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Logistic混沌映射性能分析与改进

陈志刚 梁涤青 邓小鸿 张颖

陈志刚, 梁涤青, 邓小鸿, 张颖. Logistic混沌映射性能分析与改进[J]. 电子与信息学报, 2016, 38(6): 1547-1551. doi: 10.11999/JEIT151039
引用本文: 陈志刚, 梁涤青, 邓小鸿, 张颖. Logistic混沌映射性能分析与改进[J]. 电子与信息学报, 2016, 38(6): 1547-1551. doi: 10.11999/JEIT151039
CHEN Zhigang, LIANG Diqing, DENG Xiaohong, ZHANG Ying. Performance Analysis and Improvement of Logistic Chaotic Mapping[J]. Journal of Electronics & Information Technology, 2016, 38(6): 1547-1551. doi: 10.11999/JEIT151039
Citation: CHEN Zhigang, LIANG Diqing, DENG Xiaohong, ZHANG Ying. Performance Analysis and Improvement of Logistic Chaotic Mapping[J]. Journal of Electronics & Information Technology, 2016, 38(6): 1547-1551. doi: 10.11999/JEIT151039

Logistic混沌映射性能分析与改进

doi: 10.11999/JEIT151039
基金项目: 

国家自然科学基金(61272494, 61350011),江西省教育厅科研项目(GJJ151522)

Performance Analysis and Improvement of Logistic Chaotic Mapping

Funds: 

The National Natural Science Foundation of China (612724494, 61350011), Educational Commission Science Foundation of Jiangxi Province of China (GJJ151522)

  • 摘要: 混沌系统是基于混沌的数据加密领域的一个重要研究对象,Logistic混沌映射是最简单和有效的混沌系统,被广泛应用在大多数混沌加密算法中,Logistic映射的安全性成为研究的热点。针对Logistic序列存在的吸引子与空白区问题,该文提出一种基于初始值和分形控制参数之间关系的Logistic映射改进方法。利用两者之间关系对映射自变量区间进行合理分段,扩大了混沌控制参数区域,将满射范围扩大到整个控制参数区间,使产生的序列分布更均匀,解决了稳定窗与空白区等问题。通过将改进Logistic与其它分段Logistic映射进行仿真对比,实验结果表明改进后的映射产生的序列混沌特性得到显著加强,分布更均匀,具有更好的随机性能测试指标。另外,改进Logistic映射计算复杂度低,实现简单,在扩频通信与混沌密码等领域有广阔的应用前景。
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出版历程
  • 收稿日期:  2015-09-14
  • 修回日期:  2016-02-29
  • 刊出日期:  2016-06-19

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