Optimal and suboptimal linear receivers for time-hopping impulse radio systems

In this paper, we consider optimal and suboptimal linear receivers for a given user in a frequency-selective multiuser environment. The optimal linear receiver combining all the samples from the frames and the multipath components, according to the MMSE criterion, is designed. Due to the complexity of this receiver, two suboptimal receivers are considered: (i) an optimal frame combining receiver, which optimally combines the samples from the frames, while combining different multipath components suboptimally; (ii) an optimal multipath combining receiver, which combines the samples from different multipath components optimally, while combining the samples from the frames suboptimally. In this paper, these optimal and suboptimal linear receivers are designed and their performance is evaluated via simulations.