{"title":"Selective channel inversion protocol for over-the-air computation","authors":"Hyunwoo Jung , Jung-Bin Kim","doi":"10.1016/j.icte.2025.11.016","DOIUrl":null,"url":null,"abstract":"<div><div>This paper introduces a novel selective channel inversion (SCI) protocol for over-the-air computation (AirComp) networks. The proposed SCI protocol reduces the overhead associated with channel state information (CSI) by broadcasting a predefined channel threshold. Furthermore, it improves mean squared error (MSE) performance by permitting transmission only from sensor nodes with favorable channel conditions. For an arbitrary channel distribution, an exact closed-form expression for the MSE is derived, from which an asymptotic expression for a large number of sensor nodes is obtained. Numerical results demonstrate that the asymptotic expression closely matches the exact result, even for a relatively small number of sensor nodes. An optimization problem is formulated to determine the optimal channel threshold under Nakagami-<span><math><mi>m</mi></math></span> fading channels, and it is analytically proven that the problem is convex. An algorithm for dynamically determining the threshold under arbitrary channel distributions is also presented. Numerical results demonstrate that SCI AirComp outperforms CI AirComp in scenarios with low signal-to-noise ratio (SNR), high fading severity, and a large number of sensor nodes.</div><div>2018 The Korean Institute of Communications and Information Sciences. Publishing Services by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (<span><span>http://creativecommons.org/licenses/by-nc-nd/4.0/</span><svg><path></path></svg></span>).</div></div>","PeriodicalId":48526,"journal":{"name":"ICT Express","volume":"12 1","pages":"Pages 6-12"},"PeriodicalIF":4.2000,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ICT Express","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405959525001870","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/11/28 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper introduces a novel selective channel inversion (SCI) protocol for over-the-air computation (AirComp) networks. The proposed SCI protocol reduces the overhead associated with channel state information (CSI) by broadcasting a predefined channel threshold. Furthermore, it improves mean squared error (MSE) performance by permitting transmission only from sensor nodes with favorable channel conditions. For an arbitrary channel distribution, an exact closed-form expression for the MSE is derived, from which an asymptotic expression for a large number of sensor nodes is obtained. Numerical results demonstrate that the asymptotic expression closely matches the exact result, even for a relatively small number of sensor nodes. An optimization problem is formulated to determine the optimal channel threshold under Nakagami- fading channels, and it is analytically proven that the problem is convex. An algorithm for dynamically determining the threshold under arbitrary channel distributions is also presented. Numerical results demonstrate that SCI AirComp outperforms CI AirComp in scenarios with low signal-to-noise ratio (SNR), high fading severity, and a large number of sensor nodes.
2018 The Korean Institute of Communications and Information Sciences. Publishing Services by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
期刊介绍:
The ICT Express journal published by the Korean Institute of Communications and Information Sciences (KICS) is an international, peer-reviewed research publication covering all aspects of information and communication technology. The journal aims to publish research that helps advance the theoretical and practical understanding of ICT convergence, platform technologies, communication networks, and device technologies. The technology advancement in information and communication technology (ICT) sector enables portable devices to be always connected while supporting high data rate, resulting in the recent popularity of smartphones that have a considerable impact in economic and social development.