介绍了相空间重构中确定重构延迟时间的互信息法理论及其具体的计算方法.针对互信息法应用中计算复杂、程序难以编写问题,提出了一种基于网格层数的简便实用程序算法.对网格层数参数进行了结果分析,表明在利用互信息法确定重构延迟时间时,只需要计算到某一个网格层数即可,不需要计算出精确的互信息值,简化了计算的复杂程度.最后通过对Lorenz和Rossler两个吸引于的Lyapunov指数计算,证实了该算法的合理性.
A concrete algorithm of selecting delay time in the state space reconstruction in the mutual information method is introduced. A simple and practical program algorithm based on a reticulate layer is established. An analysis on calculated result shows that the mutual information needs to be computed to a certain reticulate layer in selecting delay time. Therefore, the algorithm is simplified significantly. The Lyapunov exponents calculation of attractors(Rossler and Lorenz) verifies the validity of this algorithm.