一种基于符号动力学的混沌序列消噪方法

A Symbolic Dynamics Based Method for Noise Reduction in Chaotic Sequence

以符号动力学为分析工具,讨论了一类单峰映射混沌序列在符号动力学空间上的马尔科夫过程模型,从该模型出发给出了一种极大似然混沌序列噪声消除的Viterbi算法,并利用符号动力学的特点,对该算法的消噪效果进行了理论分析和仿真比较.实验表明,这种消噪算法的仿真结果和理论分析的结果是一致的,可以应用于混沌通信中的信号消噪处理.

Based on symbolic dynamics, a method for noise reduction of unimodal map chaotic sequence is presented. The Markov process model of symbolic dynamics is discussed and from this model a maximum-likehood method based on the Viterbi algorithm for the noise reduction is derived. And by using symbolic dynamics, the performance of this noise reduction method is analyzed. It is shown that the analysis agrees with the simulation result. The method and its analysis can be applied in noise reduction of chaotic communication.