【摘要】 通过实验获得的测量信号往往是一系列离散的数据{xi,yi,i=1,2,3…,N,}它们反映了2个物理量之间的函数关系:y=f(x)。当要获知该函数关系中的未知测量值时,常要用到代数插值的方法。本文详细介绍了Lagrange插值,Newton插值和Hermite插值等插值方法的数学原理。通过在MATLAB操作平台上进行算法编程,对一组实验测量信号分别进行3种插值处理,最后比较这些插值方法的优劣。更多还原

【Abstract】 A series of discrete experiment data {xi,yi,i=1,2,3,…N,} can be obtained through an experiment.They reflect a certain relationship in a form of function between a couple of physics parameters,y=f(x).When some unknown values complying with this function are in need,interpolation will be frequently used.This paper exquisitely introduces three different interpolation methods:Lagrange Interpolation,Newton Interpolation,and Hermite Interpolation.An arithmetic program is realized on MATLAB,furthermore,some measurement signals are analyzed by means of three methods respectively,and the contrast of these methods is presented eventually.更多还原