最小二乘法曲线拟合及优化算法研究

Research on Least Square Curve Fitting and Optimization Algorithm

简要地阐述了最小二乘法曲线拟合的概念,给出了多项式曲线拟合的原理,并在自变量为自然数序列的情况下,进行了二次曲线多项式拟合的公式推导,推导过程中给出了一种优化算法,该优化算法计算过程简单,计算结果精确,可以广泛应用于数据采集与处理系统中。

This paper simply introduces the definition of least square methods curve fitting.The principle of polynomial curve fitting is given.When the independent variable is a natural number sequence,the polynomial fitting formula of quadratic curve is derived.In the process of derivation,a simplified algorithm is given in this paper.The simplified algorithm has the advantages of simple calculation process and accurate calculation results,which can be widely used in data acquisition and processing system.