In this paper, a joint two dimensional (2D) direction of departure (DOD) and 2D direction of arrival (DOA) strictly noncircular (NC) unitary estimation of signal parameters via rotational invariance techniques (ESPRIT) method is proposed for an L-shaped bistatic multiple input multiple output (MIMO) radar. In the case that the incident signals are NC signals, we first utilize the received data vector and its conjugate counterparts to construct a new data vector, and then the unitary ESPRIT method is adopted to estimate the 2D-DODs and 2D-DOAs, which can automatically pair the four dimensional (4D) angle parameters. Simulation results are included to verify the effectiveness of the proposed algorithm.
2. Chintagunta, S. and P. Ponnusamy, "Spatial and polarization angle estimation of mixed-targets in MIMO radar," Progress In Electromagnetics Research M, Vol. 82, 49-59, 2019.
3. Wen, F., J. Shi, and Z. Zhang, "Joint 2D-DOD, 2D-DOA, and polarization angles estimation for bistatic EMVS-MIMO radar via PARAFAC analysis," IEEE Transactions on Vehicular Technology, Vol. 69, No. 2, 1626-1638, Feb. 2020.
4. Liu, S., J. Zhao, Z. Yuan, R. Zhou, M. Xiao, and C. Lu, "Localization for mixed near-field and far-field sources by interlaced nested array," Progress In Electromagnetics Research M, Vol. 82, 107-115, 2019.
5. Ciuonzo, D., G. Romano, and R. Solimene, "Performance analysis of time-reversal MUSIC," IEEE Trans. on Signal Process., , Vol. 63, No. 10, 2650-2662, May 2015.
6. Ciuonzo, D. and P. S. Rossi, "Noncolocated time-reversal MUSIC: High-SNR distribution of null spectrum," IEEE Signal Process. Lett., Vol. 24, No. 4, 397-401, Apr. 2017.
7. Ciuonzo, D., "On time-reversal imaging by statistical testing," IEEE Signal Process. Lett., Vol. 24, No. 7, 1024-1028, Jul. 2017.
8. Zhang, X., L. Xu, L. Xu, and D. Xu, "Direction of departure (DOD) and direction of arrival (DOA) estimation in MIMO radar with reduced-dimension MUSIC," IEEE Communications Letters, Vol. 14, No. 12, 1161-1163, Dec. 2010.
9. Duofang, C., C. Baixiao, and Q. Guodong, "Angle estimation using ESPRIT in MIMO radar," Electron. Lett., Vol. 44, No. 12, 770-771, Jun. 2008.
10. Xia, T. Q., "Joint diagonalization based DOD and DOA estimation for bistatic MIMO radar," Signal Process., Vol. 108, 159-166, 2015.
11. Zheng, G. M. and B. X. Chen, "Unitary dual-resolution ESPRIT for joint DOD and DOA estimation in bistatic MIMO radar," Multidimensional Systems and Signal Processing, Vol. 26, No. 1, 159-178, 2015.
12. Bencheikh, M. L. and Y. Wang, "Joint DOD-DOA estimation using combined ESPRIT-MUSIC approach in MIMO radar," Electronics Letters, Vol. 46, No. 15, 1081-1083, Jul. 2010.
13. Zheng, Z. D., J. Zhang, and J. Y. Zhang, "Joint DOD and DOA estimation of bistatic MIMO radar in the presence of unknown mutual coupling," Signal Process., Vol. 92, No. 12, 3039-3048, Dec. 2012.
14. Xia, T. Q., "Joint diagonalization based 2D-DOD and 2D-DOA estimation for bistatic MIMO radar," Signal Process., Vol. 116, 7-12, 2015.
15. Xu, L. Y., X. F. Zhang, Z. Z. Xu, X. W. Zeng, and F. Q. Yao, "Joint Doppler frequency, 2D-DOD and 2D-DOA estimation for bistatic MIMO radar in spatial coloured noise," IEEE Trans. on Signal Process., Vol. 102, 1007-1021, 2015.
16. Chen, H., W. Liu, W. P. Zhu, M. N. S. Swamy, and Q. Wang, "Mixed rectilinear sources localization under unknown mutual coupling," Journal of The Franklin Institute (Elsevier), Vol. 356, No. 4, 2372-2394, 2019.
17. Abeida, H. and J. P. Delmas, "Direct derivation of the stochastic CRB of DOA estimation for rectilinear source," IEEE Signal Process. Lett., Vol. 24, No. 10, 1522-1526, Oct. 2017.
18. Bencheikh, M. L. and Y. Wang, "Non circular ESPRIT-Root MUSIC joint DOA-DOD estimation in bistatic MIMO radar," International Workshop on Systems, Signal Processing and Their Applications, 9-11, 2011.
19. Zheng, G. M., J. Tang, and X. Yang, "ESPRIT and unitary ESPRIT algorithms for coexistence of circular and noncircular signals in bistatic MIMO radar," IEEE Access., Vol. 4, 7232-7240, 2016.
20. Guo, Y. D., Y. S. Zhang, J. Gong, and G. M. Zheng, "Direction finding with real-valued ESPRIT for noncircular signal in bistatic MIMO radar," Wireless Personal Communications, Vol. 95, No. 3, 3321-3332, 2017.
21. Chen, H., C. P. Hou, W. P. Zhu, W. Liu, Y. Y. Dong, Z. J. Peng, and Q. Wang, "ESPRIT-like two-dimensional direction finding for mixed circular and strictly noncircular sources based on joint diagonalization," Signal Processing, Vol. 141, 48-56, 2017.
22. Chen, H., W. F. Wang, and W. Liu, "Joint DOA, range, and polarization estimation for rectilinear sources with a COLD array," IEEE Wireless Communications Letters, Vol. 8, No. 5, 1398-1401, Sept. 2019.