Abstract

One of the key 5G scenarios is that device-to-device (D2D) and massive multiple-input multiple-output (MIMO) will be co-existed. However, interference in the uplink D2D underlaid massive MIMO cellular networks needs to be coordinated, due to the vast cellular and D2D transmissions. To this end, this paper introduces a spatially dynamic power control solution for mitigating the cellular-to-D2D and D2D-to-cellular interference. In particular, the proposed D2D power control policy is rather flexible, including the special cases of no D2D links or using maximum transmit power. Under the considered power control, an analytical approach is developed to evaluate the spectral efficiency (SE) and energy efficiency (EE) in such networks. Thus, the exact expressions of SE for a cellular user or D2D transmitter are derived, which quantify the impacts of key system parameters, such as massive MIMO antennas and D2D density. Moreover, the D2D scale properties are obtained, which provide the sufficient conditions for achieving the anticipated SE. Numerical results corroborate our analysis and show that the proposed power control solution can efficiently mitigate interference between the cellular and the D2D tier. The results demonstrate that there exists the optimal D2D density for maximizing the area SE of D2D tier. In addition, the achievable EE of a cellular user can be comparable with that of a D2D user.

Highlights

  • (D2D) and massive multiple-input multiple-output (MIMO) will be co-existed

  • According to 5G-PPP, one of the key performance indicators (KPIs) in 5G mobile networks is that the energy consumption will be at least ten times lower than 2010 [2], which means that energy efficiency (EE) will play an important role in the 5G design

  • D2D power control in conventional uplink MIMO cellular networks was studied by authors of [18], where a distributed resource allocation algorithm was proposed based on the game-theoretic model

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Summary

I NTRODUCTION

With the increasing demand for high-definition mobile multimedia and fast mobile internet services, fifth generation (5G). According to 5G-PPP, one of the key performance indicators (KPIs) in 5G mobile networks is that the energy consumption will be at least ten times lower than 2010 [2], which means that energy efficiency (EE) will play an important role in the 5G design. D2D underlaid massive MIMO cellular networks, interference becomes a key issue to be addressed. In such networks, severe co-channel interference exists due to the following two key factors:. MIMO cellular networks enable much more cellular transmissions at the same time and frequency band. This paper focuses on uplink D2D underlaid massive MIMO cellular networks. There are few results available for presenting the uplink SE and EE with power control in such networks.

Related Works and Motivation
Contributions
S YSTEM D ESCRIPTION
Power Control Policy
Channel Model
Spectral Efficiency
Energy Efficiency
N UMERICAL R ESULTS
Power Control Effect
Massive MIMO Antennas Effect
Interplay between Massive MIMO and D2D
C ONCLUSION
A PPENDIX A
A PPENDIX C: A P ROOF
A PPENDIX D
A PPENDIX E:A
Full Text
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