多次重构映射的混沌扩频序列及其特性分析

J4 ›› 2015, Vol. 32 ›› Issue (6): 713-718.

多次重构映射的混沌扩频序列及其特性分析

万康谢绍斌周双

空军工程大学信息与导航学院，陕西西安 710077

收稿日期:2014-12-26 修回日期:2015-02-14 出版日期:2015-11-28 发布日期:2015-11-05
通讯作者: 谢绍斌(1962-)，浙江人，副教授，研究方向为混沌雷达。 E-mail:xie-xs@163.com
作者简介:万康(1991-)，湖北人，研究生，研究方向为混沌数字通信。E-mail: wankang_91@sina.com
基金资助:
国家自然科学基金资助(61202490)、航空科学基金资助（20BZC15008）

Performance of chaotic spreading-spectrum sequences on phase-space repeatedly reconstructed mapping

WAN Kang, XIE Shao-bin, ZHOU Shuang

Information and Navigation Institute, Air Force Engineering University of PLA, Xi’an 710077, China

Received:2014-12-26 Revised:2015-02-14 Published:2015-11-28 Online:2015-11-05

摘要/Abstract

摘要：

为获得性能良好的扩频序列，基于重构原理，将Bernoulli映射相空间轨迹进行二度重构，提出了一种新的混沌映射。新的混沌映射最大Lyapunov指数由0.697提高至大于5.5，并具有弱结构特性，以此来产生扩频序列。仿真计算分析了混沌序列的复杂度、平衡性以及相关性的改进，仿真结果表明，该方法产生的混沌扩频序列是一类性能良好的混沌扩频序列。

关键词: 混沌, 扩频序列, 重构, 弱结构

Abstract:

According to reconstruction principle, a novel chaotic map is investigated, aiming at seeking for spreading sequences with excellent performance. The maximum Lyapunov exponent of the new chaotic map is increased from 0.697 to more than 5.5. The phase-space of the map has a weak and axially symmetric structural, then it is used to generate spreading sequences. Calculation and analysis show that the complexity, the balance and the correlation of those spreading sequences are all improved. On the basis of these results, it can be concluded that sequences produced by this new chaotic map are spreading sequences with outstanding performance.

Key words: chaos, spreading-spectrum sequence, reconstruction, weak structure

万康谢绍斌周双. 多次重构映射的混沌扩频序列及其特性分析[J]. J4, 2015, 32(6): 713-718.

WAN Kang, XIE Shao-bin, ZHOU Shuang . Performance of chaotic spreading-spectrum sequences on phase-space repeatedly reconstructed mapping[J]. J4, 2015, 32(6): 713-718.

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