A novel image encryption algorithm based on fractional fourier transform and magic cube rotation

This paper proposes a novel image encryption algorithm based on the discrete fractional Fourier transform and an improved magic cube rotation scrambling algorithm. Through fractional Fourier transform and position scrambling, the proposed algorithm can achieve double image encryption in the time-frequency domain. Compared the encrypted images and decrypted images, the proposed image encryption algorithm has better performance than only using fractional Fourier transform.

[1]  F. H. Kerr,et al.  On Namias's fractional Fourier transforms , 1987 .

[2]  V. Namias.  The Fractional Order Fourier Transform and its Application to Quantum Mechanics , 1980 .

[3]  C. Werndl.  What Are the New Implications of Chaos for Unpredictability? , 2009, The British Journal for the Philosophy of Science.

[4]  X. Tian,et al.  A Scrambling Algorithm of Image Encryption Based on Rubik's Cube Rotation and Logistic Sequence , 2011, 2011 International Conference on Multimedia and Signal Processing.

[5]  Cagatay Candan,et al.  The discrete fractional Fourier transform , 2000, IEEE Trans. Signal Process..

[6]  Gozde Bozdagi Akar,et al.  Digital computation of the fractional Fourier transform , 1996, IEEE Trans. Signal Process..