一种基于混沌轨迹逆映射的跳变周期轨道数字保密通信方案  

A Highly-Difficult-to-Break but Fast Digital Communication Scheme Based on Inverse Mapping of Chaos Periodic Orbits

作　　者：樊养余[1] 张政伟[1] 曾黎[1] 

机构地区：[1]西北工业大学电子信息学院,陕西西安710072

出　　处：《西北工业大学学报》2007年第3期451-455,共5页Journal of Northwestern Polytechnical University

基　　金：陕西省自然科学基金(2003F40);航空科学基金(04F53035)资助

摘　　要：为提高保密通信的抗破译性能,文中首次提出一种基于混沌轨迹逆映射的跳变周期轨道数字保密通信的新方法。该方法将秘密序列映射为混沌周期轨道序列,再将这些周期轨道所对应的系统参数经另一非线性系统演化后的序列作为重建周期轨道的密钥,并基于改进的Newton-Raphson算法,在接收端采取混沌轨迹逆映射方法获得重建周期轨道所需系统参数,从而恢复原秘密序列以实现保密通信。除较高的抗破译性能外,与以往方法相比,该方法直接用混沌周期轨道作为映射轨道,不需任何空间坐标变换,提高了实施时的简易性和实时性;由于Newton-Raphson算法的快速收敛性,为恢复周期轨道所需的参数演化序列可以非常的短,故有效地提高秘密信息的传输效率。实验证明该方案是一种实用的保密通信方案。In order to enhance the anti-breaking performance of a digital communication scheme, we propose a new method based on the inverse mapping of chaos periodic orbits. In the full paper, we explain our new method in detail. In this abstract, we just add some pertinent remarks to listing the two topics of explanation. The first topic is. the new scheme of digital coding. Our new method＇s important feature is switching from one chaos periodic orbit to another. Because our new digital coding scheme utilizes this important switching feature, we must incorporate certain changes in it, which are fully explained in the first topic, to make such utilization possible. The second topic is. the inverse mapping of chaos trajectory. The sequence obtained from evolving the system parameters of these chaos orbits through another nonlinear system is the key for reconstructing the orbits. To restore the system parameters, we adopt the inverse mapping of chaos trajectory based on the modified Newton-Raphson algorithm. Owing to its fast convergence, the algorithm shortens the parameter evolution sequence needed to reconstruct chaos periodic orbits, thus effectively speeding up information transmission. Finally we give as illustrative example a complete experiment on how to do coding and decoding according to our new method. The results of this experiment do show preliminarily that our new method is a highly-difficult-to-break but fast digital communication scheme.

关 键 词：混沌周期轨道 轨迹逆映射 混沌初值 轨迹跳变 保密通信 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]