Randomization of the Fourier transform

被引:35
作者
Liu, Zhengjun [1 ]
Liu, Shutian [1 ]
机构
[1] Harbin Inst Technol, Dept Phys, Harbin 150001, Peoples R China
关键词
D O I
10.1364/OL.32.000478
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We have investigated the multiplicity and complexity in eigenvalues of the fractional Fourier transform and found that the ambiguity of the eigenvalues may indicate randomness. We have therefore proposed a method to randomize the Fourier transform. Such a random Fourier transform can be applied in the field of image encryption and decryption. (c) 2007 Optical Society of America.
引用
收藏
页码:478 / 480
页数:3
相关论文
共 13 条
[1]  
[Anonymous], 2000, FRACTIONAL FOURIER T
[2]   Irrational phase synchronization [J].
Baptista, MS ;
Boccaletti, S ;
Josic, K ;
Leyva, I .
PHYSICAL REVIEW E, 2004, 69 (05) :5
[3]   The discrete fractional Fourier transform [J].
Candan, Ç ;
Kutay, MA ;
Ozaktas, HM .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2000, 48 (05) :1329-1337
[4]   Multiplicity of fractional Fourier transforms and their relationships [J].
Cariolaro, G ;
Erseghe, T ;
Kraniauskas, P ;
Laurenti, N .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2000, 48 (01) :227-241
[5]   Exploiting randomness on continuous sets [J].
Li, Shuhai ;
Wang, Yumin .
INFORMATION SCIENCES, 2007, 177 (01) :192-201
[6]   Properties of the fractionalization of a Fourier transform [J].
Liu, ST ;
Zhang, JD ;
Zhang, Y .
OPTICS COMMUNICATIONS, 1997, 133 (1-6) :50-54
[7]   A discrete fractional random transform [J].
Liu, ZJ ;
Zhao, HF ;
Liu, ST .
OPTICS COMMUNICATIONS, 2005, 255 (4-6) :357-365
[8]   Some important fractional transformations for signal processing [J].
Lohmann, AW ;
Mendlovic, D ;
Zalevsky, Z ;
Dorsch, RG .
OPTICS COMMUNICATIONS, 1996, 125 (1-3) :18-20
[9]   Improved discrete fractional Fourier transform [J].
Pei, SC ;
Yeh, MH .
OPTICS LETTERS, 1997, 22 (14) :1047-1049
[10]   The multiple-parameter discrete fractional Fourier transform [J].
Pei, Soo-Chang ;
Hsue, Wen-Liang .
IEEE SIGNAL PROCESSING LETTERS, 2006, 13 (06) :329-332