摘要
为测定空间一任意放置的抛物面形状的天线反射面及其形变量,提出了基于天线表面离散点坐标进行抛物面拟合及其误差评定的方法。论述了运用Jacob i变换方法来处理系数相关性问题,并探讨了将通用系数形式转化为标准旋转抛物面方程的方法,从而求得抛物面在空间的位置、方向和大小。阐述了一种新颖的基于迭代思想的抛物面误差评定方法。实验结果表明该方法拟合精度可达0.1%,适用性广。
In order to derive the equations of paraboloid surface and its distortion in space, in this paper we put forward a method of paraboloid surface fitting and error estimation by using coordinates of points spreaded around it. Jacobi transformation is used to find correlations among coefficients. Then we introduce a method to transform general conicoid to standard paraboloid equa- tion. The location, direction and size of paraboloid are obtained. The paper puts forward a novel method of error estimation based on iteration. The results indicate that the precision can achieve 0.1% and has wide applicability.
出处
《现代雷达》
CSCD
北大核心
2006年第5期58-62,共5页
Modern Radar
关键词
抛物面拟合
Jacobi法
天线反射面
误差评定
paraboloid fitting
Jacobi method
surface of antennas reflector
error estimation
