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一类分数阶超混沌系统及其在扩频通信中的应用

张晓丹 王启立

工程科学学报Issue(5):128-135,8.
工程科学学报Issue(5):128-135,8.DOI:10.13374/j.issn2095-9389.2015.05.020

一类分数阶超混沌系统及其在扩频通信中的应用

A class of fractional-order hyperchaotic system and its application in spread spectrum communication

张晓丹 1王启立1

作者信息

  • 1. 北京科技大学数理学院,北京100083
  • 折叠

摘要

Abstract

A class of fractional-order hyperchaotic system is introduced and its basic dynamical properties are investigated by means of theoretical analysis and numerical simulation. Systemic sensitivity to the orders of all involved derivatives is analyzed by stud-ying the Lyapunov exponent spectrum and bifurcation diagram. The class of fractional-order system presents hyperchaos, chaos, and periodic behaviors when the fractional orders vary continuously. Based on synchronization of the fractional-order hyperchaotic system and the theory of spread spectrum communication, we propose a new scheme for general spread spectrum communication. In contrast to PN code in the traditional CDMA communication, the scheme uses the chaotic signal sequence as a spread spectrum address code of direct sequence spread spectrum communication. Then, a circuit of spread spectrum communication based on the fractional-order hy-perchaotic system is designed. The validity and feasibility of this scheme are certificated in Multsim platform.

关键词

超混沌系统/同步/扩频通信/扩频码序列

Key words

hyperchaotic systems/synchronization/spread spectrum communication/spread spectrum code sequence

分类

数理科学

引用本文复制引用

张晓丹,王启立..一类分数阶超混沌系统及其在扩频通信中的应用[J].工程科学学报,2015,(5):128-135,8.

基金项目

国家自然科学基金资助项目(70271068) (70271068)

工程科学学报

OA北大核心CSCDCSTPCD

2095-9389

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