累加正弦化混沌系统模型的性能分析  

Performance Analysis of Additive Sinusoidal Chaotic System Model

作　　者：李忠洪 王蕊 王洁 李国楠 罗海军[1,2] LI Zhonghong;WANG Rui;WANG Jie;LI Guonan;LUO Haijun(College of Physics and Electronic Engineering,Chongqing Normal University,Chongqing 401331,China;National Center for Applied Mathematics,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学物理与电子工程学院,重庆401331 [2]重庆师范大学国家应用数学中心,重庆401331

出　　处：《重庆师范大学学报（自然科学版）》2024年第5期95-105,共11页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然基金青年科学基金项目(No.51507023);重庆市自然科学基金面上项目(No.cstc2020jcyj-msxmX0726);重庆市教育委员会科技项目重点项目(No.KJZD-K202100506);重庆市高校与中国科学院附属机构合作项目(No.HZ2021007)。

摘　　要：为进一步提高现有的混沌系统的复杂度,提出了累加正弦化混沌系统的增强型模型(additive sinusoidal chaotic system model,ASCSM)。该模型通过将3个一维正弦化的传统混沌映射(Logistic、Sine和Fraction映射)两两结合来增强混沌系统的复杂程度。首先,通过理论分析证明了ASCSM的性能,并根据复杂度指标(Lyaponuv指数、谱熵和C0复杂度)仿真分析了增强后的混沌映射的动态特性,结果表明增强后的混沌映射较种子混沌映射性能更好。其次,基于数字信号处理器平台,利用ASCSM产生随机序列验证了该模型在硬件系统上实现的可行性。最后,为了与传统混沌映射在图像加密中的应用能力相比较,将这些模型作为加密算法的异或序列生成器,通过各种加密评估指标证明了新模型在加密应用中具有更高的保密性。To further increase the complexity of existing chaotic systems,the work proposes the Additive Sinusoidal Chaotic System Model(ASCSM),which adds two one-dimensional sinusoidalized conventional chaotic mappings(Logistic,Sine,Fraction)to enhance the complexity of chaotic systems.First,the performance of ASCSM is proved by theoretical analysis,and the dynamic characteristics of the enhanced chaotic mapping are simulated and analyzed according to the complexity metrics(Lyapunov exponent,spectral entropy,complexity),and the results show that the enhanced chaotic mappings performs better compared to the seed chaotic mappings.Secondly,based on the digital signal processor(DSP)platform,the feasibility of implementing the model on a hardware system is verified by generating random sequences using ASCSM.Finally,in order to compare its capability with traditional chaotic mappings in image encryption using these models as XOR sequence generators for encryption algorithms.Various cryptographic evaluation metrics demonstrate that the new model has higher confidentiality in cryptographic application.

关 键 词：混沌模型 Lyaponuv指数 谱熵 硬件实现 混沌加密 

分 类 号：TN911.7[电子电信—通信与信息系统]