Double random fractional Fourier-domain encoding for optical security

被引:202
作者
Unnikrishnan, G [1 ]
Singh, K [1 ]
机构
[1] Indian Inst Technol, Photon Grp Delhi, New Delhi 110016, India
关键词
fractional Fourier transform; optical encryption; random phase mask;
D O I
10.1117/1.1313498
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We propose a new optical encryption technique using the fractional Fourier transform. In this method, the data are encrypted to a stationary white noise by two statistically independent random phase masks in fractional Fourier domains. To decrypt the data correctly, one needs to specify the fractional domains in which the input plane, encryption plane, and output planes exist, in addition to the key used for encryption. The use of an anamorphic fractional Fourier transform for the encryption of two-dimensional data is also discussed. We suggest an optical implementation of the proposed idea. Results of a numerical simulation to analyze the performance of the proposed method are presented. (C) 2000 Society of Photo-Optical instrumentation Engineers. [S0091-3286(00)01811-0].
引用
收藏
页码:2853 / 2859
页数:7
相关论文
共 14 条
[1]   Product and convolution theorems for the fractional Fourier transform [J].
Almeida, LB .
IEEE SIGNAL PROCESSING LETTERS, 1997, 4 (01) :15-17
[2]   Design of dynamically adjustable anamorphic fractional Fourier transformer [J].
Erden, MF ;
Ozaktas, HM ;
Sahin, A ;
Mendlovic, D .
OPTICS COMMUNICATIONS, 1997, 136 (1-2) :52-60
[3]   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
[4]   Space-bandwidth product of optical signals and systems [J].
Lohmann, AW ;
Dorsch, RG ;
Mendlovic, D ;
Zalevsky, Z ;
Ferreira, C .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1996, 13 (03) :470-473
[5]   Encrypted optical memory system using three-dimensional keys in the Fresnel domain [J].
Matoba, O ;
Javidi, B .
OPTICS LETTERS, 1999, 24 (11) :762-764
[6]  
Mendlovic D., 1998, Optical Pattern Recognition, P89
[7]   Optical implementation of image encryption using random phase encoding [J].
Neto, LG ;
Sheng, YL .
OPTICAL ENGINEERING, 1996, 35 (09) :2459-2463
[8]   FRACTIONAL FOURIER DOMAINS [J].
OZAKTAS, HM ;
AYTUR, O .
SIGNAL PROCESSING, 1995, 46 (01) :119-124
[9]   CONVOLUTION, FILTERING, AND MULTIPLEXING IN FRACTIONAL FOURIER DOMAINS AND THEIR RELATION TO CHIRP AND WAVELET TRANSFORMS [J].
OZAKTAS, HM ;
BARSHAN, B ;
MENDLOVIC, D ;
ONURAL, L .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (02) :547-559
[10]   Digital computation of the fractional Fourier transform [J].
Ozaktas, HM ;
Ankan, O ;
Kutay, MA ;
Bozdagi, G .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (09) :2141-2150