%0 Journal Article %1 feghhi2014power %A Feghhi, Mahmood Mohassel %A Mirmohseni, Mahtab %A Abbasfar, Aliazam %D 2014 %K Allocation Channels Energy Full-Duplex Harvesting Power Relay %T Power Allocation in the Energy Harvesting Full-Duplex Gaussian Relay Channels %U http://arxiv.org/abs/1411.3716 %X In this paper, we propose a general model to study the full-duplex non-coherent decode-and-forward Gaussian relay channel with energy harvesting (EH) nodes, called NC-EH-$RC$, in three cases: $i)$ no energy transfer (ET), $ii)$ one-way ET from the source (S) to the relay (R), and $iii)$ two-way ET. We consider the problem of optimal power allocation in NC-EH-$RC$ in order to maximize the total transmitted bits from S to the destination in a given time duration. General stochastic energy arrivals at S and R with known EH times and values are assumed. In NC-EH-$RC$ with no ET, the complicated min-max optimization form along with its constraints make the problem intractable. It is shown that this problem can be transformed to a solvable convex form; however, convex optimization solution does not provide the structural properties of the optimal solution. Therefore, following an alternative perspective, we investigate conditions on harvesting process of S and R where we find optimal algorithmic solution. Further, we propose some suboptimal algorithms and provide some examples, in which the algorithms are optimal. Moreover, we find a class of problems for NC-EH-$RC$ with one-way ET from S to R, where the optimal algorithmic solution is devised. For NC-EH-$RC$ with two-way ET, we propose general optimal algorithmic solution. Furthermore, the performance of the proposed algorithms are evaluated numerically and compared with optimal numerical convex optimization tools.

@article{feghhi2014power, abstract = {In this paper, we propose a general model to study the full-duplex non-coherent decode-and-forward Gaussian relay channel with energy harvesting (EH) nodes, called NC-EH-$\mathcal{RC}$, in three cases: $i)$ no energy transfer (ET), $ii)$ one-way ET from the source (S) to the relay (R), and $iii)$ two-way ET. We consider the problem of optimal power allocation in NC-EH-$\mathcal{RC}$ in order to maximize the total transmitted bits from S to the destination in a given time duration. General stochastic energy arrivals at S and R with known EH times and values are assumed. In NC-EH-$\mathcal{RC}$ with no ET, the complicated min-max optimization form along with its constraints make the problem intractable. It is shown that this problem can be transformed to a solvable convex form; however, convex optimization solution does not provide the structural properties of the optimal solution. Therefore, following an alternative perspective, we investigate conditions on harvesting process of S and R where we find optimal algorithmic solution. Further, we propose some suboptimal algorithms and provide some examples, in which the algorithms are optimal. Moreover, we find a class of problems for NC-EH-$\mathcal{RC}$ with one-way ET from S to R, where the optimal algorithmic solution is devised. For NC-EH-$\mathcal{RC}$ with two-way ET, we propose \emph{general} optimal algorithmic solution. Furthermore, the performance of the proposed algorithms are evaluated numerically and compared with optimal numerical convex optimization tools.}, added-at = {2014-11-17T07:43:12.000+0100}, author = {Feghhi, Mahmood Mohassel and Mirmohseni, Mahtab and Abbasfar, Aliazam}, biburl = {https://www.bibsonomy.org/bibtex/2d747c40af50feaab687865e249bfa668/mahmoodmf}, description = {Power Allocation in the Energy Harvesting Full-Duplex Gaussian Relay Channels}, interhash = {b57b6217d327cc47e282f02422039ef3}, intrahash = {d747c40af50feaab687865e249bfa668}, keywords = {Allocation Channels Energy Full-Duplex Harvesting Power Relay}, note = {cite arxiv:1411.3716Comment: Accepted for publication in International Journal of Communication Systems (Special Issue on Energy Efficient Wireless Communication Networks with QoS), October 2014}, timestamp = {2014-11-17T07:43:12.000+0100}, title = {Power Allocation in the Energy Harvesting Full-Duplex Gaussian Relay Channels}, url = {http://arxiv.org/abs/1411.3716}, year = 2014 }