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arXiv 1306.1556cs.ITcs.NImath.ITmath.PR
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无线网络中时间相关性分析的分集多项式

Diversity Polynomials for the Analysis of Temporal Correlations in Wireless Networks

Martin Haenggi, Roxana Smarandache

摘要:

无线网络中的干扰是时间相关的,因为节点或用户位置随时间相关,并且干扰发射机是这些节点的子集。对于一个无线网络,其中(潜在的)干扰形成一个泊松点过程,并使用ALOHA信道接入,我们计算的联合成功和中断概率的n个传输在一个参考链路。结果是基于多样性多项式,它捕获的时间干扰相关性。联合中断概率用于确定分集增益(SIR趋于无穷大),结果表明,在简单的重传方案中没有分集增益,即使在所有链路上具有独立的瑞利衰落。我们还确定了两个传输的完整的联合SIR分布和本地延迟的分布,这是直到通过参考链路的重复传输成功的时间。

英文摘要:

The interference in wireless networks is temporally correlated, since the node or user locations are correlated over time and the interfering transmitters are a subset of these nodes. For a wireless network where (potential) interferers form a Poisson point process and use ALOHA for channel access, we calculate the joint success and outage probabilities of n transmissions over a reference link. The results are based on the diversity polynomial, which captures the temporal interference correlation. The joint outage probability is used to determine the diversity gain (as the SIR goes to infinity), and it turns out that there is no diversity gain in simple retransmission schemes, even with independent Rayleigh fading over all links. We also determine the complete joint SIR distribution for two transmissions and the distribution of the local delay, which is the time until a repeated transmission over the reference link succeeds.

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