基于观测站精确距离信息的多站时差定位方法

doi:10.12305/j.issn.1001-506X.2024.08.07

系统工程与电子技术 ›› 2024, Vol. 46 ›› Issue (8): 2592-2599.doi: 10.12305/j.issn.1001-506X.2024.08.07

• 电子技术 • 上一篇

基于观测站精确距离信息的多站时差定位方法

邓杏松¹^,², 亓亮¹^,²^,*, 朱元江²^,³, 杨帆², 蒋智辰², 刘志永²

1. 南京航空航天大学电子信息工程学院, 江苏南京 210016
2. 中国船舶集团有限公司第七二三研究所, 江苏扬州 225101
3. 东南大学信息科学与工程学院, 江苏南京 210096

收稿日期:2023-07-22 出版日期:2024-07-25 发布日期:2024-08-07
通讯作者: 亓亮
作者简介:邓杏松 (1982—), 男, 研究员, 博士研究生, 主要研究方向为电子对抗系统设计
亓亮 (1990—), 男, 高级工程师, 博士研究生, 主要研究方向为电子对抗信号处理
朱元江 (1985—), 男, 研究员, 博士研究生, 主要研究方向为电子对抗系统设计
杨帆 (1964—), 男, 研究员, 硕士, 主要研究方向为电子有源干扰
蒋智辰 (1988—), 男, 高级工程师, 硕士, 主要研究方向为电子对抗系统设计
刘志永 (1997—), 男, 助理工程师, 硕士, 主要研究方向为电子侦察

Positioning method using time difference measurements from multi-station based on precise distance information of observation stations

Xingsong DEND¹^,², Liang QI¹^,²^,*, Yuanjiang ZHU²^,³, Fan YANG², Zhichen JIANG², Zhiyong LIU²

1. School of Electronic Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2. No.723 Institute of China State Shipbuilding Corporation Limited, Yangzhou 225101, China
3. School of Information Science and Engineering, Southeast University, Nanjing 210096, China

Received:2023-07-22 Online:2024-07-25 Published:2024-08-07
Contact: Liang QI

摘要/Abstract

摘要：

对于空中机动平台, 观测站位置误差的存在, 使得传统时差定位方法的精度不能满足高精度定位需求。针对观测站位置误差下的多站时差定位问题, 提出一种基于观测站精确距离信息的高精度时差定位方法。不同于传统的两步加权最小二乘(two step weighted least squares, TS-WLS)算法, 该算法在加权最小二乘时直接对目标位置估计的误差进行估计, 避免了开方、平方等非线性运算。仿真实验结果表明, 引入观测站精确距离信息能够大幅提升目标定位精度, 所提算法具有较强的噪声适应能力, 能够在观测站位置误差较大的情况下实现高精度时差定位。

关键词: 到达时差, 两步加权最小二乘, 泰勒级数展开, 伪线性方程

Abstract:

For aerial maneuvering platforms, the presence of observation stations position errors makes the positioning accuracy of traditional time difference positioning methods unable to meet the high-precision positioning requirements. In view of the problem of multi-station time difference positioning with observation stations position errors, a high-precision time difference positioning method based on precise distance information of observation stations is proposed. Unlike the traditional two step weighted least squares (TS-WLS) algorithm, the proposed algorithm directly estimates the error of target position estimation in weighted least squares step, avoiding nonlinear operations such as square and square root. Simulation experiment results show that introducing precise distance information from observation stations can significantly improve the accuracy of target positioning and the proposed algorithm has strong noise adaptability and can achieve high-precision time difference positioning in the case of large observation station position errors.

Key words: time difference of arrival (TDOA), two step weighted least squares (TS-WLS), Taylor series expansion, pseudo-linear equation

中图分类号:

TN91

邓杏松, 亓亮, 朱元江, 杨帆, 蒋智辰, 刘志永. 基于观测站精确距离信息的多站时差定位方法[J]. 系统工程与电子技术, 2024, 46(8): 2592-2599.

Xingsong DEND, Liang QI, Yuanjiang ZHU, Fan YANG, Zhichen JIANG, Zhiyong LIU. Positioning method using time difference measurements from multi-station based on precise distance information of observation stations[J]. Systems Engineering and Electronics, 2024, 46(8): 2592-2599.

图/表 5

参考文献 30

1	MAO Z , SU H , HE B , et al. Moving source localization in passive sensor network with location uncertainty[J]. IEEE Signal Process, 2021, 28, 823- 827. doi: 10.1109/LSP.2021.3074034
2	赵勇胜, 赵拥军, 赵闯. 联合角度和时差的单站无源相干定位加权最小二乘算法[J]. 雷达学报, 2016, 5 (3): 302- 311.
	ZHAO Y S , ZHAO Y J , ZHAO C . Weighted least squares algorithm for single-observer passive coherent location using DOA and TDOA measurements[J]. Journal of Radars, 2016, 5 (3): 302- 311.
3	左炜, 林晓烘, 周成. 基于单比特采样的短基线时差定位方法[J]. 空军预警学院学报, 2020, 34 (3): 163- 166. doi: 10.3969/j.issn.2095-5839.2020.03.002
	ZUO W , LIN X H , ZHOU C . Monobit-sampling-based short baseline time difference positioning technology[J]. Journal of Air Force Early Warning Academy, 2020, 34 (3): 163- 166. doi: 10.3969/j.issn.2095-5839.2020.03.002
4	熊鹏, 柳征, 姜文利. 复合调制雷达信号时差估计算法[J]. 雷达学报, 2015, 4 (4): 460- 466.
	XIONG P , LIU Z , JIANG W L . TDOA estimation algorithm of hybrid modulation radar signals[J]. Journal of Radars, 2015, 4 (4): 460- 466.
5	徐光勇, 杨静, 赵拥军, 等. 传感器位置误差下的多辐射源时差定位代数解算法[J]. 电子信息对抗技术, 2021, 36 (6): 43- 49. doi: 10.3969/j.issn.1674-2230.2021.06.009
	XU G Y , YANG J , ZHAO Y J , et al. An algebraic solution for TDOA positioning of multiple disjoint sources in the presence of sensor position errors[J]. Electronic Information Warfare Technology, 2021, 36 (6): 43- 49. doi: 10.3969/j.issn.1674-2230.2021.06.009
6	张欢, 周云生, 姜义成. 一种基于凸优化的四站时差定位算法[J]. 应用科技, 2021, 48 (1): 76- 80.
	ZHANG H , ZHOU Y S , JIANG Y C . Four-station time difference positioning algorithm based on convex optimization[J]. Applied Science and Technology, 2021, 48 (1): 76- 80.
7	PEI Y H , WU G Z , GUO F C . Geolocation a known-altitude moving source by TDOA and FDOA measurements[J]. Electronics Letters, 2022, 58 (13): 514- 516. doi: 10.1049/ell2.12508
8	XIE Y , LEE J H , SONG T L . Analysis for reference sensor selection in time difference of arrival-based localisation[J]. Electronics Letters, 2018, 54 (25): 1454- 1456. doi: 10.1049/el.2018.6151
9	ALI N , MOHAMMAD A S . Target location in multistatic passive radar using SVD approach for eliminating the nuisance parameters[J]. IEEE Trans. on Aerospace and Electronic Systems, 2017, 53 (4): 1660- 1671. doi: 10.1109/TAES.2017.2669558
10	LIU Y, YANG L, HO K C. Moving target localization in multistatic sonar using time delays, Doppler shifts and arrival angels[C]// Proc. of the IEEE International Conference on Acoustics, Speech and Signal Processing, 2017: 3399-3403.
11	VADIM I , PINI G , EHUD R , et al. Real-time vision-aided localization and navigation based on three-view geometry[J]. IEEE Trans. on Aerospace and Electronic Systems, 2012, 48 (3): 2239- 2259. doi: 10.1109/TAES.2012.6237590
12	周龙健, 罗景青, 孔辉. 基于虚拟时差的运动阵列空间无源定位算法[J]. 电子与信息学报, 2017, 39 (7): 1759- 1763.
	ZHOU L J , LUO J Q , KONG H . A passive location algorithm based on the virtual TDOAs of moving array[J]. Journal of Electronics & Information Technology, 2017, 39 (7): 1759- 1763.
13	NOROOZI A , OVEIS A H , HOSSEINI S M , et al. Improved algebraic solution for source localization from TDOA and FDOA measurements[J]. IEEE Wireless Communications, 2017, 7 (3): 352- 355.
14	ZHU G H , FENG D Z . Bi-iterative method for moving source localisation using TDOA and FDOA measurements[J]. Electronics Letters, 2015, 51 (1): 8- 10. doi: 10.1049/el.2014.2386
15	PRÉVOST R, COULON M, PAIMBLANC P, et al. Ship localization using AIS signals received by satellites[C]//Proc. of the 21st European Signal Processing Conference, 2013.
16	HO K C , XU W . An accurate algebraic solution for moving source location using TDOA and FDOA measurements[J]. IEEE Trans. on Signal Processing, 2004, 52 (9): 2453- 2463. doi: 10.1109/TSP.2004.831921
17	HO K C , CHAN Y T . Geolocation of a known altitude object from TDOA and FDOA measurements[J]. IEEE Trans. on Aerospace and Electronic Systems, 1997, 33 (3): 770- 783. doi: 10.1109/7.599239
18	CHAN Y T , HO K C . A simple and efficient estimator for hyperbolic location[J]. IEEE Trans. on Signal Processing, 1994, 42 (8): 1905- 1915. doi: 10.1109/78.301830
19	李汉君. 高精度运动平台定位技术及性能分析研究[D]. 成都: 电子科技大学, 2022.
	LI H J. Research on high precision positioning technology of motion platforms and performance analysis[D]. Chengdu: University of Electronic Science and Technology of China, 2022.
20	HO K C , LU X , KOVAVISARUCH L . Sourse localization using TDOA and FDOA measurements in the presence of receiver location errors: analysis and solution[J]. IEEE Trans. on Signal Processing, 2007, 55 (2): 684- 696. doi: 10.1109/TSP.2006.885744
21	秦兆涛, 王俊, 魏少明, 等. 基于目标高度先验信息的多站时差无源定位方法[J]. 电子与信息学报, 2018, 40 (9): 2219- 2226.
	QIN Z T , WANG J , WEI S M , et al. Passive localization using TDOA measurements from multiple sensors based on priori knowledge of target altitude[J]. Journal of Electronics & Information Technology, 2018, 40 (9): 2219- 2226.
22	XI L , FU C G , LE Y , et al. Improved solution for geolocating a known altitude source using TDOA and FDOA under random sensor location errors[J]. Electronics Letters, 2018, 54 (9): 597- 599. doi: 10.1049/el.2017.4357
23	KIM Y H , KIM D G , KIM H N . Two-step estimator for moving-emitter geolocation using time difference of arrival/frequency- difference of arrival measurements[J]. IET Radar, Sonar & Navigation, 2015, 9 (7): 881- 887.
24	QU F Y, GUO F C, MENG X W, et al. Constrained location algorithms based on total least squares method using TDOA and FDOA measurements[C]//Proc. of the IET International Conference on Automatic Control and Artificial Intelligence, 2012: 2587-2590.
25	高向颖, 赵拥军, 刘智鑫, 等. 存在站址误差下的时频差稳健定位算法[J]. 雷达学报, 2020, 9 (5): 916- 924.
	GAO X Y , ZHAO Y J , LIU Z X , et al. Robust source localization using TDOA and FDOA with receiver location errors[J]. Journal of Radars, 2020, 9 (5): 916- 924.
26	蔡春霞, 王堃, 成章, 等. 短基线无源多站时差定位精度分析及快速计算方法[J]. 电子设计工程, 2022, 30 (24): 54- 59.
	CAI C X , WANG K , CHENG Z , et al. Short-baseline passive multi-station time difference location accuracy analysis and fast calculation method[J]. Electronic Design Engineering, 2022, 30 (24): 54- 59.
27	梁丹丹. 基于伪码测距的高精度时间同步技术研究[D]. 北京: 北京理工大学, 2016.
	LIANG D D. The research of high precision time synchronization technology based on pseudo-code ranging[D]. Beijing: Beijing Institute of Technology, 2016.
28	王腾飞. 通信测距及时间同步技术的研究[D]. 北京: 北京理工大学, 2016.
	WANG T F. The research on communication ranging and time synchronization[D]. Beijing: Beijing Institute of Technology, 2016.
29	郭福成, 李金洲, 张敏. 无源定位原理与方法[M]. 北京: 国防工业出版社, 2021.
	GUO F C , LI J Z , ZHANG M . Passive location theories and methods[M]. Beijing: National Defense Industry Press, 2021.
30	CAO J M , WAN Q , OUYANG X X , et al. Multidimensional scaling-based passive emitter localisation from time difference of arrival measurements with sensor position uncertainties[J]. IET Signal Processing, 2017, 11 (1): 43- 50. doi: 10.1049/iet-spr.2015.0567

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基于观测站精确距离信息的多站时差定位方法

Positioning method using time difference measurements from multi-station based on precise distance information of observation stations

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