A novel algorithm is proposed for Two-Dimensional (2D) Direction Of Arrival (DOA) estimation issue with L-shaped array. By introducing an auxiliary electrical angle, 2D-DOA estimation problem is solved by two-step 1D-DOA estimation. Firstly auxiliary electrical angle estimation is given by a propagator based RAnk Reduction Estimator (RARE). Then a cost function about one incident angle is obtained, and the incident angle estimation is given by K zeros of polynomial relating to the cost function. Finally, The other incident angle estimation is given by simple algebraic operation between the obtained auxiliary electrical angle and incident angle estimations. Computational burden analysis is given in this paper. It is shown that the proposed algorithm has a roughly same computational burden with JEADE algorithm, while both of them has larger burden than CODE and root-MUSIC algorithms. Further, the Root-Mean-Square-Error (RMSE) expressions of the incident angle estimates are derived to validate the performance of the proposed algorithm.
Tayem N and Kwon H M. L-shape 2-dimensional arrival angle estimation with Propagator Method[J]. IEEE Transactions on Antennas and Propagation, 2005, 53(5): 1622-1630.
Dong Yi, Wu Yun-tao, and Liao Gui-sheng. A novel method for estimating 2-D DOA[J]. Journal of Xidian University, 2003, 30(5): 569-573.
[3]
Gu Jian-feng and Wei Ping. Joint SVD of two cross-correlation matrices to achieve automatic pairing in 2-D angle estimation problems[J]. IEEE Antennas and Wireless Propagation Letters, 2007, 6: 553-556.
[4]
Han Hui-lian and Zhao Pin-jiao. A two-dimensional direction finding estimation with L-shape uniform linear arrays[C]. IMSNA 2013 Proceedings, Toronto, 2013: 779-782.
[5]
Liang Jun-li and Liu Ding. Joint elevation and azimuth direction finding using L-shaped array[J]. IEEE Transactions on Antennas and Propagation, 2010, 58(6): 2136-2141.
[6]
Shahida G Q and Fan Yang-yu. A comment on “Joint elevation and Azimuth direction finding using L-shaped array”[J]. IEEE Transactions on Antennas and Propagation, 2012, 60(7): 3546-3547.
[7]
Wang Guang-ming, Xin Jing-min, Zheng Nan-ning, et al.. Computationally efficient subspace-based method for two-dimensional direction estimation with L-shaped array[J]. IEEE Transactions on Signal Processing, 2011, 59(7): 3197-3212.
[8]
Wang Guang-ming, Xin Jing-min, Zheng Nan-ning, et al.. Computationally efficient method for joint azimuth-elevation direction estimation with L-shaped array[C]. IEEE Workshop on Signal Processing Advances in Wireless Communications, Darmstadt, 2013: 470-474.
[9]
Nie Xi and Li Li-ping. A computationally efficient subspace algorithm for 2-D DOA estimation with L-shaped array[J]. IEEE Signal Processing Letters, 2014, 21(8): 971-974.
[10]
Hou Hui-juan, Sheng Ge-hao, and Jiang Xiu-chen. Localization algorithm for the PD source in substation based on L-shaped antenna array signal processing[J]. IEEE Transactions on Power Delivery, 2015, 30(1): 472-479.
Wu Biao, Chen Hui, and Yang Chun-hua. Study of DOA estimation and self-calibration algorithm for L-shaped array in the presence of mutual coupling[J]. Acta Electornica Sinica, 2010, 38(6): 1316-1322.
[12]
Dai Jin-sheng, Bao Xu, Hu Nan, et al.. A recursive RARE algorithm for DOA estimation with unknown mutual coupling[J]. IEEE Antennas and Wireless Propagation Letters, 2014, 13: 1593-1596.
Wu Biao, Chen Hui, and Hu Xiao-qin. Simultaneous estimation of mutual coupling matrix and DOA for Y-shaped array[J]. Journal on Communications, 2010, 31(6): 119-126.
Dang Xiao-fang, Chen Bai-xiao, and Yang Ming-lei. High accuracy direction finding based on root-RARE using distributed non-identical subarray antenna[J]. Systems Engineering and Electronics, 2014, 36(6): 1027-1032.
Liu Liang, Tao Jian-wu, and Huang Jia-cai. Near-field source localization based on sparse symmetric array[J]. Acta Electornica Sinica, 2009, 37(6): 1307-1312.
[16]
Barabell A J. Improving the resolution performance of eigenstructure-based direction-finding algorithms[C]. IEEE International Conference on Acoustics, Speech, and Signal Processing, Boston, MA, 1983, 1: 336-339.
[17]
Marcos S, Marsal A, and Benidir M. The propagator method for sources bearing estimation[J]. Signal Processing, 1995, 42(2): 121-138.
[18]
Gao F and Gershman A B. A generalized ESPRIT approach to direction-of-arrival estimation[J]. IEEE Signal Processing Letters, 2005, 12(3): 254-257.
[19]
Xia Tie-qi, Zheng Yi, Wan Qun, et al.. Decoupled estimation of 2-D angles of arrival using two parallel uniform linear arrays[J]. IEEE Transactions on Antennas and Propagation, 2007, 55(9): 2627-2632.
[20]
Meng Samson See C and Gershman A B. Direction-of-arrival estimation in partly calibrated subarray-based sensor arrays[J]. IEEE Transactions on Signal Processing, 2004, 52(2): 329-338.