Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2021. No. 2
ContentsFull text in Russian (pdf)
DOI https://doi.org/10.30898/1684-1719.2021.2.3
UDC 621.396.6
Experimental research of the angular superresolution of correlated signal sources by the minimum polynomial method
I. M. Averin, A. V. Elokhin, A. G. Flaksman
Lobachevsky State University of Nizhny Novgorod, Gagarin prosp., 23, Nizhny Novgorod 603950, Russia
The paper was received on February 4, 2021
Abstract. Experimental results on the super-resolution of two closely spaced signal sources obtained using a car radar of the millimeter wavelength range are presented. The peculiarities of the experimental conditions were a high mutual correlation of signal sources and an extremely short input process, which consisted of only one sample. The estimation of the number of sources was carried out using the method of the minimum polynomial of the correlation matrix of signals in the antenna array, which provided the probability of correct estimation of the number of sources equal to 100% in all scenarios of the signal situation. To find the angular coordinates of the sources, we used the method of scanning the AA beam, the spectral and root methods of the minimum polynomial. Comparative analysis showed that the root method is more efficient and provides resolution of sources in cases of smaller angular distance between them.
Key words: antenna array, correlation matrix, minimum polynomial, super-resolution, estimate of the number of sources, estimate of angular coordinates.
References
1. Ratynsky M.V. Adaptatsiya i sverkhrazresheniye v antennykh reshetkakh [Adaptation and superresolution in antenna arrays]. Moscow, Radio i Svyaz’ Publ. 2003.199 p. (In Russian)
2. Karavaev V.V., Sazonov V.V. Statisticheskaya teoriya passivnoy lokatsii [Statistical theory of passive location]. Moscow, Radio i Svyaz’ Publ. 1987.240 p. (In Russian)
3. Godara L.C. Smart antennas. London, CRC Press. 2004. 458 p.
4. Tuncer T.E., Friedlander B. Classical and Modern Direction-of-Arrival Estimation. London, Elsevier Inc. 2009. 429 p.
5. Turchin V.I. Vvedeniye v sovremennuyu teoriyu otsenki parametrov signalov [Introduction to the modern theory of signal parameters estimation]. N.Novgorod, IAP RAS. 2005.116 p.
6. Ermolaev V.T., Flaksman A.G., Anurin A.A. Estimation of parameters of signals received by an antenna array. Radiophysics and Quantum Electronics. 1996. Vol.39. No.9. P.65-776.
7. Ermolaev V.T., Flaksman A.G., Elokhin A.V., Kuptsov V.V. Minimal Polynomial Method for Estimating Parameters of Signals Received by an Antenna Array. Acoustical Physics. 2018. Vol.64. No.1. P.83–90.
8. Ermolaev V.T. Evaluation of parameters for the minimal polynomial of the signal-correlation matrix of a multichannel adaptive receiving system. Radiophysics and Quantum Electronics. 1995. Vol.38. Issue 8. P.551–561. https://doi.org/10.1007/BF01037705.
9. Wax M., Kailath T. Detection of signals by information theoretic criteria. IEEE Trans. Acoust. Speech and Signal Process. 1985. Vol.33. No.2. P.387–392.
10. Xu G., Roy R., Kailath T. Detection of number of sources via exploitation of centro-symmetry property. IEEE Transactions on Signal Processing. 1994. Vol.42. No.1. P.102-112.
11. Ermolaev V.T., Flaksman A.G., Elokhin A.V., Kuptsov V.V. Metod minimal'nogo mnogochlena dlya otsenki chisla istochnikov signalov v antennoy reshetke [Minimum polynomial method for estimating the number of signal sources in an antenna array]. Proceedings of the X All-Russian conference “Radiolokarsiya i Radiosvyaz’ “["Radar and Radio Communication"]. Moscow, Kotelnikov IRE RAS. 2016. P.100-103. (In Russian)
12. Ermolayev V.T., Flaksman A.G., Elokhin A.V., Shmonin O.A. Angular Superresolution of the Antenna-Array Signals Using the Root Method of Minimum Polynomial of the Correlation Matrix. Radiophysics and Quantum Electronics. 2018. Vol.61. P.232–241. https://doi.org/10.1007/s11141-018-9884-5.
13. Ermolayev V.T., Flaksman A.G., Elokhin A.V., Shmonin O.A. An Experimental Study of the Angular Superresolution of Two Correlated Signals Using the Minimum-Polynomial Method. Radiophysics and Quantum Electronics. 2019. Vol.61. P.841–852. https://doi.org/10.1007/s11141-019-09941-6.
14. Gantmakher F.R. Teoriya matrits. [Matrix theory]. Moscow, Nauka Publ. 1988. 552 p. (In Russian)
15. Voevodin V.V. Lineynaya algebra. [Linear algebra]. Moscow, Nauka Publ. 1980. 400 p. (In Russian)
16. Monzingo R.A., Miller T.U. Introduction to Adaptive Arrays. John Wiley & Sons, Inc., 1980.
17. Widrow B., Steams S. Adaptive Signal Processing. Prentice-Hall, Inc., Englewood Cliffs, N.J. 1985. 474 p.
18. Kobak V.O. Radiolokatsionnyye otrazhateli [Radar Reflectors]. Moscow, Sovetskoye Radio Publ. 1975. (In Russian)
For citation:
Averin I.M., Elokhin A.V., Flaksman A.G. Experimental research of the angular superresolution of correlated signal sourcesby the minimum polynomial method. Zhurnal Radioelektroniki [Journal of Radio Electronics]. 2021. No.2. https://doi.org/10.30898/1684-1719.2021.2.3 (In Russian)