An azimuth-frequency domain geometric model for ultrawide bandwidth signal propagation

An azimuth-frequency domain (AFD) geometric channel model aimed at establishing the fundamental propagation characteristics for an ultrawideband (UWB) time-invariant channel is proposed. This modeling approach envisages the spatial pattern of scatterer distribution in a hypothetical azimuth-frequency space. One of the main advantages of this approach is the availability of analytical expressions relating signal properties in the AFD to channel properties. A further virtue of this method is to exploit the geometric distribution of scatterers for different spectral components from a physical wave-propagation viewpoint. The workhorse is the wideband semi-geometrically based statistical model and three heuristic rules proposed, which are an extension of the rules presented in the previous work. These rules are so proposed as to provide the underlying connection between the canonical model and the physical channel it represents. The important channel properties such as power azimuthal spectrum (PAS) and power delay spectrum (PDS) are calculated using this model and compared with the published data in the existing literature.