离子迁移忆阻混沌电路及其在语音保密通信中的应用  

Chaotic circuit of ion migration memristor and its application in the voice secure communication

作　　者：闵国旗 王丽丹[1] 段书凯[1] 

机构地区：[1]西南大学电子信息工程学院,重庆400715

出　　处：《物理学报》2015年第21期243-255,共13页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:61372139;61571372;61101233;60972155);新世纪优秀人才支持计划(批准号:教技函[2013]47号);教育部"春晖计划"科研项目(批准号:z2011148);中央高校基本科研业务费专项资金(批准号:XDJK2016A001;XDJK2014A009);留学人员科技活动项目择优资助经费(批准号:国家级;优秀类;渝人社办〔2012〕186号);重庆市高等学校优秀人才支持计划(批准号:渝教人〔2011〕65号);重庆市高等学校青年骨干教师资助计划(批准号:渝教人〔2011〕65号)资助的课题~~

摘　　要：忆阻器是一种具有记忆功能和纳米级尺寸的非线性元件,作为混沌系统的非线性部分,能够使系统的物理尺寸大大减小,同时可以得到各种丰富的非线性曲线,提高混沌系统的复杂度和信号的随机性.因此,本文采用离子迁移忆阻器的磁控模型设计了一个新的混沌系统.通过理论推导、数值仿真、Lyapunov指数谱、分岔图和Poincaré截面图研究了系统的基本动力学特性,并分析了改变不同参数时系统动力学行为的变化.同时,建立了模拟该系统的SPICE电路,SPICE仿真结果与数值分析相符,从而验证该混沌系统的混沌产生能力.最后,利用线性反馈同步控制方法实现了新构造的离子迁移忆阻混沌系统的同步,并且采用该同步方法有效实现了语音信号的保密通信.数值仿真证实了新混沌系统的存在性以及同步控制应用的可行性.A memristor is a nonlinear element of nanoscale size with memory function and when it works as the nonlinear part in a chaotic system, the physical size of the system will be greatly reduced, rich nonlinear curve will be produced, and at the same time, the complexity of the chaotic systems and the randomness of signals will be enhanced. So in this paper, a new chaotic system is designed based on an ion migration memristor. The complex dynamic characteristics of the memristive system are investigated by means of theoretical derivation, numerical simulation, Lyapunov exponent spectrum, power spectrum, and Poincaré map. In addition, the change of system dynamic behaviors with the different parameters are analyzed. Then, a SPICE-based analog circuit is presented. The SPICE simulation results are in conformity with the numerical analysis, and thus verify that the chaotic systems can produce chaos. The linear feedback control structure is simple, economic and easy to realize in engineering practice, so the linear feedback control method has a high application value. At present, most studies focus on memristors＇ applications in memory and analog neural networks, but little research work is for voice security transmission. Therefore, by using the method of linear feedback control of chaotic synchronization, this paper proves the effectiveness of this method by numerical simulation experiments. As a result,it can achieve secure communication of voice signals. Finally, we conclude that the linear synchronous control method based on memristive chaotic system when applied to the secure communications can achieve the purpose of covering a specific speech. In addition, this method is able to restore the specific speech signal without distortion, which is very meaningful for the promotion of applications of memristor.

关 键 词：离子迁移忆阻器 混沌系统 动力学分析 SPICE设计 

分 类 号：TN918[电子电信—通信与信息系统] O415.5[电子电信—信息与通信工程]