Variable Block-Correlation Modeling and Optimization for Secrecy Analysis in Fluid Antenna Systems

Fuente: arXiv
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Auteurs principaux: Wu, Tuo, Luk, Kwai-Man, Tang, Jie, Wong, Kai-Kit, Zheng, Jianchao, Liu, Baiyang, Morales-Jimenez, David, Elkashlan, Maged, Tong, Kin-Fai, Chae, Chan-Byoung, Adachi, Fumiyuki, Karagiannidis, George K.
Format: Preprint
Publié: 2025
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author Wu, Tuo
Luk, Kwai-Man
Tang, Jie
Wong, Kai-Kit
Zheng, Jianchao
Liu, Baiyang
Morales-Jimenez, David
Elkashlan, Maged
Tong, Kin-Fai
Chae, Chan-Byoung
Adachi, Fumiyuki
Karagiannidis, George K.
author_facet Wu, Tuo
Luk, Kwai-Man
Tang, Jie
Wong, Kai-Kit
Zheng, Jianchao
Liu, Baiyang
Morales-Jimenez, David
Elkashlan, Maged
Tong, Kin-Fai
Chae, Chan-Byoung
Adachi, Fumiyuki
Karagiannidis, George K.
contents Fluid antenna systems (FAS) are emerging as a transformative enabler for sixth-generation (6G) wireless communications, providing unprecedented spatial diversity through dynamic reconfiguration of antenna ports. However, the inherent spatial correlation among ports poses significant challenges for accurate analysis. Conventional models such as Jakes are analytically intractable, while oversimplified constant-correlation models fail to capture the true behavior. In this work, we address these challenges by applying the variable block-correlation model (VBCM) -- originally proposed by Ramírez-Espinosa \textit{et al.} in 2024 -- to FAS security analysis, and by developing comprehensive optimization methods to enhance analytical accuracy. We derive new closed-form expressions for average secrecy capacity (ASC) and secrecy outage probability (SOP), demonstrating that the VBCM framework achieves simulation-aligned accuracy, with relative errors consistently below $5\%$ (compared to $10$--$15\%$ for constant-correlation models). To maximize ASC, we further design two algorithms: a grid search (GS) method and a gradient descent (GD) method. Numerical results reveal that the VBCM-based approach not only provides reliable insights into FAS security performance, but also yields substantial gains -- ASC improvements exceeding $120\%$ in high-threat scenarios and $18$--$19\%$ performance enhancements for compact antenna configurations. These findings underscore the practical value of integrating VBCM into FAS security analysis and optimization, establishing it as a powerful tool for advancing 6G communication systems.
format Preprint
id arxiv_https___arxiv_org_abs_2510_03594
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Variable Block-Correlation Modeling and Optimization for Secrecy Analysis in Fluid Antenna Systems
Wu, Tuo
Luk, Kwai-Man
Tang, Jie
Wong, Kai-Kit
Zheng, Jianchao
Liu, Baiyang
Morales-Jimenez, David
Elkashlan, Maged
Tong, Kin-Fai
Chae, Chan-Byoung
Adachi, Fumiyuki
Karagiannidis, George K.
Signal Processing
Fluid antenna systems (FAS) are emerging as a transformative enabler for sixth-generation (6G) wireless communications, providing unprecedented spatial diversity through dynamic reconfiguration of antenna ports. However, the inherent spatial correlation among ports poses significant challenges for accurate analysis. Conventional models such as Jakes are analytically intractable, while oversimplified constant-correlation models fail to capture the true behavior. In this work, we address these challenges by applying the variable block-correlation model (VBCM) -- originally proposed by Ramírez-Espinosa \textit{et al.} in 2024 -- to FAS security analysis, and by developing comprehensive optimization methods to enhance analytical accuracy. We derive new closed-form expressions for average secrecy capacity (ASC) and secrecy outage probability (SOP), demonstrating that the VBCM framework achieves simulation-aligned accuracy, with relative errors consistently below $5\%$ (compared to $10$--$15\%$ for constant-correlation models). To maximize ASC, we further design two algorithms: a grid search (GS) method and a gradient descent (GD) method. Numerical results reveal that the VBCM-based approach not only provides reliable insights into FAS security performance, but also yields substantial gains -- ASC improvements exceeding $120\%$ in high-threat scenarios and $18$--$19\%$ performance enhancements for compact antenna configurations. These findings underscore the practical value of integrating VBCM into FAS security analysis and optimization, establishing it as a powerful tool for advancing 6G communication systems.
title Variable Block-Correlation Modeling and Optimization for Secrecy Analysis in Fluid Antenna Systems
topic Signal Processing
url https://arxiv.org/abs/2510.03594