Separability, Asymptotics, and Applications of the SIR Meta Distribution in Cellular Networks
Separability, Asymptotics, and Applications of the SIR Meta Distribution in Cellular Networks
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DOI：
10.1109/twc.2020.2987563
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发表时间：
2020-04
影响因子：
10.4
通讯作者：
Ke Feng;M. Haenggi
中科院分区：
文献类型：
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作者：
Ke Feng;M. Haenggi
信号干扰比（SIR）的元分布（MD）的干扰受限的无线网络中的链路性能的特点：它评估的分数的链路，达到SIR阈值$\theta $与可靠性以上$x $。在这项工作中，我们表明，在泊松网络中，对于任何独立的衰落和幂律路径损耗的指数$\alpha $，SIR MD可以表示为$\theta ^{-2/\alpha}$和$x $的函数的乘积时，$（\theta，x）$是在所谓的"可分离区域"。我们通过模拟表明，可分离的形式作为一个很好的近似的SIR MD在Ginibre和三角网格网络时，$\θ $被选择足够大。鉴于追求超可靠的传输，我们研究的SIR MD为$x\到1 $的一般蜂窝网络与瑞利衰落的渐近性。最后，我们应用我们的研究结果来表征链路速率的分布，其中每个链路传输的速率满足给定的可靠性$x $，和渐近分布的本地延迟，定义为一个消息被成功接收所需的传输次数。
The signal-to-interference-ratio (SIR) meta distribution (MD) characterizes the link performance in interference-limited wireless networks: it evaluates the fraction of links that achieve an SIR threshold $\theta $ with a reliability above $x$ . In this work, we show that in Poisson networks, for any independent fading and power-law path loss with exponent $\alpha $ , the SIR MD can be expressed as the product of $\theta ^{-2/\alpha }$ and a function of $x$ when $(\theta,x)$ is in the so-called “separable region”. We show by simulation that the separable form serves as a good approximation of the SIR MD in Ginibre and triangular lattice networks when $\theta $ is chosen large enough. Given the quest for ultra-reliable transmission, we study the asymptotics of the SIR MD as $x\to 1$ for general cellular networks with Rayleigh fading. Finally, we apply our results to characterize the distribution of the link rate, where each link transmits with a rate satisfying a given reliability $x$ , and the asymptotic distribution of the local delay, defined as the number of transmissions needed for a message to be received successfully.