Dimensional Scaling Laws for Continuous Fluid Antenna Systems

Fuente: arXiv
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Autores principales: Smith, Peter J., Inwood, Amy S., Matthaiou, Michail, Senanayake, Rajitha
Formato: Preprint
Publicado: 2026
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author Smith, Peter J.
Inwood, Amy S.
Matthaiou, Michail
Senanayake, Rajitha
author_facet Smith, Peter J.
Inwood, Amy S.
Matthaiou, Michail
Senanayake, Rajitha
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_11738
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Dimensional Scaling Laws for Continuous Fluid Antenna Systems
Smith, Peter J.
Inwood, Amy S.
Matthaiou, Michail
Senanayake, Rajitha
Signal Processing
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.
title Dimensional Scaling Laws for Continuous Fluid Antenna Systems
topic Signal Processing
url https://arxiv.org/abs/2603.11738