Theoretical Analysis of the Energy Capture in Strictly Bandlimited Ultra-Wideband Channels

Ultra-wideband communication offers the attractive possibility to achieve high data rates with low transmission power and is a candidate for the air interface of next generation wireless personal area networks. The transmitted ultra-wideband signal is usually subject to frequency selective fading due to multi-path propagation. In literature, the involved channel has been modeled in different ways. Physically inspired approaches aim to give a tapped delay-line model of the propagation environment in terms of a time-continuous impulse response which consists of the superposition of arbitrarily delayed and scaled versions of the signal emitted by the sender.