Modeling and Analysis of D2D Millimeter-Wave Networks with Poisson Cluster Processes

TL;DR

This paper models and analyzes millimeter-wave D2D networks with clustered device locations using Poisson Cluster Processes, deriving coverage and efficiency metrics, and comparing user association strategies.

Contribution

It introduces new analytical expressions for coverage and spectral efficiency in clustered mmWave D2D networks with three user association strategies.

Findings

Coverage probability is mainly affected by intra-cluster LOS interference.

An optimal number of active D2D transmitters maximizes area spectral efficiency.

Closest LOS model outperforms other strategies but requires more system overhead.

Abstract

This paper investigates the performance of millimeter wave (mmWave) communications in clustered device-to-device (D2D) networks. The locations of D2D transceivers are modeled as a Poisson Cluster Process (PCP). In each cluster, devices are equipped with multiple antennas, and the active D2D transmitter (D2D-Tx) utilizes mmWave to serve one of the proximate D2D receivers (D2D-Rxs). Specifically, we introduce three user association strategies: 1) Uniformly distributed D2D-Tx model; 2) Nearest D2D-Tx model; 3) Closest line-of-site (LOS) D2D-Tx model. To characterize the performance of the considered scenarios, we derive new analytical expressions for the coverage probability and area spectral efficiency (ASE). Additionally, in order to efficiently illustrating the general trends of our system, a closed-form lower bound for the special case interfered by intra-cluster LOS links is derived. We provide Monte Carlo simulations to corroborate the theoretical results and show that: 1) The coverage probability is mainly affected by the intra-cluster interference with LOS links; 2) There exists an optimum number of simultaneously active D2D-Txs in each cluster for maximizing ASE; and 3) Closest LOS model outperforms the other two scenarios but at the cost of extra system overhead.