An image encryption algorithm based on discrete fractional wavelet transform and quantum chaos

Abstract

Aiming at low security of traditional encryption methods, a new image encryption algorithm based on discrete fractional wavelet transform (DFRWT) and quantum Logistic mapping is proposed in this paper. Firstly, p-order multiscale decomposition is performed for the original image, with DFRWT regarded as decomposition tool. Then the obtained high and low frequency coefficients are shuffled in the time-fractional-frequency domain, followed by an inverse DFRWT to obtain a shuffled image. Finally, XOR operation is carried out between pseudo-random sequence generated by quantum Logistic chaotic and shuffled image, which achieves image diffusion to complete image encryption. Simulation results demonstrate that the algorithm has positive characteristics of large key space, good scrambling performance and quite strong robustness.