Complex function projective synchronization of complex chaotic system and its applications in secure communication
Complex function projective synchronization of complex chaotic system and its applications in secure communication
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DOI：
10.1007/s11071-013-1192-1
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发表时间：
2014-04-01
影响因子：
5.6
通讯作者：
Zhang, Fangfang
中科院分区：
文献类型：
--
作者：
Liu, Shutang;Zhang, Fangfang
为了发展保密通信，提出了复混沌系统的复函数投影同步（CFPS）。针对耦合复杂混沌系统，推导了使复状态向量渐近同步到期望复函数矩阵的控制律。在CFPS的基础上，进一步从理论上设计了一种新的通信方案。其主要思想实质上是混沌掩盖，但传输的信号是信息信号与混沌信号乘积的导数。由于复尺度函数是任意的，比真实的尺度函数更不可预测，复数的乘积和导数运算复杂，拦截器从发射信号中提取信息的可能性大大降低。该通信系统可以传输模拟信号和数字符号，传输速度快，保密性高，特别是数字符号的误码率低，对噪声的鲁棒性强。相应的数值模拟进行验证和说明的分析结果。
To develop secure communication, the paper presents complex function projective synchronization (CFPS) of complex chaotic systems. Aimed to coupled complex chaotic system, the control law is derived to make the complex state vectors asymptotically synchronize up to a desired complex function matrix. Based on CFPS, a novel communication scheme is further designed in theory. Its main idea is chaotic masking in essence, but the transmitted signal is the derivative of the product of the information signal and chaotic signal. As the complex scaling functions are arbitrary and more unpredictable than real scaling functions, and the product and derivative operations of complex numbers are complicated, the possibility that an interceptor extracts the information from the transmitted signal is greatly reduced. The communication system can transmit analog signal and digital symbols with fast transmission and high security, especially low bit-error rate and the strong robustness to noise for digital symbols. The corresponding numerical simulations are performed to verify and illustrate the analytical results.