Dimensional scaling laws for continuous Fluid antenna systems

Peter Smith; Amy Inwood; Michalis Matthaiou; Rajitha Senanayake

doi:10.1109/LWC.2025.3560861

Dimensional scaling laws for continuous Fluid antenna systems

Peter Smith, Amy Inwood, Michalis Matthaiou, Rajitha Senanayake

School of Electronics, Electrical Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

Consider the signal-to-noise ratio (SNR) of a continuous fluid antenna system (CFAS) operating over a Rayleigh fading channel. In this paper, we extend traditional system assumptions and consider spatially coherent isotropic correlation, continuous positioning of the antenna rather than discrete, and the use of multi-dimensional space (1D, 2D and 3D). By focusing on the upper tail of the received SNR distribution (the high SNR probability (HSP)), we are able to derive asymptotically exact closed-form formulas for the HSP. Finally, these results lead to scaling laws which describe the increase in the HSP as we employ more dimensions and the optimal CFAS dimensions.

Original language	English
Journal	IEEE Wireless Communications Letters
DOIs	https://doi.org/10.1109/LWC.2025.3560861
Publication status	Accepted - 12 Apr 2025

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Keywords

scaling laws
Fluid antenna systems

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Dimensional scaling laws for continuous Fluid antenna systems
Copyright 2025 the authors. This is an accepted manuscript distributed under a Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium, provided the author and source are cited.
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Cite this

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AU - Matthaiou, Michalis

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AB - Consider the signal-to-noise ratio (SNR) of a continuous fluid antenna system (CFAS) operating over a Rayleigh fading channel. In this paper, we extend traditional system assumptions and consider spatially coherent isotropic correlation, continuous positioning of the antenna rather than discrete, and the use of multi-dimensional space (1D, 2D and 3D). By focusing on the upper tail of the received SNR distribution (the high SNR probability (HSP)), we are able to derive asymptotically exact closed-form formulas for the HSP. Finally, these results lead to scaling laws which describe the increase in the HSP as we employ more dimensions and the optimal CFAS dimensions.

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M3 - Article

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JO - IEEE Wireless Communications Letters

JF - IEEE Wireless Communications Letters

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Dimensional scaling laws for continuous Fluid antenna systems

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