Sampling theorems for signals periodic in the linear canonical transform domain

被引：30
作者：
Xiao, Li
Sun, Wenchang [1 ]
机构：
[1] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China
来源：
OPTICS COMMUNICATIONS | 2013年 / 290卷
基金：
中国国家自然科学基金;
关键词：
Linear canonical transforms; Bandlimited periodic signals; Sampling and reconstruction; BAND-LIMITED SIGNALS; FRACTIONAL FOURIER-TRANSFORM; COMPUTATION; FRESNEL;
D O I：
10.1016/j.optcom.2012.10.040
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In [E. Margolis, Y.C. Eldar, IEEE Trans. Signal Process. 56 (2008) 2728-2745], the authors derived a practical reconstruction formula for bandlimited periodic signals. It was shown that every bandlimited periodic signal can be perfectly reconstructed from finitely many nonuniformly spaced samples taken over a period. In this paper, we generalize this result in a broader sense. We obtain a similar reconstruction formula for a large class of signals, whose linear canonical transforms are bandlimited periodic functions. (c) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：14 / 18
页数：5
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