SPC04-4: Distribution of "Bad Urban" Uplink Multipaths\´ Arrival Delay & Azimuth-Elevation Arrival Angles, with Scatterers Distributed Cylindrically Above the Mobile

This paper presents a new trivariate joint and bivariate distributions of a landmobile cellular wireless communication system\´s uplink multipaths\´ time-of-arrival (TOA) and two-dimensional (2D) azimuth-elevation direction-of-arrival (DOA). These distributions are rigorously derived via thorough mathematics, based on a "geometrical" model of the three-dimensional (3D) spatial relationships among the mobile-station (MS), the scatterers, and the base-station (BS). Unlike earlier "geometric models" that assume the scatterers to have only a 2D spatial density (for example, uniform density within a disc around the mobile), this present "geometric model" have the scatterer spatial density as uniform within a 3D vertical above ground cylinder whose flat bottom circular base centers at the mobile.