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Since the significantly low sampling rate and the determinacy of the measurement matrix, compressed sensing (CS) technique can be used for simultaneous image encryption and compression. However, some problems such as the huge size of the measurement matrix prevent its direct application. We find the solutions to the problems and design a simultaneous image encryption and compression scheme in this paper. Block CS and structural measurement matrix are employed for faster calculating speed and smaller storage space. Simulation results show circulant matrix constructed by Chen hyper chaotic permutation has a good performance in sparse signal projection. The proposed scheme has an obviously shorter encoding time than traditional image encryption and compression methods and its compression ratio is possible to be very high but limited by the current level of reconstruction technique. Security analysis also shows the proposed scheme has a robust security performance.

Simultaneous image encryption and compression scheme based on compressed sensing and Hyper chaos map