Analysis of power spectral density of ultra wideband waveforms for pulse shape modulation

Abstract

Choice of ultra wideband (UWB) pulse shapes has become an interesting challenge such that the spectral limits of the frequency band approved by the Federal Communications Commission (FCC) can be utilised efficiently. In this paper, we compare the efficiency of various UWB pulse shapes based upon their power spectral density (PSD) and autocorrelation functions (ACF). We propose a set of prolate spheroidal wave functions (PSWF) for a typical M-ary pulse shape modulation (PSM) scheme. In the process, we show closed form expressions for the ACF of PSWF-based UWB pulse shapes of different orders.

Performance Analysis of Ultra Wideband Multiple Access Time Hopping – Pulse Shape Modulation in Presence of Timing Jitter

“…Due to its unique property of double orthogonality in time and frequency representations and spectral efficiency, PSWF pulses are an attractive option 18 . With an additional degree of freedom in terms of timebandwidth product 'c' besides pulse shape order 'n', one has the option for selecting a larger set of basis functions with PSWF pulse shapes.…”