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Degrees of Freedom of the MIMO Y Channel: Signal Space Alignment for Network Coding

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3 Author(s)
Namyoon Lee ; Samsung Advanced Institute of Technology (SAIT), Samsung Electronics Co., Ltd., Yongin-si, Korea ; Jong-Bu Lim ; Joohwan Chun

In this paper, we study a network information flow problem for a multiple-input-multiple-output (MIMO) Gaussian wireless network with three users each equipped with M antennas and a single intermediate relay equipped with N antennas. In this network, each user intends to convey independent messages for two different users via the intermediate relay while receiving two independent messages from the other two users. This is a generalized version of the two-way relay channel for the three-user case. We will call it a "MIMO Y channel." For this MIMO Y channel, we show that the capacity is 3M log(SNR) + o(log(SNR)) if N ≥ ⌈3M/2⌉ by using two novel signaling techniques, which are signal space alignment for network coding, and network-coding-aware interference nulling beamforming.

Published in:

IEEE Transactions on Information Theory  (Volume:56 ,  Issue: 7 )