基于秩减估计器的L型阵列二维波达角估计算法

魏子翔; 崔嵬; 侯建刚; 吴嗣亮

doi:10.11999/JEIT141538

基于秩减估计器的L型阵列二维波达角估计算法

doi: 10.11999/JEIT141538

基金项目:

上海航天科技基金(SAST201215)和新世纪优秀人才支持计划(NCET-13-0034)

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出版历程
- 收稿日期: 2014-12-04
- 修回日期: 2015-03-23
- 刊出日期: 2015-08-19

Rank Reduction Estimator Based Algorithm for Estimating 2D-DOA with L-shaped Array

摘要

摘要: 针对L型阵列2维波达角(2D-DOA)估计问题，该文提出了一种新的基于秩减估计器的算法。该算法利用辅助角将2D-DOA估计问题转换为两个级联的1D-DOA估计问题：首先采用基于传播算子的秩减估计器获得高精度的辅助角估计；其次利用辅助角估计结果获得某一入射角的一元代价函数，借鉴root-MUSIC算法通过对多项式求根获得某一入射角估计，而另一入射角估计可由已得角度估计和辅助角估计通过简单转换获得且两入射角之间无需配对。运算量分析表明，该算法运算量与JEADE算法接近，大于CODE和root-MUSIC算法。仿真实验验证了该算法在不同信噪比、快拍数目条件下可获得高精度的DOA估计结果。
- 信号处理 /
- L型阵列 /
- 2维波达角 /
- 秩减估计器 /
- 传播算子算法
Abstract: 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.
- Signal processing /
- L-shaped array /
- Two-Dimensional Direction Of Arrival (2D-DOA) /
- RAnk Reduction Estimator (RARE) /
- Propagator Method (PM)

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参考文献(25)

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.

董轶, 吴云韬, 廖桂生. 一种二维到达方向估计的ESPRIT 新方法[J]. 西安电子科技大学学报, 2003, 30(5): 569-573.

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.

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.

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.

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.

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.

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): 31973212.

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.

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): 971974.

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): 472479.

吴彪, 陈辉, 杨春华. 基于L型阵列的方位估计及互耦自校正算法研究[J]. 电子学报, 2010, 38(6): 13161322.

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.

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.

吴彪, 陈辉, 胡晓琴. 基于Y 型阵的互耦矩阵与DOA 的同时估计方法[J]. 通信学报, 2010, 31(6): 119-126.

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.

党晓方, 陈伯孝, 杨明磊. 基于root-RARE算法的非同构分布式阵列高精度方向估计[J]. 系统工程与电子技术, 2014, 36(6): 1027-1032.

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.

刘亮, 陶建武, 黄家才. 基于稀疏对称阵列的近场源定位[J]. 电子学报, 2009, 37(6): 1307-1312.

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.

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: 336339.

Marcos S, Marsal A, and Benidir M. The propagator method for sources bearing estimation[J]. Signal Processing, 1995, 42(2): 121138.

Gao F and Gershman A B. A generalized ESPRIT approach to direction-of-arrival estimation[J]. IEEE Signal Processing Letters, 2005, 12(3): 254257.

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.

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): 329338.

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