Application Of Chaos In Reconfigurable Logic And Image Encryption

At present,a lot of research results have been obtained on the study of chaos theory.These results include many aspects from phenomena of chaos found to chaotic systems designed,from chaotic dynamic analysis to chaotic control and synchronization,from mathematical model construction to actual circuit realization.A complete set of scientific theories of chaos have been formed.With the deepening research of chaos theory,scientists urgently hope to mix the excellent chaotic properties into the practical applications.In recent years,chaos theory has been applied to secure communication,image processing,bio-sensing,spread spectrum communication,large-scale integrated circuit design and neural network model building and so on.Nowadays,due to the bottleneck problem of the Moore's Law and the emergent demand of the national information security plan,searching for the continued or alternative approaches of Moore's Law and the related research on multimedia data security have been pushed to a new climax naturally.Based on the above-mentioned hot issues,this paper focuses on the application of chaos in reconfigurable logic circuits and image encryption.The research contents are mainly divided into the following three parts:First part: According to the nonlinear characteristics of FET,a nonlinear mapping circuit unit is designed,and the transmission characteristic equation of the unit is derived through theoretical analysis.By further bifurcation diagram analysis of the derived mathematical model,it is concluded that the one-dimensional mathematical model can change its transmission characteristic curve by controlling parameters,and then include chaos phenomenon.The chaotic characteristics of the circuit unit are utilized,and subsequently applied to the integrated circuit design to be mentioned below.In addition,a novel one-dimensional chaotic map is developed from the Logistic mapping in this paper.By comparing the Lyapunov exponent spectrum,bifurcation diagram and approximate entropy,it is proved that the proposed chaotic map has more complex chaotic characteristics and a wider range of chaotic regions.Second part: And now Moore's Law has begun to encounter bottlenecks.It will be an effective solution if we can design a device which performs more calculations with fixed quantitative transistors.Based on that,this paper designs a two-input single-output dynamic reconfigurable logic function integrated circuit with chaotic characteristics.The circuit can implement different digital functions along with each clock edge,without resetting for reconfiguration and designing additional independent circuits,which realizes real single output without additional parity judgment.Besides,the digital function of three-input and single-output is realized by the combining and the direct way,which opens the door for performing more complicated operations.The circuit has a friendly digital interface,rich functional relationships and can implement many logic operations through program control and combination design,which proved by circuit simulations and result analyses.The goal of improving hardware performance without increasing the number of transistors has been achieved,providing possibilities for more energy-efficient circuit systems.Third part: Considering that information security plays an increasingly important role in the current era,this paper designs a fast and secure image encryption and cloudassisted reconstruction image system based on the above improved logistic chaotic map.The system first sparsely represents the image,constructs the measurement matrix with the proposed chaotic map,compresses and measures the sparse data by using the compressed sensing technology,and then uses the image encryption technology to encrypt the measured data to ensure the security of the underlying data.After that the encrypted data is uploaded to the cloud server,and the cloud server relies on its own powerful computing capability to execute the decryption algorithm and the data reconstruction algorithm with large time loss,which greatly reduces the system execution time.Finally,the data user parses the original image from the cloud server.At the end of the paper,the effectiveness of the system is verified by engineering algorithms such as PSNR and NMSE.Combined with the key sensitivity,key space,adjacent pixel correlation and other analysis methods,the security and anti-aggression of the system are analyzed.