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首页> 外文期刊>IEEE Transactions on Information Theory >Replication-Based Outer Bounds: On the Optimality of “Half the Cake” for Rank-Deficient MIMO Interference Networks
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Replication-Based Outer Bounds: On the Optimality of “Half the Cake” for Rank-Deficient MIMO Interference Networks

机译：基于复制的外边界：针对秩不足的MIMO干扰网络的“半蛋糕”的最优性

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摘要

In order to gain new insights into multiple-input- multiple-output (MIMO) interference networks, the optimality of Σ M/2 (half the cake per user) degrees of freedom is explored for a K-user MIMO interference channel where the cross-channels have arbitrary rank constraints, and the kth transmitter and receiver are equipped with M antennas each. The result consolidates and significantly generalizes results from prior studies by Krishnamurthy et al., of rank-deficient interference channels where all users have M antennas; and by Tang et al., of full rank interference channels where the kth user pair has M antennas. The broader outcome of this paper is a novel class of replication-based outer bounds for arbitrary rank-constrained MIMO interference networks where replicas of existing users are added as auxiliary users and the network connectivity is chosen to ensure that any achievable scheme for the original network also works in the new network. The replicated network creates a new perspective of the problem, so that even simple arguments such as user cooperation become quite powerful when applied in the replicated network, giving rise to stronger outer bounds, than when applied directly in the original network. Remarkably, the replication-based bounds are broadly applicable not only to MIMO interference channels with arbitrary rank-constraints, but much more broadly, even beyond Gaussian settings.
机译：为了获得对多输入多输出（MIMO）干扰网络的新见解，对于K用户MIMO干扰信道，探索了ΣM / 2（每用户半蛋糕）自由度的最优性。 -信道具有任意的秩限制，并且第k个发射机和接收机分别配备有M个天线。该结果巩固并大大概括了Krishnamurthy等人先前对秩均不足的干扰信道的研究结果，在该信道中，所有用户都有M根天线；以及由Tang等人提供的第k个用户对具有M个天线的全秩干扰信道。本文的广泛结果是针对任意等级受限的MIMO干扰网络的一种新颖的基于复制的外部边界，其中将现有用户的副本添加为辅助用户，并选择网络连接以确保原始网络可实现的任何方案也可以在新网络中使用。复制网络创建了问题的新视角，因此，与直接应用到原始网络中相比，即使简单的参数（如用户合作）在复制网络中应用时也变得非常强大，从而产生了更强的边界。值得注意的是，基于复制的范围不仅可广泛应用于具有任意秩约束的MIMO干扰信道，而且甚至可适用于甚至超过高斯设置的情况。

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  • 来源
    《IEEE Transactions on Information Theory》 |2017年第10期|6607-6621|共15页
  • 作者

    Bofeng Yuan; Hua Sun; Syed Ali Jafar;

  • 作者单位

    Department of Electrical Engineering and Computer Science, Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA;

    Department of Electrical Engineering and Computer Science, Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA;

    Department of Electrical Engineering and Computer Science, Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    MIMO; Interference channels; Transmitters; Receiving antennas;

    机译：MIMO;干扰信道;发射机;接收天线;

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