A novel image encryption algorithm based on compressed sensing theory and hyper-chaotic system

摘要

A novel image encryption algorithm is proposed based on compressed sensing theory and hyper-chaotic system. This algorithm can improve the flaws of traditional image encryption methods such as low safety, strong information correction and high cost of storage and transmission. In this algorithm, we combine compressed sensing with scrambling and diffusion scheme through hyper-chaotic Lorenz map. In the process of compressed sensing, the measurement matrix is designed by chaotic sequence and the discrete wavelet transform matrix is selected as sparse matrix. Then plaintext-related scrambling and diffusion algorithm is used to further strengthen the ability of the encryption algorithm to resist differential attacks. Simulation results and security analyses verify that the algorithm has the advantages of strong confidentiality, large key space and high reconstruction accuracy.