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A frequency domain geometric model aimed at clarifying the fundamental propagation characteristics for a wideband time-invariant channel is proposed. This modeling approach envisages a direct mapping from the frequency-domain transfer function T(f) in classic random linear systems to the geometric representation of a broadband channel. One of the main advantages of this approach is the availability of analytical expressions relating signal properties in frequency domain to channel output. 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 semi-geometrically based statistical model and three heuristic rules proposed, which are an extension to the rules presented in the previous work. These rules are so proposed as to provide the missing link between any canonical model and the physical channel it represents. The power azimuthal spectrum and poster delay spectrum are calculated using this model. We further study the channel properties for a macrocell.