Sampling of fractional bandlimited signals associated with fractional Fourier transform

被引：11
|
作者：
Wei, Deyun [1 ]
Ran, Qiwen [1 ,2 ]
Li, Yuanmin [3 ]
机构：
[1] Harbin Inst Technol, Natl Key Lab Tunable Laser Technol, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Nat Sci Res Ctr, Harbin 150001, Peoples R China
[3] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
OPTIK | 2012年 / 123卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Fractional Fourier transform; Fractional Fourier series; Sampling theorem; SERIES EXPANSION; PRODUCT THEOREM; CONVOLUTION;
D O I：
10.1016/j.ijleo.2011.02.024
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Fractional Fourier transform (FRFT) plays an important role in many fields of optics and signal processing. This paper considers the problem of reconstructing a fractional bandlimited signal with FRFT. We propose a novel reconstruction method for fractional bandlimited signals using the fractional Fourier series (FRFS). The advantage is that the sampling expansion can be deduced directly not based on the Shannon theorem. By utilizing the generalized form of Parseval's relation for complex FRFS, we obtain the sampling expansion for fractional bandlimited signals with FRFT. We show that the sampling expansion for fractional bandlimited signals with FRFT is a special case of Parseval's relation for complex FRFS. (C) 2011 Elsevier GmbH. All rights reserved.
引用
收藏
页码：137 / 139
页数：3
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