New approach for studies of time series of satellite observations of rainstorms: II. The mutual information dimensions

摘要

A quantity called the mutual information dimension is proposed based on the concepts of the information theory and fractal theory. The application of the mutual information dimension in the time series of GMS-5 11μm IR channel brightness temperature observations of the severe rainstorm process occurred in Wuhan area in China on 21-27 July 1998 is carried out. Its application in the simulated time series of the attractor of Henon map is also performed. Furthermore, the key characteristics of the mutual information dimension are discussed. The study indicates that the new quantity is suitable for applications in nonlinear time series analysis.