混沌信号与噪声的分离

Algorithms for Separating Chaotic Signals from Noise

在已知混沌信号动力系统方程的基础上 ,分析混沌信号与噪声的分离算法。对一维混沌信号采用反向迭代 ,利用拓扑共扼变换将该算法推广到适用于一类单峰映射产生的混沌信号的情况 ,对高维混沌信号采用最小二乘法 ,并分别对几种分析进行计算机模拟。实验结果表明所提出的几种信噪分离方法能有效地去除混沌信号中的噪声。

We analyze algorithms for separating chaotic signals from noise based on the knowledge of the dynamics of the systems. Backward iteration method is used to the Tent map, and is generalized based on topological conjugation. For high dimensional system, the least square method is utilized. Computer analysis shows the good results of the methods.