Physics-based pulse distortion for ultra-wideband signals

Pulse distortion is difficult to model by the state of the art statistical measurements. In this paper, we propose a physics-based deterministic model for urban environments consisting of high rise buildings. We first derive the channel impulse response of the renowned Wolfisch-Bertoni model in closed form. This model captures many properties that are not available in the existing statistical models such as the IEEE 802.15.4a model. The closed form time domain solutions are in good agreement with the inverse fast Fourier transform (IFFT)-based frequency domain solutions. These solutions are important to understanding the system principle.