Distributed Interference and Energy Energy-Aware Aware Power Control for Ultra-Dense Ultra D2D Networks: A Mean Field Game
Abstract: Device-to-device device (D2D) communications can enhance spectrum and energy efficiency due to direct proximity communication and frequency reuse. However, such performance enhancement is limited by mutual interference and energy availability, especially when the deployment of D2D links is ultra ultra--dense. In this paper, we present a distributed power control method for ultra-dense ultra D2D communications underlying derlying cellular communications. In this power control method, in addition to the remaining battery energy of the D2D transmitter, we consider the effects of both the interference caused by the generic D2D transmitter to others and the interference from aallll others caused to the generic D2D receiver. We formulate a mean mean-field field game (MFG) theoretic framework with the interference mean-field field approximation. We design the cost function combining both the performance of the D2D communication and cost for transmit power at the D2D transmitter. Within the MFG framework, we derive the related Hamilton-Jacobi-Bellman Bellman and Fokker Fokker-Planck-Kolmogorov Kolmogorov equations. Then, a novel energy and interference aware power control policy is proposed, which is based on the Lax-Friedrichss scheme and the Lagrange relaxation. The numerical results are presented to demonstrate the spectrum and energy efficiency performances of our proposed approach.