Modeling the mobile radio channel using theory of dynamics $reconstruction of dynamics by differential equations

In two recently published papers, we have been able to show that modeling a mobile radio channel is possible in principal by the use of a low-dimensional dynamical process instead of traditionally used stochastic processes like e.g. Rayleigh- or Rice-fading. In this paper, we give an introduction to the most important analyzing methods taken from the theory of dynamics, which can show that the multi-path propagation, which is a basic for mobile channel modeling, can be modeled by a low-dimensional set of deterministic differential equations. Furthermore, we establish an algorithm to reconstruct these differential equations based on analyses that take into account the dynamical dimension and average mutual information. In conclusion, we discuss the first performance results of this synthesizing algorithm.