Spatial and temporal statistics for the geometrical-based hyperbolic macrocell channel model

A geometric scattering model that predicts the actual measured probability density functions (pdf's) for the direction-of-arrival (DOA) and time-of-arrival (TOA) is highly desirable. Recently we proposed geometrical-based hyperbolic distributed scatterers (GBHDS) model for a macrocell mobile environment. In this paper we investigate the temporal and spatial behavior of this model. The GBHDS model provides the statistics of the DOA and the TOA for multipath components, which are required to test adaptive array algorithms for cellular applications. The joint TOA/DOA pdf at the base station (BS), marginal TOA pdf, marginal DOA pdf, power azimuth spectrum (PAS), and power delay spectrum (PDS) are derived and simulated. Simulation results for the GBHDS model are compared to those of the geometrical-based single bounce macrocell (GBSBM) channel model, the Gaussian scatterer density (GSD) channel model, the geometrical-based exponential (GBE) channel model, as well as to experimental data. It is shown that there is a good match between the GBHDS channel model results and the measurement data, especially for the DOA and TOA pdf's.