Joint energy-bandwidth allocation for multi-user channels with cooperating hybrid energy nodes

In this paper, we consider the energy-bandwidth allocation for a network of multiple users, where the transmitters each powered by both an energy harvester and conventional grid, access the network orthogonally on the assigned frequency band. The tradeoff among the weighted sum throughput, the use of grid energy, and the amount of energy cooperation is studied through an optimization objective which is a linear combination of these quantities. To solve the problem efficiently, an iterative algorithm is proposed using the Proximal Jacobian ADMM. We show that this algorithm converges to the optimal solution with an overall complexity of O(N 2 K 2 ). Numerical results show that the proposed algorithms can make efficient use of the harvested energy, grid energy, energy cooperation, and the available bandwidth.