Optimal Orthogonal Pulse Design for Ultra-wide Band Communication as Based on Gaussian Derivatives
Ultra-wideband(UWB) radios have attracted great interest for their potential application in short-range high-data-rate wireless communications.High received signal noise ratio and compliance with the FCC spectral mask call for judicious design of UWB pulse shapers.In this paper,4th order and 5th order derivatives of Gaussian pulse are used as base waveforms to produce a synthesized pulse respectively.Our method can realize high efficiency of spectral utilization in terms of normalized effective signal power(NESP).The waveform design problem can be converted into linear programming problem,which can be efficiently solved.In addition,the pulse based on 4th order derivatives is orthogonal with the one based on 5th order derivatives.This character can be used to increase the UWB communication system capacity.