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We consider an energy-harvesting communication system where a transmitterpowered by an exogenous energy arrival process and equipped with a finitebattery of size $B_{max}$ communicates over a discrete-time AWGN channel. Wefirst concentrate on a simple Bernoulli energy arrival process where at eachtime step, either an energy packet of size $E$ is harvested with probability$p$, or no energy is harvested at all, independent of the other time steps. Weprovide a near optimal energy control policy and a simple approximation to theinformation-theoretic capacity of this channel. Our approximations for bothproblems are universal in all the system parameters involved ($p$, $E$ and$B_{max}$), i.e. we bound the approximation gaps by a constant independent ofthe parameter values. Our results suggest that a battery size $B_{max}\geq E$is (approximately) sufficient to extract the infinite battery capacity of thischannel. We then extend our results to general i.i.d. energy arrival processes.Our approximate capacity characterizations provide important insights for theoptimal design of energy harvesting communication systems in the regime whereboth the battery size and the average energy arrival rate are large.

Near Optimal Energy Control and Approximate Capacity of Energy Harvesting Communication