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.
Highlights
The rapid development of communication and Internet technology has made digital images widely used in various fields
The encrypted image is smaller than the original image, and the encrypted image does not recognize any plaintext image information, which means that the encryption algorithm can compress the original image and effectively encrypt the image information
The dynamic analysis indicates that the fractional-order simplest memristive chaotic system is highly sensitive to initial values and parameters
Summary
The rapid development of communication and Internet technology has made digital images widely used in various fields. H. Hu et al.: Image Compression and Encryption Algorithm Based on the Fractional-Order Simplest Chaotic Circuit rate [18], [19]. Et al [23] proposed an image encryption scheme based on the memristive chaotic system, basic cellular automata and compressive sensing In this algorithm, the key is relevant to the plaintext, which can effectively resist the plaintext attacks. To further improve the security and the image reconstruction accuracy, an image encryption algorithm based on compressive sensing and fractional-order simplest memristive chaotic system is proposed. Where || · ||0 represents the l0-norm of a vector In this encryption scheme, the plaintext image pixels are sparse by DCT transformation, the measurement matrix is generated by the chaotic pseudo-random sequences and the Hadamard matrix. The image is reconstructed by the orthogonal matching pursuit (OMP) algorithm
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