volume | PIER Journals

Abstract

This paper investigates an angle of arrival (AOA) and polarization joint estimation algorithm for an L-shaped electromagnetic vector sensor array based on rank-(L, L, 1) block component decomposition (BCD) tensor modeling. The proposed algorithm can take full advantage of the multidimensional information of electromagnetic signal to obtain the parameter estimation more accurately than the matrix-based method and the existing tensor decomposition method. In addition, the algorithm can accomplish pair-matching of estimated parameters automatically. The numerical experiments demonstrate that even under the conditions of low SNR and limited snapshots, the proposed algorithm can still steadily achieve high detection probability with low estimation error, which is important for practical applications.

1. Nehorai, A. and E. Paldi, "Vector-sensor array processing for electromagnetic source localization," IEEE Trans. Signal Process., Vol. 42, No. 2, 376-398, Feb. 1994.
doi:10.1109/78.275610 Google Scholar

2. Tan, K.-C., K.-C. Ho, and A. Nehorai, "Linear independence of steering vectors of an electromagnetic vector sensor," IEEE Trans. Signal Process., Vol. 44, No. 12, 3099-3107, Dec. 1996.
doi:10.1109/78.553483 Google Scholar

3. Wong, K. T. and M. D. Zoltowski, "Uni-vector-sensor esprit for multisource azimuth, elevation, and polarization estimation," IEEE Trans. Antennas Propag., Vol. 45, No. 10, 1467-1474, 1997.
doi:10.1109/8.633852 Google Scholar

4. Cichocki, A., D. Mandic, L. De Lathauwer, G. Zhou, Q. Zhao, C. Caiafa, and H. A. Phan, "Tensor decompositions for signal processing applications: From two-way to multiway component analysis," IEEE Signal Process. Mag., Vol. 32, No. 2, 145-163, 2015.
doi:10.1109/MSP.2013.2297439 Google Scholar

5. 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, 2000.
doi:10.1109/78.852018 Google Scholar

6. Gao, Y.-F., L. Zou, and Q. Wan, "A two-dimensional arrival angles estimation for L-shaped array based on tensor decomposition," AEU Int. J. Electron. Commun., Vol. 69, No. 4, 736-744, 2015.
doi:10.1016/j.aeue.2015.01.001 Google Scholar

7. Miron, S., X. Guo, and D. Brie, "DOA estimation for polarized sources on a vector-sensor array by parafac decomposition of the fourth-order covariance tensor," 16th European Signal Processing Conference, 1-5, Aug. 2008. Google Scholar

8. Guo, X., S. Miron, D. Brie, S. Zhu, and X. Liao, "A candecomp/parafac perspective on uniqueness of DOA estimation using a vector sensor array," IEEE Trans. Signal Process., Vol. 59, No. 7, 3475-3481, Jul. 2011. Google Scholar

9. Forster, P., G. Ginolhac, and M. Boizard, "Derivation of the theoretical performance of a tensor music algorithm," Signal Process., Vol. 129, 97-105, 2016.
doi:10.1016/j.sigpro.2016.05.033 Google Scholar

10. Stegeman, A., "Candecomp/Parafac: From diverging components to a decomposition in block terms," SIAM J. Matrix Anal. Appl., Vol. 33, No. 2, 209-215, 2012.
doi:10.1137/110825327 Google Scholar

11. De Lathauwer, L., "Decompositions of a higher-order tensor in block terms - Part ii: Definitions and uniqueness," SIAM J. Matrix Anal. Appl., Vol. 30, No. 3, 1033-1066, 2008.
doi:10.1137/070690729 Google Scholar

12. De Lathauwer, L. and D. Nion, "Decompositions of a higher-order tensor in block terms - Part iii: Alternating least squares algorithms," SIAM J. Matrix Anal. Appl., Vol. 30, No. 3, 1067-1083, 2008.
doi:10.1137/070690730 Google Scholar

13. De Lathauwer, L., "Blind separation of exponential polynomials and the decomposition of a tensor in rank-(l r,l r,1) terms," SIAM J. Matrix Anal. Appl., Vol. 32, No. 4, 1451-1474, 2011.
doi:10.1137/100805510 Google Scholar

14. Zhao, Q., C. F. Caiafa, D. P. Mandic, Z. C. Chao, Y. Nagasaka, N. Fujii, L. Zhang, and A. Cichocki, "Higher order partial least squares (hopls): A generalized multilinear regression method," IEEE Trans. Pattern Anal. Mach. Intell., Vol. 35, No. 7, 1660-1673, 2013.
doi:10.1109/TPAMI.2012.254 Google Scholar

15. Nie, X. and P. Wei, "Array aperture extension algorithm for 2-d DOA estimation with L-shaped array," Progress In Electromagnetics Research Letters, Vol. 52, 63-69, 2015.
doi:10.2528/PIERL15011502 Google Scholar

16. Comon, P., X. Luciani, and A. L. De Almeida, "Tensor decompositions, alternating least squares and other tales," J. Chemom., Vol. 23, No. 7-8, 393-405, 2009.
doi:10.1002/cem.1236 Google Scholar

17. Sorber, L., M. Van Barel, and L. De Lathauwer, "Optimization-based algorithms for tensor decompositions: Canonical polyadic decomposition, decomposition in rank-(l r,l r,1) terms, and a new generalization," SIAM J. Optim., Vol. 23, No. 2, 695-720, 2013.
doi:10.1137/120868323 Google Scholar

18. Miron, S., N. Le Bihan, and J. I. Mars, "Vector-sensor music for polarized seismic sources localization," EURASIP J. Adv. Signal Process., Vol. 2005, No. 1, 1-11, 2005.
doi:10.1155/ASP.2005.74 Google Scholar

19. Zhang, X. and D. Xu, "Deterministic blind beamforming for electromagnetic vector sensor array," Progress In Electromagnetics Research, Vol. 84, 363-377, 2008.
doi:10.2528/PIER08080402 Google Scholar

Dr. Yu-Fei Gao

Dr. Qun Wan