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arXiv 0704.3969cs.ITmath.IT
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MIMO多跳中继信道的分集-第一部分:放大和转发

Diversity of MIMO Multihop Relay Channels - Part I: Amplify-and-Forward

Sheng Yang, Jean-Claude Belfiore

摘要:

在这两部分的文件中,我们考虑多天线多跳中继信道中的源信号到达目的地通过N个独立的中继跳串联。这项工作的主要关注点是设计中继策略,有效地利用继电器在这样一种方式,多样性最大化。在第一部分中,我们专注于放大和转发(AF)的策略,中继简单地缩放接收到的信号,更具体地说,我们描述了分集复用权衡(DMT)的AF计划在一般的多跳信道与任意数量的天线和任意数量的跳数。DMT是作为每个节点处的天线数量的函数的封闭形式的表达式。首先,我们提供了一般瑞利乘积信道的DMT的一些基本结果。事实证明,这些结果具有非常简单和直观的解释。然后,将结果应用于AF多跳信道,该信道被证明是等效的瑞利乘积信道,在DMT意义上。最后,提出了AF格式的一种变体--投影-转发(PF)格式。我们表明,PF方案具有相同的DMT的AF计划,而PF可以有显着的功率增益超过AF计划在某些情况下。在第二部分中,我们将推导出上界的多样性的多跳信道,并表明它可以通过分割成AF子信道的多跳信道。

英文摘要:

In this two-part paper, we consider the multiantenna multihop relay channels in which the source signal arrives at the destination through N independent relaying hops in series. The main concern of this work is to design relaying strategies that utilize efficiently the relays in such a way that the diversity is maximized. In part I, we focus on the amplify-and-forward (AF) strategy with which the relays simply scale the received signal and retransmit it. More specifically, we characterize the diversity-multiplexing tradeoff (DMT) of the AF scheme in a general multihop channel with arbitrary number of antennas and arbitrary number of hops. The DMT is in closed-form expression as a function of the number of antennas at each node. First, we provide some basic results on the DMT of the general Rayleigh product channels. It turns out that these results have very simple and intuitive interpretation. Then, the results are applied to the AF multihop channels which is shown to be equivalent to the Rayleigh product channel, in the DMT sense. Finally, the project-and-forward (PF) scheme, a variant of the AF scheme, is proposed. We show that the PF scheme has the same DMT as the AF scheme, while the PF can have significant power gain over the AF scheme in some cases. In part II, we will derive the upper bound on the diversity of the multihop channels and show that it can be achieved by partitioning the multihop channel into AF subchannels.

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