四维超混沌系统及其在信号加密中的应用

为获得复杂的混沌信号源,构建四维超混沌系统,同时提出一种基于该系统的信号加密算法.构建系统模型,得到该系统的Lyapunov指数,给出了系统的相轨迹图,实现电路及该实现电路的相轨迹图；依据混沌隐藏技术,将该四维超混沌系统作为混沌加密通信的信号源,把待加密的信号与混沌信号相叠加,再把迭代次数与混沌信号的算术运算相结合作为密码设置,以实现信号加密.仿真结果表明,实现电路的相轨迹图与系统的相轨迹图完全一致,证实所构建的电路系统为超混沌系统,且该系统可以作为混沌加密通信的信号源实现对信号进行加密,为信息加密提供了一种新方法.

Four-dimensional hyperchaotic system and application research in signal encryption

In order to obtain complex chaotic signal source,a four-dimensional(4-D) hyperchaotic system was constructed,and a new signal encryption algorithm based on the 4-D system was also proposed.A system model was established,and the model was investigated via Lyapunov Exponent,phase-path of the system,realization circuit and phase-path of the circuit.According to chaotic hiding,and also to realize signal encryption,the 4-D system was selected as a signal source of chaotic encryption communication,then question encrypted signals were added to chaotic source signals,finally the password was set by means of combining application of iteration times and arithmetic operation of chaotic signals.The simulation results show that a perfect agreement between phase-paths of the system and phase-paths of realization circuit,thus the designed system is a 4-D hyperchaotic system,and the signal encryption technique based on four-dimensional hyperchaotic system is effective and practical,which provids a new method for informational encryption.