基于Logistic-map的长周期混沌序列发生器  

A Long-period Chaotic Sequence Generator Based on Logistic-map

作　　者：李涛护[1] 高保生[1] 

机构地区：[1]中国电子科技集团公司第五十四研究所,河北石家庄050081

出　　处：《无线电工程》2014年第2期77-80,共4页Radio Engineering

摘　　要：利用无周期的混沌映射生成长周期伪随机序列具有巨大的优越性,但有限字长效应会使混沌序列出现动力学特征退化,从而出现短周期现象,导致混沌序列安全性显著降低。分析了采用整数类型实现Logistic型混沌序列对周期特性的影响,指出整数型Logitstic-map序列不具备长周期特性,提出了一种利用m序列加扰Logistic-map的长周期混沌序列发生器的实现方案,并对输出序列特性进行了仿真分析。该方案易于实现,降低了长周期对整数位数的要求,输出序列的周期得到明显扩展,随机性、相关性和线性复杂度良好。It is fairly attractive to implement a long period pseudo-random bit generator based on aperiodic chaotic mapping. The finite precision effect may make chaotic sequence generate dynamical degradation property, which results in short-period phenomenon and low security of chaotic sequence. This paper analyzes the impact of Logistic chaotic sequence implemented by integer type on perio- dicity,and the analysis results show that the integer-type Logistic-map hasn＇ t long-period characteristics. This paper proposes an imple- ment scheme of extending the cycle length via perturbation of m-sequence. The output sequence characteristics are simulated and ana- lyzed. The simulation results show that this scheme is easily implemented, by which the period of out sequence is significantly extended and the original chaotic properties can he maintained.

关 键 词：混沌 LOGISTIC-MAP 有限字长效应 长周期 

分 类 号：TN97[电子电信—信号与信息处理]