• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

J4 ›› 2013, Vol. 35 ›› Issue (7): 46-52.

• 论文 • 上一篇    下一篇

异结构CNN混沌系统同步及其在保密通信中的应用

张小红,李德音   

  1. (江西理工大学信息工程学院,江西 赣州 341000)
  • 收稿日期:2012-05-07 修回日期:2012-08-17 出版日期:2013-07-25 发布日期:2013-07-25
  • 基金资助:

    国家自然科学基金资助项目(11062002);江西省自然科学基金资助项目(2010GZS0083);江西省教育厅科技项目(GJJ11470)

Synchronization of heterogeneous chaotic CNN
systems and its application in secret communication          

ZHANG Xiaohong,LI Deyin   

  1. (School of Information Engineering,Jiangxi University of Science and Technology,Ganzhou 341000,China)
  • Received:2012-05-07 Revised:2012-08-17 Online:2013-07-25 Published:2013-07-25

摘要:

传统的信号加密方法由于密钥少而极易受到攻击被破坏,混沌系统的良好伪随机性及丰富的系统参数弥补了传统加密的不足,而时滞混沌系统的复杂动力学空间特性使其非常适用于信号加密,利用时滞混沌系统的同步控制可实现理想的保密通信。细胞神经网络比普通的混沌系统具有更复杂的系统结构和更高的系统维数,采用具有不同结构的细胞神经网络混沌系统分别作为同步系统的驱动和响应,通过求得驱动与响应之间的误差系统并将它代入一个合适的LyapunovKrasovskii泛函,对该泛函进行稳定性分析,设计出一个有效的同步控制器。数值仿真实验验证了其有效性,利用该同步系统进行信号与数字图像保密通信,获得了较理想的加解密效果。

关键词: 异结构, 细胞神经网络, LyapunovKrasovskii泛函, 混沌同步, 保密通信

Abstract:

The traditional signal encryption methods are easily attacked so as to be destroyed because of the lack of keys. Owning a well pseudorandomness and a wealth of system parameters, chaotic systems make up for the deficiencies of the traditional encryption. The complex dynamics spatial characteristics of chaotic system with delays make it ideal for signal encryption. Synchronization control of chaotic system with delays is used to achieve ideal secret communication. Cellular neural networks’ structures are more complex than usual chaotic systems and they have higher system dimensions. Chaotic cellular neural networks systems with heterogeneous structures, respectively, act as the drive and response of the synchronization system. The error system between the drive and response is obtained to substitute into a suitable LyapunovKrasovskii functional and this functional is analyzed on stability. An effective synchronous controller is designed and numerical simulations verify its effectiveness. The synchronization system is further used in signal and image secret communications, and its results are very good.

Key words: heterogeneous structure;cellular neural networks;LyapunovKrasovskii functional;chaotic synchronization;secret communication