摘要
从耦合映像格子中,恢复系统初始条件是耦合系统求逆问题,也是信号处理研究中的一个关键性问题.本文在符号动力学方法的基础上,对映像系数进行修正,针对耦合单峰Logistic映射,提出一种基于时变映像系数恢复信号初值的新方法.在映像过程无噪或受到高斯白噪声污染时,本文方法都能够较好地恢复信号初值的统计特性,而且具有较小的偏差和均方误差,并与原信号之间具有较强的相关性,从而能够更好和更加合理地刻画实际信号的物理过程,对系统初值做出更优的估计.
To recover the initial conditions of coupled map lattices （ CML）, which goes athwart the coupled systems, is one of key tasks of signal processing. Based on the common symbolic dynamic method, a novel time-yawing symbolic dynamic method is proposed. The Logistic map is used to test the properties of the method. Numerical simulation shows that the new scheme can recover the statistical property of the initial conditions from coupled map lattices for both noiseless and noisy signals. The performance of the proposed method is significantly superior to the common method. Moreover, the proposed algorithm has small biases, small mean square errors and a high correlation for the given data. Our new approach is more appropriate to the analysis of practical systems and measurement of coupled systems.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2006年第2期564-571,共8页
Acta Physica Sinica
基金
国家自然科学基金(批准号:60271023
60571066)资助的课题.~~
关键词
耦合映像格子
恢复初值的统计特性
时变映像系数
coupled map lattices, statistical property of signals recovery, time-varying parameter
