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On the Optimality of 'Half the Cake' for K-user Rank-Deficient (M_k × M_k) Interference Channel

机译:关于k用户秩缺陷(M_K×M_K)干扰通道的“半蛋糕”的最优性

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By introducing a novel outer bound, we find a sufficient condition for optimality of ∑_(k=1)~K M_k/2 degrees of freedom (half the cake per user) for a K-user multiple-input-multiple-output (MIMO) interference channel (IC) where the cross-channels have arbitrary rank constraints, and the k~(th) transmitter and receiver are equipped with M_k 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 k~(th) user pair has M_k antennas.
机译:通过引入新颖的外部绑定,找到足够的条件,以获得Σ_(k = 1)〜K m_k / 2自由度(每个用户的一半的蛋糕),用于k用户多输入多输出( MIMO)干扰通道(IC),其中交叉通道具有任意秩约束,并且K〜(TH)发射器和接收器各自配备有M_K天线。结果通过Krishnamurthy等人的先前研究综合并显着呈现出来的结果。缺乏所有用户都有M天线的秩缺乏干扰渠道;并通过Tang等,是k〜(th)用户对具有m_k天线的完整排名干扰通道。

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