Area Spectral Efficiency and SINR Scaling Laws in Multi-Antenna Cellular Networks

Abstract

We study the scaling laws of the signal-to-interference-plus-noise ratio (SINR) and area spectral efficiency (ASE) in multi-antenna cellular networks, where the number of antennas scales with the base station (BS) spatial density $\lambda$. We start with the MISO case having $N_t(\lambda )$ transmit antennas and a single receive antenna and prove that the average SINR scales as $\frac{N_t(\lambda )}{\lambda }$ and the average ASE scales as $\lambda \log \left(1+\frac{N_t(\lambda )}{\lambda }\right)$. For the MIMO case with single-stream eigenbeamforming and $N_r(\lambda )\le N_t(\lambda )$ receive antennas, we prove that the scaling laws of the conditional SINR and ASE are exactly the same as the MISO case, i.e. not dependent on $N_r(\lambda )$. We also show that coordinated beamforming amongst $K\le N_t(\lambda )$ neighboring BSs does not improve the scaling laws regardless of $K$. From a system design perspective, our results suggest that deploying multi-antenna BSs can help maintain the per-user throughput and the linear increase in the ASE with BS density, while the number of antennas at the user equipment and the use of BS cooperation do not matter much.

arXiv comment28 pages. arXiv admin note: substantial text overlap with arXiv:2001.05083

References in corpus (8)

• A Tractable Approach to Coverage and Rate in Cellular Networks
• Millimeter Wave Wireless Communications: New Results for Rural Connectivity
• Modeling and Analysis of Cellular Networks using Stochastic Geometry: A Tutorial
• Downlink MIMO HetNets: Modeling, Ordering Results and Performance Analysis
• Multi-Antenna Communication in Ad Hoc Networks: Achieving MIMO Gains with SIMO Transmission
• A Primer on Cellular Network Analysis Using Stochastic Geometry
• A Stochastic Geometry Framework for Analyzing Pairwise-Cooperative Cellular Networks
• Cooperative Base Station Coloring for Pair-wise Multi-Cell Coordination