摘要
提出了一种基于Logistic映射的改进映射,利用2级Logistic映射,结合Logistic映射分形系数的取值特点,构造了一个新的混沌映射,能够有效地克服Logistic映射存在的吸引子与稳定窗问题.对混沌映射的李亚普诺夫指数进行了分析和仿真,结果表明该映射较原Logistic映射在处于混沌状态时分形系数取值范围更宽.同时从功率谱及相空间角度,分别对其性能进行仿真分析,结果表明该改进映射混沌特性良好,用于混沌跳频通信可以有良好的保密性能.
An improved map based on Logistic map is proposed. The proposed map is a novel chaos map which makes use of two levels of Logistic map. By designing fractal coefficient of Logistic map, the proposed map can effectively overcome the problems of attractor and steady window in Logistic map. Analysis and simulation of the chaotic map are carried out from the perspective of Lyapunov indicator, which show that the range of fractal coefficient of the improved map is wider than the existing Logistic map in chaotic states. Besides, analysis and simulation from the perspective of power spectrum and phase space show that the improved map has good chaos characteristic which results in excellent confidential performance in chaos hopping communications with the proposed map deployed.
出处
《信息与控制》
CSCD
北大核心
2012年第6期675-680,共6页
Information and Control
基金
国家自然科学基金资助项目(60805039)
