异地配置的雷达与电子支援措施异步航迹关联

doi:10.12305/j.issn.1001-506X.2021.04.12

摘要/Abstract

摘要：

针对异步条件下雷达与电子支援措施(electronic support measurements, ESM)航迹关联问题, 通过分析方位角异步测量值对交叉定位原理的影响, 提出一种无需时域配准的航迹关联算法。根据传感器存在时延以及采样率的不同, 给出不等长航迹序列的等长区间变换以及异步航迹交叉定位的区间化方法, 通过计算区间序列离散度实现异类传感器航迹关联。通过仿真验证, 区间序列离散度不受噪声分布的影响, 且对数据集整体特征的求解避免了传统算法中的逐点运算, 有效提高了算法运算率。与传统算法相比, 可在多种测量误差场景下对异步航迹直接进行准确关联。

关键词: 航迹关联, 交叉定位, 雷达, 电子支援措施, 区间变换

Abstract:

Aiming at the problem of radar and electronic support measurement (ESM) track correlation under asynchronous conditions, a track correlation algorithm without time domain registration is proposed by analyzing the influence of asynchronous measurement values of the azimuth on the principle of cross location. According to the difference of sensor's delay and sampling rate, the isometric interval transformation of the unequal length track sequence and the interval method of asynchronous track cross location are presented. Track correlation of heterogeneous sensors is realized by calculating interval sequence discrete degree. Through simulation verification, the interval sequence discrete degree is not affected by the noise distribution, and the solution of the overall characteristics of the data set avoids the point-by-point operation in the traditional algorithm, which effectively improves the algorithm calculation rate. Compared with the traditional algorithm, the asynchronous track can be correlated directly and accurately under a variety of measurement error scenarios.

Key words: track association, cross location, radar, electronic support measurement (ESM), interval transformation

中图分类号:

V271.4

衣晓, 杜金鹏, 曹昕莹. 异地配置的雷达与电子支援措施异步航迹关联[J]. 系统工程与电子技术, 2021, 43(4): 954-960.

Xiao YI, Jinpeng DU, Xinying CAO. Asynchronous track association of radar and electronic support measurements at different sites[J]. Systems Engineering and Electronics, 2021, 43(4): 954-960.

图/表 12

图1

图2

图3

表1

图4

图5

图6

表2

图7

表3

表4

图8

参考文献 25

1	LIU Q Y, ZHANG Q. Heterogeneous multi-sensor data fusion in radar signal processing[C]//Proc. of the 4th International Conference on Electromechanical Control Technology and Transportation (ICECTT), 2019: 134-137.
2	ZHU H , WANG M L , YUEN K V , et al. Track-to-track association by coherent point drift[J]. Signal Processing Letters, 2017, 24 (5): 643- 647. doi: 10.1109/LSP.2017.2682857
3	YAN X F. A survey on radar/ESM track association[C]//Proc. of the 31st Chinese Control Conference, 2012: 7696-7702.
4	TU Y J , HUANG G M , LI J H , et al. Performance analysis of radar and ESM track association algorithms[J]. Applied Mechanics and Materials, 2011, 130-134, 1925- 1928. doi: 10.4028/www.scientific.net/AMM.130-134.1925
5	WANG G H , MAO S Y , HE Y . Analytical performance evaluation of association of active and passive tracks for airborne sensors[J]. Signal Processing, 2003, 83 (5): 973- 981. doi: 10.1016/S0165-1684(02)00500-5
6	OFFER C R. Performance of bearing-only ESM-radar track association[C]//Proc. of the IET Data Fusion & Target Tracking Conference, 2012: 1-6.
7	PENG B B, GUAN X. A new track association algorithm of radar and ESM[C]//Proc. of the CIE International Conference on Radar (RADAR), 2016: 1-5.
8	WANG G H , MAO S Y , HE Y , et al. Triple-threshold radar-to-ESM correlation algorithm when each radar track is specified by different number of measurements[J]. IEEE Proceedings Radar, Sonar & Navigation, 2000, 147 (4): 177- 181.
9	WANG G H , HE Y , MAO S Y , et al. Quadri-threshold algorithm of co-located radar-to-ESM correlation[J]. Chinese Journal of Aeronautics, 2000, 13 (2): 86- 90.
10	GUAN C B, WANG G H, CHEN Z H. Research on the method of radar-to-ESM track correlation[C]//Proc. of IET International Radar Conference, 2013: 1-6.
11	陈中华, 王国宏, 刘德浩, 等. 基于几何法的雷达与ESM航迹关联算法[J]. 电光与控制, 2012, 19 (4): 10- 12, 22.
	CHEN Z H , WANG G H , LIU D H , et al. Radar-ESM track correlation based on geometric method[J]. Electronics Optics & Control, 2012, 19 (4): 10- 12, 22.
12	SCALA B F L , FARINA A . Choosing a track association method[J]. Information Fusion, 2002, 3 (2): 119- 133. doi: 10.1016/S1566-2535(02)00050-7
13	余安喜, 胡卫东, 郁文贤, 等. 航迹相关与融合的性能评估[J]. 系统工程与电子技术, 2003, 26 (7): 121- 124.
	YU A X , HU W D , YU W X , et al. Performance evaluation for track correlation and fusion[J]. Systems Engineering and Electronics, 2003, 26 (7): 121- 124.
14	XIA J , FENG Y Q , LIU L N , et al. An evidential reliability indicator-based fusion rule for Dempster-Shafer theory and its applications in classification[J]. IEEE Access, 2018, 6, 24912- 24924. doi: 10.1109/ACCESS.2018.2831216
15	DEMERS H, MICHAUD G, TURGEON D. Identity multiassignment in ESM to radar fusion[C]//Proc. of the 9th International Conference on Information Fusion, 2006: 1-6.
16	郭徽东, 章新华. 基于模糊综合函数的航迹关联算法及其应用[J]. 系统工程与电子技术, 2003, 35 (11): 1401- 1403.
	GUO H D , ZHANG X H . A track-to-track association algorithm based on fuzzy synthetical function and its application[J]. Systems Engineering and Electronics, 2003, 35 (11): 1401- 1403.
17	CHEN H, BAR-SHALOM Y. Track association and fusion with heterogeneous local trackers[C]//Proc. of the 46th IEEE Conference on Decision & Control, 2007.
18	ZHAO G Z , CHEN A G , LU G X , et al. Data fusion algorithm based on fuzzy sets and D-S theory of evidence[J]. Tsinghua Science and Technology, 2020, (1): 12- 19.
19	GU E T, TAN Y L, YU Z C, et al. An algorithm for 2D radar to ESM correlation based on fuzzy data association[C]//Proc. of the Cross Strait Quad-Regional Radio Science and Wireless Technology Conference, 2011: 1094-1097.
20	ZHU H , LEUNG H , YUEN K V . A joint data association, registration, and fusion approach for distributed tracking[J]. Information Sciences, 2015, 324, 186- 196. doi: 10.1016/j.ins.2015.06.042
21	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
22	ZHU H Y, HAN C Z, HAN H, et al. The algorithm and simu- lations for the asynchronous track association[C]//Proc. of the 6th IEEE International Information Fusion Conference, 2003.
23	衣晓, 韩健越, 张怀巍, 等. 基于区实混合序列相似度的异步不等速率航迹关联算法[J]. 航空学报, 2015, 36 (4): 1212- 1220.
	YI X , HAN J Y , ZHANG H W , et al. Asynchronous track-to-track association algorithm based on similarity degree of interval-real sequence[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36 (4): 1212- 1220.
24	YADOLAH D . The concise encyclopedia of statistical[M]. Berlin: Springer-Verlag, 2008.
25	衣晓, 杜金鹏. 基于分段序列离散度的异步航迹关联算法[J]. 航空学报, 2020, 41 (7): 265- 274.
	YI X , DU J P . Asynchronous track-to-track association algorithm based on discrete degree of segmented sequence[J]. Acta Aeronautica et Astronautica Sinica, 2020, 41 (7): 265- 274.

测角随机误差/(°)		本文算法			文献[7]算法			文献[11]算法
雷达	ESM	E_c	E_e	E_s	E_c	E_e	E_s	E_c	E_e	E_c
0.3	0.2	0.983 0	0.016 6	0.000 4	0.901 7	0.047 5	0.050 8	0.900 0	0.044 2	0.055 8
0.3	0.4	0.977 1	0.021 8	0.001 1	0.880 0	0.062 5	0.057 5	0.868 3	0.062 5	0.069 2
0.3	0.6	0.973 8	0.025 2	0.001 0	0.855 8	0.070 8	0.073 3	0.850 0	0.073 3	0.076 7
0.5	0.2	0.965 3	0.034 5	0.000 3	0.860 0	0.066 7	0.073 3	0.857 5	0.061 7	0.080 8
0.5	0.4	0.959 8	0.039 4	0.000 8	0.846 7	0.075 8	0.077 5	0.835 0	0.075 8	0.089 2
0.5	0.6	0.959 3	0.040 8	0.000 0	0.804 2	0.099 2	0.096 7	0.795 8	0.099 2	0.105 0
0.7	0.2	0.941 3	0.058 4	0.000 3	0.817 5	0.086 7	0.095 8	0.808 3	0.089 2	0.102 5
0.7	0.4	0.936 9	0.063 0	0.000 1	0.783 3	0.105 8	0.110 8	0.778 3	0.105 8	0.115 8
0.7	0.6	0.922 3	0.077 3	0.000 5	0.766 7	0.119 2	0.114 2	0.763 3	0.116 7	0.120 0

ESM时延/s	传感器采样周期(t₁, t₂) /s
ESM时延/s	(0.1, 0.3)	(0.3, 0.5)	(0.5, 1.1)
Δt=0.1	0.953	0.933	0.913
Δt=0.2	0.942	0.921	0.891
Δt=0.3	0.938	0.912	0.890
Δt=0.4	0.937	0.911	0.887
Δt=0.5	0.934	0.913	0.873

噪声分布	均匀噪声	指数噪声	高斯噪声	瑞利噪声
本文算法正确关联率	0.941 3	0.945 8	0.954 4	0.952 5

ESM时延/s	传感器采样周期(t₁, t₂) /s
ESM时延/s	(0.1, 0.3)	(0.3, 0.5)	(0.5, 1.1)
Δt=0.1	0.948	0.926	0.905
Δt=0.2	0.936	0.915	0.892
Δt=0.3	0.924	0.907	0.888
Δt=0.4	0.920	0.899	0.879
Δt=0.5	0.916	0.893	0.872

[1]	肖宇, 邓正宏, 张展. 基于双阶段互信息准则的多目标检测波形设计[J]. 系统工程与电子技术, 2022, 44(9): 2736-2742.
[2]	王磊, 张志勇, 曾维贵, 曹司磊, 张天赫. 基于数据场联合决策图改进的GMM聚类[J]. 系统工程与电子技术, 2022, 44(9): 2743-2751.
[3]	苗添, 曾虹程, 王贺, 陈杰. 基于迭代阈值分割的星载SAR洪水区域快速提取[J]. 系统工程与电子技术, 2022, 44(9): 2760-2768.
[4]	张逸群, 兰岚, 廖桂生, 许京伟. 基于二次补偿的FDA-MIMO雷达抗主瓣欺骗式干扰方法[J]. 系统工程与电子技术, 2022, 44(9): 2769-2775.
[5]	陈诚, 刘涛, 曹来保, 何志华, 黄春琳, 粟毅. 全息穿透雷达非平整表面杂波抑制算法研究[J]. 系统工程与电子技术, 2022, 44(9): 2776-2782.
[6]	刘晓楠, 王昆, 孙晗伟, 鲁耀兵. Ka频段合成孔径雷达高度计机载数据处理[J]. 系统工程与电子技术, 2022, 44(9): 2800-2808.
[7]	马子杰, 谢拥军. 体系作战下巡航导弹的动态隐身[J]. 系统工程与电子技术, 2022, 44(9): 2826-2831.
[8]	杨立儒, 刘永祥, 杨威. 基于迁移学习的雷达杂波幅度统计模型选择[J]. 系统工程与电子技术, 2022, 44(8): 2457-2467.
[9]	谢拥军, 高杰, 武沛羽, 牛立强. 有源RCS及其应用[J]. 系统工程与电子技术, 2022, 44(8): 2468-2473.
[10]	王彩云, 吴钇达, 王佳宁, 马璐, 赵焕玥. 基于改进的CNN和数据增强的SAR目标识别[J]. 系统工程与电子技术, 2022, 44(8): 2483-2487.
[11]	朱霸坤, 朱卫纲, 李伟, 杨莹, 高天昊. 基于马尔可夫的多功能雷达认知干扰决策建模研究[J]. 系统工程与电子技术, 2022, 44(8): 2488-2497.
[12]	关欣, 国佳恩. 基于迭代离散度序贯检测的航迹抗差关联算法[J]. 系统工程与电子技术, 2022, 44(8): 2498-2505.
[13]	熊元燚, 谢文冲. 基于空时约束的自适应迭代单脉冲估计方法[J]. 系统工程与电子技术, 2022, 44(8): 2506-2514.
[14]	刘红亮, 陈超, 黄昆伟, 卢博, 岳凯. 针对分布式雷达网的多帧联合航迹起始方法[J]. 系统工程与电子技术, 2022, 44(7): 2143-2147.
[15]	廖金玲, 廖桂生, 许京伟, 兰岚. 基于EPC-MIMO编码设计的解距离模糊性能分析[J]. 系统工程与电子技术, 2022, 44(7): 2166-2174.