分数傅立叶变换核函数的分析与重构  

Analysis and Reconstruction of Kernel Function for a Class of Fractional Fourier Transform

作　　者：张静[1] 

机构地区：[1]黑龙江建筑职业技术学院

出　　处：《哈尔滨师范大学自然科学学报》2014年第3期16-20,共5页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省青年专项课题(GZD1212002)

摘　　要：通过利用核函数的重构过程,分析了利用不同的采样方式来研究分数傅立叶变换多样性之间的相互关系.得到了它与以往的在全周期上的等间隔采样不同的结果,该文主要在任意特定区间上进行等间隔的采样,分析了分数域上的采样定理及重构关系,得到了重构公式.通过数值仿真,分析了核函数重构公式中的系数,得到了它们之间的相互关系和一些重要性质.Reconstruction process by using kernel functions, the different sampling method is used to study the relationship between diversity of fractional Fourier transform. The result is different with past on the whole cycle sampling interval, the theorem and reconstruction of the interval sampling conducted on any given interval, are analyzed. And the reconstruction formulas are obtained. Through numerical simulation, the kernel function reconstruction formula of the coefficient is analyzed, the relationship between them and some important properties are obtained.

关 键 词：分数傅立叶变换 核函数 重构公式 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]