Ultra wide band signal design by angular and radial prolate spheroidal wave functions (PSWF)

Abstract

Prolate spheroidal wave functions (PSWF) provide significant advantage in ultra wideband (UWB) pulse-shapes design because of the time limited nature and wide bandwidth of such orthogonal signal waveforms. In this paper, we show the design procedure for UWB pulses utilizing the joining properties of radial and angular PSWF. Results in the paper demonstrate utility of eigenvalues and power spectral properties of the designed waveforms those comply the FCC regulations.