A discrete fractional random transform

被引：76

作者：

Liu, ZJ ^{[1
]}

Zhao, HF ^{[1
]}

Liu, ST ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Phys, Harbin 150001, Peoples R China

来源：

OPTICS COMMUNICATIONS | 2005年 / 255卷 / 4-6期

关键词：

fractional Fourier transform; discrete random transform; cryptography; image encryption and decryption;

D O I：

10.1016/j.optcom.2005.06.031

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We propose a discrete fractional random transform based on a generalization of the discrete fractional Fourier transform with an intrinsic randomness. Such discrete fractional random transform inheres excellent mathematical properties of the fractional Fourier transform along with some fantastic features of its own. As a primary application, the discrete fractional random transform has been used for image encryption and decryption. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：357 / 365

页数：9

共 17 条

[1] THE FRACTIONAL FOURIER-TRANSFORM AND TIME-FREQUENCY REPRESENTATIONS [J].

ALMEIDA, LB .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (11) :3084-3091

[2]

[Anonymous], 2000, FRACTIONAL FOURIER T

[3]

Chui C. K., 1992, An introduction to wavelets, V1

[4] EIGENVECTORS AND FUNCTIONS OF THE DISCRETE FOURIER-TRANSFORM [J].

DICKINSON, BW ;

STEIGLITZ, K .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1982, 30 (01) :25-31

[5]

Goodman J. W., 1968, INTRO FOURIER OPTICS, P129

[6] Optical image encryption by cascaded fractional Fourier transforms with random phase filtering [J].

Liu, ST ;

Yu, L ;

Zhu, BH .

OPTICS COMMUNICATIONS, 2001, 187 (1-3) :57-63

[7] Generalized fractional Fourier transforms [J].

Liu, ST ;

Jiang, JX ;

Zhang, Y ;

Zhang, JD .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (03) :973-981

[8] Optical image encryption with multistage and multichannel fractional Fourier-domain filtering [J].

Liu, ST ;

Mi, QL ;

Zhu, BH .

OPTICS LETTERS, 2001, 26 (16) :1242-1244

[9] IMAGE ROTATION, WIGNER ROTATION, AND THE FRACTIONAL FOURIER-TRANSFORM [J].

LOHMANN, AW .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (10) :2181-2186

[10] ON NAMIASS FRACTIONAL FOURIER-TRANSFORMS [J].

MCBRIDE, AC ;

KERR, FH .

IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 39 (02) :159-175

← 1 2 →