Copula-Based Performance Analysis for Fluid Antenna Systems Under Arbitrary Fading Channels

Copula-Based Performance Analysis for Fluid Antenna Systems Under Arbitrary Fading Channels
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任意衰落信道下流体天线系统基于 Copula 的性能分析

DOI:
10.1109/lcomm.2023.3316359
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发表时间:
2023
期刊:
IEEE Communications Letters
影响因子:
--
通讯作者:
Rostami Ghadi F
Rostami Ghadi F
中科院分区:
--
文献类型:
--
作者:
Rostami Ghadi F

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在这封信中,我们研究了单用户流体天线系统在任意衰落分布下的性能,其中端口上的衰落信道系数是相关的。我们采用Copula理论来模拟衰落系数之间的依赖结构。具体地说,我们首先在最一般的情况下,即任意选择衰落分布和Copula时,推导出中断概率的精确闭合表达式。然后,对于一个重要的具体情况,我们利用流行的阿基米德联结,即Frank、Clayton和Gumbel,分析了相关Nakagami衰落信道下的中断概率性能。结果证实,空间相关依赖结构是决定其性能的关键因素,这是通过对Copula的选择来自然捕获的。
In this letter, we study the performance of a single-user fluid antenna system (FAS) under arbitrary fading distributions, in which the fading channel coefficients over the ports are correlated. We adopt copula theory to model the structure of dependency between fading coefficients. Specifically, we first derive an exact closed-from expression for the outage probability in the most general case, i.e., for any arbitrary choice of fading distribution and copula. Afterwards, for an important specific case, we analyze the performance of the outage probability under correlated Nakagami-fading channels by exploiting popular Archimedean copulas, namely, Frank, Clayton, and Gumbel. The results confirm that the spatial correlation dependency structure for the FAS is a key factor to determine its performance, which is natively captured through the choice of copula.
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