Monte Carlo方法在B样条函数分频理论中的应用

Monte Carlo Method in B-spline Seperating Signals

针对弹道参数的B样条表示问题,运用Monte Carlo方法对B样条函数分频理论进行仿真论证,得到B样条延拓节点的补充方法,并验证B样条函数逼近空间相容性定理的正确性.比较Monte Carlo方法和B样条分频算法的计算结果,说明分频算法合理.将该算法应用于外弹道跟踪测量数据的处理中,可以确定出表示弹道所需要的样条节点个数及样条节点序列的排布,有效减少待估参数个数.

To represent a ballistic trajectory with B-spline,Monte Carlo method is used in the simulation of B-spline separating signals method.A suggestion is given on how to add external knots to the internal knots sequence.Consistency of B-spline approximation space is discussed to demonstrate the relevant theorem.Further more,B-spline separating signals method is validated by a comparison with Monte Carlo simulation.It decides efficiently exact knots sequence needed to represent a ballistic trajectory.With the knots sequence,the parameters to be estimated is greatly eliminated.