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.
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References
I. Bekkerman, J. Tabrikian, Target detection and localization using MIMO radars and sonars. IEEE Trans. Signal Process. 54(10), 3873–3883 (2006)
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)
M.L. Bencheikn, Y. Wang, Joint DOD-DOA estimation using combined ESPRIT-MUSIC approach in MIMO radar. Electron. Lett. 46(15), 1081–1083 (2010)
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
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
D. Chen, B. Chen, G. Qin, Angle estimation using ESPRIT in MIMO radar. Electron. Lett. 44(12), 770–771 (2008)
J. Chen, H. Gu, W. Sun, Angle estimation using ESPRIT without pairing in MIMO radar. Electron. Lett. 44(24), 1422–1423 (2008)
P. Chargé, Y. Wang, J. Saillard, A non-circular sources direction finding methoding using polynomial rooting. Signal Process. 81, 1765–1770 (2001)
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)
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
Y.D. Guo, Y.S. Zhang, N.N. Tong, Beamspace ESPRIT algorithm for bistatic MIMO radar. Electron. Lett. 47(15), 876–878 (2011)
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)
A.M. Haimovich, R. Blum, L. Cimini, MIMO radar with widely separated antennas. IEEE Signal Process. Mag. 25(1), 116–129 (2008)
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)
J. Li, P. Stoica, MIMO radar with colocated antennas. IEEE Signal Process. Mag. 24(5), 106–114 (2007)
H. Yan, J. Li, G. Liao, Multitarget identification and localization using bistatic MIMO radar systems. EURASIP J. Adv. Signal Process. 2008, 283483 (2008)
M.L. Yang, B.X. Chen, X.Y. Yang, Conjugate ESPRIT algorithm for bistatic MIMO radar. Electron. Lett. 26(25), 876–878 (2010)
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).
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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
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DOI: https://doi.org/10.1007/s00034-014-9896-0