Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Affine cryptosystem of double-random-phase encryption based on the fractional Fourier transform

Not Accessible

Your library or personal account may give you access

Abstract

An affine mapping mathematical expression of the double-random-phase encryption technique has been deduced utilizing the matrix form of discrete fractional Fourier transforms. This expression clearly describes the encryption laws of the double-random-phase encoding techniques based on both the fractional Fourier transform and the ordinary Fourier transform. The encryption process may be regarded as a substantial optical realization of the affine cryptosystem. It has been illustrated that the encryption process converts the original image into a white Gaussian noise with a zero-mean value. Also, the decryption process converts the data deviations of the encrypted image into white Gaussian noises, regardless of the type of data deviations. These noises superimpose on the decrypted image and degrade the signal-to-noise ratio. Numerical simulations have been implemented for the different types of noises introduced into the encrypted image, such as the white noise with uniform distribution probability, the white noise with Gaussian distribution probability, colored noise, and the partial occlusion of the encrypted image.

© 2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Security-enhanced multiple-image encryption based on quick response codes and modified double random phase encoding in the fractional Fourier transform domain

Zhihan Wang, Yanfeng Su, Xunyuan Wang, Boyu Wang, Shun Li, Chen Liu, Jinsong Li, Zhijian Cai, and Wenqiang Wan
Appl. Opt. 61(24) 7255-7264 (2022)

Asymmetric double-image encryption based on cascaded discrete fractional random transform and logistic maps

Liansheng Sui, Kuaikuai Duan, Junli Liang, and Xinhong Hei
Opt. Express 22(9) 10605-10621 (2014)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (26)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved