Power Control Mean Field Game with Dominator in Ultra-Dense Small Cell Networks

摘要

Ultra-dense deployment of small cells can enhance capacity, extend coverage, and improve the spectrum and energy efficiency. However, intra-tier interference among different spectrum-sharing small cells is critical and needs to be well coordinated from a resource utilization perspective, such as the distributed power control. Especially in the ultra-dense small cell networks, the effects of intra-tier interference cannot be ignored, although the perceived interference from one small cell is infinitesimal for a specific small cell when designing a power control policy. It is difficult to make the model, analysis, and design of the distributed power control due to a huge number of small cells. In this paper, we formulate the power control of a generic small cell as a mean field game (MFG) with an interference dominator, where we derived the coupled Hamilton-Jacobi-Bellman (HJB) and the Fokker-Planck-Kolmogorov (FPK) equations. The presented MFG framework of power control can characterize the complex interference interaction and strategically rational decision-making of the generic and dominating players. Simulation results show the dominating effects of the interference dominator on the power control.