论文标题
带有多个接收器的空中计算：一种时空方法
Over-the-Air Computation with Multiple Receivers: A Space-Time Approach
论文作者
论文摘要
新兴的空中计算概念（OTA计算）显示了在大型无线网络上实现资源有效数据聚合的巨大潜力。但是，目前在该领域的研究仅限于标准的多一对一拓扑，其中多个节点将数据传输到单个接收器。在这项研究中，我们解决了将OTA计算应用于具有多个接收器的场景的问题，并提出了一种新颖的通信设计，该设计利用了关节预编码和解码在多个时间段上。为了确定最佳的预编码和解码向量，我们制定了一个优化问题，旨在最大程度地减少所需计算的平方误差，同时满足无偏置条件和功率约束。与随着时间的推移分离不同的接收器的基线方法相比，我们提出的多插槽设计可有效地节省沟通资源（例如，时间插槽）并达到较小的估计错误。
The emerging concept of Over-the-Air (OtA) computation has shown great potential for achieving resource-efficient data aggregation across large wireless networks. However, current research in this area has been limited to the standard many-to-one topology, where multiple nodes transmit data to a single receiver. In this study, we address the problem of applying OtA computation to scenarios with multiple receivers, and propose a novel communication design that exploits joint precoding and decoding over multiple time slots. To determine the optimal precoding and decoding vectors, we formulate an optimization problem that aims to minimize the mean squared error of the desired computations while satisfying the unbiasedness condition and power constraints. Our proposed multi-slot design is shown to be effective in saving communication resources (e.g., time slots) and achieving smaller estimation errors compared to the baseline approach of separating different receivers over time.
