English

Over-the-Air Computation with Spatial-and-Temporal Correlated Signals

Information Theory 2024-10-28 v1 Systems and Control Signal Processing Systems and Control math.IT

Abstract

Over-the-air computation (AirComp) leveraging the superposition property of wireless multiple-access channel (MAC), is a promising technique for effective data collection and computation of large-scale wireless sensor measurements in Internet of Things applications. Most existing work on AirComp only considered computation of spatial-and-temporal independent sensor signals, though in practice different sensor measurement signals are usually correlated. In this letter, we propose an AirComp system with spatial-and-temporal correlated sensor signals, and formulate the optimal AirComp policy design problem for achieving the minimum computation mean-squared error (MSE). We develop the optimal AirComp policy with the minimum computation MSE in each time step by utilizing the current and the previously received signals. We also propose and optimize a low-complexity AirComp policy in closed form with the performance approaching to the optimal policy.

Keywords

Cite

@article{arxiv.2102.00664,
  title  = {Over-the-Air Computation with Spatial-and-Temporal Correlated Signals},
  author = {Wanchun Liu and Xin Zang and Branka Vucetic and Yonghui Li},
  journal= {arXiv preprint arXiv:2102.00664},
  year   = {2024}
}

Comments

This work has been submitted to the IEEE for possible publication

R2 v1 2026-06-23T22:42:44.446Z