eprintid: 10197479 rev_number: 8 eprint_status: archive userid: 699 dir: disk0/10/19/74/79 datestamp: 2024-09-26 10:30:18 lastmod: 2024-09-30 15:24:40 status_changed: 2024-09-26 10:30:18 type: article metadata_visibility: show sword_depositor: 699 creators_name: Ghadi, Farshad Rostami creators_name: Wong, Kai-Kit creators_name: Javier López-Martínez, F creators_name: Chae, Chan-Byoung creators_name: Tong, Kin-Fai creators_name: Zhang, Yangyang title: A Gaussian Copula Approach to the Performance Analysis of Fluid Antenna Systems ispublished: pub divisions: UCL divisions: B04 divisions: F46 keywords: Fluid antenna system, arbitrary fading, correlation, Gaussian copula, SISO, outage probability note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. abstract: This paper investigates the performance of a single-user fluid antenna system (FAS), by exploiting a class of elliptical copulas to describe the dependence structure amongst the fluid antenna positions (ports). By expressing the well-known Jakes’ model in terms of the Gaussian copula, we consider two cases: (i) the general case, i.e., any arbitrary correlated fading distribution; and (ii) the specific case, i.e., correlated Nakagami- m fading. For both scenarios, we first derive analytical expressions for the cumulative distribution function (CDF) and probability density function (PDF) of the equivalent channel in terms of multivariate normal distribution. Then we obtain the outage probability (OP) and the delay outage rate (DOR) to analyze the performance of FAS. By employing the popular rank correlation coefficients such as Spearman’s ρ and Kendall’s τ, we measure the degree of dependency in correlated arbitrary fading channels and illustrate how the Gaussian copula can be accurately connected to Jakes’ model in FAS. Our numerical results demonstrate that increasing the size of FAS provides lower OP and DOR, but the system performance saturates as the number of antenna ports increases. In addition, our results indicate that FAS provides better performance compared to conventional single-fixed antenna systems even when the size of fluid antenna is small. date: 2024 date_type: published publisher: Institute of Electrical and Electronics Engineers (IEEE) official_url: https://doi.org/10.1109/TWC.2024.3454558 oa_status: green full_text_type: other language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 2319493 doi: 10.1109/twc.2024.3454558 lyricists_name: Rostamighadi, Farshad lyricists_name: Tong, Kin-Fai lyricists_name: Wong, Kai-Kit lyricists_id: FROST43 lyricists_id: KFTON30 lyricists_id: KWONG98 actors_name: Wong, Kai-Kit actors_id: KWONG98 actors_role: owner full_text_status: public publication: IEEE Transactions on Wireless Communications issn: 1536-1276 citation: Ghadi, Farshad Rostami; Wong, Kai-Kit; Javier López-Martínez, F; Chae, Chan-Byoung; Tong, Kin-Fai; Zhang, Yangyang; (2024) A Gaussian Copula Approach to the Performance Analysis of Fluid Antenna Systems. IEEE Transactions on Wireless Communications 10.1109/twc.2024.3454558 <https://doi.org/10.1109/twc.2024.3454558>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10197479/1/Paper-TW-Mar-24-0511.pdf