A discrete fractional angular transform

被引：22
作者：
Liu, Zhengjun [1 ,2 ]
Ahmad, Muhammad Ashfaq [1 ,3 ]
Liu, Shutlan [1 ]
机构：
[1] Harbin Inst Technol, Dept Phys, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Dept Automat Measurement & Control Engn, Harbin 150001, Peoples R China
[3] COMSATS Inst Informat Technol, Dept Phys, Lahore 54000, Pakistan
来源：
OPTICS COMMUNICATIONS | 2008年 / 281卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Fourier transform; fractional transform; fractional Fourier transform; random transform;
D O I：
10.1016/j.optcom.2007.11.012
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A new discrete fractional transform defined by two parameters (angle and fractional order) is presented. All eigenvectors of the transform are obtained by an angle using recursion method. This transform is named as discrete fractional angular transform (DFAT), The computational load of kernel matrix of the DFAT is minimum than all other transforms with fractional order. This characteristics has very important practical applications in signal and image processing. Numerical results and the mathematical properties of this transform are also given. As fractional Fourier transform, this transform can be applied in one and two dimensional signal processing. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：1424 / 1429
页数：6
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