Elliptical channel model employing propagation of signals in 3D space

Geometrically-based stochastic channel modeling approach has been a hot area of research for the last two decades to model the surrounding physical scattering environment around the mobile station (MS) in cellular mobile communication systems. The mobile users moving in vehicles on the high ways, in streets and canyons are more critical to model their surrounding environments. In order to model such scattering environment, we extend the earlier proposed two-dimensional (2D) elliptical geometric channel model for macrocellular communication systems by introducing elevation of the base station (BS). We consider that MS is placed at the middle of the ellipse and surrounded by uniformly distributed scatterers on the boundary region of the ellipse. Furthermore, we also consider elevation of the BS that is installed in scattering-free region. Taking these assumptions into account, we derive a simple mathematical expression for the probability distribution functions (PDFs) of angle-of-arrival. The elliptical geometry is such that it has adjustable dimensions and can model the streets and highways in a better way according to their widths.