An Image Compression and Encryption Algorithm Based on the Fractional-Order Simplest Chaotic Circuit

Abstract

Based on compressive sensing and fractional-order simplest memristive chaotic system, this paper proposes an image compression and encryption scheme. First, a fractional-order simplest memristive chaotic circuit system is designed. The dynamic characteristics of the chaotic system are analyzed by the phase diagram, the Lyapunov exponent’s spectrum, and the bifurcation diagram to determine the parameters and pseudo-random sequences used in the encryption scheme. Secondly, an encryption scheme based on compressive sensing is designed. This scheme compresses the image twice to fully reduce the storage cost, and scrambles the pixel matrix twice through block scrambling and zigzag transformation, and then uses chaotic pseudo-random sequence and GF (17) domain diffusion image matrix to obtain the final cipher image. Finally, simulation results and performances analysis indicate that the scheme still has good reconstruction performance, even when the compression ratio is 0.25, and the security analysis shows that it can resist various attacks and has high security.