An Iterative Semidefinite and Geometric Programming Technique for the SINR Balancing in Two-Way Relay Network

In this paper, we consider a two-way amplify-and-forward relaying scheme, which consists of multiple transceivers and r relay nodes. Assuming that both the transceivers and the relays are equipped with single antennas, we deploy a signal-to-interference and noise-ratio (SINR) balancing technique, where the smallest of the transceivers SINRs is maximized under a total transmit power constraint. We solve this problem through an iterative procedure that uses semidefinite and geometric programming along with bisection search methods. We evaluate the performance of the proposed scheme in terms of the mean SINR for various relays and power at the relays.