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

A novel geometric model is proposed to expound the propagation process for an ultrawideband channel. This model defines scatterer distribution in a hypothetical azimuth-frequency domain (AFD). One advantage of this approach is the availability of analytical expressions relating signal properties in the AFD to channel properties. A further virtue is to exploit the geometric distribution of scatterers for different spectral components from a physical wave-propagation viewpoint. The analysis is based on the recently reported semigeometrically based statistical model and three heuristic rules, which are an extension of the rules presented in a previous work. These rules are aimed at establishing the underlying relationship between any geometric model and its corresponding physical channel. The power azimuthal spectrum and power delay spectrum are then calculated using this model and compared with empirical data from channel measurements.