Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models
Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models
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DOI：
10.19195/0208-4147.37.2.12
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发表时间：
2017-03
期刊：
影响因子：
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通讯作者：
N. Miyoshi;T. Shirai
中科院分区：
文献类型：
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作者：
N. Miyoshi;T. Shirai
空间蜂窝网络模型中信干比分布的尾部渐近性我们考虑了无线蜂窝网络的空间随机模型，其中基站BS根据Rd上的简单平稳点过程进行部署，d > 2。在这个模型中，我们研究了信号干扰比SIR分布的尾渐近性，这是无线通信中的一个关键量。在代表信号衰减的路径损耗函数在原点无界的情况下，我们在适当的充分条件下得到了SIR分布的精确尾渐近性。我们证明了基于Poisson点过程和基于行列式点过程的模型满足这个充分条件，并给出了一个反例，在有界路径损失函数的情况下，我们得到了基于Poisson点过程和基于Ginibre点过程的模型的SIR尾分布的渐近上界.对于基于Poisson的模型，也得到了一个与上界同阶的渐近下界。
TAIL ASYMPTOTICS OF SIGNAL-TO-INTERFERENCE RATI ODISTRIBUTION IN SPATIAL CELLULAR NETWORK MODELSWe consider a spatial stochastic model of wireless cellular networks, where the base stations BSs are deployed according to a simple and stationary point process on Rd, d > 2. In this model, we investigate tail asymptotics of the distribution of signal-to-interference ratio SIR, which is a key quantity in wireless communications. In the case where the pathloss function representing signal attenuation is unbounded at the origin, we derive the exact tail asymptotics of the SIR distribution under an appropriate sufficient condition. While we show that widely-used models based on a Poisson point process and on a determinantal point process meet the sufficient condition, we also give a counterexample violating it. In the case of bounded path-loss functions, we derive a logarithmically asymptotic upper bound on the SIR tail distribution for the Poisson-based and -Ginibrebased models. A logarithmically asymptotic lower bound with the same order as the upper bound is also obtained for the Poisson-based model.