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In this paper, the filter-and-forward (FF) relay design for multiple-inputmultiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM)systems is considered. Due to the considered MIMO structure, the problem ofjoint design of the linear MIMO transceiver at the source and the destinationand the FF relay at the relay is considered. As the design criterion, theminimization of weighted sum mean-square-error (MSE) is considered first, andthe joint design in this case is approached based on alternating optimizationthat iterates between optimal design of the FF relay for a given set of MIMOprecoder and decoder and optimal design of the MIMO precoder and decoder for agiven FF relay filter. Next, the joint design problem for rate maximization isconsidered based on the obtained result regarding weighted sum MSE and theexisting result regarding the relationship between weighted MSE minimizationand rate maximization. Numerical results show the effectiveness of the proposedFF relay design and significant performance improvement by FF relays overwidely-considered simple AF relays for MIMO-ODFM systems.

Filter-And-Forward Relay Design for MIMO-OFDM Systems