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Beyond-diagonal reconfigurable intelligent surface (BD-RIS), which enables advanced wave control through interconnection of RIS elements, are gaining growing recognition as a promising technology for 6G and beyond. However, the enhanced…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Xiaohua Zhou , Tianyu Fang , Yijie Mao , Bruno Clerckx

Beyond-diagonal reconfigurable intelligent surface (BD-RIS) has garnered significant research interest recently due to its ability to generalize existing reconfigurable intelligent surface (RIS) architectures and provide enhanced…

Information Theory · Computer Science 2024-11-28 Xiaohua Zhou , Tianyu Fang , Yijie Mao

Reconfigurable intelligent surfaces (RISs) enable programmable control of the wireless propagation environment and are key enablers for future networks. Beyond-diagonal RIS (BD-RIS) architectures enhance conventional RIS by interconnecting…

Information Theory · Computer Science 2026-05-04 Matteo Nerini , Zheyu Wu , Shanpu Shen , Bruno Clerckx

Reconfigurable intelligent surfaces (RIS) is regarded as a key enabler of wave/analog-domain beamforming, processing, and computing in future wireless communication systems. Recently, Beyond Diagonal RIS (BD-RIS) has been proposed as a…

Information Theory · Computer Science 2025-09-11 Zheyu Wu , Bruno Clerckx

Beyond-diagonal reconfigurable intelligent surfaces (BD-RISs) are an emerging RIS 2.0 technology for future wireless communication. However, BD-RISs are primarily passive without active amplification, suffering from severe multiplicative…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Shanpu Shen , Hongyu Li , Matteo Nerini , Qingqing Wu , Bruno Clerckx

Beyond diagonal reconfigurable intelligent surface (BD-RIS) extends conventional RIS through novel architectures, such as group-connected RIS, with scattering matrix not restricted to being diagonal. However, it remains unexplored how to…

Information Theory · Computer Science 2024-05-08 Matteo Nerini , Shanpu Shen , Bruno Clerckx

Reconfigurable intelligent surfaces (RISs) are envisioned as a promising technology for future wireless communications. With various hardware realizations, RISs can work under different modes (reflective/transmissive/hybrid) or have…

Information Theory · Computer Science 2022-08-08 Hongyu Li , Shanpu Shen , Bruno Clerckx

Reconfigurable intelligent surface (RIS) is a promising technology for future wireless communication systems. Conventional RIS is constrained to a diagonal scattering matrix, which limits its flexibility. Recently, beyond-diagonal RIS…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Zheyu Wu , Matteo Nerini , Bruno Clerckx

Written by its inventors, this first tutorial on Beyond-Diagonal Reconfigurable Intelligent Surfaces (BD-RISs) provides the readers with the basics and fundamental tools necessary to appreciate, understand, and contribute to this emerging…

Signal Processing · Electrical Eng. & Systems 2025-12-23 Hongyu Li , Matteo Nerini , Shanpu Shen , Bruno Clerckx

Reconfigurable intelligent surface (RIS) has been envisioned as a promising technique to enable and enhance future wireless communications due to its potential to engineer the wireless channels in a cost-effective manner. Extensive research…

Signal Processing · Electrical Eng. & Systems 2023-10-11 Hongyu Li , Shanpu Shen , Matteo Nerini , Bruno Clerckx

Reconfigurable intelligent surfaces (RISs) allow controlling the propagation environment in wireless networks by tuning multiple reflecting elements. RISs have been traditionally realized through single connected architectures,…

Information Theory · Computer Science 2023-06-16 Matteo Nerini , Shanpu Shen , Bruno Clerckx

Beyond-diagonal reconfigurable intelligent surfaces (BD-RISs) have recently gained attention as an enhancement to conventional RISs. BD-RISs allow optimizing not only the phase, but also the amplitude responses of their discrete surface…

Signal Processing · Electrical Eng. & Systems 2025-08-27 Atso Iivanainen , Robin Rajamäki , Visa Koivunen

Beyond diagonal reconfigurable intelligent surface (BD-RIS) is a novel branch of RIS which breaks through the limitation of traditional RIS with diagonal scattering matrices. However, the existing research focuses on BD-RIS with fixed…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Hongyu Li , Shanpu Shen , Bruno Clerckx

Beyond diagonal reconfigurable intelligent surface (BD-RIS) has emerged as an advancement and generalization of the conventional diagonal RIS (D-RIS) by introducing tunable interconnections between RIS elements, enabling smarter wave…

Signal Processing · Electrical Eng. & Systems 2025-11-10 Yiyang Peng , Hongyu Li , Zheyu Wu , Bruno Clerckx

Beyond diagonal reconfigurable intelligent surfaces (BD-RIS) is a new advance in RIS techniques that introduces reconfigurable inter-element connections to generate scattering matrices not limited to being diagonal. BD-RIS has been recently…

Signal Processing · Electrical Eng. & Systems 2025-05-08 Hongyu Li , Bruno Clerckx

This work studies the modeling and optimization of beyond diagonal reconfigurable intelligent surface (BD-RIS) aided wireless communication systems in the presence of mutual coupling among the RIS elements. Specifically, we first derive the…

Signal Processing · Electrical Eng. & Systems 2024-05-27 Hongyu Li , Shanpu Shen , Matteo Nerini , Marco Di Renzo , Bruno Clerckx

Beyond-diagonal reconfigurable intelligent surface (BD-RIS) has recently been introduced to enable advanced control over electromagnetic waves to further increase the benefits of traditional RIS in enhancing signal quality and improving…

Information Theory · Computer Science 2025-10-20 Binggui Zhou , Bruno Clerckx

Reconfigurable intelligent surface (RIS) is a key technology to control the communication environment in future wireless networks. Recently, beyond diagonal RIS (BD-RIS) emerged as a generalization of RIS achieving larger coverage through…

Information Theory · Computer Science 2025-02-28 Matteo Nerini , Golsa Ghiaasi , Bruno Clerckx

Reconfigurable intelligent surfaces (RISs) are envisioned as a promising technology for future wireless communication systems due to their ability to control the propagation environment in a hardware- and energy-efficient way. Recently, the…

Signal Processing · Electrical Eng. & Systems 2024-12-23 Zheyu Wu , Bruno Clerckx

The reconfigurable intelligent surface (RIS) has attracted considerable attention of both academia and industry in recent years, given its capacity to dynamically manipulate the reflection of incident electromagnetic waves. Although the…

Signal Processing · Electrical Eng. & Systems 2026-04-09 Pedro H. C. de Souza , Luciano Mendes
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