Research On Image Encryption Algorithm Based On Chaotic System And Compressed Sensing

In the information age,people widely use digital images as a carrier for information dissemination and storage,and images play an increasingly important role in production and life,and the importance of image information security protection is becoming more and more prominent,while image encryption technology is one of the important means to improve the security of digital images.Image encryption technology refers to the conversion of image information into cipher text through specific algorithms to achieve the protection of image content and ensure the security of the transmission process.The traditional encryption algorithm in image encryption has the problems of low encryption efficiency,poor security and high burden of hardware equipment,which cannot meet the practical application requirements.The proposed chaos theory brings new ideas to the encryption field,and the image encryption algorithm designed by using the characteristics of chaos such as randomness,high dimensionality and nonlinearity can effectively resist various attacks.However,in digital image encryption,the storage and transmission of these data require huge storage space,and compression perception technology is developed to solve this problem.As a new signal processing theory,compression perception can compress and reconstruct the signal at a lower sampling rate to convert high-dimensional data into low-dimensional data,so as to achieve the purpose of reducing storage burden and transmission cost,while the compression process At the same time,the compression process itself is also a kind of encryption,and the application of compressed sensing theory in the field of digital image encryption can greatly improve the efficiency of image encryption and guarantee the security of images.In this paper,we propose a more efficient,secure and reliable image encryption algorithm by combining the advantages of chaotic image encryption and compressed sensing,while avoiding the shortcomings of each of them.To better evaluate the performance of the newly proposed TCM chaotic system,this section presents a new chaotic mapping,named TCM,by bifurcation diagram,Lyapunov exponent,phase space diagram,traj ectory diagram,sensitivity,self correlation,etc.to analyze the system in detail.To confirm the practicality of TCM,a partial Hadamard measurement matrix design based on TCM is proposed and applied to the compressive perception algorithm for digital images,and the quality of compressed reconstructed images is compared and analyzed with other algorithms,which confirms the good effect of the measurement matrix and also shows that TCM has engineering practicality.In this paper,we propose a DNA chunking dynamic encryption algorithm based on compressed sensing and TCM.The algorithm consists of three parts:image scrambling,compression perception,and DNA encryption.The image scrambling part uses a newly designed Zigzag transform consisting of a local transform and a global random starting transform,the compression perception part uses a discrete wavelet transform to represent the image sparsely,and the image is reconstructed by the OMP algorithm.DNA encryption is controlled by Chen hyperchaotic system,TCM chaotic system and Logistic chaotic mapping,and the encryption mechanism is dynamic encryption in blocks,and Hamming distance update key flow is introduced to control the secondary operation to achieve the effect of diffusion encryption.Finally,the encryption scheme is analyzed in simulation experiments,and the results prove that the encryption algorithm has good security and image reconstruction performance.