同步时钟偏差存在下的时差定位性能分析及改进的定位方法

doi:10.3969/j.issn.0372-2112.2018.06.001

电子学报 ›› 2018, Vol. 46 ›› Issue (6): 1281-1288.DOI: 10.3969/j.issn.0372-2112.2018.06.001

• 学术论文 • 下一篇

同步时钟偏差存在下的时差定位性能分析及改进的定位方法

王鼎^1,2, 尹洁昕^1,2, 刘瑞瑞^1,2, 张博龙³

1. 解放军信息工程大学信息系统工程学院, 河南郑州 450001;
2. 国家数字交换系统工程技术研究中心, 河南郑州 450001;
3. 军事经济学院, 湖北武汉 430035

收稿日期:2017-06-12 修回日期:2017-08-27 出版日期:2018-06-25
- 通讯作者:
- 尹洁昕
- 作者简介:
- 王鼎,男,1982年生于安徽芜湖,博士(后).现为解放军信息工程大学信息系统工程学院副教授.主要研究方向为无源定位和阵列信号处理.E-mail:wang_ding814@aliyun.com;刘瑞瑞,女,1992年生于新疆乌鲁木齐.现为解放军信息工程大学信息系统工程学院硕士研究生.主要研究方向为无源定位.E-mail:Liu_rr927@163.com;张博龙,男,1981年生于湖北武汉,博士.现为军事经济学院勤务指挥系讲师.主要研究方向为军事理论和军事通信.E-mail:476610727@qq.com
- 基金资助:
- 国家自然科学基金 (No.61201381，No.61401513，No.61772548）; 中国博士后科学基金 (No.2016M592989）; 信息工程大学优秀青年基金 (No.2016603201）; 信息工程大学自主创新课题 (No.2016600701）; 某部内科研项目 (No.2015201001，No.2015502801，No.2015205901）

Performance Analysis and Improvement for TDOA Source Localization in the Presence of Synchronization Clock Bias

WANG Ding^1,2, YIN Jie-xin^1,2, LIU Rui-rui^1,2, ZHANG Bo-long³

1. Institute of Information System Engineering, PLA Information Engineering University, Zhengzhou, Henan 450001, China;
2. National Digital Switching System Engineering & Technological Research Center, Zhengzhou, Henan 450002, China;
3. Military Economic Academy, Wuhan, Hubei 430035, China

Received:2017-06-12 Revised:2017-08-27 Online:2018-06-25 Published:2018-06-25

摘要/Abstract

摘要： 同步时钟偏差会显著增加时差（TDOA）定位误差，该文针对这一问题进行了理论性能分析，并提出了改进方法.首先，分析了时钟偏差存在下参数估计方差的克拉美罗界（CRB），给出了关于目标位置估计方差更为闭式的CRB表达式，随后基于最大似然（ML）估计准则和泰勒级数（TS）定位方法，定量推导了时钟偏差对于TDOA定位精度的影响.接着，提出了可抑制时钟偏差的降维TS定位方法，并且给出了时钟偏差的ML闭式解.最后，数值实验验证了文中理论分析的有效性，并且新方法可以有效抑制同步时钟偏差的影响.

关键词: 无源定位, 时差, 同步时钟偏差, 泰勒级数迭代, 克拉美罗界

Abstract: Synchronization clock bias can significantly increase the localization errors.In order to solve this problem,this paper presents theoretical analysis and the improved method.First,the Cramér-Rao bound(CRB) on the parameter estimation is shown in the presence of synchronization clock bias.A more compact CRB expression for the source position estimation is obtained.Based on the maximum likelihood(ML)criterion and the Taylor series(TS) localization method,an analytical expression for the mean square error(MSE) of the source position estimation is also derived when the estimator assumes the clock bias does not exist.Subsequently,the localization method based on dimension-reduction TS iteration is presented and the closed-form ML solution for the clock bias is also given.Finally,numerical experimental results support the validation of the theoretical analysis,and also demonstrate that the proposed method can mitigate the effects of clock bias.

Key words: passive location, time difference of arrival(TDOA), synchronization clock bias, Taylor series(TS)iteration, Cramér-Rao bound(CRB)

中图分类号:

TN911.7

王鼎, 尹洁昕, 刘瑞瑞, 张博龙. 同步时钟偏差存在下的时差定位性能分析及改进的定位方法[J]. 电子学报, 2018, 46(6): 1281-1288.

WANG Ding, YIN Jie-xin, LIU Rui-rui, ZHANG Bo-long. Performance Analysis and Improvement for TDOA Source Localization in the Presence of Synchronization Clock Bias[J]. Acta Electronica Sinica, 2018, 46(6): 1281-1288.

参考文献

[1] Zheng J,Wu Y C.Joint time synchronization and localization of an unknown node in wireless sensor networks[J].IEEE Transactions on Signal Processing,2010,58(3):1309-1320.
[2] Gholami M R,Gezici S,Strøm E G.TDOA based positioning in the presence of unknown clock skew[J].IEEE Transactions on Communications,2013,61(6):2522-2534.
[3] Ahmad A,Serpedin E,Nounou H,Nounou M.Joint node localization and time-varying clock synchronization in wireless sensor networks[J].IEEE Transactions on Wireless Communications,2013,12(10):5322-5333.
[4] Rui L Y,Ho K C.Algebraic solution for joint localization and synchronization of multiple sensor nodes in the presence of beacon uncertainties[J].IEEE Transactions on Wireless Communications,2014,13(9):5196-5210.
[5] Vaghefi R M,Buehrer R M.Cooperative joint synchronization and localization in wireless sensor networks[J].IEEE Transactions on Signal Processing,2015,58(3):1309-1320.
[6] Xiong H,Chen Z Y,Yang B Y,Ni R P.TDOA localization algorithm with compensation of clock offset for wireless sensor networks[J].China Communication,2015,12(10):193-201.
[7] Xiong H,Chen Z Y,An W,Yang B Y.Robust TDOA localization algorithm for asynchronous wireless sensor networks[J].International Journal of Distributed Sensor Networks,2015,2015(10):1-10.
[8] Wu X P,Gu Z H.A joint time synchronization and localization method without known clock parameters[J].Pervasive and Mobile Computing,2017,37(7):154-170.
[9] Xu E Y,Ding Zhi,Dasgupta S.Source localization in wireless sensor networks from signal time-of-arrival measurements[J].IEEE Transactions on Signal Processing,2011,59(6):2887-2897.
[10] Sun M,Yang L.On the joint time synchronization and source localization using TOA measurements[J].International Journal of Distributed Sensor Networks,2013,2013(1):177-182.
[11] Huang J,Xue Y,Yang L.An efficient closed-form solution for joint synchronization and localization using TOA[J].Future Generation Computer Systems,2013,29(3):776-781.
[12] Yan C,Fan H H.Asynchronous differential TDOA for non-GPS navigation using signals of opportunity[A].IEEE International Conference on Acoustics,Speech and Signal Processing[C].Las Vegas,Nevada,USA:IEEE,2008.5312-5315.
[13] Wang Y,Huang J,Yang L,Xue Y.TOA-based joint synchronization and source localization with random errors in sensor positions and sensor clock biases[J].Ad Hoc Networks,2015,27(C):99-111.
[14] Wang Y,Ho K C.TDOA source localization in the presence of synchronization clock bias and sensor position errors[J].IEEE Transactions on Signal Processing,2013,61(18):4532-4544.
[15] Chan Y T,Ho K C.A simple and efficient estimator by hyperbolic location[J].IEEE Transactions on Signal Processing,1994,42(4):1905-1915.
[16] Ho K C,Lu X,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.
[17] Kovavisaruch L,Ho K C.Modified Taylor-series method for source and receiver localization using TDOA measurements with erroneous receiver positions[A].IEEE International Symposium on Circuits and Systems[C].Kobe,Japan:IEEE,2005.2295-2298.

同步时钟偏差存在下的时差定位性能分析及改进的定位方法

Performance Analysis and Improvement for TDOA Source Localization in the Presence of Synchronization Clock Bias

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

[1]	刘清, 谢坚, 王伶, 王秋红, 张兆林. 卫星导航欺骗式干扰源高精度直接定位方法[J]. 电子学报, 2022, 50(5): 1117-1122.
[2]	仇洪冰, 周兰兰, 周陬, 顾宇, 狄城弘. 基于云模型的辐射源信号多站分选方法[J]. 电子学报, 2022, 50(10): 2469-2477.
[3]	苏志刚, 武瑞, 郝敬堂. 面向无源定位的直达波传感器识别算法[J]. 电子学报, 2021, 49(6): 1178-1186.
[4]	姜宏志, 赵闯, 胡德秀, 赵拥军, 赵勇胜, 刘智鑫. 基于时差多参的单脉冲信号实时配对分选[J]. 电子学报, 2021, 49(3): 566-572.
[5]	陈鑫, 王鼎, 唐涛, 尹洁昕, 吴瑛. 阵列模型误差条件下直接定位性能分析及偏差修正方法[J]. 电子学报, 2019, 47(8): 1633-1642.
[6]	徐诚, 何杰, 张晓彤, 姚翠, 段世红, 齐悦. IMU/TOA融合人体运动追踪性能评估方法[J]. 电子学报, 2019, 47(8): 1748-1754.
[7]	姚山峰, 欧阳鑫信, 贺青. 窄带跳频信号的无模糊时差估计算法[J]. 电子学报, 2019, 47(4): 798-805.
[8]	张彦奎, 王大鸣, 耿卫, 巴斌, 许海韵, 代正亮. 基于双向传播算子的互质面阵二维波达方向估计[J]. 电子学报, 2019, 47(3): 576-583.
[9]	余婉婷, 于宏毅, 杜剑平, 王鼎. 辐射源信号波形已知的超视距目标直接定位方法[J]. 电子学报, 2019, 47(11): 2368-2377.
[10]	朱建丰, 何新生, 郝本建. 基于双星TDOA和主星DOA的空中动目标联合定位技术[J]. 电子学报, 2018, 46(6): 1378-1383.
[11]	赵勇胜, 赵拥军, 赵闯. 基于双基地距离的多站多外辐射源无源定位算法[J]. 电子学报, 2018, 46(12): 2840-2847.
[12]	王鼎, 张瑞杰, 张涛. 一种阵列互耦影响下的目标直接定位算法及其理论性能分析[J]. 电子学报, 2017, 45(5): 1130-1138.
[13]	欧阳鑫信, 万群, 曹景敏, 熊瑾煜. 跳频信号的时差直接定位[J]. 电子学报, 2017, 45(4): 820-825.
[14]	王鼎, 张刚. 一种基于窄带信号多普勒频率测量的运动目标直接定位方法[J]. 电子学报, 2017, 45(3): 591-598.
[15]	王鼎, 吴志东, 尹洁昕. 信号波形已知条件下多目标直接定位性能分析及其改进算法[J]. 电子学报, 2017, 45(12): 2881-2889.