Characterizing the Mobile Radio Channel by a Conservative Dynamical System

Traditionally mobile radio channels are modeled as linear stochastic systems. It can be shown that stochastic modeling approaches have some physical limits, in particular if the bandwidth is very high. With this paper we want to introduce a new and alternative understanding of the physical effects the mobile radio channel is based on. Instead of analyzing time- and frequency domain by conventional methods from the field of stochastic signal processing we use algorithms which are focused on the signal´s phase space. We learned that a colored Poincare-plot is a very powerful tool to characterize the mobile radio channel in that phase space. The results of characterizing the channel as a conservative dynamical system show that there are interesting mechanisms, which have not been considered in mobile radio channel modeling until now. Because this paper is too short to give a satisfactory introduction to the nonlinear dynamics of conservative systems, we focused on examples and the most important terms