volume | PIER Journals

Abstract

This paper derives its link of direction of arrival (DOA) and direction of departure (DOD) estimation problem for multi-input multi-output (MIMO) radar to the trilinear model. With the exploitation of this link, we present a trilinear decomposition-based blind algorithm for angle estimation in MIMO radar. After the algorithmic presentation and discussions for identifiability results, trilinear decomposition-based angle estimation under different array conditions has also been investigated. Our proposed algorithm works well without either spectral peak searching or pair matching, has better angle estimation performance than ESPRIT, and even supports small sampling sizes. Simulation trials testify that the merits of our algorithmic performance are in collaboration with theoretical findings.

1. Fishler, E., A. Haimovich, R. S. Blum, L. J. Cimini, D. Chizhik, and R. A. Valenzuela, "MIMO radar: An idea whose time has come," Proc. IEEE Radar Conf., 71-78, Apr. 2004.

2. Li, J. and P. Stoica, "MIMO radar --- Diversity means superiority," Proc. 14th Adaptive Sensor Array Process. Workshop (ASAP'06, Invited), MIT Lincoln Laboratory, Lexington, MA, Jun. 2006.

3. Fishler, E., A. Haimovich, R. S. Blum, et al. "Spatial diversity in radars models and detection performance," IEEE Trans. Signal Process., Vol. 54, No. 3, 823-838, 2006.
doi:10.1109/TSP.2005.862813

4. Fuhrmann, D. R. and G. S. Antonio, "Transmit beamforming for MIMO radar systems using partial signal correlation," Proc. 38th Asilomar Conf. on Signals, Systems and Comput., Vol. 102, 295-299, Nov. 2004.

5. Xu, L., J. Li, and P. Stoica, "Adaptive techniques for MIMO ," Proc. 4th Workshop on Sensor Array and Multichannel Signal Process., 258-262, Jul. 2006.

6. Robey, F. C., S. Coutts, D. D. Weikle, J. C. McHarg, and K. Cuomo, "MIMO radar theory and experimental results," Proc. 38th Asilomar Conf. Signals, Systems and Computers, Vol. 1, 300-304, Nov. 2004.

7. Li, J., P. Stoica, L. Xu, and W. Roberts, "On parameter identifiability of MIMO radar," IEEE Signal Process. Lett., Vol. 14, No. 12, 968-971, Dec. 2007.
doi:10.1109/LSP.2007.905051

8. Bekkerman, I. and J. Tabrikian, "Target detection and localization using MIMO radars and sonars," IEEE Trans. Signal Process., Vol. 5, No. 10, 3873-3883, Oct. 2006.
doi:10.1109/TSP.2006.879267

9. Xu, L., J. Li, and P. Stoica, "Target detection and parameter estimation for MIMO radar systems," IEEE Trans. Aeros. & Electro. Syst., Vol. 44, No. 3, 927-939, Jul. 2008.
doi:10.1109/TAES.2008.4655353

10. Duofang, C., C. Baixiao, and Q. Guodong, "Angle estimation using ESPRIT in MIMO radar," Electron. Lett., Vol. 44, No. 12, 770-771, 2008.
doi:10.1049/el:20080276

11. Jinli, C., G. Hong, and S. Weimin, "Angle estimation using ESPRIT without pairing in MIMO radar," Electron. Lett., Vol. 44, No. 24, 1422-1423, 2008.
doi:10.1049/el:20089089

12. Jin, M., G. Liao, and J. Li, "Joint DOD and DOA estimation for bistatic MIMO radarr," Signal Process., Vol. 89, No. 2, 244-251, 2009.
doi:10.1016/j.sigpro.2008.08.003

13. Kruskal, J. B., "Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics," Linear Algebra Applicat., Vol. 18, 95-138, 1977.
doi:10.1016/0024-3795(77)90069-6

14. De Lathauwer, L., B. De Moor, and J. Vandewalle, "Computation of the canonical decomposition by means of a simultaneous generalized schur decompositition," SIAM J. Matrix Anal. Appl., Vol. 26, No. 2, 295-327, 2004.
doi:10.1137/S089547980139786X

15. De Lathauwer, L., "A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization," SIAM J. Matrix Anal. Appl., Vol. 28, No. 3, 642-666, 2006.
doi:10.1137/040608830

16. Zhang, X., X. Gao, and Z. Wang, "Blind Paralind multiuser detection for smart antenna CDMA system over multipath fading channel," Progress In Electromagnetics Research, Vol. 89, 23-28, 2009.
doi:10.2528/PIER08112903

17. Sidiropoulos, N. D., G. B. Giannakis, and R. Bro, "Blind PARAFAC receivers for DS-CDMA systems," IEEE Trans. Signal Process., Vol. 48, No. 3, 810-823, Mar. 2000.
doi:10.1109/78.824675

18. Zhang, X. and D. Xu, "Blind PARAFAC signal detection for polarization sensitive array," Eurasip J. Adv. Signal Process., Vol. 2007, 1-7, 2007.

19. Sidiropoulos, N. D., R. Bro, and G. B. Giannakis, "Parallel factor analysis in sensor array processing," IEEE Trans. Signal Process., Vol. 48, No. 8, 2377-2388, Aug. 2000.
doi:10.1109/78.852018

20. Zhang, X., Y. Shi, and D. Xu, "Novel blind joint direction of arrival and polarization estimation for polarization-sensitive uniform circular array," Progress In Electromagnetics Research, Vol. 86, 19-37, 2008.
doi:10.2528/PIER08082302

21. Liu, X., N. D. Sidiropoulos, and A. Swami, "Blind high-resolution localization and tracking of multiple frequency hopped signals," IEEE Trans. Signal Process., Vol. 52, No. 4, 889-901, Apr. 2002.

22. Zhang, X. and D. Xu, "Novel joint time delay and frequency estimation method," IET Radar, Sonar & Navigation, Vol. 3, No. 2, 186-194, 2009.
doi:10.1049/iet-rsn:20080032

23. Vorobyov, S. A., Y. Rong, and N. D. Sidiropoulos, "Robust iterative fitting of multilinear models," IEEE Trans. Signal Process., Vol. 53, No. 8, 2678-2689, 8 2005.
doi:10.1109/TSP.2005.850343

24. Bro, R., N. D. Sidiropoulos, and G. B. Giannakis, "A fast least squares algorithm for separating trilinear mixtures," Proc. Inter. Workshop ICA and BSS, 289-294, Jan. 1999.

25. Sidiropoulos, N. D. and X. Liu, "Identifiability results for blind beamforming in incoherent multipath with small delay spread ," IEEE Trans. Signal Process., Vol. 49, No. 1, 228-236, Jan. 2001.
doi:10.1109/78.890366

26. Swindlehurst, A. L., P. Stoica, and M. Jansson, "Exploiting arrays with multiple invariances using MUSIC and MODE," IEEE Trans. Signal Process., Vol. 49, No. 11, 2511-2521, Nov. 2001.
doi:10.1109/78.960398

Prof. Xiaofei Zhang

Dr. Xin Gao

Dr. Gaopeng Feng

Professor Dazhuan Xu