Pulse shaping filter design in UWB system

This article develops an optimal pulse shaping filter design framework, which minimizes UWB signal interference to existing (or legacy) narrow band signals, such as global positioning system (GPS), satellite communication systems, etc. A 2-stage optimal filter design procedure is proposed. In the first stage, a transmission filter is optimized to satisfy an imposed transmission mask, which minimizes UWB interference to a tolerable level. In the sub-sequent optimization stage, a recovery filter is optimized to best recover the transmitted signal. The effectiveness of this procedure is demonstrated with an example, in which FCC indoor transmission spectral mask is used to design the transmission filter. This procedure makes it possible to best recover the transmitted signal while minimizing the UWB interference to other legacy systems.