Yu.N. Parshin – Dr.Sc.(Eng.), Professor, Head of Department of Radio Engineering Devices, Ryazan State Radio Engineering University

E-mail: parshin.y.n@rsreu.ru

I.I. Frolov – Ph.D.(Eng.), Deputy Director, of STC, Ryazan State Instrument-Making Enterprise E-mail: ntc@plata.ryazan.ru

An estimation algorithm of amplitude and phase of signal on aperture of antenna array by means of maximum likelihood method is developed and investigated as well. The results of complex amplitude measuring on output of antennas array are used in the case of various positions of signal source and with presence of Gaussian measuring errors. The investigation of dependences of error variance of complex amplitude and phase distribution on antennas array parameters is implemented by means of statistical modeling method and analytical method as well. The good compliance the modeling result with analytical result is obtained. It is settled that the angular sector width of measuring affects substantially on variance of estimation error. Optimal value of angular spread of measuring is equal 120 degree.

1. Bubnov G.G., Nikulin S.M., Seryakov Yu.N., Fursov S.A. Kommutaczionny’j metod izmereniya xarakteristik FAR. M.: Radio i svyaz’. 1988. 120 s.
2. Kinber B.E. Teoriya izmereniya parametrov antenn // Obratny’e zadachi teorii rasseyaniya i teoriya statisticheski neodnorodny’x traktov. M.: 1979. S. 142−225.
3. Turchin V.I., Czejtlin N.M. Amplifazometricheskij metod antenny’x izmerenij // Radiotexnika i e’lektronika. 1979. T. 24. № 12. S. 2381−2413.
4. Parshin Yu.N., Gusev S.I., Frolov I.I., Kolesnikov S.V., Zharikov P.V. Vliyanie vzaimny’x impedansov e’lementov antennoj reshetki na e’ffektivnost’ prostranstvennoj obrabotki signalov // Vestnik Ryazanskogo gosudarstvennogo radiotexnicheskogo universiteta. 2017. № 60. S. 17−26.
5. Parshin Yu.N., Frolov I.I. Sintez i analiz e’ffektivnosti optimal’noj prostranstvennoj struktury’ oczenivaniya amplitudno-fazovogo raspredeleniya radiosignalov metodom ortogonal’nogo razlozheniya na osnove statisticheskoj modeli // Radiotexnika. 2017. № 5. S. 108−117.
6. Parshin Yu.N., Frolov I.I. Rekurrentnoe oczenivanie amplitudno-fazovogo raspredeleniya pri optimal’noj prostranstvennoj strukture izmerenij // Vestnik Ryazanskogo gosudarstvennogo radiotexnicheskogo universiteta. 2014. № 2. S. 35−41.
7. Monzingo R.A., Miller T.U. Adaptivny’e antenny’e reshetki: Vvedenie v teoriyu. M.: Radio i svyaz’. 1986. 448 s.
8. Tixonov A.N., Arsenin V.Ya. Metody’ resheniya nekorrektny’x zadach. M.: Nauka. 1976. 285 s.