Spatial and Social Paradigms for Interference and Coverage Analysis in Underlay D2D Network

The homogeneous Poisson point process is widely used to model spatial distribution of base stations and mobile terminals. The same process can be used to model underlay device-to-device (D2D) network; however, neglecting homophilic relation for D2D pairing presents underestimated system insights. In...

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Bibliographic Details
Published in:IEEE transactions on vehicular technology 2017-10, Vol.66 (10), p.9328-9337
Main Authors: Mustafa, Hafiz Attaul, Shakir, Muhammad Zeeshan, Imran, Muhammad Ali, Tafazolli, Rahim
Format: Article
Language:English
Subjects:
Analytical models
Coverage probability
D2D communication
Device-to-device communication
Distribution functions
Graphical models
IMPPP
Interference
Lower bounds
Mathematical models
Nodes
Power control
Radio equipment
Shape
social relation
Spatial distribution
Stochastic processes
Zipf marks
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Summary:The homogeneous Poisson point process is widely used to model spatial distribution of base stations and mobile terminals. The same process can be used to model underlay device-to-device (D2D) network; however, neglecting homophilic relation for D2D pairing presents underestimated system insights. In this paper, we model both spatial and social distributions of interfering D2D nodes as proximity-based independently marked homogeneous Poisson point process. The proximity considers physical distance between D2D nodes whereas social relationship is modeled as Zipf-based marks. We apply these two paradigms to analyze the effect of interference on coverage probability of distance-proportional power-controlled cellular user. Effectively, we apply two types of functional mappings (physical distance, social marks) to Laplace functional of PPP. The resulting coverage probability has no closed-form expression; however, for a subset of social marks, the mark summation converges to digamma and polygamma functions. This subset constitutes the upper and lower bounds on coverage probability. We present numerical evaluation of these bounds on coverage probability by varying number of different parameters. The results show that by imparting simple power control on cellular user, ultradense underlay D2D network can be realized without compromising the coverage probability of cellular user.
ISSN:0018-9545
1939-9359
DOI:10.1109/TVT.2017.2699620