Downlink MIMO HetNets: Modeling, Ordering Results and Performance Analysis
Harpreet S. Dhillon, Marios Kountouris, Jeffrey G. Andrews

TL;DR
This paper develops a comprehensive model for downlink multi-antenna HetNets, providing ordering results, bounds, and performance comparisons for different transmission schemes, revealing insights into antenna deployment and scheme efficiency.
Contribution
It introduces a unified analytical framework with ordering results and bounds for various multi-antenna transmission techniques in HetNets, enhancing understanding of their relative performance.
Findings
Spreading antennas across many single-antenna BSs is preferable to fewer multi-antenna BSs.
SU-BF yields higher coverage and per-user rate than SDMA.
SDMA can outperform in area spectral efficiency under certain conditions.
Abstract
We develop a general downlink model for multi-antenna heterogeneous cellular networks (HetNets), where base stations (BSs) across tiers may differ in terms of transmit power, target signal-to-interference-ratio (SIR), deployment density, number of transmit antennas and the type of multi-antenna transmission. In particular, we consider and compare space division multiple access (SDMA), single user beamforming (SU-BF), and baseline single-input single-output (SISO) transmission. For this general model, the main contributions are: (i) ordering results for both coverage probability and per user rate in closed form for any BS distribution for the three considered techniques, using novel tools from stochastic orders, (ii) upper bounds on the coverage probability assuming a Poisson BS distribution, and (iii) a comparison of the area spectral efficiency (ASE). The analysis concretely…
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