摘要
求解雷达射线的轨迹,以确定目标的真实空间位置,对雷达定位系统而言具有极其重要的意义。通常雷达射线的描迹采用积分算法求解射线描迹方程,但其效率低而且计算量大。龙格-库塔方法是求解常微分方程的有效数值方法,其中的四阶龙格-库塔方法具有精度高,程序简单,计算过程稳定,易于调节步长等优点,若采用此种方法对射线描迹方程进行求解,则可以避免积分算法的不足。通过计算实例,将不同条件下的数值计算结果与国军标数据进行对比,以确定这一算法的精度及有效性。
It is very important for the radar system to solve the ray tracing integral equation and get the true spatial position of target. Usually the integral calculus method is used to solve the ray tracing integral equation, while it has some drawbacks, such as low efficiency and great calculation. Ronge-Kutta methods are the effective numerical methods to solve the Ordinary Differential Equations. The Fourth-Order Runge~ Kutta method in them has some advantages which are high precision, simple to programme, stable calculation process, and easy to adjust the numerical step. If this method is used to solve the ray tracing differential equation we can avoid the drawbacks of integral calculus method. In this paper the precision and validity analysis of Fourth-Order Runge- Kutta method is put forward by comparing the calculation result with the standard data.
出处
《火力与指挥控制》
CSCD
北大核心
2009年第8期175-177,共3页
Fire Control & Command Control
