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Carrier to interference ratio, rate and coverage analysis in shotgun cellular systems over composite fading channels

机译：复合衰落信道上shot弹枪蜂窝系统中的载波干扰比，速率和覆盖范围分析

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摘要

Wireless communication performance in shotgun cellular system (SCS: wireless communication system with randomly placed base stations) is analysed. Aiming at this analysis, (i) the carrier to interference ratio (CIR), as an important measure in a cellular network, is considered in the downlink (path-loss, shadowing and multi-path) fading channel. Since direct calculating of the distribution of CIR is complicated, a related mathematical equation is determined through which the probability density function (PDF) of CIR can be calculated. And then, as a special case, the tail probability of CIR is obtained. (ii) A normal approximation for inverse of CIR is proposed which is applicable for calculating a tractable PDF for the downlink CIR. The analytically calculated and the approximate PDFs of CIR are compared with numerical PDFs. (iii) The distribution of the downlink rate and a lower bound for the average rate; the analytical expression for coverage of a user in an SCS based on its received CIR, and an average value for coverage are calculated. (iv) Simulation results show that the closed form and approximate PDFs over different models are close to numerical ones.
机译：分析了shot弹枪蜂窝系统（SCS：具有随机放置的基站的无线通信系统）中的无线通信性能。针对该分析，在下行链路（路径损耗，阴影和多径）衰落信道中考虑（i）作为蜂窝网络中的重要度量的载波干扰比（CIR）。由于直接计算CIR的分布很复杂，因此需要确定一个相关的数学方程式，通过该方程式可以计算CIR的概率密度函数（PDF）。然后，作为特殊情况，获得CIR的尾部概率。 （ii）提出了CIR逆的正态近似，适用于计算下行CIR的可处理PDF。将CIR的解析计算和近似PDF与数值PDF进行比较。 iii下行链路速率的分布和平均速率的下限；根据接收到的CIR，计算SCS中用户覆盖范围的解析表达式，并计算覆盖范围的平均值。 （iv）仿真结果表明，不同模型的闭合形式和近似PDF接近于数值形式。

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