Earlier works have studied the energy efficiency (EE) of half-duplex Device-to-Device (D2D) communications. However, the EE\nof full-duplex D2D communications underlaying cellular networks which undergoes residual self-interference (SI) has not been\ninvestigated. In this paper, we focus on the EE of full-duplex D2D communications with uplink channel reuse and compare it with\nthe half-duplex counterpart, aiming to show which mode is more energy-efficient. Our goal is to find the optimal transmission\npowers to maximize the system EE while guaranteeing required signal-to-interference-plus-noise ratios (SINRs) and transmission\npower constraints.Theoptimal power allocation problem is modeled as a noncooperative game, inwhich each user equipment (UE)\nis self-interested and wants to maximize its own EE. An optimal iterative bisection-alternate optimization method is proposed to\nsolve the optimization problem from the noncooperative game-theoretic perspective. Simulation results show that the proposed\nmethod can achieve EE close to that obtained by an existingmethod but with lower complexity in half-duplex D2D communications\nunderlaying cellular networks.Moreover, the full-duplex D2D communications underlaying cellular networks outperformthe halfduplex\nD2D communications underlaying cellular networks in terms of EE when effective SI mitigation techniques are applied.
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