This paper proposes a spatial variant wideband propagation model for perpendicular street of urban street grid. Analytical expression of the spatial variant multi-ray channel transfer function is derived. The model provides characteristics of each ray in explicit expressions. The ray characteristics are given in terms of complex amplitude for both vertical and horizontal polarizations, path length, angle of arrival and departure. A set membership criteria is proposed to determine the coupling radio paths. The proposed model is not only capable in providing macroscopic quantities like mean field values and mean delay spread, but also the full wideband channel information, i.e., space dependent complex channel responses with a high time dispersion resolution. The proposed model can be used for studying different propagation problems in urban street grid for microcellular communications with applications e.g., antenna diversity techniques, multi-input multi-output (MIMO) channel capacity analysis, etc.
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