标题： 大规模无线系统的设计（附详细证明） 显示英文标题

标题： On the Design of Large Scale Wireless Systems (with detailed proofs)

摘要： 本文中，我们考虑基于大规模OFDMA网络的下行链路，并研究其性能界限作为发射机数量 - 传输机 $B$、用户 $K$和资源块 $N$的函数。 这里，一个资源块是一组子载波，所有这些集合都是不相交的，并且与独立衰落信道相关联。 特别是，我们分析了预期可实现的总和速率作为上述变量的函数，并推导出了一般空间几何、截断路径损耗模型以及各种衰落模型的新型上下界。 我们确立了密集和扩展网络的相关扩展定律，并提出了监管机构的设计指南，以确保各种服务质量约束，并同时最大化服务提供商的收入。 此后，我们开发了一种分布式资源分配方案，该方案实现了与所提出的上界相同的总和速率扩展，适用于广泛的 $K, B, N$。 在此基础上，我们将低功率点对点网络与高功率单发射机网络进行了比较，并给出了额外的设计原则。 最后，我们还展示了如何将我们的结果扩展到每个 $B$ 发射机都有 $M (>1)$ 相邻天线的场景。 显示英文摘要

摘要： In this paper, we consider the downlink of large OFDMA-based networks and study their performance bounds as a function of the number of - transmitters $B$, users $K$, and resource-blocks $N$. Here, a resource block is a collection of subcarriers such that all such collections, that are disjoint have associated independently fading channels. In particular, we analyze the expected achievable sum-rate as a function of above variables and derive novel upper and lower bounds for a general spatial geometry of transmitters, a truncated path-loss model, and a variety of fading models. We establish the associated scaling laws for dense and extended networks, and propose design guidelines for the regulators to guarantee various QoS constraints and, at the same time, maximize revenue for the service providers. Thereafter, we develop a distributed resource allocation scheme that achieves the same sum-rate scaling as that of the proposed upper bound for a wide range of $K, B, N$. Based on it, we compare low-powered peer-to-peer networks to high-powered single-transmitter networks and give an additional design principle. Finally, we also show how our results can be extended to the scenario where each of the $B$ transmitters have $M (>1)$ co-located antennas.