Fractional Fourier transform of bandlimited periodic signals and its sampling theorems

被引：17
|
作者：
Sharma, KK [1 ]
Joshi, SD [1 ]
机构：
[1] Indian Inst Technol, Dept Elect Engn, New Delhi, India
来源：
OPTICS COMMUNICATIONS | 2005年 / 256卷 / 4-6期
关键词：
fractional Fourier transform; periodic signals; sampling theorems;
D O I：
10.1016/j.optcom.2005.07.003
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this correspondence, some features of the fractional Fourier transform (FRFT) of the bandlimited periodic signals are discussed. Two sampling relations in the context of FRFT domain bandlimited, periodic signals are also presented. More specifically, it is shown that only 2K + 1 coefficients are sufficient to reconstruct any FRFT domain bandlimited periodic signal, where K is the order of the highest nonzero harmonic component in the particular FRFT domain in which the signal is bandlimited. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：272 / 278
页数：7
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