Design and DSP implementation of a fractional-order detuned laser hyperchaotic circuit with applications in image encryption

In this paper, a fractional-order hyperchaotic detuned laser system (FHDLS) is proposed, and a novel image cryp-tosystem with high-security performance is designed by combining FHDLS, improved shuffling algorithm, and DNA mutation diffusion algorithm. Firstly, the complex dynamics of FHDLS is researched by phase diagram, bifur-cation diagram, Lyapunov exponential spectrum, and spectral entropy (SE) complexity. The attractor coexistence phenomenon of the system is analyzed from different initial values for given parameters. Meanwhile, the ran-domness of the proposed FHDLS is verified by the correlation. Then, the FHDLS is implemented by the analog cir-cuit and the digital hardware (Digital Signal Processing, DSP), respectively. Finally, make use of these excellent characteristics, and perturb the initial values and chaotic state of the system through Secure Hash Algorithm 256 (SHA-256). Then the pixel-level and bit-level replacement and transformation operations are performed on the image respectively, to implement a chaos-based image cryptosystem. The regimen performs one scram-bled and diffusion together and one diffusion operation to achieve maximum confusion and diffusion. To demon-strate the safety performance of the proposed image cryptographic regimen, standard security analyses is adopted, including histogram, correlation, information entropy, security key, anti-differential attack, robustness, etc., and it is compared with the existing advanced algorithms. The experimental results indicate that the regi -men works well in encryption and can resist various attacks effectively, and the FHDLS has wide application pros-pects in image encryption. (c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper proposes a high-security image cryptosystem based on a fractional-order hyperchaotic detuned laser system (FHDLS), an improved shuffling algorithm, and a DNA mutation diffusion algorithm. The experimental results demonstrate that the proposed system performs well in encryption and can effectively resist various attacks.