Two-way relaying can improve spectral efficiency in two-user cooperativecommunications. It also has great potential in multiuser systems. A majorproblem of designing a multiuser two-way relay system (MU-TWRS) is transceiveror precoding design to suppress co-channel interference. This paper aims tostudy linear precoding designs for a cellular MU-TWRS where a multi-antennabase station (BS) conducts bi-directional communications with multiple mobilestations (MSs) via a multi-antenna relay station (RS) with amplify-and-forwardrelay strategy. The design goal is to optimize uplink performance, includingtotal mean-square error (Total-MSE) and sum rate, while maintaining individualsignal-to-interference-plus-noise ratio (SINR) requirement for downlinksignals. We show that the BS precoding design with the RS precoder fixed can beconverted to a standard second order cone programming (SOCP) and the optimalsolution is obtained efficiently. The RS precoding design with the BS precoderfixed, on the other hand, is non-convex and we present an iterative algorithmto find a local optimal solution. Then, the joint BS-RS precoding is obtainedby solving the BS precoding and the RS precoding alternately. Comprehensivesimulation is conducted to demonstrate the effectiveness of the proposedprecoding designs.
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