A study of WiMAX coverage prediction for an urban area at 3.5 GHz is presented in this paper. Provided that the area under analysis is the down town of Mexico City, the central idea is based on an implementation of the Deygout diffraction method on the Lee model. This model needs what is known as standard conditions, which are specified by Lee for the operational frequency band of the traditional mobile cellular systems, but not for fixed WiMAX. Thus, to overcome this lack of information, parameters of measurements carried out in cities of UK and their corresponding results for the 3.5 GHz band are taken into account, such that it is possible to constitute the standard conditions for the scenario considered. Simulation results are contrasted with measurements with an acceptable convergence, corroborating the feasibility to use the Lee-Deygout binomial for WiMAX coverage prediction in urban areas.