We show that the angular resolution of the signal sources in the phase direction finders with the antenna systems in the form of linear arrays of the weakly directional elements can be reached by determining the own set of full periods of the phase difference, which are lost during the measurements, for each source. It is established that the maximum-likelihood method, which has been developed for estimating the arrival of one signal, can be used for the angular resolution of the signal sources. We show the generality of the basis for the angular resolution using the maximum-likelihood method and the method of summation of cosine functions. The estimates of the accuracy of the received-signal direction finding are given.
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References
V. E. Dulevich, ed., Theoretical Fundamentals of Radar [in Russian], Sovetskoe Radio, Moscow (1978).
V. I. Belov, Theory of the Phase Measurement Systems [in Russian], Tomsk State Univ. of Control Systems and Radioelectronics, Tomsk (1994).
V.P. Denisov and D.V. Dubinin, Phase Radio Direction Finders [in Russian], Tomsk State Univ. of Control Systems and Radioelectronics, Tomsk (2002).
I. E. Kinkul’kin, Global Navigational Satellite Systems: Algorithms of User Equipment Functioning [in Russian], Radiotekhnika, Moscow (2018).
S. E. Lipsky, Microwave Passive Direction Finding, SciTech Publishing, Raleigh, NC (2004).
S.Verhagen and P. J. G.Teunissen, J. Guid. Control Dyn., 29, No. 4, 981–991 (2006). https://doi.org/10.2514/1.15905
M. V.Ratynsky, Adaptation and Superresolution in Antenna Arrays [in Russian], Radio i Svyaz’, Moscow (2003).
A. I. Kupriyanov and L.N. Shustov, Radioelectronic Struggle: Fundamentals of Theory [in Russian], Vuzovskaya Kniga, Moscow (2011).
Yu.A. Smirnov, Radioengineering Reconnaissance [in Russian], Voennoe Izd., Moscow (2006).
M.N. El Korso, R. Boyer, A.Renaux, and S. Marcos, EURASIP J. Adv. Signal Process., 2011, No. 12 (2011). https://doi.org/10.1186/1687-6180-2011-12
A. I. Leonov and K. I. Fomichev, Monopulse Radar [in Russian], Radio i Svyaz’, Moscow (1984).
Ya. I.Khurgin and V. P.Yakovlev, Finite Functions in Physics and Engineering [in Russian], Nauka, Moscow (1971).
V. N. Smirnov, A. V. Sheremet’ev, S.N.Kul’pin, M.N.Timofeev, and V. V. Ivanov, “Phase direction finder” [in Russian], RF Patent No. 2536440 (2014).
V.P. Denisov, D.V. Dubinin, and D.V.Erofeev, Proc. Tomsk State Univ. of Control Systems and Radioelectronics, 20, No. 4, 11–16 (2017). https://doi.org/10.21293/1818-0442-2017-20-4-11-16
E. Shaw and D. Davis, Zarub. Radioélektron., No. 11, 103–123 (1965).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 64, No. 7, pp. 567–576, July 2021. Russian DOI: https://doi.org/10.52452/00213462_2021_64_07_567
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Denisov, V.P., Dubinin, D.V. & Erofeev, D.V. Using the Maximum-Likelihood Method for the Angular Resolution of the Signal Sources in Multibase Phase Direction Finders. Radiophys Quantum El 64, 511–519 (2021). https://doi.org/10.1007/s11141-022-10152-9
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DOI: https://doi.org/10.1007/s11141-022-10152-9