A Two-Dimensional Geometry-Based Stochastic Model

In this paper, the problem of deriving the power angular scattering response (PASR) resulting from a Gaussian scatterer distribution is undertaken. The scatter cluster can be located arbitrarily in the vicinity of the mobile unit. Furthermore, for the considered scatter geometry we derive both the angular and distance statistics at the observation point, allowing a theoretical characterization of the PASR. A major byproduct of this analysis is that the Gaussian scatterer hypothesis is formally shown to produce a Gaussian power angular spectrum in a macrocell environment, which is in accordance with existing measurements.