2-D DOA Estimation of Distributed Array with Single Snapshot
WANG Jun① XIANG Hong① WEI Shaoming① JIANG Hai②
①(School of Electronics and Information Engineering, Beihang University, Beijing 100191, China) ②(Key Laboratory of Space Physics, Beijing 100076, China)
Abstract:An algorithm of Direction Of Arrival (DOA) estimation based on the single-snapshot data is proposed for distributed Two-Dimensional (2-D) array. 2-D Hankle matrixes are firstly constructed using the single observation of every subarray element. Then angles of azimuth and elevation for different baselines based on the distributed 2-D array are estimated using 2-D state space balance method. Finally, high accuracy and unambiguous angles of azimuth and elevation are obtained through the solution of fuzzy algorithm. The matching problem of the DOA estimation about different baselines and the pairing problem between azimuth and elevation are well solved by the proposed algorithm, therefore the characteristic of large aperture is acquired using the distributed array. At the same time, this algorithm can deal with the correlation signals and uncorrelation signals. Computer simulation results confirm the effectiveness of the proposed algorithm.
KRIM H and VIBERG M. Two decades of array signal processing research: The parametric approach[J]. IEEE Signal Processing Magazine, 1996, 13(4): 67-94. doi: 10.1109/ 79.526899.
[2]
DONG Y Y, DONG C X, LIU W, et al. 2-D DOA estimation for L-shaped array with array aperture and snapshots extension techniques[J]. IEEE Signal Processing Letters, 2017, 24(4): 495-499. doi: 10.1109/LSP.2017.2676124.
[3]
BONACCI D, VINCENT F, and GIGLEUX B. Robust DOA estimation in case of multipath environment for a sense and avoid airborne radar[J]. IET Radar, Sonar & Navigation, 2017, 11(5): 797-801. doi: 10.1049/iet-rsn.2016.0446.
[4]
LEE J H, LEE J H, and WOO J M. Method for obtaining three and four-element array spacing for interferometer direction-finding system[J]. IEEE Antennas and Wireless Propagation Letters, 2016, 15: 897-900. doi: 10.1109/LAWP. 2015.2479224.
[5]
ZOLTOWSKI M D and WONG K T. Closed-form eigenstructure-based direction finding using arbitrary but identical subarrays on a sparse uniform cartesian array grid[J]. IEEE Transactions on Signal Processing, 2000, 48(8): 2205-2210. doi: 10.1109/78.852001.
[6]
CUOMO K M, COUTTS S, MCHARG J, et al. Wideband aperture coherence processing for next generation radar (nexgen)[R]. Lexington, MA USA, MIT Lincoln Laboratory, 2004.
LU Yaobing, GAO Hongwei, and ZHOU Baoliang. Distributed aperture coherence-synthetic radar technology[J]. Journal of Radars, 2017, 6(1): 55-64. doi: 10.12000/JR17014.
[8]
LEMMA A N, VEEN A J V D, and DEPRETTERE E F. Multiresolution ESPRIT algorithm[J]. IEEE Transactions on Signal Processing, 1999, 47(6): 1722-1726. doi: 10.1109/78. 765149.
[9]
VASYLYSHYN V I and GARKUSHA O A. Direction finding using sparse array composed of multiple identical subarrays [C]. 2005 5th International Conference on Antenna Theory and Techniques, Kyiv, Ukraine, 2005: 273-276.
MA Yan, CHEN Baixiao, YANG Minglei, et al. Multi- baseline distributed array DOA estimation using ESPRIT algorithm[J]. Systems Engineering and Electronics, 2014, 36(8): 1453-1459. doi: 10.3969/j.issn.1001-506X.2014.08.01.
[11]
MA Y, CHEN B X, YANG M L, et al. A novel ESPRIT-based algorithm for DOA estimation with distributed subarray antenna[J]. Circuits Systems and Signal Processing, 2015, 34(9): 2951-2972. doi: 10.1007/s00034-015-9987-6.
WANG Yu, YANG Minglei, and CHEN Baixiao. DOA estimation of distributed arrays based on multiple invariance MUSIC algorithm[J]. Modern Radar, 2014, 36(1): 25-29. doi: 10.16592/j.cnki.1004-7859.2014.01.009.
WANG Yi, CHEN Baixiao, YANG Minglei, et al. High accuracy DOA estimation using separated nested array[J]. Systems Engineering and Electronics, 2015, 37(2): 253-258. doi: 10.3969/j.issn.1001-506X.2015.02.04.
[14]
ZHENG G and CHEN B. Unitary dual-resolution ESPRIT for joint DOD and DOA estimation in bistatic MIMO radar [J]. Multidimensional Systems and Signal Processing, 2015, 26(1): 159-178. doi: 10.1007/s11045-013-0244-5.
[15]
LONG T, ZHANG H, ZENG T, et al. High accuracy unambiguous angle estimation using multi-scale combination in distributed coherent aperture radar[J]. IET Radar, Sonar & Navigation, 2017, 11(7): 1090-1098. doi: 10.1049/iet-rsn. 2016.0450.
CHEN Genhua, CHEN Baixiao, and YANG Minglei. High accuracy 2-D angle estimation using distributed coherent arrays[J]. Journal of Electronics & Information Technology, 2012, 34(11): 2621-2627. doi: 10.3724/SP.J.1146.2012.00043.
XIANG Hong, WANG Jun, WEI Shaoming, et al. DOA estimation of distributed array with single snapshot[J]. Journal of Electronics & Information Technology, 2016, 38(11): 2767-2773. doi: 10.11999/JEIT160093.
[18]
WANG J, XIANG H, WEI S, et al. Estimating direction of arrival by using two-dimensional state-space balance method [J]. International Journal of Antennas and Propagation, 2017, 2017: 4890203. doi: 10.1155/2017/4890203.
[19]
YILMAZER N, JINHWAN K, and SARKAR T K. Utilization of a unitary transform for efficient computation in the matrix pencil method to find the direction of arrival[J]. IEEE Transactions on Antennas and Propagation, 2006, 54(1): 175-181. doi: 10.1109/TAP.2005.861567.
[20]
DAVID J H. State-space approaches to ultra-wideband Doppler processing[D]. [Ph.D. dissertation], Worcester Polytechnic Institute, 2007.