Dimensional scaling laws for continuous fluid antenna systems

Peter J. Smith; Amy S. Inwood; Michalis Matthaiou; Rajitha Senanayake

doi:10.1109/LWC.2025.3560861

Dimensional scaling laws for continuous fluid antenna systems

Peter J. Smith
, Amy S. Inwood
, Michalis Matthaiou
, Rajitha Senanayake

School of Electronics, Electrical Engineering and Computer Science

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

1 Citation (Scopus)

43 Downloads (Pure)

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
Pages (from-to)	2004 - 2008
Journal	IEEE Wireless Communications Letters
Volume	14
Issue number	7
Early online date	15 Apr 2025
DOIs	https://doi.org/10.1109/LWC.2025.3560861
Publication status	Published - Jul 2025

Publications and Copyright Policy

This work is licensed under Queen’s Research Publications and Copyright Policy.

Keywords

scaling laws
Fluid antenna systems

Access to Document

10.1109/LWC.2025.3560861Licence: Unspecified

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.
Accepted author manuscript, 491 KBLicence: CC BY

Cite this

@article{112f98269630408499e285fd8c560c7e,

title = "Dimensional scaling laws for continuous fluid antenna systems",

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.",

keywords = "scaling laws, Fluid antenna systems",

author = "Smith, \{Peter J.\} and Inwood, \{Amy S.\} and Michalis Matthaiou and Rajitha Senanayake",

year = "2025",

month = jul,

doi = "10.1109/LWC.2025.3560861",

language = "English",

volume = "14",

pages = "2004 -- 2008",

journal = "IEEE Wireless Communications Letters",

issn = "2162-2337",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "7",

}

TY - JOUR

T1 - Dimensional scaling laws for continuous fluid antenna systems

AU - Smith, Peter J.

AU - Inwood, Amy S.

AU - Matthaiou, Michalis

AU - Senanayake, Rajitha

PY - 2025/7

Y1 - 2025/7

N2 - 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.

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.

KW - scaling laws

KW - Fluid antenna systems

U2 - 10.1109/LWC.2025.3560861

DO - 10.1109/LWC.2025.3560861

M3 - Article

SN - 2162-2337

VL - 14

SP - 2004

EP - 2008

JO - IEEE Wireless Communications Letters

JF - IEEE Wireless Communications Letters

IS - 7

ER -

Dimensional scaling laws for continuous fluid antenna systems

Abstract

Publications and Copyright Policy

Keywords

Access to Document

Fingerprint

Cite this