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
    Baptista, MS
    Boccaletti, S
    Josic, K
    Leyva, I
    [J]. PHYSICAL REVIEW E, 2004, 69 (05): : 5
  • [3] The discrete fractional Fourier transform
    Candan, Ç
    Kutay, MA
    Ozaktas, HM
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2000, 48 (05) : 1329 - 1337
  • [4] Multiplicity of fractional Fourier transforms and their relationships
    Cariolaro, G
    Erseghe, T
    Kraniauskas, P
    Laurenti, N
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2000, 48 (01) : 227 - 241
  • [5] Exploiting randomness on continuous sets
    Li, Shuhai
    Wang, Yumin
    [J]. INFORMATION SCIENCES, 2007, 177 (01) : 192 - 201
  • [6] Properties of the fractionalization of a Fourier transform
    Liu, ST
    Zhang, JD
    Zhang, Y
    [J]. OPTICS COMMUNICATIONS, 1997, 133 (1-6) : 50 - 54
  • [7] A discrete fractional random transform
    Liu, ZJ
    Zhao, HF
    Liu, ST
    [J]. OPTICS COMMUNICATIONS, 2005, 255 (4-6) : 357 - 365
  • [8] Some important fractional transformations for signal processing
    Lohmann, AW
    Mendlovic, D
    Zalevsky, Z
    Dorsch, RG
    [J]. OPTICS COMMUNICATIONS, 1996, 125 (1-3) : 18 - 20
  • [9] Improved discrete fractional Fourier transform
    Pei, SC
    Yeh, MH
    [J]. OPTICS LETTERS, 1997, 22 (14) : 1047 - 1049
  • [10] The multiple-parameter discrete fractional Fourier transform
    Pei, Soo-Chang
    Hsue, Wen-Liang
    [J]. IEEE SIGNAL PROCESSING LETTERS, 2006, 13 (06) : 329 - 332