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.
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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.
| Type: | Article |
|---|---|
| Title: | A Gaussian Copula Approach to the Performance Analysis of Fluid Antenna Systems |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/twc.2024.3454558 |
| Publisher version: | https://doi.org/10.1109/TWC.2024.3454558 |
| 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: | Fluid antenna system, arbitrary fading, correlation, Gaussian copula, SISO, outage probability |
| 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/10197479 |
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