Copula-Based Analysis of Fluid Antenna-Assisted Over-the-Air Computation
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914528701186048 |
|---|---|
| author | Pakravan, Saeid Ahmadzadeh, Mohsen Ajib, Wessam Hodtani, Ghosheh Abed Zeng, Ming |
| author_facet | Pakravan, Saeid Ahmadzadeh, Mohsen Ajib, Wessam Hodtani, Ghosheh Abed Zeng, Ming |
| contents | This letter studies an uplink over-the-air computation (AirComp) framework in which multiple user equipments are equipped with fluid-antenna (FA) arrays and operate over spatially correlated fading channels. By explicitly modeling channel dependence using the Gumbel copula, closed-form analytical expressions are derived for the cumulative distribution function (CDF) of the mean-squared error (MSE) of the aggregated function. The proposed analysis provides a quantitative performance characterization of AirComp under spatial correlation and provides analytical insights into the role of FA-assisted transmission in correlated wireless environments. Numerical results validate the derived expressions and show that FA deployment can substantially reduce the MSE compared with conventional fixed-antenna systems, although the achievable gain decreases as spatial correlation becomes stronger. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03280 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Copula-Based Analysis of Fluid Antenna-Assisted Over-the-Air Computation Pakravan, Saeid Ahmadzadeh, Mohsen Ajib, Wessam Hodtani, Ghosheh Abed Zeng, Ming Signal Processing This letter studies an uplink over-the-air computation (AirComp) framework in which multiple user equipments are equipped with fluid-antenna (FA) arrays and operate over spatially correlated fading channels. By explicitly modeling channel dependence using the Gumbel copula, closed-form analytical expressions are derived for the cumulative distribution function (CDF) of the mean-squared error (MSE) of the aggregated function. The proposed analysis provides a quantitative performance characterization of AirComp under spatial correlation and provides analytical insights into the role of FA-assisted transmission in correlated wireless environments. Numerical results validate the derived expressions and show that FA deployment can substantially reduce the MSE compared with conventional fixed-antenna systems, although the achievable gain decreases as spatial correlation becomes stronger. |
| title | Copula-Based Analysis of Fluid Antenna-Assisted Over-the-Air Computation |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2605.03280 |