Fair Beam Allocations through Reconfigurable Intelligent Surfaces

Fuente: arXiv
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Autores principales: Xiong, Rujing, Yin, Ke, Mi, Tiebin, Lu, Jialong, Wan, Kai, Qiu, Robert Caiming
Formato: Preprint
Publicado: 2023
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author Xiong, Rujing
Yin, Ke
Mi, Tiebin
Lu, Jialong
Wan, Kai
Qiu, Robert Caiming
author_facet Xiong, Rujing
Yin, Ke
Mi, Tiebin
Lu, Jialong
Wan, Kai
Qiu, Robert Caiming
contents A fair beam allocation framework through reconfigurable intelligent surfaces (RISs) is proposed, incorporating the Max-min criterion. This framework focuses on designing explicit beamforming functionalities through optimization. Firstly, realistic models, grounded in geometrical optics, are introduced to characterize the input/output behaviors of RISs, effectively bridging the gap between the requirements on explicit beamforming operations and their practical implementations. Then, a highly efficient algorithm is developed for Max-min optimizations involving quadratic forms. Leveraging the Moreau-Yosida approximation, we successfully reformulate the original problem and propose iterations to attain the optimal solution. A comprehensive analysis of the algorithm's convergence is provided. Importantly, this approach exhibits excellent extensibility, making it readily applicable to address a broader class of Max-min optimization problems. Finally, numerical and prototype experiments are conducted to validate the effectiveness of the framework. With the proposed beam allocation framework and algorithm, we clarify that several crucial redistribution functionalities of RISs, such as explicit beam-splitting, fair beam allocation, and wide-beam generation, can be effectively implemented. These explicit beamforming functionalities have not been thoroughly examined previously.
format Preprint
id arxiv_https___arxiv_org_abs_2310_15911
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Fair Beam Allocations through Reconfigurable Intelligent Surfaces
Xiong, Rujing
Yin, Ke
Mi, Tiebin
Lu, Jialong
Wan, Kai
Qiu, Robert Caiming
Systems and Control
A fair beam allocation framework through reconfigurable intelligent surfaces (RISs) is proposed, incorporating the Max-min criterion. This framework focuses on designing explicit beamforming functionalities through optimization. Firstly, realistic models, grounded in geometrical optics, are introduced to characterize the input/output behaviors of RISs, effectively bridging the gap between the requirements on explicit beamforming operations and their practical implementations. Then, a highly efficient algorithm is developed for Max-min optimizations involving quadratic forms. Leveraging the Moreau-Yosida approximation, we successfully reformulate the original problem and propose iterations to attain the optimal solution. A comprehensive analysis of the algorithm's convergence is provided. Importantly, this approach exhibits excellent extensibility, making it readily applicable to address a broader class of Max-min optimization problems. Finally, numerical and prototype experiments are conducted to validate the effectiveness of the framework. With the proposed beam allocation framework and algorithm, we clarify that several crucial redistribution functionalities of RISs, such as explicit beam-splitting, fair beam allocation, and wide-beam generation, can be effectively implemented. These explicit beamforming functionalities have not been thoroughly examined previously.
title Fair Beam Allocations through Reconfigurable Intelligent Surfaces
topic Systems and Control
url https://arxiv.org/abs/2310.15911