A Novel Image Encryption Algorithm Based on Fractional Fourier Transform and Chaotic System

In order to cope with the shortage of present image encryption algorithm, a novel image encryption algorithm based on chaotic system and fractional Fourier transform is proposed in this paper. The image encryption process includes two steps: first the image is encrypted by employing Fractional Fourier domain double random phase, then the confusion image is encrypted by using confusion matrix which is generated by chaotic system, and finally the cipher image is obtained. The security of the proposed algorithm depends on the sensitivity to the randomness of phase mask, the orders of FRFT and the initial conditions of chaotic system. Theoretical analysis and experimental results demonstrate that the algorithm is favorable.