Random discrete linear canonical transform

被引：32

作者：

Wei, Deyun ^{[1
]}

Wang, Ruikui ^{[2
]}

Li, Yuan-Min ^{[1
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China

[2] Xidian Univ, Sch Telecommun Engn, Xian 710071, Peoples R China

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2016年 / 33卷 / 12期

基金：

中国国家自然科学基金;

关键词：

FRACTIONAL FOURIER-TRANSFORM; OPTICAL-IMAGE ENCRYPTION; BAND-LIMITED SIGNALS; UNCERTAINTY PRINCIPLE; DOMAIN; DISCRETIZATION; ALGORITHM; EIGENFUNCTIONS; CONVOLUTION; PRODUCT;

D O I：

10.1364/JOSAA.33.002470

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Linear canonical transforms (LCTs) are a family of integral transforms with wide applications in optical, acoustical, electromagnetic, and other wave propagation problems. In this paper, we propose the random discrete linear canonical transform (RDLCT) by randomizing the kernel transform matrix of the discrete linear canonical transform (DLCT). The RDLCT inherits excellent mathematical properties from the DLCT along with some fantastic features of its own. It has a greater degree of randomness because of the randomization in terms of both eigenvectors and eigenvalues. Numerical simulations demonstrate that the RDLCT has an important feature that the magnitude and phase of its output are both random. As an important application of the RDLCT, it can be used for image encryption. The simulation results demonstrate that the proposed encryption method is a security-enhanced image encryption scheme. (C) 2016 Optical Society of America

引用

页码：2470 / 2476

页数：7

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