计算机工程 ›› 2012, Vol. 38 ›› Issue (06): 10-12.doi: 10.3969/j.issn.1000-3428.2012.06.003

• 博士论文 • 上一篇    下一篇

一种改善Tent混沌序列随机性的方法

刘金梅 1,张 卫 1,丘水生 2   

  1. (1. 暨南大学电子工程系,广州 510632;2. 华南理工大学电子与信息学院,广州 510640)
  • 收稿日期:2011-08-26 出版日期:2012-03-20 发布日期:2012-03-20
  • 作者简介:刘金梅(1975-),女,讲师、博士,主研方向:混沌保密通信;张 卫、丘水生,教授、博士生导师
  • 基金项目:
    国家自然科学基金资助项目(21310018, 61077030);广东省科技计划基金资助项目(2010B050900016)

Method for Improving Randomness of Tent Chaotic Sequences

LIU Jin-mei 1, ZHANG Wei 1, QIU Shui-sheng 2   

  1. (1. Electronic Engineering Department, Jinan University, Guangzhou 510632, China; 2. School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China)
  • Received:2011-08-26 Online:2012-03-20 Published:2012-03-20

摘要: Tent混沌映射具有良好的遍历性和均匀性,但其随机性不理想。为此,提出一种改善Tent混沌序列随机性的方法。通过将Tent混沌映射变换为分段混沌映射,增大Lyapunov指数,改善相关系数和功率谱特性。对序列进行NIST随机性测试,结果表明,该分段Tent映射的序列具有较好的随机性,适用于通信与信息安全领域。

关键词: 混沌序列, 分段Tent映射, Lyapunov指数, 随机性

Abstract: Tent chaotic maps have good ergodicity and uniformity, but fail the NIST randomness tests. Therefore, a new measure is proposed for improving the randomness of Tent chaotic sequences. According to the method, Tent chaotic maps are transformed into the piecewise Tent maps that are featured by greater Lyapunov exponents, better performance of correlations and power spectrum. Besides, the sequences of piecewise Tent maps are tested by NIST randomness tests. Results indicate that the sequences of the proposed chaotic maps are random enough and suitable for future applications in communication and information security.

Key words: chaos sequence, piecewise Tent map, Lyapunov exponent, randomness

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