Method for obtaining spectrally efficient orthogonal UWB pulse shapes

In this paper we present a method to obtain a set of orthogonal pulses to be used in Pulse Shape Modulation (PSM) for Ultra-Wide Band (UWB) communications. The pulses are built as linear combinations of Hermite functions which are shown to have unique advantageous features. Mathematical restrictions of orthogonality and spectral eficiency are introduced as guidelines to a fully explained search procedure to find the best set of pulses. Additionally, this procedure is adapted and used to find a single FCC-compliant pulse shape.