Abstract
In this paper, power control problem for full-duplex communications in two-tier femtocell networks is studied, where femtocells share the same frequency with macrocell uplink. In order to be more practical, the channel uncertainty in the real communication environment is considered, and described as probability constraints. To reduce the cross-tier and co-tier interferences among users and achieve the tradeoff of better quality of service(QoS) requirement and lower power consumption, a hierarchical game framework to allocate power is formulated. According to different design objectives, marginal utility and the symbol error rate (SER) are guaranteed in uplink, and transmission rate and delay are guaranteed in downlink. The utility of both uplink and downlink users are maximized. The Lagrangian method and sub-gradient method are used to solve the optimization problem and determine the optimal solution, respectively. A power iteration algorithm to achieve game equilibrium is provided. The simulation results show that the proposed algorithm behaves better performance in aspect of convergence, robustness and QoS provisioning.
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