Journal ArticleDOI
Double random fractional Fourier domain encoding for optical security
G. Unnikrishnan,Kehar Singh +1 more
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TLDR
A new optical encryption technique using the fractional Fourier transform to decrypt the data correctly, in which the input plane, encryp- tion plane, and output planes exist, in addition to the key used for encryption.Abstract:
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, encryp- tion plane, and output planes exist, in addition to the key used for en- cryption. 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 pre- sented. © 2000 Society of Photo-Optical Instrumentation Engineers. (S0091-3286(00)01811-0)read more
Citations
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Journal ArticleDOI
Asymmetric cryptosystem based on phase-truncated Fourier transforms.
Wan Qin,Xiang Peng +1 more
TL;DR: Owing to the nonlinear operation of phase truncation, high robustness against existing attacks could be achieved and a set of simulation results shows the validity of proposed asymmetric cryptosystem.
Journal ArticleDOI
Optical image encryption by random shifting in fractional Fourier domains
TL;DR: A new technique based on a random shifting, or jigsaw, algorithm is proposed, which does not require the use of phase keys for decrypting data and shows comparable or superior robustness to blind decryption.
Journal ArticleDOI
A review of optical image encryption techniques
TL;DR: This overview allows the numerical simulations of the corresponding optical encryption systems, and the extra degree of freedom (keys) provided by different techniques that enhance the optical encryption security, to be generally appreciated and briefly compared and contrasted.
Journal ArticleDOI
Double image encryption based on random phase encoding in the fractional Fourier domain
TL;DR: A novel image encryption method is proposed by utilizing random phase encoding in the fractional Fourier domain to encrypt two images into one encrypted image with stationary white distribution that can be recovered without cross-talk.
Journal ArticleDOI
Image encryption and the fractional Fourier transform
TL;DR: A measure of the strength/robustness of the level of encryption of the various techniques is proposed and a comparison is carried out between the methods.
References
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Journal ArticleDOI
Optical image encryption based on input plane and Fourier plane random encoding.
Philippe Réfrégier,Bahram Javidi +1 more
TL;DR: A new optical encoding method of images for security applications is proposed and it is shown that the encoding converts the input signal to stationary white noise and that the reconstruction method is robust.
Journal ArticleDOI
Digital computation of the fractional Fourier transform
TL;DR: An algorithm for efficient and accurate computation of the fractional Fourier transform for signals with time-bandwidth product N, which computes the fractionsal transform in O(NlogN) time.
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Image rotation, Wigner rotation, and the fractional Fourier transform
TL;DR: In this article, the degree p = 1 is assigned to the ordinary Fourier transform and the degree P = 1/2 to the fractional transform, where p is the degree of the optical fiber.
Journal ArticleDOI
Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms
TL;DR: Convolution, filtering, and multiplexing of signals in fractional domains are discussed, revealing that under certain conditions one can improve on the special cases of these operations in the conventional space and frequency domains.
Journal ArticleDOI
Encrypted optical memory system using three-dimensional keys in the Fresnel domain.
Osamu Matoba,Bahram Javidi +1 more
TL;DR: Encryption and decryption of optical memory in a LiNbO(3) :Fe photorefractive crystal by use of angular multiplexing is demonstrated.
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