发表机构
University of Quebec in Montreal (UQAM); Concordia University（蒙特利尔大学; 康考迪亚大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对AirComp与NOMA集成后计算精度与QoS耦合的问题，提出捏合天线辅助上行链路，通过联合优化收发器、天线位置与SIC顺序，开发迭代算法提升计算精度并保持NOMA可行性。
AI 中文摘要
将空中计算（AirComp）与非正交多址接入（NOMA）相集成，可实现并发数据聚合与信息传输，但会使计算精度与通信服务质量（QoS）紧密耦合。本文研究一种捏合天线（PA）辅助的上行链路，其中灵活的捏合天线布置可提供额外的空间自由度来管理这种耦合。我们在满足NOMA QoS、发射功率及PA部署约束的前提下，通过联合设计AirComp收发器、PA位置与串行干扰消除（SIC）顺序，最小化AirComp的均方误差（MSE）。利用上行链路SIC的递归结构，我们建立了精确的NOMA可行性条件并推导了最优SIC排序规则。这些结构结果消除了NOMA功率变量与解码顺序的组合搜索，将原问题简化为连续优化问题。随后，我们开发了一种迭代算法，该算法包含最优AirComp发射系数与接收缩放的更新，以及适用于PA布置的保持可行性的 majorization 方案。所提算法在生成单调非增的计算MSE序列的同时，保持了NOMA可行性。数值结果表明，在NOMA QoS要求下，联合优化AirComp收发器与PA位置可提升计算精度。
英文摘要
Integrating over-the-air computation (AirComp) with non-orthogonal multiple access (NOMA) enables concurrent data aggregation and information transmission, but tightly couples computation accuracy with communication quality of service (QoS). This paper investigates a pinching-antenna-assisted uplink, where flexible pinching-antenna (PA) placement provides additional spatial degrees of freedom to manage this coupling. We minimize the AirComp mean-squared error (MSE) subject to NOMA QoS, transmit-power, and PA deployment constraints by jointly designing the AirComp transceiver, PA positions, and successive interference cancellation (SIC) order. Exploiting the recursive structure of uplink SIC, we establish an exact NOMA feasibility condition and derive an optimal SIC-ordering rule. These structural results eliminate the NOMA power variables and the combinatorial search over decoding orders, reducing the original problem to a continuous optimization problem. We then develop an iterative algorithm with optimal AirComp transmit-coefficient and receive-scaling updates and a feasibility-preserving majorization scheme for PA placement. The proposed algorithm preserves NOMA feasibility while generating a monotonically nonincreasing computation-MSE sequence. Numerical results demonstrate the computation-accuracy gains of jointly optimizing the AirComp transceiver and PA positions under NOMA QoS requirements.
