论文标题
空中计算系统：具有总功率约束的最佳设计
Over-the-Air Computation Systems: Optimal Design with Sum-Power Constraint
论文作者
论文摘要
空中计算（AIRCOMP）利用无线多访问通道（MAC）的叠加属性和功能表示的数学工具被视为有效收集和计算无线大数据应用中大量传感器数据的有前途的技术。在AirComp上的大多数现有工作中，通常在每个传感器的峰值限制下考虑最佳系统参数设计。在本文中，我们提出了一个最佳的发射器接收器（TX-RX）参数设计问题，以最大程度地减少AirComp系统的计算均值误差（MSE），该误差（MSE）在传感器的总和约束下。我们解决了非凸面问题并获得封闭形式的解决方案。此外，我们研究了另一个问题，该问题最小化了在计算MSE的限制下传感器的总和。我们的结果表明，在这两个问题中，较差和良好的通道条件的传感器应使用的功率较少，而频道条件下的传感器应使用的功率较少。
Over-the-air computation (AirComp), which leverages the superposition property of wireless multiple-access channel (MAC) and the mathematical tool of function representation, has been considered as a promising technique for effective collection and computation of massive sensor data in wireless Big Data applications. In most of the existing work on AirComp, optimal system-parameter design is commonly considered under the peak-power constraint of each sensor. In this paper, we propose an optimal transmitter-receiver (Tx-Rx) parameter design problem to minimize the computation mean-squared error (MSE) of an AirComp system under the sum-power constraint of the sensors. We solve the non-convex problem and obtain a closed-form solution. Also, we investigate another problem that minimizes the sum power of the sensors under the constraint of computation MSE. Our results show that in both of the problems, the sensors with poor and good channel conditions should use less power than the ones with moderate channel conditions.
