Robust and Efficient Average Consensus with Non-Coherent Over-the-Air Aggregation

Fuente: arXiv
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Autori principali: Deng, Yuhang, Chen, Zheng, Larsson, Erik G.
Natura: Preprint
Pubblicazione: 2025
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author Deng, Yuhang
Chen, Zheng
Larsson, Erik G.
author_facet Deng, Yuhang
Chen, Zheng
Larsson, Erik G.
contents Non-coherent over-the-air (OTA) computation has garnered increasing attention for its advantages in facilitating information aggregation among distributed agents in resource-constrained networks without requiring precise channel estimation. A promising application scenario of this method is distributed average consensus in wireless multi-agent systems. However, in such scenario, non-coherent interference from concurrent OTA transmissions can introduce bias in the consensus value. To address this issue, we develop a robust distributed average consensus algorithm by formulating the consensus problem as a distributed optimization problem. Using decentralized projected gradient descent (D-PGD), our proposed algorithm can achieve unbiased mean square average consensus even in the presence of non-coherent interference and noise. Additionally, we implement transmit power control and receive scaling mechanisms to further accelerate convergence. Simulation results demonstrate that our method can significantly enhance the convergence speed of the D-PGD algorithm for OTA average consensus without compromising accuracy.
format Preprint
id arxiv_https___arxiv_org_abs_2504_05729
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Robust and Efficient Average Consensus with Non-Coherent Over-the-Air Aggregation
Deng, Yuhang
Chen, Zheng
Larsson, Erik G.
Information Theory
Systems and Control
Signal Processing
Non-coherent over-the-air (OTA) computation has garnered increasing attention for its advantages in facilitating information aggregation among distributed agents in resource-constrained networks without requiring precise channel estimation. A promising application scenario of this method is distributed average consensus in wireless multi-agent systems. However, in such scenario, non-coherent interference from concurrent OTA transmissions can introduce bias in the consensus value. To address this issue, we develop a robust distributed average consensus algorithm by formulating the consensus problem as a distributed optimization problem. Using decentralized projected gradient descent (D-PGD), our proposed algorithm can achieve unbiased mean square average consensus even in the presence of non-coherent interference and noise. Additionally, we implement transmit power control and receive scaling mechanisms to further accelerate convergence. Simulation results demonstrate that our method can significantly enhance the convergence speed of the D-PGD algorithm for OTA average consensus without compromising accuracy.
title Robust and Efficient Average Consensus with Non-Coherent Over-the-Air Aggregation
topic Information Theory
Systems and Control
Signal Processing
url https://arxiv.org/abs/2504.05729