Geometrical statistical channel model arisen from scatterers around the mobile with an inverted-parabolic spatial distribution

In this paper, firstly presented a geometrically based statistical channel model with scatterers that are with an inverted parabolic spatial distribution around mobile station (MS) within a circle wherein the base station (BS) and MS are included. This paper proposed a technique to simply derive probability density functions (PDFs) of angle of arrival (AOA), time of arrival (TOA) and Doppler spectra to characterize the outdoor macrocell and microcell environments by employing various distances between BS and MS, or different size of circular region. Employing this channel model, we analyze the impacts of a directional antenna at BS with the main-lobe width 2α on the fading and the Doppler spectra.