计算机工程 ›› 2009, Vol. 35 ›› Issue (24): 4-6.doi: 10.3969/j.issn.1000-3428.2009.24.002

• 博士论文 • 上一篇    下一篇

基于Chebyshev映射的混沌序列研究

雷利华1,马冠一1,蔡晓静2,施浒立1   

  1. (1. 中国科学院国家天文台,北京 100012;2. 北京工商大学,北京 100037)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2009-12-20 发布日期:2009-12-20

Study of Chaotic Sequence Based on Chebyshev Mapping

LEI Li-hua1, MA Guan-yi1, CAI Xiao-jing2, SHI Hu-li1   

  1. (1. National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012;2. Beijing Technology and Business University, Beijing 100037)
  • Received:1900-01-01 Revised:1900-01-01 Online:2009-12-20 Published:2009-12-20

摘要: 对基于Chebyshev映射的混沌序列初值敏感性、平衡特性、相关特性进行仿真研究,将混沌序列应用在DS-CDMA系统中,与Gold码序列进行比较。结果表明,混沌序列与Gold码序列性能接近,具有生成简单、序列数目多、保密性好等优点,是替代传统扩频码的理想选择。

关键词: Chebyshev映射, 混沌序列, 初值敏感性, 平衡特性, 相关特性

Abstract: The initial value sensitivity, balance properties and correlation properties of chaotic sequences based on Chebyshev mapping are studied. Performance of chaotic sequences is compared with Gold sequences in DS-CDMA system. Simulation results show that chaotic sequences have approximately the same correlation properties as Gold sequences. As an ideal choice, it is easy to generate a large number of chaotic sequences with good security.

Key words: Chebyshev mapping, chaotic sequences, initial value sensitivity, balance properties, correlation properties

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