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arXiv 1102.2498cs.ITmath.IT
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双单播无线网络的自由度特征

Two-Unicast Wireless Networks: Characterizing the Degrees-of-Freedom

Ilan Shomorony, A. Salman Avestimehr

摘要:

我们考虑两个源两个目的地(即,双单播)多跳无线网络,其具有任意连接性的分层结构。我们表明,如果信道增益是根据连续分布独立选择的,那么在概率为1的情况下,两个单播分层高斯网络只能有1,3/2或2个和自由度(除非两个源-目的地对都是断开的,在这种情况下,没有自由度可以实现)。我们提供了充分和必要的条件,为每种情况下的网络连接和一个新的概念的源-目的地路径与可管理的干扰。我们的可扩展性方案是基于转发接收到的信号在所有节点,除了他们中的一小部分在最多两个关键层。因此,我们有效地创建了一个最多有四层(包括源层和目的地层)的“浓缩网络”。我们设计的传输策略的基础上,这个凝聚网络的结构。相反的结果是通过发展信息理论的不等式,捕捉网络连接的结构。最后,我们扩展了这一结果,并描述了两个单播分层无线网络的全自由度区域。

英文摘要:

We consider two-source two-destination (i.e., two-unicast) multi-hop wireless networks that have a layered structure with arbitrary connectivity. We show that, if the channel gains are chosen independently according to continuous distributions, then, with probability 1, two-unicast layered Gaussian networks can only have 1, 3/2 or 2 sum degrees-of-freedom (unless both source-destination pairs are disconnected, in which case no degrees-of-freedom can be achieved). We provide sufficient and necessary conditions for each case based on network connectivity and a new notion of source-destination paths with manageable interference. Our achievability scheme is based on forwarding the received signals at all nodes, except for a small fraction of them in at most two key layers. Hence, we effectively create a "condensed network" that has at most four layers (including the sources layer and the destinations layer). We design the transmission strategies based on the structure of this condensed network. The converse results are obtained by developing information-theoretic inequalities that capture the structures of the network connectivity. Finally, we extend this result and characterize the full degrees-of-freedom region of two-unicast layered wireless networks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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