Optimal scheduling for energy harvesting transmitters under temperature constraints

Motivated by damage due to heating in sensor operation, we consider the throughput optimal offline data scheduling problem in an energy harvesting transmitter such that resulting temperature increase remains below a critical level. We model the temperature dynamics of the transmitter as a linear system and determine the optimal transmit power policy under such temperature constraints as well as energy harvesting constraints over an AWGN channel. We first derive the structural properties of the solution for the general case with multiple energy arrivals. We, then, obtain closed form solutions for the case of a single energy arrival. We observe that the optimal power policy is piecewise monotone decreasing with possible jumps at the energy harvesting instants, and remains constant after the temperature reaches the critical level.