A Robust Chaotic Mapping System for Image Data Encryption and Its Complexity Optimal Control Method

Abstract

A robust chaotic mapping system and its complexity optimization control method for image data encryption, comprising the following steps: Step 1: Constructing a chaotic mapping system, calculating system fixed points and eigenvalue expressions; Step 2: Analyzing the system The influence of parameters on eigenvalues, determine the constant Lyapunov exponent characteristics of the mapping system within the infinite parameter range; Step 3: analyze the modulation effect of parameters on the position of the symmetrical non-zero fixed point of the mapping system, and determine the variation law of signal amplitude with parameters ; Step 4: Write a Matlab program, draw the Lyapunov exponent spectrum and bifurcation diagram about the bifurcation parameters, and analyze the robust chaotic characteristics and amplitude control characteristics of the system; Step 5: Based on the iterative range matching condition and Lyapunov Exponential definition, design complexity optimization control scheme of robust chaotic mapping system with Lyapunov exponent as the criterion.

Description

technical field [0001] The invention relates to a robust chaotic mapping system oriented to image data encryption and a complexity optimization control method thereof. Background technique [0002] The secure transmission of image data is a research hotspot in the field of modern communication, and the design of encryption algorithm is an important guarantee for the security of image data communication transmission. Traditional encryption algorithms such as IDEA, DES, AES, and RSA are designed based on content data such as text information. They have low encryption efficiency, complex structure, and large amount of calculation, which cannot meet the needs of real-time image data encryption with large amount of information and high redundancy [1] ]. Dedicated encryption schemes such as matrix transformation encryption, SCAN language encryption, shared storage encryption, transformation domain encryption and DNA encryption can further improve the security of image data encryp...

AI Technical Summary

Problems solved by technology

However, the current research on the chaos robustness of discrete maps is limited to the case where the robust factor is within a limited parameter interval, and the stability and complexity of chaos cannot be guaranteed [9], so it is not convenient to provide sufficient parameter keys

[0004] In summary, the discrete chaotic mapping system can be used to obtain an efficient and fast image encryption method, but in order to obtain the OPT image encryption communication implementation scheme under the unconditional security criterion, the discrete mapping system is required to be complex and robust within the infinite parameter range (real number parameter interval). Awesome Chaos Features

Images