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Gaussian Copula-Based Outage Performance Analysis of Fluid Antenna Systems: Channel Coefficient-or Envelope-Level Correlation Matrix?

Xu, Rui; Ye, Yinghui; Chu, Xiaoli; Lu, Guangyue; Ghadi, Farshad Rostami; Wong, Kai-Kit; (2025) Gaussian Copula-Based Outage Performance Analysis of Fluid Antenna Systems: Channel Coefficient-or Envelope-Level Correlation Matrix? IEEE Wireless Communications Letters 10.1109/lwc.2025.3629524. (In press). Green open access

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Abstract

Gaussian copula has been employed to evaluate the outage performance of Fluid Antenna Systems (FAS), with the covariance matrix reflecting the dependence among multivariate normal random variables (RVs). While prior studies approximate this matrix using the channel coefficient correlation matrix from Jake’s model, this work instead employs the channel envelope correlation matrix, motivated by the fact that the multivariate normal RVs are generated by transforming correlated channel envelopes. This raises an open question of whether using the coefficient-or envelope-level correlation matrix yields better accuracy in accessing FAS performance. Toward this end, this paper explores the benefits of using the envelope-level correlation matrix under fully correlated Nakagami-m fading, and develops a method for generating such fading channels for Monte Carlo simulations, which serve as a benchmark for validating the theoretical results. Simulation results confirm the effectiveness of the proposed channel modeling approach and demonstrate the superior accuracy of using the envelope-level correlation matrix, particularly in sparse port deployment and low-outage regime.

Type: Article
Title: Gaussian Copula-Based Outage Performance Analysis of Fluid Antenna Systems: Channel Coefficient-or Envelope-Level Correlation Matrix?
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/lwc.2025.3629524
Publisher version: https://doi.org/10.1109/lwc.2025.3629524
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Correlation , Covariance matrices , Fading channels , Accuracy , Monte Carlo methods , Fluids , Sparse matrices , Rayleigh channels , Probability density function , Matrix decomposition
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10217005
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