基于目标量测误差分布的航迹抗差关联算法

doi:10.12305/j.issn.1001-506X.2024.08.29

摘要/Abstract

摘要：

针对在远距离密集目标情况下, 因角度维误差导致目标空间定位误差变大而航迹误关联率较高的问题, 提出一种基于目标量测误差分布的航迹抗差关联算法。首先在分析目标量测误差空间概率分布特征的基础上, 定义了与目标同一性密切相关的视同因子; 然后利用关联目标对与雷达之间的几何关系、目标量测距离和雷达站址等先验信息, 基于模糊数学理论中的高斯隶属度函数, 计算得到目标航迹之间的航迹关联度和航迹关联代价矩阵; 最后利用经典分配法进行航迹关联判定。仿真结果表明, 所提算法航迹误关联率低、抗差性好, 且不受目标数目变化的影响。

关键词: 航迹关联, 误差分布, 隶属度函数, 多维分配

Abstract:

In the case of long-range and dense targets, aiming at the problem of high track error correlation rate due to large spatial positioning error of target caused by angle dimension error, an anti-bias track association algorithm based on target measurement error distribution is proposed. Firstly, based on the analysis of the spatial probability distribution characteristics of the target measurement error, the algorithm defines the reckon factor closely related to target identity. Then, using the geometric relationship between the associated target pair and radar, the measurement distance of target, the radar site and other prior information, the track association degree and track association cost matrices between the target tracks are calculated based on the Gaussian affiliation function in fuzzy mathematics theory. Finally, the classical allocation method is used to determine the track correlation. Simulation results show that the proposed algorithm has low track error correlation rate and good robustness, and is not affected by the number of targets.

Key words: track association, error distribution, affiliation function, multidimensional allocation

中图分类号:

TN957.51

杨鑫, 阮开智, 刘红明, 王晓科, 刘静秋, 施裕升. 基于目标量测误差分布的航迹抗差关联算法[J]. 系统工程与电子技术, 2024, 46(8): 2820-2828.

Xin YANG, Kaizhi RUAN, Hongming LIU, Xiaoke WANG, Jingqiu LIU, Yusheng SHI. Anti-bias track association algorithm based on target measurement error distribution[J]. Systems Engineering and Electronics, 2024, 46(8): 2820-2828.

图/表 6

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参考文献 31

1	CHAI L , YI W , KONG L J .Joint sensor registration and multi-object tracking with PHD filter in distributed multi-sensor networks[J].Signal Processing,2023,206,108909. doi: 10.1016/j.sigpro.2022.108909
2	曾雅俊, 王俊, 魏少明, 等.分布式多传感器多目标跟踪方法综述[J].雷达学报,2023,12(1):197-213.
	ZENG Y J , WANG J , WEI S M , et al.Review of the method for distributed multi-sensor multi-target tracking[J].Journal of Radars,2023,12(1):197-213.
3	ZHU H , WANG M L , YUEN K V , et al.Track-to-track association by coherent point drift[J].IEEE Signal Processing Letters,2017,24(5):643-647. doi: 10.1109/LSP.2017.2682857
4	ZOU K , ZHU H , LI Y F , et al.Track-to-track association for intelligent vehicles by preserving local track geometry[J].Sensors,2020,20(5):1412. doi: 10.3390/s20051412
5	LI B Z , DONG Y L , HUANG G D , et al.Radar/ESM anti-bias track association algorithm based on track distance vector detection[J].The Journal of Engineering,2019,2019(21):7563-7567. doi: 10.1049/joe.2019.0647
6	CUI Y Q , LIU Y , TANG T T , et al.A new adaptive track correlation method for multiple scenarios[J].IET Radar, Sonar Navigation,2021,15(9):1112-1124. doi: 10.1049/rsn2.12101
7	赖文星, 王创维, 顾树峰, 等.一体化防空协同组网作战研究[J].空天防御,2022,5(4):92-96. doi: 10.3969/j.issn.2096-4641.2022.04.014
	LAI W X , WANG C W , GU S F , et al.Integrated air defense cooperative networking operation research[J].Air and Space Defense,2022,5(4):92-96. doi: 10.3969/j.issn.2096-4641.2022.04.014
8	雒梅逸香. 基于组网雷达数据融合的目标跟踪技术研究[D]. 西安: 西安电子科技大学, 2018.
	LUOMEI Y X. Study on target tracking technology based on radar network data fusion[D]. Xi'an: Xidian University, 2018.
9	郭凯德. 组网雷达协同探测技术研究[D]. 西安: 西安电子科技大学, 2019.
	GUO K D. Research on cooperative detection technology of networked radar[D]. Xi'an: Xidian University, 2019.
10	LIU Y , HE Y , DONG K , et al.Fuzzy binary track correlation algorithms for multisensor information fusion[J].Journal of Networks,2014,9(3):672-681.
11	TOKTA A , HOCAOGLU A K .Sensor bias estimation for track-to-track association[J].IEEE Signal Processing. Letters,2019,26(10):1426-1430. doi: 10.1109/LSP.2019.2934596
12	ZHU H Y , WANG C .Joint track to track association and sensor registration at the track level[J].Digital Signal Processing,2015,41,48-59. doi: 10.1016/j.dsp.2015.03.012
13	魏兵桌, 刘鑫, 曹政, 等.一种基于统计的二维航迹关联方法[J].空天防御,2020,3(1):93-98.
	WEI B Z , LIU X , CAO Z , et al.A two-dimensional track correlation method based on statistics[J].Air and Space Defense,2020,3(1):93-98.
14	何友, 宋强, 熊伟.基于傅里叶变换的航迹对准关联算法[J].航空学报,2010,31(2):356-362.
	HE Y , SONG Q , XIONG W .A track registration correlation algorithm based on Fourier transform[J].Acta Aeronautica et Astronautica Sinica,2010,31(2):356-362.
15	何友, 宋强, 熊伟.基于相位相关的航迹对准关联技术[J].电子学报,2010,38(12):2718-2723.
	HE Y , SONG Q , XIONG W .Track alignment-correlation technique based on phase correlation[J].Acta Electronica Sinica,2010,38(12):2718-2723.
16	MOUSA N , SAEID P , LEILI M K .An adaptive density-based fuzzy clustering track association for distributed tracking system[J].IEEE Access,2019,7,135972-135981. doi: 10.1109/ACCESS.2019.2941184
17	衣晓, 张怀巍, 曹昕莹, 等.基于区间灰数的分布式多目标航迹关联算法[J].航空学报,2013,34(2):352-360.
	YI X , ZHANG H W , CAO X Y , et al.A track association algorithm for distributed multi-target systems based on gray interval numbers[J].Acta Aeronautica et AstronauticaSinica,2013,34(2):352-360.
18	杨军佳, 张培峰, 纳学柱.雷达组网航迹灰色关联方法[J].电讯技术,2019,59(3):318-322.
	YANG J J , ZHANG P F , NA X Z .A grey method of radar network track association[J].Telecommunication Engineering,2019,59(3):318-322.
19	衣晓, 周威.基于区域覆盖度的航迹灰关联算法[J].火力与指挥控制,2020,45(5):45-50. doi: 10.3969/j.issn.1002-0640.2020.05.008
	YI X , ZHOU W .Track grey correlation algorithm based on regional coverage[J].Fire Control & Command Control,2020,45(5):45-50. doi: 10.3969/j.issn.1002-0640.2020.05.008
20	董凯, 关欣, 王海鹏, 等.基于序贯修正灰关联度的全局最优航迹关联算法[J].电子与信息学报,2014,36(8):1939-1945.
	DONG K , GUAN X , WANG H P , et al.Global optimal track association algorithm based on sequential modified grey association degree[J].Journal of Electronics & Information Technology,2014,36(8):1939-1945.
21	ZHU H Y , HAN S Y .Track-to-track association based on structural similarity in the presence of sensor biases[J].Journal of Applied Mathematics,2014,(1):294657.
22	董凯, 王海鹏, 刘瑜.基于拓扑统计距离的航迹抗差关联算法[J].电子与信息学报,2015,37(1):50-55.
	DONG K , WANG H P , LIU Y .Anti-bias track association algorithm based on topology statistical distance[J].Journal of Electronics & Information Technology,2015,37(1):50-55.
23	QI L , HE Y , DONG K , et al.Multi-radar anti-bias track association based on the reference topology feature[J].IET Radar Sonar & Navigation,2018,12(3):366-372.
24	崔亚奇, 熊伟, 顾祥岐.基于三角稳定的海上目标航迹抗差关联算法[J].系统工程与电子技术,2020,42(10):2223-2230. doi: 10.3969/j.issn.1001-506X.2020.10.10
	CUI Y Q , XIONG W , GU X Q .Anti-bias association algorithm for marine target track based on triangular stability[J].Systems Engineering and Electronics,2020,42(10):2223-2230. doi: 10.3969/j.issn.1001-506X.2020.10.10
25	齐林, 熊伟, 何友.基于距离分级聚类的机载雷达航迹抗差关联算法[J].电子学报,2018,46(6):1475-1481. doi: 10.3969/j.issn.0372-2112.2018.06.029
	QI L , XIONG W , HE Y .Anti-bias track-to-track association algorithm for aircraft platforms based on distance hierarchical clustering[J].Acta Electronica Sinica,2018,46(6):1475-1481. doi: 10.3969/j.issn.0372-2112.2018.06.029
26	崔亚奇, 熊伟, 唐田田.一种基于时空交叉点新特征的航迹关联算法[J].电子与信息学报,2020,42(10):2500-2507. doi: 10.11999/JEIT190822
	CUI Y Q , XIONG W , TANG T T .A track correlation algorithm based on new space-time cross-point feature[J].Journal of Electronics & Information Technology,2020,42(10):2500-2507. doi: 10.11999/JEIT190822
27	衣晓, 曾睿.基于k近邻平均距离的异步航迹关联算法[J].系统工程与电子技术,2022,44(11):3515-3521. doi: 10.12305/j.issn.1001-506X.2022.11.27
	YI X , ZENG R .Asynchronous track-to-track association algorithm based on k means distance of nearest neighbors[J].Systems Engineering and Electronics,2022,44(11):3515-3521. doi: 10.12305/j.issn.1001-506X.2022.11.27
28	于选桐, 刘唐兴, 王号, 等.组网雷达分布式误差估计方法[J].信息化研究,2020,46(4):21-24.
	YU X T , LIU T X , WANG H , et al.Distribute error estimation method of netlike radar[J].Information Research,2020,46(4):21-24.
29	李国君, 孔博.空馈式雷达目标模拟误差分析方法研究[J].舰船电子工程,2023,43(7):74-78.
	LI G J , KONG B .Research on analysis method of space radiation radar target simulation error[J].Ship Electronic Engineering,2023,43(7):74-78.
30	BLAIR W D, RICE T R, ALOUANI A T, et al. Asynchronous data fusion for target tracking with a multitasking radar and optical sensor[C]//Proc. of the SPIE Conference on Acquisition, Tracking and Pointing, 1991: 234-245.
31	王宝树, 李芳社.基于数据融合技术的多目标跟踪算法研究[J].西安电子科技大学学报,1998,25(3):269-272. doi: 10.3969/j.issn.1001-2400.1998.03.001
	WANG B S , LI F S .The research on multiple targets tracking based on data fusion technology[J].Journal of Xidian University,1998,25(3):269-272. doi: 10.3969/j.issn.1001-2400.1998.03.001

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[10]	崔亚奇, 熊伟, 顾祥岐. 基于三角稳定的海上目标航迹抗差关联算法[J]. 系统工程与电子技术, 2020, 42(10): 2223-2230.
[11]	欧阳成, 徐敏, 顾杰. 基于探测区域搜索的TOA量测数据关联[J]. 系统工程与电子技术, 2019, 41(12): 2697-2702.
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