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Over-The-Air Computation in Correlated Channels

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Document pages: 18 pages

Abstract: This paper presents and analyzes a one-shot coding scheme for the gls{ota}computation over a fast-fading multiple-access wireless channel. The assumedchannel model incorporates correlations both in fading and noise over time aswell as among users. The model also allows for non-Gaussian components infading and noise, provided that the distributions are sub-Gaussian (as is thecase for a sum of Gaussian and bounded random variables), rendering theproposed scheme robust to a large class of non-Gaussian interference and noiseknown to occur in many practical scenarios. OTA computation has a hugepotential for reducing communication cost in applications such as MachineLearning (ML)-based distributed anomaly detection in large wireless sensornetworks. We illustrate this potential through extensive numerical simulations.

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