Joint Beamforming and Aerial IRS Positioning Design for IRS-Assisted MISO System With Multiple Access Points

Intelligent reflecting surface (IRS) is a promising concept for 6G wireless communications that allows tuning of the wireless environments to increase spectral and energy efficiency. Many optimization techniques have been proposed in literature to deal with the joint passive and active beamforming d...

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Main Authors: Tang Chao, Carrson C. Fung, Zi-En Ni, Mykola Servetnyk
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Open Journal of the Communications Society
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10373864/
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author Tang Chao
Carrson C. Fung
Zi-En Ni
Mykola Servetnyk
author_facet Tang Chao
Carrson C. Fung
Zi-En Ni
Mykola Servetnyk
author_sort Tang Chao
collection DOAJ
description Intelligent reflecting surface (IRS) is a promising concept for 6G wireless communications that allows tuning of the wireless environments to increase spectral and energy efficiency. Many optimization techniques have been proposed in literature to deal with the joint passive and active beamforming design problem, but without any optimality guarantees for the multiple access points (APs), multiple IRSs, and multiple users scenario. Moreover, the multiple access problem is also considered with the beamformer design which has not been addressed in literature, except in the context of joint transmission, which is not considered herein. To further maximize ground based and support non-terrestrial communications, the joint aerial IRS (AIRS) positioning and beamformer design problem is also considered. In the first part of the paper, an algorithm considering predefined AP-user pairing is proposed, which allows beamforming vectors to be designed distributively at each access point by using Generalized Bender Decomposition (GBD), consequently resulting in certain level of optimality. The problem can be transformed via mathematical manipulation and semidefinite relaxation (SDR) into a convex problem and solve using semidefinite programming (SDP). Another algorithm was developed to solve for optimal AP-user pairing at the same time by introducing additional binary variables, making the problem into a mixed-integer SDP (MISDP) problem, which is solved using GBD-MISDP solver, albeit with higher computational and time complexity than the GBD for the original problem. A heuristic pairing algorithm, called GBD-iterative link removal (GBD-ILR), is proposed to combat this problem and it is shown to achieve solution close to that of the GBD-MISDP method. A joint AIRS positioning and beamformer design problem is solved in the second part by using the proposed successive convex approximation-alternating direction of method of multipliers-GBD (SAG) method. Simulation results show the effectiveness of all proposed algorithms for joint beamformer design, joint beamformer design with AP-user pairing in a multiple access points system, and the joint AIRS positioning and beamformer design. In addition to simulation results, an analysis of communication overhead incurred due to use of the IRS is also given.
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spelling doaj.art-3c62d486ca6748c8878836a16df0f1362024-01-26T00:02:02ZengIEEEIEEE Open Journal of the Communications Society2644-125X2024-01-01561263210.1109/OJCOMS.2023.334689510373864Joint Beamforming and Aerial IRS Positioning Design for IRS-Assisted MISO System With Multiple Access PointsTang Chao0https://orcid.org/0000-0002-7522-416XCarrson C. Fung1https://orcid.org/0000-0002-3981-0970Zi-En Ni2https://orcid.org/0009-0009-6305-6224Mykola Servetnyk3https://orcid.org/0000-0002-9636-3097Department of Communications and Information Engineering, School of Engineering, Tokyo Institute of Technology, Tokyo, JapanInstitute of Electronics, National Yang Ming Chiao Tung University, Hsinchu, TaiwanInstitute of Electronics, National Yang Ming Chiao Tung University, Hsinchu, TaiwanInstitute of Electronics, National Yang Ming Chiao Tung University, Hsinchu, TaiwanIntelligent reflecting surface (IRS) is a promising concept for 6G wireless communications that allows tuning of the wireless environments to increase spectral and energy efficiency. Many optimization techniques have been proposed in literature to deal with the joint passive and active beamforming design problem, but without any optimality guarantees for the multiple access points (APs), multiple IRSs, and multiple users scenario. Moreover, the multiple access problem is also considered with the beamformer design which has not been addressed in literature, except in the context of joint transmission, which is not considered herein. To further maximize ground based and support non-terrestrial communications, the joint aerial IRS (AIRS) positioning and beamformer design problem is also considered. In the first part of the paper, an algorithm considering predefined AP-user pairing is proposed, which allows beamforming vectors to be designed distributively at each access point by using Generalized Bender Decomposition (GBD), consequently resulting in certain level of optimality. The problem can be transformed via mathematical manipulation and semidefinite relaxation (SDR) into a convex problem and solve using semidefinite programming (SDP). Another algorithm was developed to solve for optimal AP-user pairing at the same time by introducing additional binary variables, making the problem into a mixed-integer SDP (MISDP) problem, which is solved using GBD-MISDP solver, albeit with higher computational and time complexity than the GBD for the original problem. A heuristic pairing algorithm, called GBD-iterative link removal (GBD-ILR), is proposed to combat this problem and it is shown to achieve solution close to that of the GBD-MISDP method. A joint AIRS positioning and beamformer design problem is solved in the second part by using the proposed successive convex approximation-alternating direction of method of multipliers-GBD (SAG) method. Simulation results show the effectiveness of all proposed algorithms for joint beamformer design, joint beamformer design with AP-user pairing in a multiple access points system, and the joint AIRS positioning and beamformer design. In addition to simulation results, an analysis of communication overhead incurred due to use of the IRS is also given.https://ieeexplore.ieee.org/document/10373864/Intelligent reflecting surface (IRS)aerial IRS (AIRS)beamforming designgeneralized benders decompositionmixed integer programmingsemidefinite relaxation
spellingShingle Tang Chao
Carrson C. Fung
Zi-En Ni
Mykola Servetnyk
Joint Beamforming and Aerial IRS Positioning Design for IRS-Assisted MISO System With Multiple Access Points
IEEE Open Journal of the Communications Society
Intelligent reflecting surface (IRS)
aerial IRS (AIRS)
beamforming design
generalized benders decomposition
mixed integer programming
semidefinite relaxation
title Joint Beamforming and Aerial IRS Positioning Design for IRS-Assisted MISO System With Multiple Access Points
title_full Joint Beamforming and Aerial IRS Positioning Design for IRS-Assisted MISO System With Multiple Access Points
title_fullStr Joint Beamforming and Aerial IRS Positioning Design for IRS-Assisted MISO System With Multiple Access Points
title_full_unstemmed Joint Beamforming and Aerial IRS Positioning Design for IRS-Assisted MISO System With Multiple Access Points
title_short Joint Beamforming and Aerial IRS Positioning Design for IRS-Assisted MISO System With Multiple Access Points
title_sort joint beamforming and aerial irs positioning design for irs assisted miso system with multiple access points
topic Intelligent reflecting surface (IRS)
aerial IRS (AIRS)
beamforming design
generalized benders decomposition
mixed integer programming
semidefinite relaxation
url https://ieeexplore.ieee.org/document/10373864/
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