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In this paper, the authors study efficient power control schemes for delay sensitive communication over fading channels. Their objective is to find a power control law that optimizes the link layer performance, specifically, minimizes the packet drop probability, subject to a long-term average power constraint. They assume the buffer at the transmitter is finite; hence packet drop happens when the buffer is full. The fading channel under their study has a continuous state, e.g., Rayleigh fading. Since the channel state space is continuous, dynamic programming is not applicable for power control. In this paper, they propose a sub-optimal power control law based on a parametric approach.
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