A special image encryption strategy based on a novel digital chaotic system and binary block compressed sensing for fixed-point DSP

The paper introduced an image encryption strategy that uses a novel digital chaotic system and block compressed sensing (BCS). It is better suited for fixed-point digital signal processors (DSP). Firstly, the digital logistic chaotic system and the digital Chebyshev chaotic systems are combined to create a novel digital chaotic system. After that, a binary measurement matrix is created using the suggested novel digital chaotic system. Next, the obtained images are processed in blocks and the image is compressed sensing by the measurement matrix. Finally, re-encrypting the cipher images by diffusion processing over a finite domain. The Projected Landwebe algorithm and wiener filter are used to speed up the decryption process and improve the quality of image decryption. Simulation tests and performance analysis demonstrate the strong unpredictability of the proposed digital chaotic system, when the computer word length is 32, the Lyapunov exponent is about 20. It can be used to generate an image encryption scheme that is resistant to noise and exhaustion attacks and yields superior image recovery quality. When the sampling rate is 0.25, the average PSNR value and MSSIM value of the recovered image are 28.1180 dB and 0.87904, and the average information entropy of the encrypted image is 7.9991.