The Fractional Fourier Transform and Harmonic Oscillation

被引：0
|
作者：
M. Alper Kutay
Haldun M. Ozaktas
机构：
[1] The National Research Institute of Electronics and Cryptology (TUBITAK – UEKAE),The Scientific and Technical Research Council of Turkey
[2] Bilkent University,Department of Electrical Engineering
来源：
Nonlinear Dynamics | 2002年 / 29卷
关键词：
fractional Fourier transform; harmonic oscillation; Green's function; phase space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The ath-order fractional Fourier transform is a generalization ofthe ordinary Fourier transform such that the zeroth-order fractionalFourier transform operation is equal to the identity operation and thefirst-order fractional Fourier transform is equal to the ordinaryFourier transform. This paper discusses the relationship of thefractional Fourier transform to harmonic oscillation; both correspondto rotation in phase space. Various important properties of thetransform are discussed along with examples of commontransforms. Some of the applications of the transform are brieflyreviewed.
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页码：157 / 172
页数：15
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