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

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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)

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参考文献(22)

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