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arXiv 0705.1922cs.ITmath.IT
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大型无线网络中的结晶

Crystallization in large wireless networks

Veniamin I. Morgenshtern, Helmut Boelcskei

摘要:

我们分析了衰落干扰中继网络,其中M个单天线源-目的地终端对同时通信,并在同一频带通过一组K个单天线中继使用半双工两跳中继。假设中继有信道状态信息(CSI),它示出,在大M的限制,提供K增长足够快的M的函数,网络的“applicles”在这个意义上,个人的源-目的地终端对容量是严格的积极的。相应的所需的增长率K作为M的函数被发现是足够的,也使个人的源-目的地衰落链路收敛到非衰落链路。我们说网络“结晶”,因为它分解成一组有效隔离的“空中电线”。进行大偏差分析以表征“结晶”速率,即,解耦链路收敛到非衰落链路的速率(作为M,K的函数)。在这个分析的过程中,我们开发了一种新的技术,用于表征某些相依随机变量和的大偏差行为。对于在中继级没有CSI的情况,假设放大转发中继,我们计算每个源-目的地终端对容量为M,K收敛到无穷大,K/M保持固定,使用大随机矩阵理论的工具。

英文摘要:

We analyze fading interference relay networks where M single-antenna source-destination terminal pairs communicate concurrently and in the same frequency band through a set of K single-antenna relays using half-duplex two-hop relaying. Assuming that the relays have channel state information (CSI), it is shown that in the large-M limit, provided K grows fast enough as a function of M, the network "decouples" in the sense that the individual source-destination terminal pair capacities are strictly positive. The corresponding required rate of growth of K as a function of M is found to be sufficient to also make the individual source-destination fading links converge to nonfading links. We say that the network "crystallizes" as it breaks up into a set of effectively isolated "wires in the air". A large-deviations analysis is performed to characterize the "crystallization" rate, i.e., the rate (as a function of M,K) at which the decoupled links converge to nonfading links. In the course of this analysis, we develop a new technique for characterizing the large-deviations behavior of certain sums of dependent random variables. For the case of no CSI at the relay level, assuming amplify-and-forward relaying, we compute the per source-destination terminal pair capacity for M,K converging to infinity, with K/M staying fixed, using tools from large random matrix theory.

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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