Stochastic Geometry Modeling and Analysis of Multi-Tier Millimeter Wave Cellular Networks

By M. Di Renzo. IEEE Transactions on Wireless Communications, 2014

401 citations recorded by the source corpus.

In this paper, a new mathematical framework to the analysis of millimeter wave cellular networks is introduced. Its peculiarity lies in considering realistic path-loss and blockage models, which are derived from recently reported experimental data. The path-loss model accounts for different distributions of line-of-sight and non-line-of-sight propagation conditions and the blockage model includes an outage state that provides a better representation of the outage possibilities of millimeter wave communications. By modeling the locations of the base stations as points of a Poisson point process and by relying on a noise-limited approximation for typical millimeter wave network deployments, simple and exact integral as well as approximated and closed-form formulas for computing the coverage probability and the average rate are obtained. With the aid of Monte Carlo simulations, the noise-limited approximation is shown to be sufficiently accurate for typical network densities. The noise-limited approximation, however, may not be sufficiently accurate for ultra-dense network deployments and for sub-gigahertz transmission bandwidths. For these case studies, the analytical approach is generalized to take the other-cell interference into account at the cost of increasing its computational complexity. The proposed mathematical framework is applicable to cell association criteria based on the smallest path-loss and on the highest received power. It accounts for beamforming alignment errors and for multi-tier cellular network deployments. Numerical results confirm that sufficiently dense millimeter wave cellular networks are capable of outperforming micro wave cellular networks, in terms of coverage probability and average rate.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/3dfbee3ab9fa8b160c612ebd27ba54a4db3a8c57

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Citations in the corpus

Millimeter-Wave Massive MIMO Communication for Future Wireless Systems: A Survey (2018, background): “[151], [152], [156]–[158], Kutty and Sen [154], and Lu and Di Renzo [159] provide good literature reviews on the stochastic geometry approach.”
Millimeter Wave Cellular Networks: A MAC Layer Perspective (2015, neutral): “All this may entail a substantial modification/extension of the methodology of cellular network analysis [47], [67]–[71] in general and mmWave cellular networks in particular [51], [72], as the main assumptions”
A Primer on Cellular Network Analysis Using Stochastic Geometry (2016, background): “The analysis can be extended to multi-tier mmWave systems [58] and the related multi-operator mmWave systems [59] through the superposition of more than one BS PPP.”
Modeling and Analyzing Millimeter Wave Cellular Systems (2016, methodology): “The LOS ball models were further extended to a multi-ball model in [84]–[87] and an intensity matching based numerical optimization method was proposed to determine the model parameters.”
Ultra-Dense Networks: A Survey (2016, background): “The spectrum at the 3 − 300 GHz band has a vast amount of unused or lightly used spectrum which attracts the research interests to investigate the propagation properties and the device manufacturing technology challenges in this band [111]–[118].”
Smart Radio Environments Empowered by Reconfigurable Intelligent Surfaces: How it Works, State of Research, and Road Ahead (2020, neutral): “[131], [132], [133], [134], [135], [136], [137], [138], [139].”
Stochastic Geometric Coverage Analysis in mmWave Cellular Networks With Realistic Channel and Antenna Radiation Models (2018, methodology): “are commonly used in stochastic geometric mmWave SINR coverage analysis [5]–[7].”