The fractional Fourier transform and harmonic oscillation

被引：16
|
作者：
Kutay, MA
Ozaktas, HM
机构：
[1] UEKEA, TUBITAK, Sci & Tech Res Council Turkey, Natl Res Inst Elect & Cryptol, TR-06100 Ankara, Turkey
[2] Bilkent Univ, Dept Elect Engn, TR-06533 Bilkent, Turkey
来源：
NONLINEAR DYNAMICS | 2002年 / 29卷 / 1-4期
关键词：
fractional Fourier transform; harmonic oscillation; Green's function; phase space;
D O I：
10.1023/A:1016543123400
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The ath-order fractional Fourier transform is a generalization of the ordinary Fourier transform such that the zeroth-order fractional Fourier transform operation is equal to the identity operation and the first-order fractional Fourier transform is equal to the ordinary Fourier transform. This paper discusses the relationship of the fractional Fourier transform to harmonic oscillation; both correspond to rotation in phase space. Various important properties of the transform are discussed along with examples of common transforms. Some of the applications of the transform are briefly reviewed.
引用
收藏
页码：157 / 172
页数：16
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