传感器位置误差情况下基于多维标度分析的时差定位算法

doi:10.3969/j.issn.0372-2112.2016.01.004

电子学报 ›› 2016, Vol. 44 ›› Issue (1): 21-26.DOI: 10.3969/j.issn.0372-2112.2016.01.004

传感器位置误差情况下基于多维标度分析的时差定位算法

朱国辉¹, 冯大政¹, 聂卫科²

1. 西安电子科技大学雷达信号处理国家重点实验室, 陕西西安 710071;
2. 西北大学信息科学与技术学院, 陕西西安 710127

收稿日期:2014-07-28 修回日期:2015-05-12 出版日期:2016-01-25
- 作者简介:
- 朱国辉 男,1987年5月出生,河南驻马店人.2006年在吉林大学获理学学士学位.现为西安电子科技大学雷达信号处理国家重点实验室硕博连读生.主要从事无源定位、雷达信号处理等方面的研究. E-mail:zhugh@stu.xidian.edu.cn 冯大政 男,1959年12月出生,陕西安康人.教授,博士生导师,中国电子学会高级会员,美国IEEE 学会会员.现工作于西安电子科技大学雷达信号处理国家重点实验室,主要从事盲信号处理,机载雷达信号处理,MIMO雷达信号处理等方面的研究工作. E-mail:dzfeng@xidian.edu.cn
- 基金资助:
- 国家自然科学基金 (No.61271293,No.61373177)

Multidimensional Scaling Based TDOA Localization Algorithm with Sensor Location Errors

ZHU Guo-hui¹, FENG Da-zheng¹, NIE Wei-ke²

1. National Laboratory of Radar Signal Processing, Xidian University, Xi'an, Shaanxi 710071, China;
2. School of Information Science and Technology, Northwest University, Xi'an, Shaanxi 710127, China

Received:2014-07-28 Revised:2015-05-12 Online:2016-01-25 Published:2016-01-25
- Supported by:
- National Natural Science Foundation of China (No.61271293, No.61373177)

摘要/Abstract

摘要：

传统时差定位方法一般是在假设传感器位置信息准确已知的前提下进行的.然而在实际情形中,传感器位置信息往往含有随机误差,这些误差会严重影响对目标的定位精度.针对这一问题,提出了一种传感器位置误差情况下的多维标度时差定位算法.首先利用传感器位置和时差构造对称标量积矩阵,然后利用子空间理论建立关于目标位置的伪线性方程,最后通过设计加权矩阵来减少传感器位置误差对目标定位精度的影响.采用一阶小噪声扰动理论求出了目标位置估计的偏差及协方差矩阵,并通过仿真实验验证了该算法的有效性.

关键词: 无源定位, 到达时间差, 传感器位置误差, 多维标度分析, 加权最小二乘估计

Abstract:

Conventional location algorithms are based on the assumption that the sensor locations are exactly known.However, in practical situations, the sensor positions generally include random errors, which can considerably reduce the source localization accuracy.To tackle this problem, a multidimensional scaling analysis based time difference of arrival (TDOA) localization algorithm with sensor location errors is proposed.The proposed algorithm firstly constructs a symmetric matrix using the true sensor locations and TDOAs.Then a set of pseudo-linear equations with respect to the source position is formulated from the subspace theory.Finally, a weighting matrix is designed to mitigate the influence of the sensor location errors on the localization accuracy.The estimation bias and covariance matrix are derived by using first-order perturbation analysis.Simulation study validates the efficiency of the proposed algorithm.

Key words: passive location, time difference of arrival, sensor location errors, multidimensional scaling analysis, weighted least squares estimates

中图分类号:

TN911.7

朱国辉, 冯大政, 聂卫科. 传感器位置误差情况下基于多维标度分析的时差定位算法[J]. 电子学报, 2016, 44(1): 21-26.

ZHU Guo-hui, FENG Da-zheng, NIE Wei-ke . Multidimensional Scaling Based TDOA Localization Algorithm with Sensor Location Errors[J]. Acta Electronica Sinica, 2016, 44(1): 21-26.

参考文献

[1] 郝本建, 李赞, 等.基于TDOAs与GROAs的多信号源被动定位[J].电子学报, 2012, 40(12):2374-2381. Hao Ben-jian, Li Zan, et al.Passive multiple disjoint source localization using TDOAs and GROAs[J].Acta Electronica Sinica, 2012, 40(12):2374-2381.(in Chinese)
[2] Fluckiger M, Neild A, Nelson B J.Optimization of receiver arrangements for passive emitter localization methods[J].Ultrasonics, 2012, 52(3):447-455.
[3] Zhang H Q, Zhang Y G.A robust algorithm for multiple disjoint moving sources localization with erroneous sensor locations[J].Journal of Communications, 2013, 8(6):345-350.
[4] 田孝华, 廖桂生, 赵修斌, 等.面向CDMA蜂窝网的无线定位技术[J].电子学报, 2005, 33(12):2196-2203. Tian Xiao-hua, Liao Gui-sheng, Zhao Xiu-bin, et al.Wireless location technologies for CDMA cellular radio networks[J].Acta Electronica Sinica, 2005, 33(12):2196-2203.(in Chinese)
[5] Liu C F, Yang J, Wang F S.Joint TDOA and AOA location algorithm[J].Journal of Systems Engineering and Electronics, 2013, 24(2):183-188.
[6] Huang J, Xue Y B, Yang L.An efficient closed-form solution for joint synchronization and localization using TOA[J].Future Generation Computer Systems, 2013, 29 (3):776-781.
[7] 李万春, 魏平, 肖先赐.一种新的稳健的TDOA定位算法[J].电子与信息学报, 2006, 28(1):2019-2021. Li Wan-chun, Wei Ping, Xiao Xian-ci.A new robust method for TDOA location[J].Journal of Electronics & Information Technology, 2006, 28(1):2019-2021.(in Chinese)
[8] Foy W H.Position-location solution by Taylor-series estimation[J].IEEE Transactions on Aerospace and Electronic Systems, 1976, 12(2):187-194.
[9] Chan Y T, Ho K C.A simple and efficient estimator for hyperbolic location[J].IEEE Transactions on Signal Processing, 1994, 42(8):1905-1915.
[10] Chan Y T, Hang H Y C, Ching P C.Exact and approximate maximum likelihood localization algorithms[J].IEEE Transactions on Vehicular Technology, 2006, 55(1):10-16.
[11] Wei H W, Wan Q, Chen Z X, et al.Multidimensional scaling-based passive emitter localisation from range-difference measurements[J].IET Signal Processing, 2008, 2(4):415-423.
[12] 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.
[13] Weng Y, Xiao W D, Xie L H.Total least squares method for robust source localization in sensor networks using TDOA measurements[J].International Journal of Distributed Sensor Networks, 2011, Article ID 172902.
[14] Kovavisaruch L, Ho K C.Modified Taylor-series method for source and receiver localization using TDOA measurements with erroneous receiver positions[A].Proceedings of the IEEE International Symposium on Circuits and Systems[C].Kobe, Japan:IEEE Press, 2005.2295-2298.
[15] Yang L, Ho K C.An approximately efficient TDOA localization algorithm in closed-form for locating multiple disjoint sources with erroneous sensor positions[J].IEEE Transactions on Signal Processing, 2009, 57(12):4598-4615.
[16] Sun M, Ho K C.Refining inaccurate sensor positions using target at unknown location[J].Signal Processing, 2012, 92(9):2097-2104.
[17] M Sun, L Yang, K C Ho.Efficient joint source and sensor localization in closed-form[J].IEEE Signal Processing Letters, 2012, 19(7):399-402.
[18] Cheung K W, So H C.A multidimensional scaling framework for mobile location using time-of-arrival mea-surements[J].IEEE Transactions on Signal Processing, 2005, 53(2):460-469.
[19] Wei H W, Peng R, Wan Q, et al.Multidimensional scaling analysis for passive moving target localization with TDOA and FDOA measurements[J].IEEE Transactions on Signal Processing, 2010, 58(3):1677-1688.
[20] Stewart G W.Stochastic perturbation theory[J].SIAM review, 1990, 32(4):579-610.
[21] 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[J].IEEE Transactions on Signal Processing, 2011, 59(7):3434-3440.

传感器位置误差情况下基于多维标度分析的时差定位算法

Multidimensional Scaling Based TDOA Localization Algorithm with Sensor Location Errors

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]	苏林林, 陈亮, 陈菲菲, 周鑫, 焦振航, 刘钊良. 面向B5G/6G的GFDM信号高精度测距与定位研究[J]. 电子学报, 2022, 50(4): 849-859.
[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]	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.
[5]	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.
[6]	夏楠, 王珏, 李博. 基于粒子滤波和交互多模型的移动定位方法[J]. 电子学报, 2019, 47(1): 197-203.
[7]	闫雷兵, 陆音, 张业荣. 基于TOA/TDOA的一致性正交容积卡尔曼跟踪算法[J]. 电子学报, 2018, 46(8): 1989-1996.
[8]	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.
[9]	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.
[10]	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.
[11]	朱建丰, 陈玥, 郝本建, 牛刚, 万鹏武. 基于合成孔径阵列的雷达辐射源被动定位技术研究[J]. 电子学报, 2017, 45(10): 2332-2336.
[12]	曹景敏, 万群, 魏合文, 刘郁林. 目标海拔已知的信号到达幅度比无源定位方法[J]. 电子学报, 2016, 44(6): 1369-1375.
[13]	王鼎, 张瑞杰, 吴瑛. 无源定位观测方程的两类伪线性化方法及渐近最优闭式解[J]. 电子学报, 2015, 43(4): 722-729.
[14]	郝本建, 朱建峰, 李赞, 肖嵩, 关磊, 万鹏武. 基于TDOAs与FDOAs的多信号源及感知节点联合定位算法[J]. 电子学报, 2015, 43(10): 1888-1897.
[15]	郝本建, 李赞, 万鹏武, 司江勃, 齐佩汉, 关磊. 基于TDOA与GROA的信号源被动定位偏差消除技术[J]. 电子学报, 2014, 42(3): 477-484.