Downlink analysis of cellular networks with distributed antenna systems for non-uniform user distribution using stochastic geometry

Distributed antenna system (DAS), consisting of multiple antenna elements (AEs) serving a single base station (BS), is a promising scheme for long term evolution (LTE) cellular systems. In various studies, DAS based networks with uniformly distributed users have been shown to yield higher capacity and reliability. However, to the best of our knowledge, non-uniform user distribution has not been taken into account in previous research on DAS. In light of this, this paper proposes and investigates various network layouts incorporating DASs, including uniform and non-uniformly distributed AEs and BSs. Both homogeneous and inhomogeneous Poisson Point Process (PPP) are utilized for modeling the locations of users, AEs and BSs. Performance of the proposed network layouts are evaluated in terms of downlink signal-to-interference-plus-noise-ratio (SINR) and outage probability using extensive Monte Carlo simulations. Comparison of these metrics with those of the conventional uniformly distributed AEs demonstrates the superiority of the proposed non-uniform deployment of network elements.