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A Comparison of MIMO Techniques in Downlink Millimeter Wave Cellular Networks with Hybrid Beamforming

Published 9 Oct 2015 in cs.IT and math.IT | (1510.02845v2)

Abstract: Large antenna arrays will be needed in future millimeter wave (mmWave) cellular networks, enabling a large number of different possible antenna architectures and multiple-input multiple-output (MIMO) techniques. It is still unclear which MIMO technique is most desirable as a function of different network parameters. This paper, therefore, compares the coverage and rate performance of hybrid beamforming enabled multi-user (MU) MIMO and single-user spatial multiplexing (SM) with single-user analog beamforming (SU-BF). A stochastic geometry model for coverage and rate analysis is proposed for MU-MIMO mmWave cellular networks, taking into account important mmWave-specific hardware constraints for hybrid analog/digital precoders and combiners, and a blockage-dependent channel model which is sparse in angular domain. The analytical results highlight the coverage, rate and power consumption tradeoffs in multiuser mmWave networks. With perfect channel state information at the transmitter and round robin scheduling, MU-MIMO is usually a better choice than SM or SU-BF in mmWave cellular networks. This observation, however, neglects any overhead due to channel acquisition or computational complexity. Incorporating the impact of such overheads, our results can be re-interpreted so as to quantify the minimum allowable efficiency of MU-MIMO to provide higher rates than SM or SU-BF.

Citations (96)

Summary

  • The paper demonstrates that MU-MIMO attains higher throughput under ideal CSI conditions, while SM excels in multipath-rich environments.
  • By employing a stochastic geometry model, the analysis uncovers trade-offs between coverage, rate, and power consumption across different MIMO techniques.
  • The study highlights that optimal base station density and effective hybrid beamforming design are essential for balancing performance and energy efficiency.

Introduction

The paper examines multi-input multi-output (MIMO) techniques in the context of millimeter-wave (mmWave) cellular networks, specifically focusing on downlink scenarios with hybrid beamforming. The research investigates the performance of multi-user MIMO (MU-MIMO) compared to single-user spatial multiplexing (SM) and single-user analog beamforming (SU-BF). Utilizing a stochastic geometry model, the paper evaluates trade-offs in terms of coverage, rate, and power consumption for these techniques under various network conditions.

System Model

The authors employ a stochastic geometry framework to model mmWave networks, considering typical constraints like hybrid analog/digital precoders and sparse, blockage-dependent channel characteristics. The analysis incorporates a narrowband approach with uniform linear arrays (ULAs) at both base stations (BS) and user equipments (UE). Path loss models account for line-of-sight (LOS) and non-line-of-sight (NLOS) conditions, adapting for mmWave-specific attenuation factors.

Hybrid Beamforming Architecture

The paper discusses a fully-connected hybrid beamforming architecture, balancing the complexity of fully digital solutions with the limitations of analog-only designs. This architecture involves a baseband precoder followed by an RF precoder at the BS, and corresponding RF and baseband combiners at the UEs, optimized according to an infinite resolution codebook.

Comparative Analysis of MIMO Techniques

MU-MIMO: The research evaluates MU-MIMO assuming perfect CSI at the transmitter and neglecting acquisition overhead. Results indicate that MU-MIMO usually offers better throughput compared to SM and SU-BF, provided the UE density and channel multiplexing capabilities are adequately leveraged.

SU-BF: Although simpler in implementation, SU-BF benefits from deploying denser networks given equivalent power budgets, which can enhance per-user cell edge rates due to increased coverage probability in sparsely populated environments.

SM and Multipath Influence: In scenarios with significant multipath, SM can outperform MU-MIMO in terms of user rates, especially when UE density is low and the multipath channels allow for higher spatial diversity gains than the number of users served by MU-MIMO.

Results and Insights

Through simulations, the analysis validates the proposed models against realistic network parameters. The findings underscore the non-montonic relationship between BS density and SINR coverage, with optimal densities depending on the specific MIMO technique employed and the level of interference in the network. Notably, the research highlights that while MU-MIMO can achieve higher sum rates, SU-BF may offer superior individual user experiences in edge cases, contingent upon network deployment strategies focused on power consumption.

Conclusion

The paper provides a comprehensive evaluation of different MIMO techniques within mmWave cellular networks, incorporating practical constraints and trade-offs. The insights on optimal deployment strategies and the effects of hybrid beamforming architectures are vital for future network design. Moreover, the paper stresses the importance of considering channel estimation overheads in practical implementations of MU-MIMO, which could potentially offset some gains in throughput performance when efficiency factors are low. This work lays the groundwork for developing optimal BS deployment densities and beamforming strategies in future 5G and beyond cellular networks.

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