FRACTIONAL FOURIER DOMAINS

被引：120

作者：

OZAKTAS, HM

AYTUR, O

机构：

[1] Department of Electrical Engineering, Bilkent University, TR-06533 Bilkent, Ankara

来源：

SIGNAL PROCESSING | 1995年 / 46卷 / 01期

关键词：

FRACTIONAL FOURIER TRANSFORMS; TIME-FREQUENCY DISTRIBUTIONS; WIGNER DISTRIBUTION;

D O I：

10.1016/0165-1684(95)00076-P

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

It is customary to define the time-frequency plane such that time and frequency are mutually orthogonal coordinates. Representations of a signal in these domains are related by the Fourier transform. We consider a continuum of ''fractional'' domains making arbitrary angles with the time and frequency domains. Representations in these domains are related by the fractional Fourier transform. We derive transformation, commutation, and uncertainty relations among coordinate multiplication, differentiation, translation, and phase shift operators between domains making arbitrary angles with each other. These results have a simple geometric interpretation in time-frequency space.

引用

页码：119 / 124

页数：6

共 27 条

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