Performance Evaluation of UWB System in the Presence of Timing Jitter Based on Novel Modified Hermite Functions

A class of novel pulses based on modified Hermite functions (NMHPs) for UWB communications is presented according to spectral emission constraints of Federal Communications Commission (FCC) mask and the requirement of short pulse for multiple access. The proposed pulses constitute orthogonal sets and have a constant pulse width regardless of the order, moreover, have no DC component and have an adjustable central frequency, which are important properties in the UWB pulse shaping technologies. Theoretical analyses and simulation results show that the higher order of the proposed pulse has a better anti-jitter performance in both single-link and the multi-access UWB systems than that of the other lower orders and Scholtz´s pulse when jitter is not very severe. It provides a flexible and systematic method for designing UWB pulses that both conform to FCC mask and offer good anti-jitter performance.