Energy-constrained throughput maximization for point-to-point communications

We consider a very basic communication scenario: a transmitter sends data to a receiver over a single invariant link, where each side has a certain energy budget which is a common restriction for sensor nodes powered by batteries or energy harvesting components. Given the channel coefficient, the instantaneous data rate that can be achieved depends on the transmit power employed by the transmitter, and the resolution of the analog-to-digital converter (ADC) employed by the receiver. The power consumptions of the transmitter and the receiver also depend, respectively, on these two parameters. In this paper we seek to answer the question: what is the transmit and receive strategy that leads to the maximal throughput achieved on a finite time interval [0, T], given the individual energy constraints at the transmitter and the receiver? The underlying control problem, which is found non-convex in its original form, can be made convex by a reconstruction of the power-rate surface based on which the optimal solution can be conveniently determined.