Spatial-temporal characteristics of a half-spheroid model and its corresponding simulation model

For specific probability density functions (PDFs) of the spatial angle of arrival (AOA), the spatial-temporal characteristics of a three dimensional (3D) theoretical channel model, in terms of the temporal autocorrelation function (ACF), Doppler power spectral density (PSD), and spatial cross-correlation function (CCF), are investigated. The mobile station (MS) is assumed to be surrounded by scatterers which form a half-spheroid with a given axial length ratio. Based on the theoretical model, a deterministic simulation model is further proposed, and its spatial-temporal properties are also investigated by providing closed-form solutions. It is shown that both the temporal and spatial characteristics of the simulation model fit those of the reference model very well when the parameters of the simulation model are determined by using the Lp-norm method. Moreover, the influence of the axial length ratio on the spatial-temporal characteristics for both the reference model and the simulation model is also studied. The resulting simulation model is very useful for designers to evaluate the performance of modern wireless communication systems in macro-cellular environments.