一种同步时钟偏差和传感器位置误差存在下的TDOA定位新方法  

A novel method for TDOA localization in presence of synchronization clock bias and sensor position uncertainty

作　　者：王鼎 尹洁昕 高路 杨宾 WANG Ding;YIN Jiexin;GAO Lu;YANG Bin(Institute of Information System Engineering,PLA Strategic Support Force Information Engineering University,Zhengzhou 450001,China;National Digital Switching System Engineering and Technology Research Center,Zhengzhou 450002,China;Beijing Institute of Space Long March Vehicle,Beijing 100076,China)

机构地区：[1]中国人民解放军战略支援部队信息工程大学信息系统工程学院,郑州450001 [2]国家数字交换系统工程技术研究中心,郑州450002 [3]北京航天长征飞行器研究所,北京100076

出　　处：《航空学报》2022年第7期313-334,共22页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(62071029,61772548,61901526);河南省科技攻关项目(192102210092);战略支援部队信息工程大学科研发展基金(F4108,F4109)。

摘　　要：同步时钟偏差和传感器位置误差会严重影响到达时间差(TDOA)定位性能。针对此问题,基于加权多维标度(WMDS)原理,提出一种能够有效抑制这2类误差影响的TDOA定位新方法。该方法首先通过构造消元矩阵消除同步时钟偏差的影响;然后基于加权多维标度分析方法构建定位关系式,并由此获得辐射源位置与传感器位置的估计值;最后利用最大似然估计准则得到同步时钟偏差的估计值。所提方法利用标量积矩阵的维度和特征结构信息,对各类误差具有更强的鲁棒性。文中的理论性能分析表明:新方法对全部参数的估计均方误差(MSE)均能逼近相应的克拉美罗下界(CRLB)。仿真实验验证了新方法的渐近统计最优性,并且相比于已有方法,其发生“门限效应”的误差阈值更高。Synchronous clock bias and sensor position uncertainty seriously affect Time Difference of Arrival(TDOA) positioning performance. To solve this problem, based on the principle of Weighted MultiDimensional Scaling(WMDS), this paper proposes a novel TDOA location method, which can effectively restrain the influence of these two kinds of errors. First, an elimination matrix is constructed to mitigate the effect of clock offset. Subsequently, the location relationship is formed based on the WMDS approach, and the estimation results of the locations of the emitter and the sensors are obtained. Finally, the synchronization clock bias is determined based on the criterion of the maximum likelihood estimator. The proposed method makes use of the dimension and eigenstructure information of the scalar product matrix, and thus has stronger robustness to all kinds of errors. A theoretical performance analysis shows that the Mean Square Error(MSE) of the proposed estimator for all the unknowns can reach the corresponding Cramér-Rao Lower Bound(CRLB). Simulation results verify that the new estimator is asymptotically efficient, and its threshold effect occurs later than that of some existing TDOA localization methods.

关 键 词：辐射源定位 到达时间差(TDOA) 加权多维标度(WMDS) 同步时钟偏差 传感器位置误差 

分 类 号：V247[航空宇航科学与技术—飞行器设计] TN97[电子电信—信号与信息处理]