混沌系统设计中的基频变换及不可预测性估计算法  

Fundamental Frequency Transformation and Unpredictability Estimation Algorithm of Chaotic Systems

作　　者：晋建秀[1] 丘水生[1] 刘云梁[1] 

机构地区：[1]华南理工大学电子与信息学院,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2009年第10期5-10,共6页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60372004);广东省自然科学基金资助项目(06025729)

摘　　要：文中基于混沌吸引子周期轨道理论的频域分析概念和矩阵分析原理,提出了一种混沌系统基波频率变换方法.基于该方法对Lorenz和Chua系统分别进行了不同基频的硬件电路参数设计,并对其产生的信号频谱进行了测试,实验结果验证了此基频变换方法的正确性.文中还讨论了混沌系统不可预测性的估计算法,提出了回归频度的改进计算式,并对所设计的3 kHz基频的Lorenz和Chua电路的不可预测性强弱进行了比较分析,结果表明所提出的改进计算式提高了不同混沌系统不可预测性强弱的评估准确度.In this paper, first, a method of fundamental frequency transformation for chaotic systems is proposed based on the concept of frequency domain analysis in the periodic orbit theory of chaotic attractors and on the matrix principle. Then, by using this method, Lorenz and Chua circuits are realized with different fundamental frequencies, and the corresponding frequency spectra are tested. Moreover, some experiments are carried out to verify the correctness of the proposed method, and an unpredictability estimation algorithm of chaotic systems is discussed. Finally, an improved formula for calculating the regression frequency is deduced. The proposed formula is also used to compare the unpredictability between Lorenz and Chua circuits with the same fundamental frequency of 3 kHz. The results indicate that the presented formula greatly improves the unpredictability estimation accuracy of different chaotic systems.

关 键 词：基频变换 不可预测性 回归频度 周期轨道 混沌 

分 类 号：TN702[电子电信—电路与系统] TN918.1