A generalized time domain multipath channel and its application in ultra-wide-band (UWB) wireless optimal receiver design: system performance analysis

This paper extends our previous work mainly in three aspects. Our main efforts are made analytically although a few numerical results are used for special cases to illustrate the concepts. Our interest lies in understanding basic mechanisms and their impact on system design. First we derive some new exact and approximate formulations suitable for pulse shape and system performance analysis. Second, first time we have obtained the numerical results of the system parameters that are impacted by the mechanisms of interest. Some new physical mechanisms are unearthed based on our analytical relationships. Third, we derive the optimal receiver template for the generalized multipath model.