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

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.