A Symbolic Dynamics Based Method for Noise Reduction in Chaotic Sequence
XU Pei-xia · 2005
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.