Digital double random amplitude image encryption method based on the symmetry property of the parametric discrete Fourier transform

Toufik Bekkouche; Saad Bouguezel; Toufik Bekkouche

doi:10.1117/1.JEI.27.2.023033

26 April 2018 Digital double random amplitude image encryption method based on the symmetry property of the parametric discrete Fourier transform

Toufik Bekkouche, Saad Bouguezel, Toufik Bekkouche

Author Affiliations +

Journal of Electronic Imaging, Vol. 27, Issue 2, 023033 (April 2018). https://doi.org/10.1117/1.JEI.27.2.023033

Abstract

We propose a real-to-real image encryption method. It is a double random amplitude encryption method based on the parametric discrete Fourier transform coupled with chaotic maps to perform the scrambling. The main idea behind this method is the introduction of a complex-to-real conversion by exploiting the inherent symmetry property of the transform in the case of real-valued sequences. This conversion allows the encrypted image to be real-valued instead of being a complex-valued image as in all existing double random phase encryption methods. The advantage is to store or transmit only one image instead of two images (real and imaginary parts). Computer simulation results and comparisons with the existing double random amplitude encryption methods are provided for peak signal-to-noise ratio, correlation coefficient, histogram analysis, and key sensitivity.

Citation Download Citation

Toufik Bekkouche, Saad Bouguezel, and Toufik Bekkouche "Digital double random amplitude image encryption method based on the symmetry property of the parametric discrete Fourier transform," Journal of Electronic Imaging 27(2), 023033 (26 April 2018). https://doi.org/10.1117/1.JEI.27.2.023033

Received: 18 October 2017; Accepted: 5 April 2018; Published: 26 April 2018

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