Joint Beamforming for Continuous Transmissive RIS-Enabled Multiuser Communications
Abstract
This paper studies continuous transmissive reconfigurable intelligent surface (CT-RIS)-enabled multiuser downlink communications, where passive beamforming is characterized by a phase function defined over the continuous aperture. We employ a distance-dependent spherical-wave model for the base station (BS)-to-CT-RIS link and introduce a finite-path model based on field-response vectors for the CT-RIS-to-user links. The resulting weighted sum rate maximization problem jointly optimizes the finite-dimensional BS precoders and the infinite-dimensional CT-RIS phase function, giving rise to a mixed finite- and infinite-dimensional non-convex optimization problem. To address this problem, we develop an alternating optimization algorithm that combines a closed-form BS precoder update with a functional phase update derived using the calculus of variations and minorization-maximization. Numerical results demonstrate that the proposed CT-RIS consistently outperforms the considered benchmarks, with the performance gains attributed to spatially continuous phase control and a larger effective receiving area.
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BibTeX
@misc{han2026joint,
title = {{Joint Beamforming for Continuous Transmissive RIS-Enabled Multiuser Communications}},
author = {Beining Han and Shumeng Zhang and Deyou Zhang and Qingchao Li and Jun Liu and Chuang Shi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07618},
eprint = {2610.07618},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07618},
}
RIS
TY - UNPB
TI - Joint Beamforming for Continuous Transmissive RIS-Enabled Multiuser Communications
AU - Beining Han
AU - Shumeng Zhang
AU - Deyou Zhang
AU - Qingchao Li
AU - Jun Liu
AU - Chuang Shi
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.07618
UR - https://arxiv.org/abs/2610.07618
AB - This paper studies continuous transmissive reconfigurable intelligent surface (CT-RIS)-enabled multiuser downlink communications, where passive beamforming is characterized by a phase function defined over the continuous aperture. We employ a distance-dependent spherical-wave model for the base station (BS)-to-CT-RIS link and introduce a finite-path model based on field-response vectors for the CT-RIS-to-user links. The resulting weighted sum rate maximization problem jointly optimizes the finite-dimensional BS precoders and the infinite-dimensional CT-RIS phase function, giving rise to a mixed finite- and infinite-dimensional non-convex optimization problem. To address this problem, we develop an alternating optimization algorithm that combines a closed-form BS precoder update with a functional phase update derived using the calculus of variations and minorization-maximization. Numerical results demonstrate that the proposed CT-RIS consistently outperforms the considered benchmarks, with the performance gains attributed to spatially continuous phase control and a larger effective receiving area.
ER -