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In this paper, the authors consider a scenario where one energy harvesting and one battery operated sensor cooperatively transmit a common message to a distant base station. The goal is to find the jointly optimal transmission (power allocation) policy which maximizes the total throughput for a given dead-line. First, they address the case in which the storage capacity of the energy harvesting sensor is infinite. In this context, users identify the necessary conditions for such optimal transmission policy. On their basis, they first show that the problem is convex. Then they go one step beyond and prove that; the optimal power allocation for the energy harvesting sensor can be computed independently and it unequivocally determines (and allows to compute) that of the battery operated one.
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