Design of a PSWF impulse response filter for UWB systems

This work presents a method of UWB pulse generation based in Prolate Spheroidal Wave Functions (PSWF). The method consists of a numerical approximation, a Padé approach and a state-space optimization. Therefore, a filter with a PSWF impulse response for UWB systems is designed. The generated pulse from the filter can be used in multiple access schemes and have some advantages over the Gaussian monocycle pulses with respect to better matching with the spectral mask defined by the Federal Communications Commission (FCC) for UWB applications.