Modeling and Performance Analysis of Clustered Device-to-Device Networks

TL;DR

This paper introduces a new spatial model for clustered D2D networks using Poisson cluster processes, analyzing coverage and spectral efficiency under different content availability scenarios to optimize network performance.

Contribution

It develops a novel Poisson cluster process model for D2D networks and derives coverage and ASE expressions for various content availability setups, revealing optimal activation strategies.

Findings

Optimal number of active D2D transmitters per cluster maximizes ASE.

Closer content availability improves coverage and spectral efficiency.

Clustered D2D networks' performance varies with content proximity and activation strategies.

Abstract

Device-to-device (D2D) communication enables direct communication between proximate devices thereby improving the overall spectrum utilization and offloading traffic from cellular networks. This paper develops a new spatial model for D2D networks in which the device locations are modeled as a Poisson cluster process. Using this model, we study the performance of a typical D2D receiver in terms of coverage probability under two realistic content availability setups: (i) content of interest for a typical device is available at a device chosen uniformly at random from the same cluster, which we term uniform content availability, and (ii) content of interest is available at the $k^{th}$ closest device from the typical device inside the same cluster, which we term $k$-closest content availability. Using these coverage probability results, we also characterize the area spectral efficiency (ASE) of the whole network for the two setups. A key intermediate step in this analysis is the derivation of the distributions of distances from a typical device to both the intra- and inter-cluster devices. Our analysis reveals that an optimum number of D2D transmitters must be simultaneously activated per cluster in order to maximize ASE. This can be interpreted as the classical tradeoff between more aggressive frequency reuse and higher interference power. The optimum number of simultaneously transmitting devices and the resulting ASE increase as the content is made available closer to the receivers. Our analysis also quantifies the best and worst case performance of clustered D2D networks both in terms of coverage and ASE.