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2D Non-separable Linear Canonical Transform (2D-NS-LCT) based cryptography


Liang Zhao, Inbarasan Munirajb, John Healyb, Ra’ed Malallahb, Xiao-Guang Cuid, James Ryleb, John Sheridan

Publication Type: 
Refereed Conference Meeting Proceeding
The 2D non-separable linear canonical transform (2D-NS-LCT) can describe a variety of paraxial optical systems. Digital algorithms to numerically evaluate the 2D-NS-LCTs are not only important in modeling the light field propagations but also of interest in various signal processing based applications, for instance optical encryption. Therefore, in this paper, for the first time, a 2D-NS-LCT based optical Double-random-Phase-Encryption (DRPE) system is proposed which offers encrypting information in multiple degrees of freedom. Compared with the traditional systems, i.e. (i) Fourier transform (FT); (ii) Fresnel transform (FST); (iii) Fractional Fourier transform (FRT); and (iv) Linear Canonical transform (LCT), based DRPE systems, the proposed system is more secure and robust as it encrypts the data with more degrees of freedom with an augmented key-space
Conference Name: 
in SPIE Optics + Optoelectronics, for April 2017
Digital Object Identifer (DOI): 
Publication Date: 
Conference Location: 
Czech Republic
Research Group: 
National University of Ireland, Dublin (UCD)
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