传感器位置误差下外辐射源雷达三维定位代数解算法

左燕; 周夏磊; 蒋陶然

doi:10.11999/JEIT190292

引用本文: 左燕, 周夏磊, 蒋陶然. 传感器位置误差下外辐射源雷达三维定位代数解算法[J]. 电子与信息学报, doi: 10.11999/JEIT190292 shu

Citation: Yan ZUO, Xialei ZHOU, Taoran JIANG. Algebraic Solution for 3D Localization of Multistatic Passive Radar in the Presence of Sensor Position Errors[J]. Journal of Electronics and Information Technology, doi: 10.11999/JEIT190292 shu

传感器位置误差下外辐射源雷达三维定位代数解算法

杭州电子科技大学自动化学院杭州 310018

作者简介: 左燕: 女，1980年生，博士，副教授，研究方向为无源定位、智能信息处理和信息融合;
周夏磊: 男，1995年生，硕士生，研究方向为无源定位;
蒋陶然: 男，1995年生，硕士生，研究方向为无源定位

通讯作者: 左燕,leftswallow@163.com

基金项目: 国家自然科学基金 (61673146, 61973102)，浙江省自然科学基金 (LY16F030009)

摘要: 机载外辐射源雷达系统中，部署在飞机上的观测站传感器位置无法精确获知，观测站位置误差将严重影响目标定位精度。对此，该文提出一种观测站位置误差下多基外辐射源雷达3维定位代数解算法。该算法首先利用辅助变量将非线性双基距离和差(BRD)观测方程进行线性化，构造伪线性目标估计模型。然后将观测站位置量测噪声的统计特性融入定位算法，提出一种改进两步加权最小二乘(TS-WLS)算法实现观测站位置误差下外辐射源雷达目标定位。最后推导了克拉美罗下界(CRLB)和算法的理论误差。仿真结果显示，在适中的BRD量测误差和观测站位置误差下，所提算法的目标定位性能能够达到CRLB。

关键词:

English

Algebraic Solution for 3D Localization of Multistatic Passive Radar in the Presence of Sensor Position Errors

School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China

Corresponding author: Yan ZUO,leftswallow@163.com

Received Date: 2019-04-29
Available Online: 2019-01-01
Fund Project: The National Natural Science Foundation of China (61673146, 61973102)，Zhejiang Provincial Natural Science Foundation (LY16F030009)

Abstract: An observer is placed on the airborne in the multistatic passive radar localization system. The error in observer position may seriously affect the localization accuracy. An algebraic closed-form solution is proposed for 3D localization of multistatic passive radar in the presence of sensor position errors. Firstly, the nonlinear Bistatic Range Difference (BRD) measurement equations are linearized by proper additional parameters and a pseudo-linear estimation model is given accordingly. Then a modified Two-Step Weighted Least Squares (TS-WLS) algorithm is developed with considering the statistic characteristics of the observer position measurement noises. Finally the Cramer-Rao Lower Bound (CRLB) and the theoretical error of the algorithm are derived. Simulation results show that the proposed algorithm can achieve the CRLB in a moderate level of noises.

Key words:

Multistatic passive radar
/ Sensor position error
/ Bistatic Range Difference (BRD)
/ Two-Step Weighted Least Squares (TS-WLS)

1. [1]
  LIU Jun, LI Hongbin, and HIMED B. On the performance of the cross-correlation detector for passive radar applications[J]. Signal Processing, 2015, 113: 32–37. doi: 10.1016/j.sigpro.2015.01.006
2. [2]
  INGGS M, TONG C, NADJIASNGAR R, et al. Planning and design phases of a commensal radar system in the FM broadcast band[J]. IEEE Aerospace and Electronic Systems Magazine, 2014, 29(7): 50–63. doi: 10.1109/MAES.2014.130165
3. [3]
  CHOI S, CROUSE D, WILLETT P, et al. Multistatic target tracking for passive radar in a DAB/DVB network: Initiation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(3): 2460–2469. doi: 10.1109/TAES.2015.130270
4. [4]
  GASSIER G, CHABRIEL G, BARRÈRE J, et al. A unifying approach for disturbance cancellation and target detection in passive radar using OFDM[J]. IEEE Transactions on Signal Processing, 2016, 64(22): 5959–5971. doi: 10.1109/TSP.2016.2600511
5. [5]
  王鼎, 魏帅. 基于外辐射源的约束总体最小二乘定位算法及其理论性能分析[J]. 中国科学: 信息科学, 2015, 45(11): 1466–1489. doi: 10.1360/N112014-00397
  WANG Ding and WEI Shuai. The constrained-total-least-squares localization algorithm and performance analysis based on an external illuminator[J]. SCIENTIA SINICA Informationis, 2015, 45(11): 1466–1489. doi: 10.1360/N112014-00397
6. [6]
  MALANOWSKI M and KULPA K. Two methods for target localization in multistatic passive radar[J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(1): 572–580. doi: 10.1109/TAES.2012.6129656
7. [7]
  NOROOZI A and SEBT M A. Target localization in multistatic passive radar using SVD approach for eliminating the nuisance parameters[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(4): 1660–1671. doi: 10.1109/TAES.2017.2669558
8. [8]
  CHAN Y T and HO K C. A simple and efficient estimator for hyperbolic location[J]. IEEE Transactions on Signal Processing, 1994, 42(8): 1905–1915. doi: 10.1109/78.301830
9. [9]
  WANG Yue and 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. doi: 10.1109/TSP.2013.2271750
10. [10]
  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]. 电子与信息学报, 2014, 36(5): 1075–1081. doi: 10.3724/SP.J.1146.2013.01019
  QU Fuyong and MENG Xiangwei. 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. doi: 10.3724/SP.J.1146.2013.01019
11. [11]
  GODRICH H, HAIMOVICH A M, and BLUM R S. Target localization accuracy gain in MIMO radar-based systems[J]. IEEE Transactions on Information Theory, 2010, 56(6): 2783–2803. doi: 10.1109/tit.2010.2046246
12. [12]
  ALAM M and JAMIL K. Maximum likelihood (ML) based localization algorithm for multi-static passive radar using range-only measurements[C]. Proceedings of 2015 IEEE Radar Conference, Johannesburg, South Africa, 2015: 180–184. doi: 10.1109/RadarConf.2015.7411876.
13. [13]
  NOROOZI A and SEBT M A. Target localization from bistatic range measurements in multi-transmitter multi-receiver passive radar[J]. IEEE Signal Processing Letters, 2015, 22(12): 2445–2449. doi: 10.1109/LSP.2015.2491961
14. [14]
  NOROOZI A and SEBT M A. Weighted least squares target location estimation in multi-transmitter multi-receiver passive radar using bistatic range measurements[J]. IET Radar, Sonar & Navigation, 2016, 10(6): 1088–1097. doi: 10.1049/iet-rsn.2015.0446
15. [15]
  AMIRI R, BEHNIA F, and ZAMANI H. Asymptotically efficient target localization from bistatic range measurements in distributed MIMO radars[J]. IEEE Signal Processing Letters, 2017, 24(3): 299–303. doi: 10.1109/LSP.2017.2660545
16. [16]
  AMIRI R and BEHNIA F. An efficient weighted least squares estimator for elliptic localization in distributed MIMO radars[J]. IEEE Signal Processing Letters, 2017, 24(6): 902–906. doi: 10.1109/LSP.2017.2697500
17. [17]
  NOROOZI A, OVEIS A H, and SEBT M A. Iterative target localization in distributed MIMO radar from bistatic range measurements[J]. IEEE Signal Processing Letters, 2017, 24(11): 1709–1713. doi: 10.1109/LSP.2017.2747479
18. [18]
  AMIRI R, BEHNIA F, and SADR M A M. Exact solution for elliptic localization in distributed MIMO radar systems[J]. IEEE Transactions on Vehicular Technology, 2018, 67(2): 1075–1086. doi: 10.1109/TVT.2017.2762631
19. [19]
  赵勇胜, 赵拥军, 赵闯, 等. 一种新的分布式MIMO雷达系统运动目标定位代数解算法[J]. 电子与信息学报, 2018, 40(3): 548–556. doi: 10.11999/JEIT170510
  ZHAO Yongsheng, ZHAO Yongjun, ZHAO Chuang, et al. New algebraic algorithm for moving target localization in distributed MIMO radar systems[J]. Journal of Electronics &Information Technology, 2018, 40(3): 548–556. doi: 10.11999/JEIT170510
20. [20]
  ZHAO Yongsheng, ZHAO Yongjun, and ZHAO Chuang. A novel algebraic solution for moving target localization in multi-transmitter multi-receiver passive radar[J]. Signal Processing, 2018, 143: 303–310. doi: 10.1016/j.sigpro.2017.09.014
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  李瑞, 张群, 苏令华, 梁佳, 罗迎. 基于稀疏贝叶斯学习的双基雷达关联成像. 电子与信息学报,
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图 1 单站外辐射源雷达3维定位场景图

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图 2 不同BRD量测误差下目标定位CRLB

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图 3 不同观测站位置误差下目标定位CRLB

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图 4 不同外辐射源个数M下近场目标定位CRLB

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图 5 不同外辐射源个数M下远场目标定位CRLB

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图 6 不同BRD量测误差下定位算法估计性能

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图 7 不同观测站位置误差下定位算法估计性能

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