联合角度和时差的单站无源相干定位加权最小二乘算法

赵勇胜; 赵拥军; 赵闯

doi:10.12000/JR15133

联合角度和时差的单站无源相干定位加权最小二乘算法

doi: 10.12000/JR15133

(解放军信息工程大学导航与空天目标工程学院郑州 450001)

基金项目:

国家高技术研究发展计划(2012AA7031015), 国家自然科学基金(61401469, 41301481, 61501513)

详细信息

作者简介:
赵勇胜(1990–),男,江苏连云港人,现为解放军信息工程大学导航与空天目标工程学院硕士研究生。研究方向为无源定位。E-mail:zhaoyongshengtg@163.com;赵拥军(1964–),男,河南封丘人,现为解放军信息工程大学导航与空天目标工程学院教授,博士生导师,中国电子学会高级会员,《电子测量与仪器学报》编委。研究方向为雷达信号与信息处理、自适应阵列信号处理。E-mail:zhaoyongjuntg@126.com;赵闯(1978–),男,河北辛集人,现为解放军信息工程大学导航与空天目标工程学院副教授,博士。研究方向为雷达信号处理。E-mail:rushzhaotg@163.com

通讯作者:
赵勇胜zhaoyongshengtg@163.com

计量
- 文章访问数: 2877
- HTML全文浏览量: 660
- PDF下载量: 1217
- 被引次数: 0
出版历程
- 收稿日期: 2015-12-28
- 修回日期: 2016-02-01
- 网络出版日期: 2016-06-28

Weighted Least Squares Algorithm for Single-observer Passive Coherent Location Using DOA and TDOA Measurements

(School of Navigation and Aerospace Engineering, PLA Information Engineering University Zhengzhou, 450001, China)

Funds:

The National High Technology Research and Development Program of China (2012AA7031015), The National Natural Science Foundation of China (61401469, 41301481, 61501513)

摘要

摘要: 针对利用单个观测站接收多个外辐射源信号从而实现对目标定位的单站无源相干定位问题, 该文提出了一种联合角度和时差的加权最小二乘定位算法。首先, 将角度和时差的观测方程线性化处理, 考虑方程中的各项误差, 将定位问题建立为加权最小二乘模型。然后利用迭代方法对模型求解。最后, 对算法的定位性能进行了理论分析。仿真结果表明, 不同于仅时差定位方法至少需要3个外辐射源才能定位, 联合角度和时差定位方法仅需一个外辐射源即可定位, 且在同样数量外辐射源条件下估计精度高于仅时差定位；算法的均方误差低于最小二乘算法, 在时差测量噪声较大时定位精度仍然能逼近克拉美罗界。此外, 对系统几何精度因子图的分析表明, 目标及辐射源的位置对定位精度也有重要影响。
- 角度 /
- 时差 /
- 无源定位 /
- 外辐射源 /
- 加权最小二乘
Abstract: In order to determine single-observer passive coherent locations using illuminators of opportunity, we propose a jointing angle and Time Difference Of Arrival (TDOA) Weighted Least Squares (WLS) location method. First, we linearize the DOA and TDOA measurement equations. We establish the localization problem as the WLS optimization model by considering the errors in the location equations. Then, we iteratively solve the WLS optimization. Finally, we conduct a performance analysis of the proposed method. Simulation results show that, unlike the TDOA-only method, which needs at least three illuminators to locate a target, the jointing DOA and TDOA method requires only one illuminator. It also has a higher localization accuracy than the TDOA-only method when using the same number of illuminators. The proposed method yields a lower mean square error than the least squares algorithm, which makes it possible to approach the Cramr-Rao lower bound at a relatively high TDOA noise level. Moreover, on the basis of the geometric dilution of precision, we conclude that the positions of the target and illuminators are also important factors affecting the localization accuracy.
- Difference Of Arrival (DOA) /
- Time Difference Of Arrival (TDOA) /
- Passive location /
- Illuminator of opportunity /
- Weighted Least Squares (WLS)

HTML全文

参考文献(22)

[1]	Liu Jun, Li Hong-bin, and Himed B. On the performance of the cross-correlation detector for passive radar applications[J]. Signal Processing, 2015, 113: 32-37.
[2]	曲付勇, 孟祥伟. 基于约束总体最小二乘方法的到达时差到达频差无源定位算法[J]. 电子与信息学报, 2014, 36(5): 1075-1081. Qu Fu-yong and Meng Xiang-wei. Source localization using TDOA and FDOA measurements based on constrained total least squares algorithm[J]. Journal of Electronics Information Technology, 2014, 36(5): 1075-1081.
[3]	Subedi S, Zhang Y D, Amin M G, et al.. Motion parameter estimation of multiple ground moving targets in multi-static passive radar systems[J]. EURASIP Journal on Advances in Signal Processing, 2014, 2014: 157.
[4]	Palmer J, Palumbo S, Summers A, et al.. An overview of an illuminator of opportunity passive radar research project and its signal processing research directions[J]. Digital Signal Processing, 2011, 21(5): 593-599.
[5]	Ansari F and Taban M R. Clutter and direct signal cancellation in analog TV-based passive radar[J]. Journal of Radar, 2014, 1(2): 1-14.
[6]	You Jun, Wan Xian-rong, Fu Yan, et al.. Experimental study of polarisation technique on multi-FM-based passive radar[J]. IET Radar, Sonar Navigation, 2015, 9(7): 763-771.
[7]	Michael E, Alexander S, and Folker M. Design and performance evaluation of a mature FM/DAB/DVB-T multi-illuminator passive radar system[J]. IET Radar, Sonar Navigation, 2014, 8(2): 114-122.
[8]	Zemmari R, Broetje M, Battistello G, et al.. GSM passive coherent location system: performance prediction and measurement evaluation[J]. IET Radar, Sonar Navigation, 2014, 8(2): 94-105.
[9]	Falcone P, Colone F, Macera A, et al.. Two-dimensional location of moving targets within local areas using WiFi-based multistatic passive radar[J]. IET Radar, Sonar Navigation, 2014, 8(2): 123-131.
[10]	Weiss A J. On the accuracy of a cellular location system based on RSS measurement[J]. IEEE Transactions on Vehicular Technology, 2003, 52(6): 1508-1518.
[11]	Zhong Yu, Wu Xiao-yan, and Huang Cai-shu. Geometric dilution of precision for bearing-only passive location in three-dimensional space[J]. Electronics Letters, 2015, 51(6): 518-519.
[12]	Wu Pan-long, Li Xing-xiu, Zhang Lian-zheng, et al.. Passive location using TDOA measurements from compass satellite illuminators[J]. Asian Journal of Control, 2015, 17(2): 722-728.
[13]	Gaber A and Omar A. A study of wireless indoor positioning based on joint TDOA and DOA estimation using 2-D matrix pencil algorithms and IEEE 802.11ac[J]. IEEE Transactions on Wireless Communications, 2015, 14(5): 2440-2454.
[14]	李红伟. 外辐射源雷达目标定位与跟踪方法研究[D]. [博士论文], 西安电子科技大学, 2012: 15-39. Li Hong-wei. Studies on target localization and tracking in passive coherent location radar[D]. [Ph.D. dissertation], Xidian University, 2012: 15-39.
[15]	Ho K C, Lu Xiao-ning, and Kovavisaruch L. Source localization using TDOA and FDOA measurements in the presence of receiver location errors: analysis and solution[J]. IEEE Transactions on Signal Processing, 2007, 55(2): 684-696.
[16]	Lin Lanxin, So H C, Chan F K W, et al.. A new constrained weighted least squares algorithm for TDOA-based localization[J]. Signal Processing, 2013, 93(11): 2872-2878.
[17]	Yang Kai, An Jian-ping, Bu Xiang-yuan, et al.. Constrained total least-squares location algorithm using time-difference-of-arrival measurements[J]. IEEE Transactions on Vehicular Technology, 2010, 59(3): 1558-1562.
[18]	Norouzi Y and Derakhshani M. Joint time difference of arrival/angle of arrival position finding in passive radar[J]. IET Radar, Sonar Navigation, 2009, 3(2): 167-176.
[19]	Li Wan-chun, Wei Ping, and Xiao Xian-ci. A robust TDOA-based location method and its performance analysis[J]. Science in China Series F: Information Sciences, 2009, 52(5): 876-882.
[20]	He You, Zhang Cai-sheng, Tang Xiao-ming, et al.. Coherent integration loss due to pulses loss and phase modulation in passive bistatic radar[J]. Digital Signal Processing, 2013, 23(4): 1265-1276.
[21]	梁浩, 崔琛, 代林, 等. 基于ESPRIT算法的L型阵列MIMO雷达降维DOA估计[J]. 电子与信息学报, 2015, 37(8): 1828-1835. Liang Hao, Cui Chen, Dai Lin, et al.. Reduced-dimensional DOA estimation based on ESPRIT algorithm in MIMO radar with L-shaped array[J]. Journal of Electronics Information Technology, 2015, 37(8): 1828-1835.
[22]	Li Jing, Zhao Yong-jun, and Li Dong-hai. Passive multipath time delay estimation using MCMC methods[J]. Circuits, Systems, and Signal Processing, 2015, 34(12): 3897-3913.