The one-to-three MIMO interference channel (IC) is a partially connected three-user IC with multiple antenna terminals where one transmitter is heard at all three receivers, thus causing interference at its two unintended receivers, whereas the other two transmitters are heard only at their respective intended receivers. In this paper, we present inner and outer bounds on the capacity region of the one-to-three MIMO IC, quantify the gap between the two bounds, and show that the gap is independent of the SNRs and INRs. In particular, the achievable scheme involves multi-level superposition coding with linear precoding based on the generalized singular value decomposition (GSVD). The outer bound is obtained using various combinations of genie information provided to the receivers.
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