In this paper, we consider a scenario where one energy harvesting and onebattery operated sensor cooperatively transmit a common message to a distantbase station. The goal is to find the jointly optimal transmission (powerallocation) policy which maximizes the total throughput for a given deadline.First, we address the case in which the storage capacity of the energyharvesting sensor is infinite. In this context, we identify the necessaryconditions for such optimal transmission policy. On their basis, we first showthat the problem is convex. Then we go one step beyond and prove that (i) theoptimal power allocation for the energy harvesting sensor can be computedindependently; and (ii) it unequivocally determines (and allows to compute)that of the battery operated one. Finally, we generalize the analysis for thecase of finite storage capacity. Performance is assessed by means of computersimulations. Particular attention is paid to the impact of finite storagecapacity and long-term battery degradation on the achievable throughput.
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