Compressive sensing for pulse position modulated UWB signal

Abstract

A band-limited signal must be uniformly sampled at lea st twice its bandwidth to guarantee reconstruction at the receiver's end according to Shannon/Nyquist theorem. Compressive sensing suggests that sparsity helps representing the signal in much lesser dimensions. Analog-to-information convertor utilizes this sparsity in order to sample signals at information rate that enhances the efficiency of ADC which otherwise has to sample at very high rates for wideband signals. In this paper, we explore the combination of Compressive Sensing with M-ary PPM Ultra Wideband modulation scheme. The signals are detected without having to estimate the channel. Orthogonal matching pursuit is used as the reconstruction algorithm for the recovery of sparse signal from its compressed measurements. © 2013 Springer-Verlag.