Application of chaos theory to clutter classification

In this paper, the correlation dimension has been shown to be effective in distinguishing between the melting layer and other regions in a weather phenomenon. Using the correlation integral method of Grassberger and Procaccia (1983), data collected from airborne radar has been analyzed. It has been shown that the correlation dimension dips to 5.5 in the melting layer where as it is around 7 in other regions. The Lyapunov exponent has been found to be positive in these regions emphasizing the fact that the time series is indeed chaotic. It is surmised that the chaos in the time series may have had its origin in the fractal shape of the scatterers in the melting region.