Time-Domain Solution for Transmitted Field Through Low-loss Dielectric Obstacles in a Microcellular and Indoor Scenario for UWB Signals

An analytical time-domain (TD) solution based on an established frequency-domain (FD) transmission model is presented for transmission of ultrawideband (UWB) signals through low-loss dielectric obstacles, in a microcellular and indoor propagation environment. This paper provides an in-depth analysis of the FD transmission model and presents a computationally more efficient direct TD transmission solution. Various obstacles considered in this paper include dielectric wedge and rectangular building with homogeneous, isotropic, and low-loss dielectric characteristics. Novel TD transmission coefficients, for transmission through an interface between air and a low-loss dielectric medium, are proposed for both hard and soft polarizations. The proposed TD solution is validated against the numerical inverse fast Fourier transform of the exact FD (IFFT-FD) solution and the results are found to be in very good agreement with each other. The computational efficiency achieved through the proposed TD solution is demonstrated by comparing its computation time with that of the exact IFFT-FD solution.