Statistical model of the angular power distribution for wireless multipath environments

The study presents a two-dimensional model of angular power distribution for land mobile environments that can extend the capabilities of modelling the spatial properties of received signals in simulation studies. The developed model gives statistical description of the power azimuth spectrum (PAS) as the closed-form function. In the literature, the authors can find large collection of small-scale propagation models that characterise the spatial properties of the received signals. However, their practical use in simulation studies is associated with a significant problem that concerns the matching model parameters for transmission properties of the modelled environment. For the presented PAS model, the power delay profile or the power delay spectrum are the source of input data. Therefore unlike the existing models, the developed PAS model is highly dependent on the transmission characteristics of the modelled environment. For sample scenarios, PAS dependencies on the type of environment, the distance between the transmitter and the receiver, and the uplink and downlink transmissions are shown. Results predicted by this model are compared with those for other models as well with experimental results available for typical and bad urban environments. Comparison shows that the developed PAS model produces results that very closely agree with experimental data.