热电偶特性曲线样条函数拟合的优化  

Optimization for Spline Function Fitting of TC Characteristic Curve

作　　者：唐慧强[1] 

机构地区：[1]南京气象学院信息工程系,江苏南京210044

出　　处：《仪表技术与传感器》2003年第12期44-47,共4页Instrument Technique and Sensor

基　　金：江苏省科技攻关项目BE2002327资助

摘　　要：介绍了优化的三次样条插值原理及对热电偶特性曲线的插值拟合应用。通过对样条函数三次非线性的分析, 求算出优化的插值节点间距,并利用非等距最小二乘样条插值来拟合特性曲线,通过插值节点的不断调整以优化插值, 使拟合精度提高。利用拟合结果,只需各三次的乘法与加法的运算量,普通微处理器就可实现优化的三次样条插值。Principals of optimal piecewise cubic spline interpolation and applications of interpolant fitting to the thermocouple characteristic curves are introduced.By analyzing nonlinearity of the cubic spline, the optimal interpolant knots are calculated,and the thermocouple characteristic curve is fitted by the nonuniform least square interpolation.By continual adjusting the interpolant knots, the fitting accuracy is increased.With the fitting result, only thrice multiplications and additions are needed to realize the optimal cubic spline interpolant by the ordinary microprocessor.

关 键 词：热电偶 特性曲线 三次样条插值 最小二乘法 拟合 优化 

分 类 号：TP212.11[自动化与计算机技术—检测技术与自动化装置]