Authors: Debashis Adhikari; C. Bhattacharya
Addresses: Department of Electronics Engineering, Defence Institute of Advanced Technology (DU), Girinagar, Pune – 411025, India ' Department of Electronics Engineering, Defence Institute of Advanced Technology (DU), Girinagar, Pune – 411025, India
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.
Keywords: pulse shape modulation; prolate spheroidal wave functions; PSWF; modified Hermite pulses; MHP; autocorrelation functions; ACF; power spectral density; PSD; ultra wideband waveforms; UWB waveforms; UWB pulse shapes.
International Journal of Ultra Wideband Communications and Systems, 2014 Vol.3 No.1, pp.19 - 30
Received: 19 Jan 2013
Accepted: 17 Jan 2014
Published online: 23 May 2014 *