Abstract

In this paper, using the concept of stochastic geometry, we present an analytical framework to evaluate the signal-to-interference-and-noise-ratio (SINR) coverage in the uplink of millimeter wave cellular networks. By using a distance-dependent line-of-sight (LOS) probability function, the location of LOS and nonLOS users are modeled as two independent nonhomogeneous Poisson point processes, with each having a different pathloss exponent. The analysis takes account of per-user fractional power control (FPC), which couples the transmission of users based on location-dependent channel inversion. We consider the following scenarios in our analysis:1) pathloss-based FPC (PL-FPC) which is performed using the measured pathloss and 2) distance-based FPC (D-FPC) which is performed using the measured distance. Using the developed framework, we derive expressions for the area spectral efficiency and energy efficiency. Results suggest that in terms of SINR coverage, D-FPC outperforms PL-FPC scheme at high SINR where the future networks are expected to operate. It achieves equal or better area spectral efficiency and energy efficiency compared with the PL-FPC scheme. Contrary to the conventional ultra-high frequency cellular networks, in both FPC schemes, the SINR coverage decreases as the cell density becomes greater than a threshold, while the area spectral efficiency experiences a slow growth region.

Highlights

  • I NCREASED bandwidth by moving into the millimeter wave band is one of the primary approaches toward meeting the data rate requirement of the fifth generation (5G) cellular networks [1]–[3]

  • 3) The D-fractional power control (FPC) scheme gives better or equivalent performance compared with the PL-FPC scheme in terms of the area spectral efficiency and energy efficiency

  • We have presented a stochastic geometry framework to analyze the SINR coverage in the uplink of millimeter wave cellular networks

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Summary

INTRODUCTION

I NCREASED bandwidth by moving into the millimeter wave (mmWave) band is one of the primary approaches toward meeting the data rate requirement of the fifth generation (5G) cellular networks [1]–[3]. In addition to the huge available bandwidth in the mmWave band, the smaller wavelength associated with the band combined with recent advances in low-power CMOS RF circuits have paved the way for the use of more miniaturized antennas at the same physical area of the transmitter and receiver to provide array gain [3], [8]. With such a large antenna array, the mmWave cellular system can apply beamforming at the transmit and receive sides to provide array gain which compensates for the near-field pathloss [9]. ONIRETI et al.: COVERAGE, CAPACITY, AND ENERGY EFFICIENCY ANALYSIS IN THE UPLINK OF MMWAVE CELLULAR NETWORKS transmission at 24 and 77 GHz for automotive radar and cruise control makes it foreseeable that mmWave will find its way into other vehicular applications in the coming years [15]

Related Work on Stochastic Geometry Framework for mmWave Cellular Networks
Contributions and Organization
Network Model
Independent LOS Probability
Antenna Gain Pattern and Directivity
User Fractional Power Control
Small-Scale Fading
Dependence of the Distance of Interfering Users to their Serving BS
SINR COVERAGE PROBABILITY
Ns and
SINR Coverage Probability With Fixed User Transmit Power
SINR Coverage Probability With Simplified LOS Probability Function
Rate and Area Spectral Efficiency
Energy Efficiency in the Uplink of mmWave Cellular Networks
Fairness Analysis of the Fractional Power Control Schemes
NUMERICAL RESULTS
CONCLUSION
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