基于区间逐次分半的连续傅里叶变换计算  

Computation of Continuous Fourier Transform Based on a Gradual Interval Bisection Method

作　　者：杨继业[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《甘肃联合大学学报（自然科学版）》2012年第1期1-3,26,共4页Journal of Gansu Lianhe University :Natural Sciences

基　　金：宁夏大学自然科学基金(ndzr09-41;ndzr10-35)

摘　　要：离散时间傅里叶变换是连续傅里叶变换的周期性延拓,离散时间傅里叶变换实质上是复化矩形数值积分计算连续Fourier变换,计算的误差较大.本文提出区间逐次分半计算连续傅里叶变换,在误差允许范围内可有效的提高精度.Discrete time Fourier transform（DTFT） is the periodic prolongation of continuous Fourier transform（CFT） and is essentially the computation of CFT based on composite rectangular quadrature formula.This approximation results existed relatively large error.In this paper,composite Simpson quadrature is proposed to compute CFT by gradual bisection of the integral interval.Error analysis is also presented.

关 键 词：傅里叶变换 数值积分 误差分析 

分 类 号：O24[理学—计算数学]