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arXiv 2004.11918cs.ITmath.IT
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分散网络MISO信道上集中速率的渐近实现

Asymptotically Achieving Centralized Rate on the Decentralized Network MISO Channel

Antonio Bazco-Nogueras, Paul de Kerret, David Gesbert, Nicolas Gresset

摘要:

我们分析了MxK网络MISO信道的高SNR机制,其中每个发射机都可以获得不同的信道估计,可能具有不同的精度。最近已经表明,对于某些机制,该设置获得与具有完美CSI共享的理想集中式设置相同的自由度,其中所有发射机被赋予在任何发射机处可用的最佳估计。该结果受到DoF度量的限制,因为它仅提供关于作为SNR的函数的容量增长的斜率的信息,而没有关于给定SNR下的可能性能的任何洞察。为了克服这一限制,我们分析了这种分散式网络MISO设置的天线配置在高SNR状态下的速率的仿射近似,其中它实现了集中式设置的DoF。我们表明,对于一个政权的天线配置,它是可能的渐近达到相同的可实现的速率,在理想的集中的情况下。因此,即使只有发射机的子集被赋予精确的CSI,也可以实现理想的完美CSI共享设置的波束成形增益,这可以在诸如发射天线的数量远大于所服务的用户的数量的分布式大规模MIMO的场景中被利用。该结果是发射机处的CSI精度与本地计算的预编码器之间的一致性之间的协同折衷的结果,这是集中式CSI配置中不存在的分散式设置的固有折衷。我们提出了一个预编码方案实现以前的结果,这是建立在一个不均匀的结构,其中一些发射机降低了自己的预编码的精度,为了使用传输参数,可以更容易地预测由其他发射机。

英文摘要:

We analyze the high-SNR regime of the MxK Network MISO channel in which each transmitter has access to a different channel estimate, possibly with different precision. It has been recently shown that, for some regimes, this setting attains the same Degrees-of-Freedom as the ideal centralized setting with perfect CSI sharing, in which all the transmitters are endowed with the best estimate available at any transmitter. This result is restricted by the limitations of the DoF metric, as it only provides information about the slope of growth of the capacity as a function of the SNR, without any insight about the possible performance at a given SNR. To overcome this limitation, we analyze the affine approximation of the rate on the high-SNR regime for this decentralized Network MISO setting for the antenna configurations in which it achieves the DoF of the centralized setting. We show that, for a regime of antenna configurations, it is possible to asymptotically attain the same achievable rate as in the ideal centralized scenario. Consequently, it is possible to achieve the beamforming gain of the ideal perfect-CSI-sharing setting even if only a subset of transmitters is endowed with precise CSI, which can be exploited in scenarios such as distributed massive MIMO where the number of transmit antennas is much bigger than the number of served users. This outcome is a consequence of the synergistic compromise between CSI precision at the transmitters and consistency between the locally-computed precoders, which is an inherent trade-off of decentralized settings that does not exist in a centralized CSI configuration. We propose a precoding scheme achieving the previous result, which is built on an uneven structure in which some transmitters reduce the precision of their own precoding for the sake of using transmission parameters that can be more easily predicted by the other transmitters.

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