Comments on the complete generalized fractional Fourier transform

被引：0
|
作者：
Zheng, Liying [1 ]
Shi, Daming [2 ]
机构：
[1] Harbin Engn Univ, Sch Comp Sci & Technol, Harbin 150001, Peoples R China
[2] Kyungpook Natl Univ, Sch Elect Engn & Comp Sci, Taejon, South Korea
来源：
OPTICS COMMUNICATIONS | 2010年 / 283卷 / 06期
关键词：
Fractional Fourier transform; Fourier transform; Transform order; Period parameter;
D O I：
10.1016/j.optcom.2009.11.031
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this research, we thoroughly investigate the complete generalized fractional Fourier transform (CGFRFT) and draw the following conclusions that are different from the original literature: (1) The CGFRFT is not a generalized version, but a special case that ignores the marginal postulate; (2) If the period parameter is not a multiple of four, the CGFRFT can never perform a Fourier transform regardless of the value of the transform order. The simulation results of a rectangular signal support the above conclusions. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：917 / 919
页数：3
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