基于分支切换并嵌套的混沌系统超宽带信号设计分析  

Design and analysis of chaos UWB signal based on chaos branch switching and embedding

作　　者：陈建国[1,2] 康海静 兰英[1,2] Chen Jianguo;Kang Haijing;Lan Ying(Dept.of Electronic Information&Computer Engineering,College of Engineering&Technical,Chengdu University of Technology,Leshan Sichuan 614000,China;Southwestern Institute of Physics,Chengdu 610041,China)

机构地区：[1]成都理工大学工程技术学院电子信息与计算机工程系,四川乐山614000 [2]核工业西南物理研究院,成都610041

出　　处：《计算机应用研究》2021年第3期836-840,共5页Application Research of Computers

基　　金：四川省教育厅科研项目(17ZB0066);成都理工大学工程技术学院院级基金资助项目(C122017019)。

摘　　要：在混沌超宽带信号中使用高维复杂混沌系统可以增强信号的安全性,但是降低了混沌系统的易实现性。针对混沌超宽带中所用的混沌系统的复杂性与易实现性的矛盾,利用两种易实现的一维混沌映射基于混沌分支切换并嵌套的方式设计了一种低维易实现的混沌系统,采用Lyapunov指数分析验证了这种系统在较宽的参数范围内具有混沌性。分析表明这种系统所产生的信号无法反映确定的映射关系,不仅增强了混沌信号的复杂度,而且系统又不失易实现性。分析也表明这种混沌信号也具有良好的相关性,因此将这种混沌系统用来设计产生更加安全的混沌跳时超宽带信号。通过对这种混沌超宽带信号与一般的伪随机序列跳时超宽带信号的功率谱对比分析,它所包含的能够对其他传输系统产生干扰的强度较大的离散谱数量更少,故这种混沌超宽带信号将会具有更加广泛的应用领域。Using the high-dimensional complex chaotic system in the chaotic ultra wideband signal can enhance the security of the signal,but reduce the easy implementation of the chaotic system.In view of the contradiction between the complexity and the easy realization of the chaotic system used in the chaotic ultra wideband(UWB),this paper designed a chaotic system with low dimension and easy to implement by using two one-dimensional chaotic maps with easy implementation based on chaos branch switching and embedding.Lyapunov exponent analysis shows that it is chaotic in a wide range of parameters.The analysis shows that the signal generated by the system cannot reflect the definite mapping relation,which not only increases the complexity of chaotic signal,but also makes the system easy to implement.The analysis also shows that this chaotic signal has good correlation.Therefore’this paper also generated more secure chaotic time hopping UWB signal based on this chaotic system.At the same time,through the comparative analysis of the power spectrum of the chaotic UWB signal and the general pseudo-random time hopping UWB signal,it contains less discrete spectrum which can produce interference to other transmission systems,and also makes the chaotic UWB signal have more extensive application fields.

关 键 词：超宽带 混沌映射 嵌套 分支切换 功率谱 

分 类 号：TN913[电子电信—通信与信息系统]