximum of the relief within an approach based on use of «a fixed matrix» of the multichannel system; another one – the assessment of the upper bound of a global maximum on the basis of Bunyakovsky-Schwarz\'s inequality. The analyzed algorithms of detection – other parameters being equal (for identical number of the antenna system elements and fixed false-alarm probability and signal-to-noise ratio) – provide the values of the signal missing probability, differing by the value, which smaller the missing probability by several digits. It has been established by the results of analysis of both solving rules that the detection algorithm based on use of a fixed matrix – other parameters being equal – provides the missing probability smaller and, therefore, the better characteristics of detection. The distinction in the detection characteristics of the analyzed algorithms is leveled as the signal-to-noise ratio increases. The considered solving statistics are invariant to the directional characteristics of the antenna system elements and its configuration, and the solving rules corresponding to these statistics allow detecting the signals of radio sources before the direction-finding procedure under the conditions of prior uncertainty in regard to the antenna directional characteristics. The detection characteristics of the analyzed algorithms depend only on quantity of antenna elements of an detector – direction finder and number of measurements in a set of observations.


  1. Dmitriev I.S., Slichenko M.P.Maksimalno pravdopodobnoe obnaruzhenie i ocenivanie napravlenija prikhoda i amplitudy naprjazhennosti radiovolny s pomoshhju mnogokanalnogo radiopelengatora s antennojj sistemojj proizvolnojj konfiguracii // Antenny. 2011. Vyp. 5. S. 59–64.
  2. Artemov M.L., Solomko E.S. Adaptivnoe obnaruzhenie radiovoln mnogokanalnym obnaruzhitelem-pelengatorom s proizvolnojj antennojj sistemojj v uslovijakh otsutstvija informacii o ee kharakteristikakh // Teorija i tekhnika radiosvjazi. 2014. № 1. S. 19–25.
  3. Artemov M.L., Solomko E.S. Adaptivnoe obnaruzhenie radiovoln sistemojj nesinfaznykh mnogokanalnykh obnaruzhitelejj-pelengatorov v uslovijakh apriornojj neopredelennosti razlichnogo urovnja // Antenny. 2014. Vyp. 5. S. 61–68.


May 29, 2020

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