样条节点优化方法及其在弹道表示中的应用  

Method for Optimization of Spline Nodes and Its Application in Trajectory Representation

作　　者：易泰河[1] 刘冰[1] 易东云[1] 

机构地区：[1]国防科技大学理学院数学与系统科学系,长沙410073

出　　处：《飞行器测控学报》2012年第5期54-58,共5页Journal of Spacecraft TT&C Technology

摘　　要：精确的主动段弹道表示模型是高精度弹道参数估计算法的关键。针对等距节点样条模型表示主动段弹道截断误差过大问题,引入一种基于残差的自适应样条节点优化方法,用自由节点样条表示主动段弹道,并根据假设检验理论给出算法中的阈值确定方法。仿真结果表明,经该方法进行节点优化后的样条模型,不但能有效控制模型误差,当检验水平较高时,还能初步识别导弹主动段特征点。High-accuracy trajectory representation model is critical to a high-precision trajectory parameter estimation algorithm. Spline function models that use equidistantly spaced nodes are deficient in terms of model approximation accuracy. To solve the problem, a new spline node optimization method based on residual errors of measurement is proposed. A free node spline function model is used to represent trajectory and a method is presented to fix the thresholds for the algorithm. Numerical simulation indicates that the algorithm proposed effectively removes trunca-tion errors. Choosing a higher test level, it can also identify the characteristic points of trajectory.

关 键 词：样条 截断误差 节点优化 特征点识别 检验水平 

分 类 号：V557[航空宇航科学与技术—人机与环境工程] TN96[电子电信—信号与信息处理]