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Recently, beyond diagonal reconfigurable intelligent surface (BD-RIS) has emerged as a more flexible solution to engineer the wireless propagation channels, thanks to its non-diagonal reflecting matrix. Although the gain of the BD-RIS over…

Signal Processing · Electrical Eng. & Systems 2025-08-18 Xiaoqi Zhang , Liang Liu , Shuowen Zhang , Haijun Zhang

Beyond-diagonal reconfigurable intelligent surfaces (BD-RISs), originally in the passive form, have attracted attention due to their benefits in enhanced wave manipulating through flexible inter-element connections and element arrangements.…

Signal Processing · Electrical Eng. & Systems 2026-04-16 Fu Liu , Hongyu Li , Shanpu Shen

Beyond-diagonal reconfigurable intelligent surface (BD-RIS) has arisen as a promising technology for enhancing wireless communication systems by enabling flexible and intelligent wave manipulation. This is achieved through the…

Signal Processing · Electrical Eng. & Systems 2025-12-22 Ziang Liu , 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

In this work, we study a multi-user NTN in which a satellite serves as the primary network and a high-altitude platform station (HAPS) operates as the secondary network, acting as a cognitive radio. To reduce the cost, complexity, and power…

Signal Processing · Electrical Eng. & Systems 2025-10-07 Wali Ullah Khan , Chandan Kumar Sheemar , Eva Lagunas , Xingwang Li , Symeon Chatzinotas , Petar Popovski , Zhu Han

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) 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

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

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

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

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

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 emerged as an innovative and generalized RIS framework that provides greater flexibility in wave manipulation and enhanced coverage. In comparison to conventional RIS,…

Signal Processing · Electrical Eng. & Systems 2024-10-24 Shreya Khisa , Ali Amhaz , Mohamed Elhattab , Chadi Assi , Sanaa Sharafeddine

Reconfigurable intelligent surfaces (RISs) hold significant promise for enhancing physical layer security (PLS). However, conventional RISs are typically modeled using diagonal scattering matrices, capturing only independent reflections…

Signal Processing · Electrical Eng. & Systems 2025-11-20 Weijie Xiong , Jingran Lin , Cunhua Pan , Yilong Zeng , Qiang Li

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

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

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

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

This letter proposes a movable beyond-diagonal reconfigurable intelligent surfaces (MA-BD-RIS) design, combining inter-element connectivity and movability for channel enhancement. We study a MA-BD-RIS assisted multi-user multiple input…

Signal Processing · Electrical Eng. & Systems 2026-01-13 Shuyue Xu , Matteo Nerini , Bruno Clerckx

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