Non-stationary mobile-to-mobile channel modeling using the Gauss-Markov mobility model

Abstract

Traditional geometry-based mobile-to-mobile (M2M) channel modeling usually assumes fixed velocity and moving direction. In this paper, a Gauss-Markov mobility model based method is proposed to incorporate non-stationarity into the cluster-based two-ring M2M channel model, where dynamic velocities and trajectories are considered. The Gauss-Markov mobility model is able to adjust the degree of mobility randomness. A closed-form time-variant time correlation function and the Doppler power spectrum are derived. Based on the numerical analysis, it is found that for a fixed M2M scattering environment, the motion does not introduce non-stationarity, however, the dynamic motion (i.e., the changes of velocity and moving direction) leads to non-stationarity, which is reflected by the time-variant time correlation function and Doppler spectrum. Moreover, the randomness of the Gauss-Markov mobility model is found to significantly increase the degree of channel non-stationarity.