存在观测站位置误差的转发式时差无源定位
收稿日期: 2015-02-10
修回日期: 2015-07-18
网络出版日期: 2015-07-24
基金资助
国家"973"计划(6131812012);中央高校基本科研业务费专项资金(JDZD140503,JDYB140810)
Passive localization using retransmitted TDOA measurements in the presence of sensor position errors
Received date: 2015-02-10
Revised date: 2015-07-18
Online published: 2015-07-24
Supported by
National Basic Research Program of China(6131818012);Fundamental Research Funds for the Central Universities(JDZD140503,JDYB140810)
无源定位中,由于观测站安放在运动平台等原因造成的观测站位置误差会影响无源定位精度性能。另外到达时间差(简称时差)(TDOA)的转发式测量需要将不同观测站截获到的辐射源信号都转发到同一位置,如主观测站。针对这两个问题,提出了基于约束总体最小二乘(CTLS)的无源定位算法。首先将转发式时差的非线性定位方程转化为不需要中间变量的直接线性方程,再基于CTLS算法依次转化为约束优化问题和无约束优化问题,最后推导给出定位近似闭式解。仿真实验表明在观测站误差较大时,该算法与其他算法相比定位精度性能较好。
关键词： 无源定位; 到达时间差(TDOA); 观测站位置误差; 约束总体最小二乘(CTLS); 近似闭式解
朱颖童 , 董春曦 , 刘松杨 , 董阳阳 , 赵国庆 . 存在观测站位置误差的转发式时差无源定位[J]. 航空学报, 2016 , 37(2) : 706 -716 . DOI: 10.7527/S1000-6893.2015.0203
Location sensors placed in the motion platform may result in position error, which will affect the performance of passive positioning accuracy. Retransmitted measurement of the time difference of arrival(TDOA) needs to transmit emitter signal intercepted by different sensors to the same location, such as the main sensor. For these two issues, a passive location algorithm is proposed based on constrained total least squares(CTLS). First, the nonlinear equation using retransmitted TDOA is converted to a direct linear equation without intermediate variables. Then, the direct linear equation is transformed into a constrained optimization problem and unconstrained optimization problems based on CTLS algorithm. A quasi-closed-form solution to the passive location is derived. Simulations prove that the proposed algorithm achieves better location accuracy than the previous algorithms in the case of higher sensor position error.
[1] 赵国庆. 雷达对抗原理[M]. 第2版. 西安:西安电子科技大学出版社, 2012:9-11, 82-84. ZHAO G Q. Principle of radar countermeasure[M]. 2nd ed. Xi'an:Xidian University Press, 2012:9-11, 82-84(in Chinese).
[2] 胡来招. 无源定位[M]. 北京:国防工业出版社, 2005:150-161. HU L Z. Passive locating[M]. Beijing:National Defence Industry Press, 2005:150-161(in Chinese).
[3] RICHARD A P. Electronic warfare target location methods[M]. London:Artech House, 2005:140-146.
[4] 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[J]. IEEE Transactions on Signal Processing, 2007, 55(2):684-696.
[5] MA Z H, HO K C. TOA localization in the presence of random sensor position errors[C]//IEEE International Conference on Acoustics, Speech and Signal Processing(ICASSP). Piscataway, NJ:IEEE Press, 2011:2468-2471.
[6] HO K C. Bias reduction for an explicit solution of source localization using TDOA[J]. IEEE Transactions on Signal Processing, 2012, 60(5):2101-2114.
[7] 陈少昌, 贺慧英, 禹华钢. 传感器位置误差条件下的约束总体最小二乘时差定位算法[J]. 航空学报, 2013, 34(5):1165-1173. CHEN S C, HE H Y, YU H G. Constrained total least-squares for source localization using TDOA measurements in the presence of sensor position errors[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(5):1165-1173(in Chinese).
[8] 曹亚陆, 彭力. 一种考虑传感器位置误差的改进源定位算法[J]. 航空学报, 2014, 35(7):1992-1998. CAO Y L, PENG L. An improved source localization algorithm in presence of sensor location errors[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(7):1992-1998(in Chinese).
[9] QU F Y, MENG X W. Source localization using TDOA and FDOA measurements based on constrained total least squares algorithm[J]. Journal of Electronics & Information Technology, 2014, 36(5):1075-1081(in Chinese). 曲付勇, 孟祥伟. 基于约束总体最小二乘方法的到达时差到达频差无源定位算法[J]. 电子信息学报, 2014, 36(5):1075-1081.
[10] BAKHOUM E G. Closed-form solution of hyperbolic geolocation equations[J]. IEEE Transactions on Aerospace and Electronic Systems, 2006, 42(4):1396-1404.
[11] 徐征, 曲长文, 骆卉子. 无需中间变量的多运动站时差定位新算法[J]. 航空学报, 2014, 35(6):1665-1672. XU Z, QU C W, LUO H Z. Novel multiple moving observers TDOA localization algorithm without introducing intermediate variable[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(6):1665-1672(in Chinese).
[12] 徐征, 曲长文, 王昌海, 等. 一种基于最小化广义Rayleigh商的无源定位算法研究[J]. 电子学报, 2012,40(12):2446-2450. XU Z, QU C W, WANG C H, et al. Research on a passive localization algorithm based on minimizing the generalized rayleigh quotient[J]. Acta Electronica Sinica, 2012, 40(12):2446-2450(in Chinese).
[13] 徐征, 曲长文, 王昌海. 系统误差条件下的多运动站无源定位性能分析[J]. 航空学报, 2013, 34(4):629-635. XU Z, QU C W, WANG C H. Performance analysis for multiple moving observers passive localization in the presence of systematic errors[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(4):629-635(in Chinese).
[14] WANG D, ZHANG L, WU Y. Constrained total least squares algorithm for passive location based on bearing-only measurements[J]. Science China Series F:Information Sciences, 2007, 50(4):576-586
[15] LI W C, WEI P, XIA X C. A robust TDOA-based location method and its performance analysis[J]. Science China Series F:Information Sciences, 2009, 52(5):876-882.
[16] LIN L, SO H C, CHAN F K, et al. A new constrained weighted least squares algorithm for TDOA-based localization[J]. Signal Processing, 2013, 93(11):2872-2878.
[17] 杨洁, 刘聪锋. 迭代频差定位算法及其性能分析[J]. 西安电子科技大学学报, 2013, 40(5):8-14. YANG J, LIU C F. Iteration FDOA location algorithm and its performance analysis[J]. Journal of Xidian University, 2013, 40(5):8-14(in Chinese).
[18] 何友, 修建娟, 唐小明, 等. 基于时差信息的超视距目标定位与跟踪[J]. 电子学报, 2003, 31(12):1917-1920. HE Y, XIU J J, TANG X M, et al. Location and tracking of the over-the-horizon target on TDOA[J]. Acta Electronica Sinica, 2003, 31(12):1917-1920(in Chinese).
[19] 谭志, 张卉. 无线传感器网络RSSI定位算法的研究与改进[J]. 北京邮电大学学报, 2013, 36(3):88-91, 107. TAN Z, ZHANG H. A modified mobile location algorithm based on RSSI[J]. Journal of Beijing University of Posts and Telecommunications, 2013, 36(3):88-91, 107(in Chinese).
[20] 张贤达. 矩阵分析与应用[M]. 第2版. 北京:清华大学出版社, 2013:447-448. ZHANG X D. Matrix analysis and applications[M]. 2nd ed. Beijing:Tsinghua University Press, 2013:447-448(in Chinese).
/
| 〈 |
|
〉 |
CJA