A Three-Dimensional Geometrical Scattering Model for Cellular Communication Environment

Geometrical channel modeling has been one of the hot topics in wireless communication systems since the last two decades. It has been used for variety of scattering model characterizations like spatial and temporal statistical behavior of the channel, level crossing rate of the fading channel along with the analysis of average fade duration etc. In this paper, we propose a three dimensional (3D) semi-ellipsoid geometric scattering model for cellular mobile communication systems, where, elevated base station is considered in scattering free region while the mobile station is assumed to be surrounded by uniformly distributed scatterers in the proposed geometrical shape. Exploiting the proposed geometry, expressions for the joint and marginal probability density functions for angle-of-arrival and time-of-arrival in azimuth and elevation planes are derived. This model is suitable for macro-cellular environment.