We present experimental results on the superresolution of two closely located signal sources, which were obtained using an automotive millimeter-wave radar. The signal sources were mutually correlated and the input process consisted of only one sample. The minimum-polynomial method (the root variant) was compared with the Minimum Description Length (MDL) criterion when determining the number of sources and the root MUltiple Signal Classification (MUSIC) method when estimating their angular location. The minimum-polynomial method is shown to have a higher efficiency compared with the MDL criterion and ensures the source superresolution for the angular distance which is a factor of 4–5 smaller than the width of the antenna-array pattern. In terms of accuracy of estimating the coordinates of the signal sources, the efficiency of this method almost coincides with that of the root-MUSIC method if the number of sources is considered to be known in the latter method.
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References
Ya. D. Shirman, ed., Radioelectronic Systems: Fundamentals of Development and Theory [in Russian], Radiotekhnika, Moscow (2007).
M. V. Ratynsky, Adaptation and Superresolution in Antenna Arrays [in Russian], Radio i Svyaz’, Moscow (2004).
A. G. Sazontov and A. I. Malekhanov, Acoust. Phys., 61, No. 2, 213 (2015).
V. V. Karavaev and V.V. Sazonov, Statistical Theory of Passive Radar [in Russian], Radio i Svyaz’, Moscow (1987).
V. I. Turchin, Introduction to the Modern Theory of Estimation of Signal Parameters [in Russian], Inst. Appl. Phys., Nizhny Novgorod (2005).
L.C. Godara, Smart Antennas, CRC Press, Boca Raton (2004).
T. E. Tuncer and B. Friedlander, eds., Classical and Modern Direction-of-Arrival Estimation, Academic Press, Burlington (2009).
A. A. Rodionov and V. I. Turchin, Radiophys. Quantum Electron., 60, No. 1, 54 (2017).
V.T. Ermolaev, A.G. Flaksman, and A.A.Anurin, Radiophys. Quantum Electron., 39, No. 9, 765 (1996).
V.T. Ermolaev, A.G. Flaksman, A. V. Elokhin, and V.V.Kuptsov, Acoust. Phys., 64, No. 1, 83 (2018).
V.T. Ermolayev, A. G. Flaksman, A.V. Elokhin, and O. A. Shmonin, Radiophys. Quantum Electron., 61, No. 3, 232 (2018).
V.T. Ermolayev, A. G. Flaksman, A.V. Elokhin, and V. V. Kuptsov, in: Proc. of the Xth Russian Conf. “Radar and Radio Communications,” V.A.Kotel’nikov Inst. Radioeng. Electron., Moscow, November 21–23, 2016, p. 100.
V.T. Ermolayev, A. G. Flaksman, A.V. Elokhin, and O. A. Shmonin, in: Proc. XXIst Sci. Conf. on Radiophysics, Nizhny Novgorod, May 15–22, 2017, p. 319.
V.T. Ermolayev, A. G. Flaksman, A.V.Elokhin, and O. A. Shmonin, in: Proc. XXIst Sci. Conf. Radiophys., Nizhny Novgorod, May 15–22, 2017, p. 365.
R. A. Monzingo and T.W.Miller, Introduction to Adaptive Arrays, Wiley, New York (1986).
F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1988).
G.E. Shilov, Mathematical Analysis (Functions of Several Real Variables), Pts. 1–2 [in Russian], Nauka, Moscow (1972).
A. G. Kurosh, A Course of Higher Algebra [in Russian], Lan’, St. Petersburg (2008).
V.T. Ermolaev, Radiophys. Quantum Electron., 38, No. 8, 551 (1995).
V. O. Kobak, Radar Reflectors [in Russian], Sovetskoe Radio, Moscow (1975).
G. Xu, R. Roy, and T. Kailath, IEEE Trans. Signal Proc., 42, No. 1, 102 (1994)
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 61, No. 11, pp. 945–957, November 2018.
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Ermolayev, V.T., Flaksman, A.G., Elokhin, A.V. et al. An Experimental Study of the Angular Superresolution of Two Correlated Signals Using the Minimum-Polynomial Method. Radiophys Quantum El 61, 841–852 (2019). https://doi.org/10.1007/s11141-019-09941-6
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DOI: https://doi.org/10.1007/s11141-019-09941-6