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Beyond Diagonal Reconfigurable Intelligent Surfaces (BD-RIS) has emerged as a promising evolution of RIS technology. By enabling interconnections between RIS elements, BD-RIS architectures offer greater flexibility in wave manipulation…

Signal Processing · Electrical Eng. & Systems 2025-12-08 Kangchun Zhao , Yijie Mao

Beyond diagonal reconfigurable intelligent surface (BD-RIS) is a new advance and generalization of the RIS technique. BD-RIS breaks through the isolation between RIS elements by creatively introducing inter-element connections, thereby…

Signal Processing · Electrical Eng. & Systems 2024-06-11 Hongyu Li , Shanpu Shen , Yumeng Zhang , Bruno Clerckx

We study channel estimation for a beyond diagonal reconfigurable intelligent surface (BD-RIS) aided multiple input single output system. We first describe the channel estimation strategy based on the least square (LS) method, derive the…

Signal Processing · Electrical Eng. & Systems 2024-05-27 Hongyu Li , Yumeng Zhang , Bruno Clerckx

This paper addresses the channel estimation problem for beyond diagonal reconfigurable intelligent surface (BD-RIS) from a tensor decomposition perspective. We first show that the received pilot signals can be arranged as a three-way…

Signal Processing · Electrical Eng. & Systems 2025-05-13 André L. F. de Almeida , Bruno Sokal , Hongyu Li , Bruno Clerckx

Beyond diagonal reconfigurable intelligent surface (BD-RIS) refers to a family of RIS architectures characterized by scattering matrices not limited to being diagonal and enables higher wave manipulation flexibility and large performance…

Signal Processing · Electrical Eng. & Systems 2025-04-16 Rui Wang , Shuowen Zhang , Bruno Clerckx , Liang Liu

Novel reconfigurable intelligent surface (RIS) architectures, known as beyond diagonal RISs (BD-RISs), have been proposed to enhance reflection efficiency and expand RIS capabilities. However, their passive nature, non-diagonal reflection…

Signal Processing · Electrical Eng. & Systems 2024-11-28 Nipuni Ginige , Arthur Sousa de Sena , Nurul Huda Mahmood , Nandana Rajatheva , Matti Latva-aho

The beyond-diagonal reconfigurable intelligent surface (BD-RIS) is a recent architecture in which scattering elements are interconnected to enhance the degrees of freedom for wave control, yielding performance gains over traditional…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Gilderlan Tavares de Araújo , André L. F. de Almeida , Buno Sokal , Gabor Fodor

Beyond diagonal reconfigurable intelligent surface (BD-RIS) architectures offer superior beamforming gain over conventional diagonal RISs. However, the channel estimation overhead is the main hurdle for reaping the above gain in practice.…

Signal Processing · Electrical Eng. & Systems 2026-02-25 Rui Wang , Junyuan Gao , Shuowen Zhang , Bruno Clerckx , Liang Liu

Deploying multiple beyond diagonal reconfigurable intelligent surfaces (BD-RISs) can potentially improve the communication performance thanks to inter-element connections of each BD-RIS and inter-surface cooperative beamforming gain among…

Signal Processing · Electrical Eng. & Systems 2026-02-23 Junyuan Gao , Shuowen Zhang , Liang Liu

Beyond diagonal reconfigurable intelligent surface (BD-RIS)s enhance wave manipulation through inter-element couplings but pose significant channel estimation challenges due to cascaded channels and block-Kronecker structures. This paper…

Signal Processing · Electrical Eng. & Systems 2026-03-02 Daniel Costa Araújo , André L. F. de Almeida

Beyond diagonal reconfigurable intelligent surface (BD-RIS) represents a promising architecture for advancing millimeter-wave (mmWave) communications. However, its intricate inter-element connections invalidate the conventional decoupled…

Signal Processing · Electrical Eng. & Systems 2026-05-20 Linyu Peng , Tian Qiu , Cunhua Pan , Jiangzhou Wang , Taihao Zhang , Hong Ren

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

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), with its enhanced degrees of freedom compared to conventional RIS, has demonstrated notable potential for enhancing wireless communication performance. However, a key challenge in…

Signal Processing · Electrical Eng. & Systems 2025-09-15 Yijie Liu , Weidong Mei , He Sun , Dong Wang , Peilan Wang

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

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

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

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

The parametrization of wireless channels by so-called "beyond-diagonal reconfigurable intelligent surfaces" (BD-RIS) is mathematically characterized by a matrix whose off-diagonal entries are partially or fully populated. Physically, this…

Signal Processing · Electrical Eng. & Systems 2024-12-31 Philipp del Hougne
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