Coverage gain and Device-to-Device user Density: Stochastic Geometry Modeling and Analysis
Hafiz Attaul Mustafa, Muhammad Zeeshan Shakir, Muhammad Ali Imran, Ali, Imran, and Rahim Tafazolli

TL;DR
This paper uses stochastic geometry to analytically model how device-to-device communication impacts coverage and user density in cellular networks, providing insights for capacity enhancement.
Contribution
It derives a novel analytical expression for D2D coverage probability and potential user count using stochastic geometry and Poisson point processes.
Findings
Analytic expressions closely match simulation results.
Coverage probability depends on D2D user density and pairing criteria.
Potential D2D users significantly influence network capacity.
Abstract
Device-to-device (D2D) communication has huge potential for capacity and coverage enhancements for next generation cellular networks. The number of potential nodes for D2D communication is an important parameter that directly impacts the system capacity. In this paper, we derive analytic expression for average coverage probability of cellular user and corresponding number of potential D2D users. In this context, mature framework of stochastic geometry and Poisson point process has been used. The retention probability has been incorporated in Laplace functional to capture reduced path-loss and shortest distance criterion based D2D pairing. The numerical results show a close match between analytic expression and simulation setup.
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