Efficient Finite Difference Method for Simulating Radio Propagation in Dense Urban Environments

MR-FDPF method (multi resolution frequency domain ParFlow) was initially developed to simulate radio propagation in indoor environments. This approach started from a formalism similar to the famous TLM approach in the frequency domain. Since the problem reduces to a linear system resolution, a multi-resolution approach has been developed to solve the system with a lower complexity than standard time-domain TLM algorithms. In this article we show that MR-FDPF method, by adapting some parameters and doing approximations to reduce the complexity, could be also efficient to simulate bigger environments like outdoor. An advantage of this method is that the complexity does not depend on the number of buildings, but only on the size of the area to compute. This could be a good alternative to compute radio propagation in dense urban areas, for which ray tracing suffers a high complexity for a high number of buildings.