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Cooperative relay systems have become an active area of research duringrecent years since they help cellular networks to enhance data rate andcoverage. In this paper we develop a method to jointly optimize precodingmatrices for amplify-and-forward relay station and base station. Our objectiveis to increase max-min SINR fairness within co-channel users in a cell. Themain achievement of this work is avoiding any tedious alternating optimizationfor joint design of RS/BS precoders, in order to save complexity. Moreover, noconvex solver is required in this method. RS precoding is done by transformingthe underlying non-convex problem into a system of nonlinear equations which isthen solved using Levenberg-Marquardt algorithm. This method for RS precoderdesign is guaranteed to converge to a local optimum. For the BS precoder alow-complexity iterative method is proposed. The efficiency of the jointoptimization method is verified by simulations.

A Non-Alternating Algorithm for Joint BS-RS Precoding Design in Two-Way Relay Systems