基于Logistic混沌序列的改进算法及其性能分析  

Design and Performance Analysis for Improved Algorithm Based on Logistic Chaotic Binary Sequences

作　　者：范春雷[1] 丁群[1] 

机构地区：[1]黑龙江大学信号与信息处理重点实验室,哈尔滨150080

出　　处：《电子器件》2015年第4期759-763,共5页Chinese Journal of Electron Devices

基　　金：国家自然科学基金项目(61471158);教育部高等学校博士学科点专项科研基金项目(20132301110004)

摘　　要：针对目前混沌系统数字化后受硬件有限精度的影响,使得数字混沌0/1序列最终都将变成类短周期序列,降低了混沌加密系统的安全性。为克服此缺点一种新型的Logistic混沌序列算法被提出,此算法将Logistic混沌序列与Arnold变换相结合,并通过实验对该算法产生的二值序列的自相关性、随机性等性能做了对比分析。同时利用此改进算法对数字图像进行加解密,结果表明新型的Logistic混沌序列算法具有良好的安全性,能够满足保密通信的需要。Aiming at machine with finite precision would make digital chaotic binary sequences into similar short period sequences so that it lowers the security of chaotic encryption system for the problem. An improved algorithm is proposed with the purpose of overcoming the disadvantage,which combines Logistic chaotic sequences with Arnold transformation. Besides,some comparative experiments are done about autocorrelation and randomness of new binary sequences. Moreover,Digital image is encrypted and decrypted through this improved algorithm in the experiment,the results indicate that the new algorithm of Logistic chaotic sequences has a good performance on safety and has the ability to meet the requirements of confidential communication.

关 键 词：混沌系统 ARNOLD变换 MATLAB仿真 二值序列 图像加密 

分 类 号：TP393.04[自动化与计算机技术—计算机应用技术] TN915.04[自动化与计算机技术—计算机科学与技术]