Interference Minimization in Beyond-Diagonal RIS-assisted MIMO Interference Channels

Fuente: arXiv
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Autores principales: Santamaria, Ignacio, Soleymani, Mohammad, Jorswieck, Eduard, Gutierrez, Jesus
Formato: Preprint
Publicado: 2025
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author Santamaria, Ignacio
Soleymani, Mohammad
Jorswieck, Eduard
Gutierrez, Jesus
author_facet Santamaria, Ignacio
Soleymani, Mohammad
Jorswieck, Eduard
Gutierrez, Jesus
contents This paper proposes a two-stage approach for passive and active beamforming in multiple-input multiple-output (MIMO) interference channels (ICs) assisted by a beyond-diagonal reconfigurable intelligent surface (BD-RIS). In the first stage, the passive BD-RIS is designed to minimize the aggregate interference power at all receivers, a cost function called interference leakage (IL). To this end, we propose an optimization algorithm in the manifold of unitary matrices and a suboptimal but computationally efficient solution. In the second stage, users' active precoders are designed under different criteria such as minimizing the IL (min-IL), maximizing the signal-to-interference-plus-noise ratio (max-SINR), or maximizing the sum rate (max-SR). The residual interference not cancelled by the BD-RIS is treated as noise by the precoders. Our simulation results show that the max-SR precoders provide more than 20% sum rate improvement compared to other designs, especially when the BD-RIS has a moderate number of elements ($M<20$) and users transmit with high power, in which case the residual interference is still significant.
format Preprint
id arxiv_https___arxiv_org_abs_2503_19547
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Interference Minimization in Beyond-Diagonal RIS-assisted MIMO Interference Channels
Santamaria, Ignacio
Soleymani, Mohammad
Jorswieck, Eduard
Gutierrez, Jesus
Information Theory
This paper proposes a two-stage approach for passive and active beamforming in multiple-input multiple-output (MIMO) interference channels (ICs) assisted by a beyond-diagonal reconfigurable intelligent surface (BD-RIS). In the first stage, the passive BD-RIS is designed to minimize the aggregate interference power at all receivers, a cost function called interference leakage (IL). To this end, we propose an optimization algorithm in the manifold of unitary matrices and a suboptimal but computationally efficient solution. In the second stage, users' active precoders are designed under different criteria such as minimizing the IL (min-IL), maximizing the signal-to-interference-plus-noise ratio (max-SINR), or maximizing the sum rate (max-SR). The residual interference not cancelled by the BD-RIS is treated as noise by the precoders. Our simulation results show that the max-SR precoders provide more than 20% sum rate improvement compared to other designs, especially when the BD-RIS has a moderate number of elements ($M<20$) and users transmit with high power, in which case the residual interference is still significant.
title Interference Minimization in Beyond-Diagonal RIS-assisted MIMO Interference Channels
topic Information Theory
url https://arxiv.org/abs/2503.19547