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Generalized formulation of an encryption system based on a joint transform correlator and fractional Fourier transform
Vilardy Ortiz, Juan Manuel; Torres, Yezid; Millán Garcia-Varela, M. Sagrario; Pérez Cabré, Elisabet
Universitat Politècnica de Catalunya. Departament d'Òptica i Optometria; Universitat Politècnica de Catalunya. GOAPI - Grup d'Òptica Aplicada i Processament d'Imatge
We propose a generalization of the encryption system based on double random phase encoding (DRPE) and a joint transform correlator (JTC), from the Fourier domain to the fractional Fourier domain (FrFD) by using the fractional Fourier operators, such as the fractional Fourier transform (FrFT), fractional traslation, fractional convolution and fractional correlation. Image encryption systems based on a JTC architecture in the FrFD usually produce low quality decrypted images. In this work, we present two approaches to improve the quality of the decrypted images, which are based on nonlinear processing applied to the encrypted function (that contains the joint fractional power spectrum, JFPS) and the nonzero-order JTC in the FrFD. When the two approaches are combined, the quality of the decrypted image is higher. In addition to the advantages introduced by the implementation of the DRPE using a JTC, we demonstrate that the proposed encryption system in the FrFD preserves the shift-invariance property of the JTC-based encryption system in the Fourier domain, with respect to the lateral displacement of both the key random mask in the decryption process and the retrieval of the primary image. The feasibility of this encryption system is verified and analyzed by computer simulations.
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
Àrees temàtiques de la UPC::Ciències de la visió::Òptica física
Data encryption (Computer science)
Correlators
Fourier transformations
encryption and decryption systems
joint transform correlator
double random phase encoding
fractional Fourier transform
fractional traslation
fractional convolution
fractional correlation
OPTICAL-IMAGE ENCRYPTION
RANDOM-PHASE ENCRYPTION
PLAINTEXT ATTACK
FRESNEL DOMAIN
DIGITAL HOLOGRAPHY
ARCHITECTURE
KEYS
PROCESSOR
Encriptació de dades (Informàtica)
Fourier, Transformacions de
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Article - Draft
Artículo
Institute of Physics (IOP)
         

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