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In this paper, the authors propose a new joint optimization of linear transmit beamforming and receive combining vectors for the Multiple-Input Multiple-Output (MIMO) broadcast channel. They consider the transmission of a single information stream to two users with two or more receive antennas. Unlike past work in which iterative computation is required to design the beamformers, they derive specific formulations for the transmit beamformers for two active users via a power iteration and a generalized eigen analysis. To enable practical implementation, a new limited feedback algorithm is proposed that exploits the structure of the algorithm to avoid full channel quantization.
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