基于区间重合度的雷达与ESM航迹关联算法
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摘要
针对时变系统误差的情况,提出了一种基于区间重合度的雷达与电子支援措施(ESM)航迹关联算法。分析了时变系统误差对雷达与ESM测量数据的影响,将时变系统误差下航迹的不确定性转化为区间问题,通过区间的重合度来衡量雷达与ESM航迹关联程度,建立了灰色关联分析模型,实现了无需系统误差配准下的雷达与ESM航迹关联。在不同误差下进行了仿真对比,仿真结果表明,该算法能有效地实现时变系统误差下的雷达与ESM航迹关联,具有良好的鲁棒性。
Aiming at the situation with time-varied systematic errors,agray track association algorithm of radar and ESM based on interval overlap ratio is proposed in this paper.The effect of time-varied systematic errors on the measurements of radar and ESM is analyzed and the uncertainty of tracks is turned into an interval problem in the presence of time-varied systematic errors.The correlation is measured by the interval overlap ratio and a gray model is established,which realize the track association of radar and ESM without registration.Simulation is carried out with different errors,and the results show that the proposed method can achieve the track association of radar and ESM effectively and has good robustness.
Aiming at the situation with time-varied systematic errors,agray track association algorithm of radar and ESM based on interval overlap ratio is proposed in this paper.The effect of time-varied systematic errors on the measurements of radar and ESM is analyzed and the uncertainty of tracks is turned into an interval problem in the presence of time-varied systematic errors.The correlation is measured by the interval overlap ratio and a gray model is established,which realize the track association of radar and ESM without registration.Simulation is carried out with different errors,and the results show that the proposed method can achieve the track association of radar and ESM effectively and has good robustness.
引文
[1]何友,王国宏,关欣,等.信息融合理论及应用[M].北京:电子工业出版社,2010:124-146.
[2]赵宗贵,刁联旺,李君灵,等.信息融合工程实践—技术与方法[M].北京:国防工业出版社,2014:50-75.
[3]WANG G H,MAO S Y,HE Y.Triple-Threshold Radar to ESM Correlation Algorithm When Each Radar Track Is Specified by Different Number of Measurements[J].IEE Proceedings-Radar,Sonar and Navigation,2000,147(4):177-187.
[4]CHEN H,BAR-SHALOM Y.Track Association and Fusion with Heterogeneous Local Trackers[C]∥46th IEEE Conference on Decision and Control,2007:2675-2680.
[5]王国宏,何友.基于模糊综合和统计假设检验的雷达与ESM相关方法[J].系统工程与电子技术,1997(4):13-16.
[6]FARINA A,MIGLIOLI R.Association of Active and Passive Tracks for Airborne Sensors[J].Signal Processing,1998,69(3):209-217.
[7]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.
[8]WANG G H,ZHANG X Y,TAN S C.Effect of Biased Estimation on Radar-to-ESM Track Association[J].Journal of System Engineering and Electronic Techniques,2012,23(2):188-194.
[9]王国宏.利用角度、角度变化率和ITG信息的主被动传感器数据关联[J].雷达科学与技术,2003,1(1):39-45.WANG Guohong.Heterogeneous Sensor Data Association by Using Angle,Angle Rate and ITG Information[J].Radar Science and Technology,2003,1(1):39-45.(in Chinese)
[10]SCALA B F L,FARINA A.Choosing a Track Association Method[J].Information Fusion,2002,3(2):119-133.
[11]ZHOU Y F,LI W,LEUNG H.Maximum Likelihood Based ESM/Radar Track Association Algorithm in a New Modified Polar Coordinate[R].Ottawa:Defence Research and Development Canada,2004.
[12]张翔宇,王国宏,李世忠.系统误差对雷达与ESM航迹关联的影响[J].火力与指挥控制,2011,36(7):39-41.
[13]宋振宇,张翔宇,张光轶.系统误差对异地配置的雷达和ESM航迹关联的影响[J].电光与控制,2014,21(3):42-46.
[14]ZHANG F,ALOIS K.Systematic Error Modeling and Bias Estimation[J].Sensors,2016,16(5):729-829.
[15]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.
[16]衣晓,关欣,何友.分布式多目标跟踪系统的灰色航迹关联模型[J].信号处理,2005,21(6):653-655.
[17]刘思峰,党耀国.灰色系统理论及其应用[M].北京:科学出版社,2010.
[18]龙海鹰,任清安.空管异类传感器数据融合算法研究[J].雷达科学与技术,2010,8(6):526-531.LONG Haiying,REN Qingan.Research on Data Fusion Algorithm of ATC Heterogeneous Sensors[J].Radar Science and Technology,2010,8(6):526-531.(in Chinese)
[2]赵宗贵,刁联旺,李君灵,等.信息融合工程实践—技术与方法[M].北京:国防工业出版社,2014:50-75.
[3]WANG G H,MAO S Y,HE Y.Triple-Threshold Radar to ESM Correlation Algorithm When Each Radar Track Is Specified by Different Number of Measurements[J].IEE Proceedings-Radar,Sonar and Navigation,2000,147(4):177-187.
[4]CHEN H,BAR-SHALOM Y.Track Association and Fusion with Heterogeneous Local Trackers[C]∥46th IEEE Conference on Decision and Control,2007:2675-2680.
[5]王国宏,何友.基于模糊综合和统计假设检验的雷达与ESM相关方法[J].系统工程与电子技术,1997(4):13-16.
[6]FARINA A,MIGLIOLI R.Association of Active and Passive Tracks for Airborne Sensors[J].Signal Processing,1998,69(3):209-217.
[7]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.
[8]WANG G H,ZHANG X Y,TAN S C.Effect of Biased Estimation on Radar-to-ESM Track Association[J].Journal of System Engineering and Electronic Techniques,2012,23(2):188-194.
[9]王国宏.利用角度、角度变化率和ITG信息的主被动传感器数据关联[J].雷达科学与技术,2003,1(1):39-45.WANG Guohong.Heterogeneous Sensor Data Association by Using Angle,Angle Rate and ITG Information[J].Radar Science and Technology,2003,1(1):39-45.(in Chinese)
[10]SCALA B F L,FARINA A.Choosing a Track Association Method[J].Information Fusion,2002,3(2):119-133.
[11]ZHOU Y F,LI W,LEUNG H.Maximum Likelihood Based ESM/Radar Track Association Algorithm in a New Modified Polar Coordinate[R].Ottawa:Defence Research and Development Canada,2004.
[12]张翔宇,王国宏,李世忠.系统误差对雷达与ESM航迹关联的影响[J].火力与指挥控制,2011,36(7):39-41.
[13]宋振宇,张翔宇,张光轶.系统误差对异地配置的雷达和ESM航迹关联的影响[J].电光与控制,2014,21(3):42-46.
[14]ZHANG F,ALOIS K.Systematic Error Modeling and Bias Estimation[J].Sensors,2016,16(5):729-829.
[15]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.
[16]衣晓,关欣,何友.分布式多目标跟踪系统的灰色航迹关联模型[J].信号处理,2005,21(6):653-655.
[17]刘思峰,党耀国.灰色系统理论及其应用[M].北京:科学出版社,2010.
[18]龙海鹰,任清安.空管异类传感器数据融合算法研究[J].雷达科学与技术,2010,8(6):526-531.LONG Haiying,REN Qingan.Research on Data Fusion Algorithm of ATC Heterogeneous Sensors[J].Radar Science and Technology,2010,8(6):526-531.(in Chinese)