Métodos de equação parabólica aplicados à previsão de cobertura radioelétrica

Abstract

In this work, the parabolic equation (PE) method is used to solve radiopropagation problems. The main objective is to obtain a propagation model, based on the numerical solution of SSPE (Split Step Parabolic Equation), that guarantees the precision and ecient prediction of radioelectric coverage. SSPE algorithm is computationally implemented, providing a solution for two approaches: NAPE (Narrow Angle Parabolic Equation) and WAPE (Wide Angle Parabolic Equation), where the second method is presented as an improvement of the rst approach for specic conditions of analysis. The numerical solution of the PE method allows the consideration of atmospheric effects and terrain factors in the channel model. In order to study environments with propagation losses due to impedance conditions on the surfaces, the DMFT (Discrete Mixed Fourier Transform) method is included within the SSPE algorithm, becoming a DMFT-SSPE approach to solve this type of problems. SSPE algorithm is applied in canonical tests and real scenarios. This work also proposes comparative studies with the objective of evaluating the results obtained through NAPE and WAPE. The case studies analyzed use as reference results obtained with other numerical techniques, and in practical cases, the references are measurements. Throughout this work the SSPE method is presented as an alternative that guarantees a reasonable convergence of results, demonstrating precision and notable computational eciency to estimate radioelectric coverage.