中国空间科学技术

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样条函数最小二乘拟合的递推计算

祝转民,杨宜康,黄永宣,李济生   

  1. 西安交通大学系统工程研究所,西安交通大学系统工程研究所,西安交通大学系统工程研究所,西安卫星测控中心 西安710049 ,西安710049 ,西安710049 ,西安710043
  • 发布日期:2002-02-25

The Recursive Calculation of Spline Function L east Square Approximating

Zhu Zhuanmin Yang Yikang Huang Yongxuan ( Institute of System Engineering,Xi' an Jiaotong University,Xi' an710 0 4 9) L i Jisheng ( Xi' an Satellite Control Centre,Xi' an 710 0 4 3 )   

  • Published:2002-02-25

摘要： 在目前靶场数据处理中 ,参数估计与补点计算等常用多项式拟合 ,往往带来较大的截断误差。文章从外弹道数据特点出发 ,用样条函数拟合全弹道 ,并将样条函数和递推思想相结合 ,推导出了递推样条最小二乘拟合方法。仿真结果证明 ,该方法既提高了拟合精度与计算速度 ,又节约了计算机内存 ,是具有实用价值的方法

关键词: 样条函数, 最小二乘法

Abstract: In currently range data processing,the estimate of parameters and patch calculating usually use polynomial to approximate,which often make much more truncation errors.A method to approximate the trajectory by using the fine nature of spline functions as the base is proposed.Through integrating the spline function and recursive,a recursive calculation of spline function leastsquare approximating approach is given.The simulation demonstrates the method can save memory of computer and improve the accuracy and speed greatly.It is a practice method in project.