摘要
本文首先介绍了正交多项式拟合测量数学模型参数的原理,然后通过对光栅测 量系统实验数据的最小二乘法和正交多项式处理,比较两者拟合曲线的残差平方 和,论证了进行实验数据数学模型高阶拟合时,应用正交多项式要优越于最小二乘 法。
In the first part of this paper, the writer introduces another way using the orthogonal polynomial, to calculate the parameters of mathematical modets in some measurements. Then, according to an example of data processing in grating measurement system, the writer compares the orthogonal polynomials fitting with least squares methods fitting , in terms of the sums of squares due to error, at last. the writer demonstrates that the orthogonal polynomial fitting is more superior than least squares methods fitting .in the case of high order fitting of the mathematical models.
出处
《上海计量测试》
2005年第6期15-17,共3页
Shanghai Measurement and Testing
关键词
正交多项式
最小二乘法
光栅测量系统
曲线
拟合
the orthogonal polynomial： least squares methods
grating measurment system
