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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

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 surfaces (BD-RIS) have emerged as a transformative technology for enhancing wireless communication by intelligently manipulating the propagation environment. Its interconnected elements offer…

Emerging Technologies · Computer Science 2025-03-17 Wali Ullah Khan , Chandan Kumar Sheemar , Eva Lagunas , Symeon Chatzinotas

Beyond-diagonal reconfigurable intelligent surfaces (BD-RISs) are emerging as a transformative technology in wireless communications, enabling enhanced performance and quality of service (QoS) of wireless systems in harsh urban environments…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Marko Fidanovski , Iván Alexander Morales Sandoval , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu , Emil Björnson

Beyond Diagonal Reconfigurable Intelligent Surfaces (BD-RIS) represent a groundbreaking innovation in sixth-generation (6G) wireless networks, enabling unprecedented control over wireless propagation environments compared to conventional…

A beyond-diagonal reconfigurable intelligent surface (BD-RIS) is an innovative type of reconfigurable intelligent surface (RIS) that has recently been proposed and is considered a revolutionary advancement in wave manipulation. Unlike the…

Social and Information Networks · Computer Science 2026-01-05 Abd Ullah Khan , Uman Khalid , Trung Q. Duong , Hyundong Shin

Benefiting from its capability to generalize existing reconfigurable intelligent surface (RIS) architectures and provide additional design flexibility via interactions between RIS elements, beyond-diagonal RIS (BD-RIS) has attracted…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Xiaohua Zhou , Tianyu Fang , Yijie Mao

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

A hybrid transmitting and reflecting beyond diagonal reconfigurable intelligent surface (BD-RIS) design is proposed. Operating in the same aperture, frequency band and polarization, the proposed BD-RIS features independent beam steering…

Signal Processing · Electrical Eng. & Systems 2025-04-15 Zhaoyang Ming , Shanpu Shen , Junhui Rao , Zan Li , Jichen Zhang , Chi Yuk Chiu , Ross Murch

This work studies the wideband modeling and beamforming design of beyond diagonal reconfigurable intelligent surface (BD-RIS), which generalizes and goes beyond conventional RIS with diagonal phase shift matrices to achieve enhanced channel…

Information Theory · Computer Science 2024-03-20 Hongyu Li , Matteo Nerini , Shanpu Shen , Bruno Clerckx

This work investigates the modeling and optimization of beyond diagonal reconfigurable intelligent surface (BD-RIS), which generalizes conventional RIS with diagonal phase shift matrices and provides additional flexibility for manipulating…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Hongyu Li , Matteo Nerini , Shanpu Shen , Bruno Clerckx

Reconfigurable intelligent surface (RIS) has been envisioned as a key technology in future wireless communication networks to enable smart radio environment. To further enhance the passive beamforming capability of RIS, beyond diagonal…

Signal Processing · Electrical Eng. & Systems 2025-09-22 Ziang Liu , Hongyu Li , Bruno Clerckx

Integrated sensing and communication (ISAC) has been receiving a notable interest as an energy- and spectrum-efficient enabler for simultaneous communication and sensing. Notably, reconfigurable intelligent surfaces (RIS) is among the key…

Information Theory · Computer Science 2026-04-07 Elmehdi Illi , Marwa Qaraqe

Beyond diagonal intelligent reflecting surface (BD-IRS) is a new promising IRS architecture for which the reflection matrix is not limited to the diagonal structure as for conventional IRS. In this paper, we study a BD-IRS aided uplink…

Information Theory · Computer Science 2025-06-25 Shuo Zheng , Shuowen Zhang

Reconfigurable Intelligent Surfaces (RIS) have emerged as a transformative technology in wireless communications, offering unprecedented control over signal propagation. This study focuses on passive beyond diagonal reconfigurable…

Signal Processing · Electrical Eng. & Systems 2025-12-10 Ainna Yue Moreno-Locubiche , Josep Vidal

Reconfigurable intelligent surfaces (RISs) can improve the capacity of wireless communication links by passively beamforming the impinging signals in desired directions. This feature has been demonstrated both analytically and…

Signal Processing · Electrical Eng. & Systems 2025-01-23 Emil Björnson , Özlem Tuğfe Demir

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

Beyond diagonal reconfigurable intelligent surfaces (BD-RIS) have emerged as a promising technology for 6G wireless networks, offering more advanced control over electromagnetic wave propagation than conventional diagonal RIS. This paper…

Signal Processing · Electrical Eng. & Systems 2025-10-01 Kexin Chen , Yijie Mao , Wonjae Shin

Reconfigurable intelligent surface (RIS) has emerged as a promising technology in both terrestrial and non-terrestrial networks (NTNs) due to its ability to manipulate wireless environments for better connectivity. Significant studies have…

Emerging Technologies · Computer Science 2024-09-24 Wali Ullah Khan , Asad Mahmood , Muhammad Ali Jamshed , Eva Lagunas , Manzoor Ahmed , Symeon Chatzinotas

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