In this study, we propose a non-coherent over-the-air computation (OAC) scheme to calculate the majority vote (MV) reliably in fading channels. The proposed approach relies on modulating the amplitude of the elements of complementary sequences (CSs) based on the sign of the parameters to be aggregated. Since it does not use channel state information at the nodes, it is compatible with time-varying channels. To demonstrate the efficacy of our method, we employ it in a scenario where an unmanned aerial vehicle (UAV) is guided by distributed sensors, relying on the MV computed using our proposed scheme. We show that the proposed scheme reduces the computation error rate notably with a longer sequence length in fading channels while maintaining the peak-to-mean-envelope power ratio of the transmitted orthogonal frequency division multiplexing signals to be less than or equal to 3 dB.

翻译：本研究提出一种非相干空中计算（OAC）方案，用于在衰落信道中可靠计算多数投票（MV）。该方法通过根据待聚合参数的符号调制互补序列（CSs）元素的幅值来实现。由于无需在节点处使用信道状态信息，该方案兼容时变信道。为验证方法的有效性，我们将其实用于分布式传感器引导无人机（UAV）的场景，依靠所提方案计算的MV进行导航。结果表明，在衰落信道中，所提方案通过增加序列长度可显著降低计算错误率，同时保证发射的正交频分复用信号的峰值平均包络功率比≤3 dB。