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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) 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

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

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

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

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) is a new architecture for RIS where elements are interconnected to provide more wave manipulation flexibility than traditional single connected RIS, enhancing data rate and…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Bruno Sokal , Fazal-E-Asim , André L. F. de Almeida , Hongyu Li , Bruno Clerckx

Non-diagonal reconfigurable intelligent surfaces (RISs) offer enhanced wireless signal manipulation over conventional RIS by enabling the incident signal on any of its $M$ elements to be reflected from another element via an $M \times M$…

Signal Processing · Electrical Eng. & Systems 2025-06-19 Mostafa Samy , Hayder Al-Hraishawi , Abuzar B. M. Adam , Madyan Alsenwi , Symeon Chatzinotas , Björn Otteresten

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

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

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

Channel estimation is a central bottleneck in BD-RIS-assisted MIMO systems. The richer inter-element coupling that enables large performance gains also makes training and hardware control substantially harder than in diagonal RIS…

Signal Processing · Electrical Eng. & Systems 2026-03-30 Gilderlan Tavares de Araújo , Bruno Sokal , André L. F. de Almeida

This paper proposes a correlation-based three-stage channel estimation strategy with low pilot overhead for reconfigurable intelligent surface (RIS)-aided millimeter wave (mmWave) multi-user (MU) MIMO systems, in which both users and base…

Signal Processing · Electrical Eng. & Systems 2025-02-11 Liuchang Zhuo , Cunhua Pan , Hong Ren , Ruisong Weng , Shi Jin , A. Lee Swindlehurst , Jiangzhou 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 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

To reap the benefits of reconfigurable intelligent surfaces (RIS), channel state information (CSI) is generally required. However, CSI acquisition in RIS systems is challenging and often results in very large pilot overhead, especially in…

Signal Processing · Electrical Eng. & Systems 2023-09-21 Ly V. Nguyen , A. Lee Swindlehurst

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

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

Reconfigurable Intelligent Surfaces (RISs) have been recently considered as an energy-efficient solution for future wireless networks due to their fast and low-power configuration, which has increased potential in enabling massive…

Information Theory · Computer Science 2022-06-27 Li Wei , Chongwen Huang , George C. Alexandropoulos , Chau Yuen , Zhaoyang Zhang , Mérouane Debbah
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