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PreprintCC BY-NC-ND 4.0arXiv

Channel-coded Over-the-Air Computation

Abstract

AirComp enables efficient wireless data aggregation, however, its computation accuracy is vulnerable to channel impairments. As a promising solution, the role of redundancy for AirComp has been largely unexplored, leaving a critical gap in reliable AirComp design. To address this, we propose a channel-coding scheme tailored for AirComp that preserves the aggregation structure while mitigating channel impairments through bandwidth expansion. We show that the computation error decreases with the coding rate and can vanish. Both theoretical and simulation results demonstrate that the proposed scheme significantly improves computation performance.

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BibTeX
@misc{weng2026channelcoded,
  title = {{Channel-coded Over-the-Air Computation}},
  author = {Shudi Weng and Ming Xiao and Mikael Skoglund},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.02025},
  eprint = {2605.02025},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.02025},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Channel-coded Over-the-Air Computation
AU  - Shudi Weng
AU  - Ming Xiao
AU  - Mikael Skoglund
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2605.02025
UR  - https://arxiv.org/abs/2605.02025
AB  - AirComp enables efficient wireless data aggregation, however, its computation accuracy is vulnerable to channel impairments. As a promising solution, the role of redundancy for AirComp has been largely unexplored, leaving a critical gap in reliable AirComp design. To address this, we propose a channel-coding scheme tailored for AirComp that preserves the aggregation structure while mitigating channel impairments through bandwidth expansion. We show that the computation error decreases with the coding rate and can vanish. Both theoretical and simulation results demonstrate that the proposed scheme significantly improves computation performance.
ER  -