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DoF Analysis of the MIMO Broadcast Channel With Alternating/Hybrid CSIT

机译：具有交替/混合CSIT的MIMO广播信道的DoF分析

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摘要

We consider a -user multiple-input single-output (MISO) broadcast channel (BC) where the channel state information (CSI) of user may be instantaneously perfect (P), delayed (D), or not known (N) at the transmitter with probabilities , , and , respectively. In this setting, according to the three possible CSI at the transmitter (CSIT) for each user, knowledge of the joint CSIT of the users could have at most states. In this paper, given the marginal probabilities of CSIT (i.e., , , and ), we derive an outer bound for the degrees of freedom (DoF) region of the -user MISO BC. Subsequently, we tighten this outer bound by considering a set of inequalities that capture some of the states of the joint CSIT. One of the consequences of this set of inequalities is that for , it is shown that the DoF region is not completely character- zed by the marginal probabilities in contrast to the two-user case. Afterwards, the tightness of these bounds is investigated through the discussion on the achievability. Finally, a two user multiple-input multiple-output BC having CSIT among P and N is considered in which an outer bound for the DoF region is provided, and it is shown that in some scenarios, it is tight.
机译：我们考虑一个-用户多输入单输出（MISO）广播信道（BC），其中用户的信道状态信息（CSI）可能是瞬时完美（P），延迟（D）或未知（N）。的概率分别为，和。在此设置中，根据每个用户在发射器（CSIT）处的三个可能的CSI，对用户的联合CSIT的了解最多可能具有状态。在本文中，鉴于CSIT的边际概率（即，和），我们得出了-用户MISO BC的自由度（DoF）区域的外边界。随后，我们通过考虑捕获联合CSIT某些状态的一组不等式来加强这一外部界限。这组不等式的后果之一是，对于，表明与两个用户的情况相比，DoF区域不完全由边际概率表征。然后，通过关于可实现性的讨论来研究这些界限的紧密性。最后，考虑在P和N之间具有CSIT的两用户多输入多输出BC，其中提供了用于DoF区域的外边界，并且表明在某些情况下，它是紧密的。

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