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In this paper, we consider a dual-hop Multiple Input Multiple Output (MIMO)wireless relay network in the presence of imperfect channel state information(CSI), in which a source-destination pair both equipped with multiple antennascommunicates through a large number of half-duplex amplify-and-forward (AF)relay terminals. We investigate the performance of three linear beamformingschemes when the CSI of relay-to-destination (R-D) link is not perfect at therelay nodes. The three efficient linear beamforming schemes are based on thematched-filter (MF), zero-forcing (ZF) precoding and regularized zero-forcing(RZF) precoding techniques, which utilize the CSI of both S-D channel and R-Dchannel at the relay nodes. By modeling the R-D CSI error at the relay nodes asindependent complex Gaussian random variables, we derive the ergodic capacitiesof the three beamformers in terms of instantaneous SNR. Using Law of LargeNumber, we obtain the asymptotic capacities, upon which the optimized MF-RZF isderived. Simulation results show that the asymptotic capacities match with therespective ergodic capacities very well. Analysis and simulation resultsdemonstrate that the optimized MF-RZF outperforms MF and MF-ZF for any power ofR-D CSI error.

Capacity Performance of Relay Beamformings for MIMO Multi-Relay Networks with Imperfect R-D CSI at Relays