Abstract
In this paper, a new three-dimensional chaotic system is proposed for image encryption. The core of the encryption algorithm is the combination of chaotic system and compressed sensing, which can complete image encryption and compression at the same time. The Lyapunov exponent, bifurcation diagram and complexity of the new three-dimensional chaotic system are analyzed. The performance analysis shows that the chaotic system has two positive Lyapunov exponents and high complexity. In the encryption scheme, a new chaotic system is used as the measurement matrix for compressed sensing, and Arnold is used to scrambling the image further. The proposed method has better reconfiguration ability in the compressible range of the algorithm compared with other methods. The experimental results show that the proposed encryption scheme has good encryption effect and image compression capability.
Highlights
With the rapid development of data network transmission technology, security issues regarding information transmission in communication systems have attracted wide attention from scholars who are devoted to solving them
In the encryption scheme, a new chaotic system is used as the measurement matrix for compressed sensing, and Arnold is used to scramble the image further
Lyapunov of theof new three-dimensional chaotic system designed in this paper shown in Figure value among the Lyapunov exponents can be taken as anare indication that there is chaotic motion; and the greater the number of greater-than-zero Lyapunov exponents present, the greater the complexity of the chaotic motion
Summary
With the rapid development of data network transmission technology, security issues regarding information transmission in communication systems have attracted wide attention from scholars who are devoted to solving them. With the increasing demand for digital image transmission, how to reduce the data transmission amount and storage capacity under the premise of ensuring the security, robustness and anti-attack of the encryption method is the key problem in the practical application of the image encryption method. This is the purpose of this article. In order to better enhance the reconstruction effect of compressed images and improve the security of encrypted images, this paper proposes a compressed sensing image encryption scheme based on new three-dimensional chaos. The security of the encryption algorithm is analyzed, and the proposed encryption algorithm is verified from the aspects of key space, statistical analysis, information entropy and differential analysis, which can resist various attacks
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