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基于Logistic-map的长周期混沌序列发生器 被引量:2

A Long-period Chaotic Sequence Generator Based on Logistic-map
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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.
出处 《无线电工程》 2014年第2期77-80,共4页 Radio Engineering
关键词 混沌 LOGISTIC-MAP 有限字长效应 长周期 chaos logistic-map finite precision effect long period
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参考文献10

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