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A wireless relay with multiple antennas is called a Multiple-Input-Multiple-Output (MIMO) switch if it maps its input links to its output links using "Precode-and-forward." Namely, the MIMO switch precodes the received signal vector in the uplink using some matrix for transmission in the downlink. This paper studies the scenario of K stations and a MIMO switch, which has full channel state information. The precoder at the MIMO switch is either a zero-forcing matrix or a network coding matrix. With the zero-forcing precoder, each destination station receives only its desired signal with enhanced noise but no interference.
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