A three-dimensional propagation model for microcellular communications in an urban street scene is presented. The model is based on the uniform theory of diffraction (UTD) and takes into account multiple wall-to-wall, wall-to-ground, and ground-to-wall reflections, the diffraction from corners of buildings, and subsequent reflections from such diffracted signals. The ray geometry is made extremely complex by the presence of ground reflections and the many combinations of sequences of reflections or diffractions from walls, edges, and ground. At each reflection or diffraction point, the local ray-fixed coordinate system or edge-fixed coordinate system is used together with appropriate dyadic reflection or diffraction coefficient matrices. The theoretical results for the signal path loss along the streets are compared with measurements done in New York and Tokyo for various values of the propagation parameters. Agreement with these measurements indicates that the UTD formulation is a good model for such urban communication applications.
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