文献类型：期刊文献

中文题名：二维变换中的自傅里叶-菲涅耳函数

英文题名：Self-Fourier-Fresnel Functions for 2D Transform Case

作者：孟雅琴[1]

机构：[1]华东理工大学理学院,上海200237

年份：2010

卷号：36

期号：6

起止页码：862

中文期刊名：华东理工大学学报（自然科学版）

外文期刊名：Journal of East China University of Science and Technology

收录：CSTPCD;;Scopus;北大核心:【北大核心2008】；CSCD:【CSCD2011_2012】；

语种：中文

中文关键词：傅里叶变换;离散傅里叶变换;菲涅耳变换;离散菲涅耳变换;自傅里叶-菲涅耳函数

外文关键词：Fourier transform; discrete Fourier transform; Fresnel transform; discrete Fresnel transform; self-Fourier-Fresnel function

摘要：研究了二维变换中的自傅里叶-菲涅耳函数。为方便演算,提出了菲涅耳变换的一种新形式,证明了在一定的条件下,可构造自傅里叶-菲涅耳函数。其次,对于二维离散变换,提出了离散傅里叶变换和离散菲涅耳变换的新形式,证明了在一定条件下,可找到自离散傅里叶-菲涅耳函数。这些函数可用于光信息处理。
A function whose Fourier transform is itself is called a self-Fourier function. If the Fresnel transform of this function is also itself,then the function will be called a self-Fourier-Fresnel function（SFFrF）.For studying SFFrF,a new formula of Fresnel transform is proposed.It is shown that SFFrF can be found.For the discrete transform case,the new formulae of Fourier transform and Fresnel transform are proposed,respectively.Then,SFFrF can also be found for the discrete transform case.These functions can be applied for the optical information processing.