Advantages of PSWF-based models for UWB systems

Abstract

The frequency dependency of signals plays a very important role in Ultra Wideband (UWB) systems. Being able to accurately model this frequency dependency can provide a multitude of benefits, especially for UWB systems in medical applications. The model, based on prolate spheroidal wave functions (PSWFs), presented in this contribution improves greatly upon the model relying on discrete prolate spheroidal sequences that was previously presented by the authors: it offers a much more compact representation, while retaining the same robustness to noise. Furthermore, with the improved model, a cascade of signals can be evaluated directly using the model coefficients. All of these properties can be of use when analysing UWB systems.