Multiuser Two-way relaying with power control for SC-FDE systems

In this paper, we investigate cooperative Single-Carrier Frequency-Domain Equalization (SC-FDE) for two-way relay networks, where multiple users each equipped with multiple antennas exchange their information through a multi-antenna relay node in a bi-directional manner. Under network total power constraint, we present optimal relay beamforming for the multiuser two-way relay system, where the relay transceiver processor is designed based on the minimum mean-square-error (MMSE) criterion. We drive a closed-form expression for the signal-to-interference noise ratio (SEVR) at each of the user terminals, and further present a joint user-relay antenna selection algorithm by applying the estimation of distribution algorithm (EDA). The proposed EDA has a low computational complexity, and its effectiveness is verified through simulation results.