Efficient closed-form solution for target localization using TDOA measurements in the presence of sensor position errors

doi:10.1016/S1005-8885(17)60217-6

中国邮电高校学报(英文版) ›› 2017, Vol. 24 ›› Issue (4): 1-9.doi: 10.1016/S1005-8885(17)60217-6

• Wireless • 下一篇

Efficient closed-form solution for target localization using TDOA measurements in the presence of sensor position errors

闫雷兵¹,张业荣²,陆音¹

1. 南京邮电大学
2. 南京邮电大学通信与信息工程学院

收稿日期:2017-02-26 修回日期:2017-06-06 出版日期:2017-08-30 发布日期:2017-08-30
通讯作者: 闫雷兵 E-mail:yleibing@126.com
基金资助:
LTE系统定位技术及其在无线资源指配中的应用研究

Efficient closed-form solution for target localization using TDOA measurements in the presence of sensor position errors

Received:2017-02-26 Revised:2017-06-06 Online:2017-08-30 Published:2017-08-30
Contact: Lei-Bing Yan E-mail:yleibing@126.com

摘要/Abstract

摘要： An efficient solution for locating a target was proposed, which by using time difference of arrival (TDOA) measurements in the presence of random sensor position errors to increase the accuracy of estimation. The cause of position estimation errors in two-stage weighted least squares (TSWLS) method is analyzed to develop a simple and effective method for improving the localization performance. Specifically, the reference sensor is selected again and the coordinate system is rotated according to preliminary estimated target position by using TSWLS method, and the final position estimation of the target is obtained by using weighted least squares (WLS). The proposed approach exhibits a closed-form and is as efficient as TSWLS method. Simulation results show that the proposed approach yields low estimation bias and improved robustness with increasing sensor position errors and thus can easily achieve the Cramer-Rao lower bound (CRLB) easily and effectively improve the localization accuracy.

关键词: target localization, TDOA, sensor position errors, CRLB

Abstract: An efficient solution for locating a target was proposed, which by using time difference of arrival (TDOA) measurements in the presence of random sensor position errors to increase the accuracy of estimation. The cause of position estimation errors in two-stage weighted least squares (TSWLS) method is analyzed to develop a simple and effective method for improving the localization performance. Specifically, the reference sensor is selected again and the coordinate system is rotated according to preliminary estimated target position by using TSWLS method, and the final position estimation of the target is obtained by using weighted least squares (WLS). The proposed approach exhibits a closed-form and is as efficient as TSWLS method. Simulation results show that the proposed approach yields low estimation bias and improved robustness with increasing sensor position errors and thus can easily achieve the Cramer-Rao lower bound (CRLB) easily and effectively improve the localization accuracy.

Key words: target localization, TDOA, sensor position errors, CRLB

参考文献

1. Patwari N, Ash J N, Kyperountas S, et al. Locating the nodes: cooperative location in wireless sensor networks. IEEE Signal Processing Magazine, 2005, 22(4): 54-69

2. Yu H G, Huang G M, Gao J, et al. An efficient constrained weighted least squares algorithm for moving source location using TDOA and FDOA measurements. IEEE Transactions on Wireless Communications, 2012, 11(1): 44-47

3. Bai Y, Hao R M, An J, et al. Location-aided and secure routing protocol for heterogeneous multi-hop wireless networks. Journal of China Universities of Posts and Telecommunications, 2016, 23(1):49-54

4. Wang G, Li Y M, Ansari N. A semidefinite relaxation method for source location using TDOA and FDOA measurements. IEEE Transactions on Vehicular Technology, 2013, 62(2): 853-862

5. Liao B, Zhang Z G, Chan S C. DOA estimation and tracking of ULAs with mutual coupling. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(1): 891-905

6. Qi Y H, Kobayashi H, Suda H. Analysis of wireless geolocation in a non-line-of-sight environment. IEEE Transactions on Wireless Communications, 2006, 5(3): 672-681

7. Chan Y T, Ho K C. A simple and efficient estimator for hyperbolic location. IEEE Transactions on Signal Processing, 1994, 42(8): 1905-1915

8. Yang L, Ho K C. An approximately efficient TDOA localization algorithm in closed-form for locating multiple disjoint sources with erroneous sensor positions. IEEE Transactions on Signal Processing, 2009, 57(12): 4598-4615

9. Ho K C, Lu X N, Kovavisaruch L. Source localization using TDOA and FDOA measurements in the presence of receiver location errors: analysis and solution. IEEE Transactions on Signal Processing, 2007, 55(2): 684-696

10. Sun M, Ho K C. An asymptotically efficient estimator for TDOA and FDOA positioning of multiple disjoint sources in the presence of sensor location uncertainties. IEEE Transactions on Signal Processing, 2011, 59(7): 3434-3440

11. Yang L, Ho K C. Alleviating sensor position error in source localization using calibration emitters at inaccurate locations. IEEE Transactions on Signal Processing, 2010, 58(1): 67-83

12. Li J Z, Guo F C, Yang L, et al. On the use of calibration sensors in source localization using TDOA and FDOA measurements. Digital Signal Processing, 2014, 27(1): 33-43

13. Qiao J Y. Two problems in the value distribution theory. Actta Math Sinica (N), 1995, 11(4): 365-371

Efficient closed-form solution for target localization using TDOA measurements in the presence of sensor position errors

Efficient closed-form solution for target localization using TDOA measurements in the presence of sensor position errors

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

编辑推荐

Metrics

本文评价