Bi-orthogonal pulse design based on Hermite functions for UWB communications

In this paper, we propose to design time limited bi-orthogonals pulses shapes for ultra wideband (UWB) communication system proposed in. The proposed design pulses technique is based on searching the optimal pulse on a sub-field spanned by set of orthogonal functions built from the modified Hermite function. The design problem can be formulated as a linearly constrained convex problem. Simulations results, show that the synthesized pulses conform to the spectral emission constraints.