  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.
