Design of jitter-robust orthogonal pulses for UWB systems

The design of a class of Hermite pulses for pulse shape modulated (PSM) ultra-wideband (UWB) communications is presented. The proposed pulses offer robustness against jitter or small imperfections in synchronization between received waveforms and their matched templates. Close form expressions of the auto- and cross-correlation functions of the proposed and conventional Hermite pulses are given, which are used to model the jitter channel as a simple distortive matrix. The set of jitter-robust orthogonal pulses is then obtained by simultaneously diagonalizing a subset of selected samples of such channel matrix realizations for different jitter values. Examples of waveforms derived with the method and simulation results showing the effectiveness of the proposed pulses in combatting jitter in PSM-UWB systems are given.