Skip to main content
Log in

Low-complexity ESPRIT–Root-MUSIC Algorithm for Non-circular Source in Bistatic MIMO Radar

  • Published:
Circuits, Systems, and Signal Processing Aims and scope Submit manuscript

Abstract

We study the problem of angle estimation for non-circular sources in bistatic multiple-input multiple-output (MIMO) radar system and propose a low-complexity ESPRIT–Root-MUSIC algorithm for joint direction of departure (DOD) and direction of arrival (DOA) estimation. By taking the non-circularity characteristics of the impinging signals, the received data can be extended, which corresponds to double the number of elements in MIMO radar. Then a novel signal subspace, based on the multistage wiener filter, can be determined directly from the extended data, which does not involve the estimation of covariance matrix and its eigenvalue decomposition (EVD), thus implying that the proposed method is computationally efficient. Finally, the DOD and DOA are estimated by ESPRIT and Root-MUSIC, respectively. Compared with EVD-based algorithms, the proposed method provides the comparable angle estimation performance with lower computational complexity. Some simulation results verify the validity of the proposed method.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. I. Bekkerman, J. Tabrikian, Target detection and localization using MIMO radars and sonars. IEEE Trans. Signal Process. 54(10), 3873–3883 (2006)

    Article  Google Scholar 

  2. M.L. Bencheikn, Y. Wang, H. He, Polynomial root finding technique for joint DOA DOD estimation in bistatic MIMO radar. Signal Process. 90, 2723–2730 (2010)

    Article  Google Scholar 

  3. M.L. Bencheikn, Y. Wang, Joint DOD-DOA estimation using combined ESPRIT-MUSIC approach in MIMO radar. Electron. Lett. 46(15), 1081–1083 (2010)

    Article  Google Scholar 

  4. F. Barbaresco, P. Chevalier, Noncircularity exploitation in signal processing overview and application to radar, in Proceedings of the IET Waveform Diversity and Digital Radar Conference, London, UK (2008), pp. 1–6

  5. M.L. Bencheikh, Y. Wang, Non circular ESPRIT-Root-MUSIC joint DOD-DOA estimation in bistatic MIMO radar, in Proceeding of the 7th intarnational workshop on systems, signal processing and their application, Tipaze (2011), pp. 51–54

  6. D. Chen, B. Chen, G. Qin, Angle estimation using ESPRIT in MIMO radar. Electron. Lett. 44(12), 770–771 (2008)

    Article  Google Scholar 

  7. J. Chen, H. Gu, W. Sun, Angle estimation using ESPRIT without pairing in MIMO radar. Electron. Lett. 44(24), 1422–1423 (2008)

    Article  Google Scholar 

  8. P. Chargé, Y. Wang, J. Saillard, A non-circular sources direction finding methoding using polynomial rooting. Signal Process. 81, 1765–1770 (2001)

    Article  MATH  Google Scholar 

  9. J.P.C.L. da Costa, F. Roemer, M. Haardt, R.T. de Sousa Jr, Multi-dimensional model order selection. EURASIP J. Appl. Signal Process. 26(20), 1–13 (2011)

    Google Scholar 

  10. E. Fishler, A. Haimovich, R. Blum, D. Chizhik, L. Cimini, R. Valenzuela, MIMO radar: an idea whose time has come, in Proceedings of the IEEE radar Conference, Philadelphia, PA, USA (2004), pp. 71–78

  11. Y.D. Guo, Y.S. Zhang, N.N. Tong, Beamspace ESPRIT algorithm for bistatic MIMO radar. Electron. Lett. 47(15), 876–878 (2011)

    Article  Google Scholar 

  12. J.S. Goldstein, I.S. Reed, L.L. Scharf, A multistage representation of the Wiener filter based on orthogonal projections. IEEE Trans. Signal Process. 44(7), 2943–2959 (1998)

    MATH  MathSciNet  Google Scholar 

  13. A.M. Haimovich, R. Blum, L. Cimini, MIMO radar with widely separated antennas. IEEE Signal Process. Mag. 25(1), 116–129 (2008)

    Article  Google Scholar 

  14. L. Huang, S. Wu, D. Feng, L. Zhang, Computationally efficient direction of arrival estimation based on partital a priori knowledge of signal source. EURASIP J. Appl. Signal Process. 19514, 1–7 (2006)

    Article  Google Scholar 

  15. J. Li, P. Stoica, MIMO radar with colocated antennas. IEEE Signal Process. Mag. 24(5), 106–114 (2007)

    Article  Google Scholar 

  16. H. Yan, J. Li, G. Liao, Multitarget identification and localization using bistatic MIMO radar systems. EURASIP J. Adv. Signal Process. 2008, 283483 (2008)

    Article  Google Scholar 

  17. M.L. Yang, B.X. Chen, X.Y. Yang, Conjugate ESPRIT algorithm for bistatic MIMO radar. Electron. Lett. 26(25), 876–878 (2010)

    Google Scholar 

Download references

Acknowledgments

This work is supported by the New Century Excellent Talents Support Program (NCET-11-0287), the Fundamental Research runs for the Central Universities (HEUCFX-41308), China Postdoctoral Science Foundation Grant (2014M550182), Heilongjiang Postdoctoral Special Fund (LBH-TZ0410), and the Innovation of Science and Technology Talents in Harbin (2013RFXXJ016).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wei Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, X., Wang, W. & Xu, D. Low-complexity ESPRIT–Root-MUSIC Algorithm for Non-circular Source in Bistatic MIMO Radar. Circuits Syst Signal Process 34, 1265–1278 (2015). https://doi.org/10.1007/s00034-014-9896-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-014-9896-0

Keywords

Navigation