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首页> 外文期刊>IEEE Transactions on Information Theory >Degrees of Freedom of the Two-User MIMO Broadcast Channel With Private and Common Messages Under Hybrid CSIT Models
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Degrees of Freedom of the Two-User MIMO Broadcast Channel With Private and Common Messages Under Hybrid CSIT Models

机译：混合CSIT模型下带有私人消息和公共消息的两用户MIMO广播信道的自由度

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摘要

We establish the degree of freedom (DoF) regions of the two-user multiple-input multiple-output (MIMO) broadcast channel with a general message set (BC-GM), that includes private and common messages, under fast fading. Nine different channel state knowledge assumptions—collectively known as hybrid channel state information at the transmitter (CSIT) models—are considered wherein the transmitter has either perfect/instantaneous, delayed, or no CSI from each of the two receivers. General antenna configurations are addressed wherein the three terminals have arbitrary numbers of antennas. The DoF regions are established for the five hybrid CSIT models in which either both channels are unknown at the transmitter or each of the two channels is known perfectly or with delay. In the four remaining cases in which exactly one of the two channels is unknown at the transmitter, the DoF regions under the restriction of linear encoding strategies—also known as the linear DoF (LDoF) regions—are established. As the key to the converse proofs of the LDoF region of the MIMO BC-GM under such hybrid CSIT assumptions, we show that, when only considering linear encoding strategies, the CSI from the receiver with more antennas does not help if there is no CSI available from the receiver with fewer antennas. This result is conjectured to be true even without the restriction on the encoding strategies to be linear. If true, the LDoF regions obtained for the four hybrid CSIT cases herein will also be the DoF regions for those cases. Many of the results of this paper when specialized to even the two-message problems are new. These include the LDoF regions, when one of the two channels is not known, of the MIMO BC-GM when specialized to the MIMO BC with private messages. They also include the DoF/LDoF regions for all the hybrid CSIT models obtained by specializing the corresponding regions for the MIMO BC-GM to the case with degraded messages.
机译：我们利用快速衰落下的通用消息集（BC-GM）来建立两用户多输入多输出（MIMO）广播信道的自由度（DoF）区域，其中包括通用消息集（BC-GM）。考虑了九种不同的信道状态知识假设（在发射器（CSIT）模型中统称为混合信道状态信息），其中，发射器具有来自两个接收器中的每一个的完美/瞬时，延迟或无CSI。解决了通用的天线配置，其中三个端子具有任意数量的天线。为五个混合CSIT模型建立了DoF区域，在该区域中，两个信道在发射机处都不是已知的，或者两个信道中的每个信道都是已知的或有延迟的。在剩下的四个情况下，在发射机处两个通道中的一个确切是未知的，在线性编码策略（也称为线性DoF（LDoF））的限制下建立了DoF区域。作为在这种混合CSIT假设下MIMO BC-GM的LDoF区域反证明的关键，我们表明，仅考虑线性编码策略时，如果没有CSI，则来自具有更多天线的接收器的CSI并没有帮助天线较少的接收器即可使用。即使没有将编码策略限制为线性的，也可以推测该结果是正确的。如果为true，则在此为四个混合CSIT案例获得的LDoF区域也将是那些案例的DoF区域。专门针对两种消息的问题，本文的许多结果都是新的。当专用于带有专用消息的MIMO BC时，这包括MIMO BC-GM的LDoF区域（当两个信道之一未知时）。它们还包括针对所有混合CSIT模型的DoF / LDoF区域，这些区域是通过将MIMO BC-GM的相应区域专门用于消息质量下降的情况而获得的。

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