@article{10902/36457, year = {2025}, month = {3}, url = {https://hdl.handle.net/10902/36457}, abstract = {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 and users transmit with high power, in which case the residual interference is still significant.}, organization = {This work was supported by the European Commission’s Horizon Europe, Smart Networks and Services Joint Undertaking, Research and Innovation Program under Grant 101139282, 6G-SENSES Project. The work of Ignacio Santamaria was supported in part by MICIU/AEI /10.13039/501100011033 under Grant PID2022-137099NB-C43 (MADDIE) and in part by FEDER, UE.}, publisher = {Institute of Electrical and Electronics Engineers, Inc.}, publisher = {IEEE Open Journal of Vehicular Technology, 2025, 6, 1005-1017}, title = {Interference minimization in beyond-diagonal RIS-assisted MIMO interference channels}, author = {Santamaría Caballero, Luis Ignacio and Soleymani, Mohammad and Jorswieck, Eduard Axel and Gutiérrez Terán, Jesús}, }