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arXiv 1602.00844cs.ITmath.ITmath.PR
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下行蜂窝网络中SIR分布尾渐近的一个充分条件

A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks

Naoto Miyoshi, Tomoyuki Shirai

摘要:

我们考虑单层下行链路蜂窝网络的空间随机模型,其中无线基站根据具有一般i.i.d.的欧氏平面上的一般平稳点过程进行部署。传播效应最近,Ganti & Haenggi(2016)考虑了相同的一般蜂窝网络模型,并且作为许多重要结果之一,导出了信号干扰比(SIR)分布的尾渐近性。然而,他们没有提到结果成立的任何条件。本文弥补了他们的结果的不足,给出了渐近结果成立的一个充分条件。我们进一步举例说明了满足这样一个充分条件的例子,并指出了相应的渐近结果的例子模型。我们还给出了一个违反充分条件的简单反例。

英文摘要:

We consider the spatial stochastic model of single-tier downlink cellular networks, where the wireless base stations are deployed according to a general stationary point process on the Euclidean plane with general i.i.d. propagation effects. Recently, Ganti & Haenggi (2016) consider the same general cellular network model and, as one of many significant results, derive the tail asymptotics of the signal-to-interference ratio (SIR) distribution. However, they do not mention any conditions under which the result holds. In this paper, we compensate their result for the lack of the condition and expose a sufficient condition for the asymptotic result to be valid. We further illustrate some examples satisfying such a sufficient condition and indicate the corresponding asymptotic results for the example models. We give also a simple counterexample violating the sufficient condition.

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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