Clusters PDF in angle and time domain for geometrically based channel model

Advanced radio system designs have been proposed that are intended to overcome or even take advantage of the radio channel caused by multipath effects in urban environments to achieve even higher performance. We present analytical expressions for the angle-of-arrival power density function (PDF) and general analysis for time of arrival (expressed in terms of distance) respectively, for the channel model based on geometry for urban environments. Then we make comparisons with experimental results published in the open literature, in order to evaluate the theoretical PDF proposed. The comparison with experimental results shows good agreement. The derived PDF can be used to simulate a power-delay-angle profile and to quantify angle spread and delay spread for a given elliptical shape of the cluster.