Fair Energy-Efficient Resource Allocation over Fading TDMA Channels

In this paper, we consider the energy-efficient resource allocation that minimizes a general cost function of average user powers in wireless networks. A class of so-called beta-fair cost functions is derived to balance the tradeoff between efficiency and fairness in energy-efficient designs. With these novel cost functions, optimal resource allocation schemes are developed for fading time-division multiple-access (TDMA) channels. Relying on stochastic approximation tools, we further develop the corresponding stochastic schemes which are capable of dynamically learning the intended wireless channels and converging to the optimal benchmark without a priori knowledge of fading distribution function.