无人机辅助通信系统的遍历容量和最优层数研究
On Ergodic Capacity and Optimal Number of Tiers in UAV-Assisted Communication Systems
摘要：
在本文中，我们考虑无人机（UAV）辅助通信系统中，一些无人机被用作多层中继之间的用户和基站收发台（BTS）。我们将用户和BTS之间的无线传播信道建模为瑞利乘积信道，其是一系列独立同分布（i.i.d.）瑞利多输入多输出（MIMO）信道。我们把一个特别感兴趣的优化层的数量在这样的无人机辅助系统的无人机的总数量，以最大限度地提高遍历能力。为了实现这一目标，在第一部分中，我们推导出一个下限的封闭形式的遍历能力，这是渐近紧的信号噪声比（SNR）的增加。在第二部分中，我们分析了最佳的无人机层数，并提出了一个低复杂度的过程，显着降低了搜索的大小，并产生接近最佳的性能。此外，瑞利乘积信道的遍历容量的渐近性质，以及最优解的层数进行了广泛的分析。
英文摘要：
In this paper, we consider unmanned aerial vehicle (UAV) assisted communication systems where a number of UAVs are utilized as multi-tier relays between a number of users and a base-transceiver station (BTS). We model the wireless propagation channel between the users and the BTS as a Rayleigh product channel, which is a product of a series of independent and identically distributed (i.i.d.) Rayleigh multi-input multi-output (MIMO) channels. We put a special interested in optimizing the number of tiers in such UAV-assisted systems for a given total number of UAVs to maximize the ergodic capacity. To achieve this goal, in a first part we derive a lower-bound in closed-form for the ergodic capacity which is shown to be asymptotically tight as signal-to-noise ratio (SNR) increases. With the derived bound, in a second part we analyze the optimal number of UAV-tiers, and propose a low-complexity procedure that significantly reduces the search-size and yields near-optimal performance. Moreover, asymptotic properties both for the ergodic capacity of Rayleigh product channel, and the optimal solutions on number of tiers are extensively analyzed.
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