Skip to main content
Log in

Angular Superresolution of the Antenna-Array Signals Using the Root Method of Minimum Polynomial of the Correlation Matrix

  • Published:
Radiophysics and Quantum Electronics Aims and scope

We propose a new variant of the superresolution method of minimum polynomial of the correlation matrix for estimating the number and angular coordinates of the closely located sources of the signals recorded by the antenna array. The method ensures the direction finding of the sources by determining roots of the denominator of the pseudospectral function (the root method). Special attention is paid to the cases of strongly correlated signal sources and a short sample of the input process when the number of samples is smaller than that of array elements. The efficiencies of the angular superresolution for the root and spectral variants of the method of minimum polynomial, as well as the root MUSIC (MUltiple SIgnal Classification) method are compared.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ya.D. Shirman, ed., Radioelectronic Systems: Fundamentals of Development and Theory [in Russian], Radiotekhnika, Moscow (2007).

    Google Scholar 

  2. M. V. Ratynskii, Adaptation and Superresolution in Antenna Arrays [in Russian], Radio i Svyaz’, Moscow (2003).

    Google Scholar 

  3. V.T. Ermolayev and A. G. Flaksman, Theoretical Fundamentals of Signal Processing in Wireless Communication Systems [in Russian], N. I. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod (2011).

    Google Scholar 

  4. A. G. Sazontov and A. I. Malekhanov, Acoust. Phys., 61, No. 2, 213 (2015).

    Article  ADS  Google Scholar 

  5. V. V. Karavaev and V.V. Sazonov, Statistical Theory of Passive Radar [in Russian], Radio i Svyaz’, Moscow (1987).

    Google Scholar 

  6. V. I. Turchin, Introduction to the Modern Theory of Estimation of Signal Parameters [in Russian], Inst. Appl. Phys., Nizhny Novgorod (2005).

  7. L.C. Godara, Smart Antennas, CRC Press, Boca Raton, London–New York–Washington (2004).

    Book  Google Scholar 

  8. T.E. Tuncer and B. Friedlander, eds., Classical and Modern Direction-of-Arrival Estimation, Academic Press, Burlington (2009).

    Google Scholar 

  9. A. A. Rodionov and V. I. Turchin, Radiophys. Quantum Electron., 60, No. 1, 54 (2017).

    Article  ADS  Google Scholar 

  10. V.T. Ermolaev, A.G. Flaksman, and A.A. Anurin, Radiophys. Quantum Electron., 39, No. 9, 765 (1996).

    Article  ADS  Google Scholar 

  11. V.T. Ermolaev, A.G. Flaksman, A. V. Elokhin, and V.V. Kuptsov, Acoust. Phys., 64, No. 1, 83 (2018).

    Article  ADS  Google Scholar 

  12. P. Stoica and A. Nehorai, IEEE Trans. Acoust. Speech Sign. Proc., 37, No. 5, 720 (1989).

    Article  Google Scholar 

  13. V.T. Ermolaev, 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.

  14. F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1988).

    MATH  Google Scholar 

  15. V.T. Ermolayev and A. G. Flaksman, Int. J. Electron., 75, No. 4, 753 (1993).

    Article  Google Scholar 

  16. R. A. Monzingo and T.W. Miller, Introduction to Adaptive Arrays, Wiley, New York (1980).

    Google Scholar 

  17. V.T. Ermolayev, A. G. Flaksman, and Yu. L. Rodygin, Int. J. Electron., 76, No. 3, 497 (1994).

    Article  Google Scholar 

  18. V.T. Ermolaev, Radiophys. Quantum Electron., 38, No. 8, 551 (1995).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. G. Flaksman.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 61, No. 3, pp. 261–272, March 2018.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ermolayev, V.T., Flaksman, A.G., Elokhin, A.V. et al. Angular Superresolution of the Antenna-Array Signals Using the Root Method of Minimum Polynomial of the Correlation Matrix. Radiophys Quantum El 61, 232–241 (2018). https://doi.org/10.1007/s11141-018-9884-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11141-018-9884-5

Navigation