Energy-Efficient Resource Allocation in TDMA over Fading Channels

We investigate energy-efficiency issues and resource allocation policies for time division multi-access (TDMA) over fading channels in the power-limited regime. Supposing that the channels are frequency-flat block-fading and transmitters have full channel state information (CSI), in this paper we minimize power under a weighted sum-rate constraint and show that the optimal rate and time allocation policies can be obtained by water-filling over realizations of convex envelopes of the minima for cost-reward functions. Our approach not only provides fundamental power limits when each user can support an infinite number of capacity-achieving codebooks, but also yields guidelines for practical designs where users can only support a finite number of adaptive modulation and coding (AMC) modes with prescribed symbol error probabilities