首页 | 本学科首页   官方微博 | 高级检索  
检索        

二维变换中的自傅里叶-菲涅耳函数
引用本文:孟雅琴.二维变换中的自傅里叶-菲涅耳函数[J].医学教育探索,2010(6):862-865.
作者姓名:孟雅琴
作者单位:华东理工大学理学院,上海 200237
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。

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

Self-Fourier-Fresnel Functions for 2D Transform Case
MENG Ya-qin.Self-Fourier-Fresnel Functions for 2D Transform Case[J].Researches in Medical Education,2010(6):862-865.
Authors:MENG Ya-qin
Institution:School of Science, East China University of Science and Technology, Shanghai 200237, China
Abstract: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.
Keywords:Fourier transform  discrete Fourier transform  Fresnel transform  discrete Fresnel transform  self-Fourier-Fresnel function
点击此处可从《医学教育探索》浏览原始摘要信息
点击此处可从《医学教育探索》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号