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.
出处
《仪表技术与传感器》
CSCD
北大核心
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
