Optimal beamforming for two-way multi-antenna relay channel with analogue network coding
IEEE Journal on Selected Areas in Communications - Special issue on network coding for wireless communication networks
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IEEE Journal on Selected Areas in Communications
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In this paper, an mean squared error-optimal relaying scheme is presented for two-way multiple-input multiple-output cooperative relaying systems where only partial channel state information (CSI) is available at the relays due to the high speed mobility. By considering two typical CSI scenarios, namely, fixed relays and high-velocity mobile relays, an optimum relaying scheme is designed for multi-antenna relays. The difficulty of the optimizations lies in the unknown channel response and the special structure of the block diagonal relaying matrix. It is proved that the optimization problem can be converted to an easy-to-solve problem by performing matrix manipulations and employing the channel statistics, such that the Lagrangian multiplier method is ready to be used to obtain an analytical solution. Simulation study is conducted to justify the superior performance of the proposed two-way relaying scheme.