Degrees of freedom of the MIMO Y channel: signal space alignment for network coding

  • Authors:
  • Namyoon Lee;Jong-Bu Lim;Joohwan Chun

  • Affiliations:
  • Samsung Advanced Institute of Technology, Samsung Electronics Co., Ltd., Yongin-si, Korea;Samsung Advanced Institute of Technology, Samsung Electronics Co., Ltd., Yongin-si, Korea;Electrical Engineering Department, Korea Advanced Institute of Science and Technology, Daejeon, Korea

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2010

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Abstract

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.