Design of UWB pulses based on B-splines

The present paper discusses construction of UWB pulses on the basis of B-splines having the following properties: (i) The B-splines are time-limited piecewise polynomials. (ii) They are rectangular pulses when their order is one and they converge to band-limited functions at the limit that their order tends to infinity. (iii) There are an analog circuit and a fast digital filter for the generation of B-splines. A constrained minimization technique is proposed for designing pulses so as to comfort the FCC spectral mask and satisfy basic requirements for UWB pulses.