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Achieving Full DoF in Heterogeneous Parallel Broadcast Channels With Outdated CSIT

机译:使用过时的CSIT在异构并行广播信道中实现完全自由度

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We consider communication over heterogeneous parallel channels, where a transmitter is connected to two users via two parallel channels: a multiple-input multiple-output (MIMO) broadcast channel (BC) and a noiseless rate-limited multicast channel. We characterize the optimal degrees of freedom (DoF) region of this setting when the transmitter has delayed channel state information (CSIT) regarding the MIMO BC. Our results show that jointly coding over the two channels strictly outperforms simple channel aggregation and can even achieve the instantaneous CSIT performance with completely outdated CSIT on the MIMO BC in the sum DoF sense; this happens when the multicast rate of the second channel is larger than a certain threshold. The main idea is to send information over the MIMO BC at a rate above its capacity and then use the second channel to send additional side information to allow for reliable decoding at both receivers. We call this scheme a two-phase overload-multicast strategy. We show that such a strategy is also sum DoF optimal for the K-user MIMO BC with a parallel multicast channel when the rate of the multicast channel is high enough and can again achieve the instantaneous CSIT performance (optimal sum DoF) with completely outdated CSIT. For the regime where the capacity of the multicast channel is small, we propose another joint coding strategy, which is sum DoF optimal.
机译:我们考虑在异构并行信道上进行通信,其中,发射机通过两个并行信道连接到两个用户:多输入多输出(MIMO)广播信道(BC)和无噪声速率限制的多播信道。当发射机具​​有有关MIMO BC的延迟信道状态信息(CSIT)时,我们将表征此设置的最佳自由度(DoF)区域。我们的结果表明,在两个DoF意义上,在两个信道上联合编码严格地胜过简单的信道聚合,甚至可以在MIMO BC上完全过时的CSIT上实现瞬时CSIT性能;当第二个通道的多播速率大于某个阈值时,会发生这种情况。主要思想是通过MIMO BC以高于其容量的速率发送信息,然后使用第二个信道发送其他辅助信息,以便在两个接收器处进行可靠的解码。我们将此方案称为两阶段过载多播策略。我们表明,当多播信道的速率足够高时,这种策略对于具有并行多播信道的K用户MIMO BC也是总DoF最优的,并且可以在完全过时的CSIT下再次获得瞬时CSIT性能(最优总和DoF)。 。对于多播信道容量较小的情况,我们提出了另一种联合编码策略,即总和DoF最优。

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