A fine-grained analysis of the cache-enabled networks is crucial for system design. In this paper, we focus on the meta distribution of the signal-to-interference ratio for the cache-enabled networks where the locations of the base stations are modeled as a Poisson point process. With the application of the random caching and the random discontinuous transmission schemes, we derive the moments of the conditional successful transmission probability, the exact meta distribution and its beta approximation by utilizing stochastic geometry. The closed-form expressions of the mean and variance of the local delay (i.e., the jitter) are also derived. We then consider the maximization of the mean successful transmission probability and the minimization of the average system transmission delay by jointly optimizing the caching probability and the BS active probability. Finally, the numerical results demonstrate the superiority of the proposed optimization schemes over the existing caching strategies and reveal the impacts of the key network parameters on the cache-enabled networks in terms of successful transmission probability, successful transmission probability variance, meta distribution, mean local delay and jitter.

中文翻译：

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具有随机不连续传输的启用缓存的无线网络的 SIR 元分布：分析与优化


对启用缓存的网络进行细粒度分析对于系统设计至关重要。在本文中，我们重点关注启用缓存的网络的信号干扰比的元分布，其中基站的位置被建模为泊松点过程。通过应用随机缓存和随机不连续传输方案，我们利用随机几何推导了条件成功传输概率的矩、精确的元分布及其β近似。还导出了本地延迟（即抖动）的均值和方差的封闭式表达式。然后，我们通过联合优化缓存概率和BS活动概率来考虑平均成功传输概率的最大化和平均系统传输延迟的最小化。最后，数值结果证明了所提出的优化方案相对于现有缓存策略的优越性，并揭示了关键网络参数对启用缓存的网络在成功传输概率、成功传输概率方差、元分布、平均局部性方面的影响。延迟和抖动。