arXiv:2602.12426eess.SPcs.LG2026-02

提出抗干扰无线计算方案,让分布式优化更稳定高效

Interference-Robust Non-Coherent Over-the-Air Computation for Decentralized Optimization

  • 各节点同步旋转坐标系,将干扰转为零均值分布
  • 在干扰环境下实现无偏共识估计,收敛性不受影响
  • 适合大规模无线分布式系统,如边缘智能协同

非相干无线空中计算(NCOTA)通过利用无线信道的能量叠加特性,实现低延迟、高带宽效率的分布式优化,无需信道状态信息和调度,可高效扩展至密集网络。然而,该方法易受外部干扰影响,导致共识估计偏差,恶化优化算法收敛性。本文提出一种新型抗干扰NCOTA(IR-NCOTA)方案:所有节点协同进行坐标系随机旋转,并发送伪随机导频信号,使外部干扰在旋转后的参考系下呈现零均值圆对称分布,从而保证共识估计无偏,维持优化算法的收敛性。在分类任务上的数值结果表明,相较于基线NCOTA,在存在外部干扰时IR-NCOTA性能显著更优。

原文摘要 · Abstract (English)

Non-coherent over-the-air (NCOTA) computation enables low-latency and bandwidth-efficient decentralized optimization by exploiting the average energy superposition property of wireless channels. It has recently been proposed as a powerful tool for executing consensus-based optimization algorithms in fully decentralized systems. A key advantage of NCOTA is that it enables unbiased consensus estimation without channel state information at either transmitters or receivers, requires no transmission scheduling, and scales efficiently to dense network deployments. However, NCOTA is inherently susceptible to external interference, which can bias the consensus estimate and deteriorate the convergence of the underlying decentralized optimization algorithm. In this paper, we propose a novel interference-robust (IR-)NCOTA scheme. The core idea is to apply a coordinated random rotation of the frame of reference across all nodes, and transmit a pseudo-random pilot signal, allowing to transform external interference into a circularly symmetric distribution with zero mean relative to the rotated frame. This ensures that the consensus estimates remain unbiased, preserving the convergence guarantees of the underlying optimization algorithm. Through numerical results on a classification task, it is demonstrated that IR-NCOTA exhibits superior performance over the baseline NCOTA algorithm in the presence of external interference.

无线计算分布式优化抗干扰

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