Consider the problem of power control for an energy harvesting communication system, where the transmitter is equipped with a finite-sized rechargeable battery and is able to look ahead to observe a fixed number of future energy arrivals. An implicit characterization of the maximum average throughput over an additive white Gaussian noise channel and the associated optimal power control policy is provided via the Bellman equation under the assumption that the energy arrival process is stationary and memoryless. A more explicit characterization is obtained for the case of Bernoulli energy arrivals by means of asymptotically tight upper and lower bounds on both the maximum average throughput and the optimal power control policy. Apart from their pivotal role in deriving the desired analytical results, such bounds are highly valuable from a numerical perspective as they can be efficiently computed using convex optimization solvers.

翻译：考虑到能源收获通信系统的电力控制问题,在这种系统中,发射机配备了有限的可再充电电池,并能够展望未来观测到固定数量的能源,通过Bellman等式对添加白高斯噪音频道的最大平均输送量和相关的最佳电力控制政策作了隐含的描述,假设能源到达过程是静止的,没有记忆;对于伯努利能源到达的情况,则通过在最高平均输送量和最佳电力控制政策上上下不时紧凑的方式,对伯努利能源到达的情况作了更明确的描述;除了在得出预期分析结果方面起关键作用外,从数字角度而言,这种界限具有很高的价值,因为利用convex优化处理器可以有效地计算这些界限。