Abstract
Device-to-device (D2D) in cellular networks is a promising concept which opens up new opportunities for commercial applications but also brings new challenges for network management. In this paper, we propose a tractable hybrid network model where the positions of transceivers are modeled by random spatial Poisson point processes (PPP). Further, we develop a unified analytical approach which allows a unified capacity evaluation for different D2D deployment scenarios including overlay in-band D2D, underlay in-band D2D and out-of-band D2D. We further consider two important questions in the overlay case: 1) how to partition the spectrum between cellular and D2D transmissions, and 2) what is the optimal threshold for distance-based D2D mode selection? Similarly, we jointly study the optimal accessible spectrum fraction and mode selection threshold in the underlay case.

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