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MISO Broadcast Channel With Hybrid CSIT: Beyond Two Users

机译:具有混合CSIT的MISO广播频道:超过两个用户

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We study the impact of heterogeneity of channel-state-information available at the transmitters (CSIT) on the capacity of broadcast channels with a multiple-antenna transmitter and k single-antenna receivers (MISO BC). In particular, we consider the k -user MISO BC, where the CSIT with respect to each receiver can be either instantaneous/perfect, delayed, or not available; and we study the impact of this heterogeneity of CSIT on the degrees-of-freedom (DoFs) of such network. We first focus on the three-user MISO BC, and we completely characterize the DoF region for all possible heterogeneous CSIT configurations, assuming linear encoding strategies at the transmitters. The result shows that the state-of-the-art achievable schemes in the literature are indeed sum-DoF optimal, when restricted to linear encoding schemes. To prove the result, we develop a novel bound, called interference decomposition bound, which provides a lower bound on the interference dimension at a receiver which supplies delayed CSIT based on the average dimension of constituents of that interference, thereby decomposing the interference into its individual components. Furthermore, we extend our outer bound on the DoF region to the general k -user MISO BC, and demonstrate that it leads to an approximate characterization of linear sum-DoF to within an additive gap of 0.5 for a broad range of CSIT configurations. Moreover, for the special case where only one receiver supplies delayed CSIT, we completely characterize the linear sum-DoF.
机译:我们研究了多天线发射机和k个单天线接收机(MISO BC)在发射机(CSIT)处可用的信道状态信息异质性对广播信道容量的影响。特别地,我们考虑第k个用户的MISO BC,其中关于每个接收器的CSIT可以是瞬时的/完美的,延迟的或不可用的;并且我们研究了CSIT的这种异质性对这种网络的自由度(DoF)的影响。我们首先关注于三用户MISO BC,并假设发射机处采用线性编码策略,我们对所有可能的异构CSIT配置的DoF区域进行了完整表征。结果表明,当限于线性编码方案时,文献中的最新可实现方案确实是sum-DoF最优的。为了证明结果,我们开发了一种新的界限,称为干扰分解界限,它在接收机的干扰维度上提供了一个下限,该接收机根据该干扰成分的平均维度提供延迟的CSIT,从而将干扰分解为单个干扰组件。此外,我们将DoF区域上的外边界扩展到了一般的k用户MISO BC,并证明了它可以在很宽的CSIT配置范围内将线性和DoF的近似特征定在0.5的附加间隔内。此外,对于只有一个接收器提供延迟CSIT的特殊情况,我们完全表征了线性和DoF。

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