双层三阶多项式拟合的弹道导弹发射点估计方法  

A Ballistic Missile Launch Point Estimation Method Based on Double Layer Third-order Polynomial Fitting

作　　者：邱明劼 周垂红[1] 汪圣利[1] QIU Mingjie;ZHOU Chuihong;WANG Shengli(Nanjing Research Institute of Electronics Technology,Nanjing 210039,China;China Academy of Electronics and Information Technology,Beijing 100041,China)

机构地区：[1]南京电子技术研究所,南京210039 [2]中国电子科学研究院,北京100041

出　　处：《电讯技术》2024年第2期239-246,共8页Telecommunication Engineering

摘　　要：发射点估计是炮位侦察校射雷达的重要任务之一。在仅利用雷达测量数据的情况下,先通过三阶函数拟合弹道导弹主动段时间-高度曲线估计导弹的绝对发射时刻,从而求得各个弹道轨迹点相对于绝对发射时刻的相对发射时间,然后再次利用三阶函数拟合主动段相对时间-水平位移,进而得到弹道导弹发射点估计结果。通过弹道导弹运动模型仿真具有一二级助推的弹道数据,并增加雷达观测误差,分析验证了所提方法的有效性和精确性。经测试,所提方法求解过程简单,对主动段弹道拟合准确,发射点估计精度达到0.6%以内,定位误差较传统方法降低了50%以上。Launch point estimation is one of the important tasks of artillery location radars.In this paper,the authors first estimate the absolute launch time of ballistic missile by fitting the time-height curve of the powered phase trajectory,so as to obtain the relative time of every trajectory point.In this step,the third-order polynomial function is used for fitting.After that,the authors use the third order polynomial function again to fit the relative time-horizontal displacement curve.Two fitting procedures both only use radar measurement data to get results.The effectiveness and accuracy of the proposed method are verified by testing on the simulation trajectory data generated through utilizing the ballistic missile motion model and adding radar observation errors.After a lot of testing,the proposed method is proved to be easy for calculating and accurate for fitting the powered phase trajectory.The estimation accuracy of the launch point is less than 0.6%,and the locating error is reduced more than 50%compared with that of the traditional method.

关 键 词：弹道导弹 发射点位置估计 炮位侦察雷达 主动段弹道拟合 

分 类 号：TN959.1[电子电信—信号与信息处理]