Realization of a Fully Connected Neural Layer Over-the-Air through Multi-hop Amplify-and-Forward Relays

Tolga Girici; Meng Hua; Deniz Gündüz

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arXiv · 2603.20489

Realization of a Fully Connected Neural Layer Over-the-Air through Multi-hop Amplify-and-Forward Relays

Tolga Girici·Meng Hua·Deniz Gündüz

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Abstract

We study the problem of implementing a fully-connected layer of a neural network using wireless over-the-air computing. We assume a multi hop system with a multi-antenna transmitter and receiver, along with a number of multi-hop amplify-and-forward relay devices in between. We formulate an optimization problem that optimizes the transmitter precoder, receiver combiner and amplify-and-forward gains, subject to relay device power constraint and transmitter power constraint. We propose an alternating optimization framework that optimizes the imitation accuracy. Simulation study results reveal that multi-hop relaying achieves an almost perfect classification accuracy when used in a neural network.

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BibTeX RIS

Tolga Girici, Meng Hua, Deniz Gündüz. 2026-03-20. Realization of a Fully Connected Neural Layer Over-the-Air through Multi-hop Amplify-and-Forward Relays. https://arxiv.org/abs/2603.20489

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