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arXiv 1002.0235cs.ITmath.IT
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基于干扰对齐的随机高斯干扰网络的渐近容量和

Asymptotic Sum-Capacity of Random Gaussian Interference Networks Using Interference Alignment

Matthew Aldridge, Oliver Johnson, Robert Piechocki

摘要:

我们考虑一个密集的n用户高斯干扰网络形成的成对的发射机和接收机放置在随机的欧几里德空间。在节点位置分布和信号衰减的自然条件下,证明了平均每用户容量C_Sigma/n依概率收敛于1/2 Elog(1 + 2SNR)。可扩展性的结果直接从结果的基础上提出的干扰对齐计划在最近的工作Nazer等人。我们的主要贡献来自通过相反的结果,动机的想法'瓶颈链接'在最近的工作Jafar开发。信息论的参数给出了这样的瓶颈链路的容量限制,概率计数参数显示有足够多的这样的链路,以紧密约束整个网络的总容量。

英文摘要:

We consider a dense n-user Gaussian interference network formed by paired transmitters and receivers placed independently at random in Euclidean space. Under natural conditions on the node position distributions and signal attenuation, we prove convergence in probability of the average per-user capacity C_Sigma/n to 1/2 E log(1 + 2SNR). The achievability result follows directly from results based on an interference alignment scheme presented in recent work of Nazer et al. Our main contribution comes through the converse result, motivated by ideas of `bottleneck links' developed in recent work of Jafar. An information theoretic argument gives a capacity bound on such bottleneck links, and probabilistic counting arguments show there are sufficiently many such links to tightly bound the sum-capacity of the whole network.

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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