一种利用MIMO雷达的CWLS目标定位算法

doi:10.19665/j.issn1001-2400.2019.01.020

摘要/Abstract

摘要：

针对分布式多进多出雷达,提出了一种基于时延测量值的约束加权最小二乘定位算法。该方法通过引入目标到参考站的距离这一变量,将目标定位方程进行了伪线性化处理,并构建出代价函数;随后,进一步挖掘出该变量与目标位置的关系,并将其作为约束条件;最后,将非线性的目标定位问题转化为带二次约束的二次规划问题,通过采用拉格朗日乘子算法求得目标定位的闭合解。仿真结果表明,所提出的算法在相对较高噪声的情况下仍然能够达到克拉美罗界,具有较强的抗噪性。

关键词: 多进多出雷达, 目标定位, 时延, 约束加权最小二乘

Abstract:

For the separated MIMO radar system, a constrained weighted least squares algorithm is proposed by using time delay measurements. By introducing the variable which is the distance between the target and the reference station, the target location equation is pseudolinearized and the cost function is derived. And then, by further study, the relationship between the variable and the target position is explored and used as the constraint condition. Finally, the problem of locating the target is transformed from the nonlinear equation into the quadratic program problems with quadratic constraints, and by use of the Lagrange multiplier method, the target position is solved in a closed-form. Simulation results verify that the proposed algorithm can attain the Cramer-Rao Lower Bound in a relatively high level of noise and that it is robust.

Key words: multiple-input multiple-output radar, target localization, time delay, constrained weighted least squares

中图分类号:

TN97

周成,满欣,周志文. 一种利用MIMO雷达的CWLS目标定位算法[J]. 西安电子科技大学学报, 2019, 46(1): 124-129.

ZHOU Cheng,MAN Xin,ZHOU Zhiwen. Constrained weighted least squares algorithm based on the MIMO radar system for target localization[J]. Journal of Xidian University, 2019, 46(1): 124-129.

图/表 6

图1

表1

图2

图3

图4

图5

参考文献 14

[1]	AMIRI R, ZAMANI H, BEHNIA F , et al. Sparsity-aware Target Localization Using TDOA/AOA Measurements in Distributed MIMO Radars[J]. ICT Express, 2016,2(1):23-27. doi: 10.1016/j.icte.2016.02.002
[2]	项喆, 陈伯孝, 杨明磊 . 频率分集雷达最优频率间隔选择方法[J]. 西安电子科技大学学报, 2017,44(4):12-17. doi: 10.3969/j.issn.1001-2400.2017.04.003
	XIANG Zhe, CHEN Baixiao, YANG Minglei . Frequency Increment Optimization Method for Frequency Diverse Radar[J]. Journal of Xidian University, 2017,44(4):12-17. doi: 10.3969/j.issn.1001-2400.2017.04.003
[3]	LIANG J, LEUNG C S, SO H C . Lagrange Programming Neural Network Approach for Target Localization in Distributed MIMO Radar[J]. IEEE Transactions on Signal Processing, 2016,64(6):1574-1585. doi: 10.1109/TSP.2015.2500881
[4]	LI W C, TANG Q, HUANG C F , et al. Location Algorithms for Moving Target in Non-coherent Distributed Multiple-input Multiple-output Radar Systems[J]. IET Signal Processing, 2017,11(5):504-514. doi: 10.1049/iet-spr.2016.0323
[5]	AMIRI R, BEHNIA F, MALEKI SADR M A . Positioning in MIMO Radars Based on Constrained Least Squares Estimation[J]. IEEE Communications Letters, 2017,21(10):2222-2225. doi: 10.1109/lcomm.2017.2724541
[6]	ZAMANI H, AMIRI R, BEHNIA F. Compressive Sensing for Elliptic Localization in MIMO Radars [C]//Proceedings of the 2016 24th Iranian Conference on Electrical Engineering. Piscataway: IEEE, 2016: 525-528.
[7]	AMIRI R, BEHNIA F . An Efficient Weighted Least Squares Estimator for Elliptic Localization in Distributed MIMO Radars[J]. IEEE Signal Processing Letters, 2017,24(6):902-906. doi: 10.1109/LSP.2017.2697500
[8]	GODRICH H, HAIMOVICH A M, BLUM R S . Target Localization Accuracy Gain in MIMO Radar-based Systems[J]. IEEE Transactions on Information Theory, 2010,56(6):2783-2803. doi: 10.1109/TIT.2010.2046246
[9]	DIANAT M, TABAN M R, DIANAT J , et al. Target Localization Using Least Squares Estimation for MIMO Radars with Widely Separated Antennas[J]. IEEE Transactions on Aerospace and Electronic Systems, 2013,49(4):2730-2741. doi: 10.1109/TAES.2013.6621849
[10]	KAY S M . Fundamentals of Statistical Signal Processing: Estimation Theory[M]. New Jork: Prentice-Hall, 1993: 20-30.
[11]	DU Y, WEI P . An Explicit Solution for Target Localization in Noncoherent Distributed MIMO Radar Systems[J]. IEEE Signal Processing Letters, 2014,21(9):1093-1097. doi: 10.1109/LSP.2014.2325999
[12]	李明强, 郭田德, 韩丛英 . 等式约束二次规划问题的新的梯度投影算法(英文)[J]. 中国科学院大学学报, 2018,35(3):289-296.
	LI Mingqiang, GUO Tiande, HAN Congying . New Project Gradient Methods for Quadratic Programming with Linear Equality Constraints[J]. Journal of University of Chinese Academy of Sciences, 2018,35(3):289-296.
[13]	YU H G, HUANG G M, GAO J , et al. Practical Constrained Least-square Algorithm for Moving Source Location Using TDOA and FDOA Measurements[J]. Journal of Systems Engineering and Electronics, 2012,23(4):488-494. doi: 10.1109/JSEE.2012.00062
[14]	HE Q, BLUM R S, HAIMOVICH A M . Noncoherent MIMO Radar for Location and Velocity Estimation: More Antennas Means Better Performance[J]. IEEE Transactions on Signal Processing, 2010,58(7):3661-3680. doi: 10.1109/TSP.2010.2044613

发射站	x_i	y_i	z_i	接收站	x_j	y_j	z_j
1	-450	-450	200	1	-200	-300	200
2	450	450	100	2	-200	300	100
3	0	600	200	3	200	300	80
4	600	0	100	4	200	-300	120
5	-600	0	150	5	0	0	100
6	0	-600	100	6	350	-400	130

[1]	张文柱,曹琲琲,余静华. 移动边缘计算中一种多用户计算卸载方法[J]. 西安电子科技大学学报, 2020, 47(6): 131-138.
[2]	张萌,李卓,邢莉娟. 加权和码辅助的极化码SCL译码算法[J]. 西安电子科技大学学报, 2020, 47(6): 66-71.
[3]	张彦飞,孙文杰,孙玉梅,孟祥伟,陈祥光. 非高斯杂波中机载多进多出雷达动目标检测[J]. 西安电子科技大学学报, 2020, 47(3): 23-31.
[4]	田强,冯大政,胡豪爽. 一种TOA联合同步与定位的CWLS算法[J]. 西安电子科技大学学报, 2019, 46(5): 1-7.
[5]	田强,冯大政,李进,胡豪爽. 一种利用声音能量的两步SDR定位算法[J]. 西安电子科技大学学报, 2019, 46(4): 16-21.
[6]	简鑫,王芳,宋健,方伟,蒋欣,曾孝平,谭晓衡. 多信道S-ALOHA功率攀升机制的性能分析[J]. 西安电子科技大学学报, 2019, 46(3): 59-64.
[7]	王洪雁,乔恵娇,裴炳南. MIMO雷达空时编码和接收权联合稳健设计[J]. 西安电子科技大学学报, 2019, 46(2): 69-77.
[8]	齐小刚, 袁列萍, 刘立芳. 误差修正的声源目标混合定位算法[J]. 西安电子科技大学学报, 2019, 46(1): 1-7.
[9]	张文柱, 曹琲琲, 孔维鹏. 联合优化时延与能效的移动终端计算迁移方法[J]. 西安电子科技大学学报, 2018, 45(6): 63-68+111.
[10]	齐小刚, 马久龙, 刘立芳. 保证高可靠度和低传输开销的DTN拓扑控制[J]. 西安电子科技大学学报, 2018, 45(5): 7-12.
[11]	李钊;贾文浩;白玉娇. 全局公平的自适应比例公平调度[J]. 西安电子科技大学学报, 2018, 45(1): 6-11+22.
[12]	邢天璋;谢彬彬;杨康;汤战勇;房鼎益. 一种利用无线信号的被动式多目标定位系统[J]. 西安电子科技大学学报, 2018, 45(1): 93-98.
[13]	高会生;方子希. PTN时分复用业务的时延抖动分析模型[J]. 西安电子科技大学学报, 2017, 44(6): 85-91+143.
[14]	芦存博;肖嵩;权磊;薛晓. 一种编码感知路由低时延数据传输算法[J]. 西安电子科技大学学报, 2016, 43(4): 17-22+146.
[15]	杨鹏;李祥攀;刘豆 . LTE中增强视频业务QoS的时延感知调度算法 [J]. J4, 2015, 42(2): 140-145.