Full Duplex Relaying with Intelligent Reflecting Surface: Joint Beamforming and Phase Adjustment

In this paper, an optimization algorithm is proposed for the system, where a decode-and-forward (DaF) protocol based full duplex relay (FDR) and an intelligent reflecting surface (IRS) work together to deliver message signals from a source to a destination. The transmission is carried out in a singl...

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Main Authors: Duckdong Hwang, Janghoon Yang, Sung-Sik Nam, Hyoung-Kyu Song
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/17/3075
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author Duckdong Hwang
Janghoon Yang
Sung-Sik Nam
Hyoung-Kyu Song
author_facet Duckdong Hwang
Janghoon Yang
Sung-Sik Nam
Hyoung-Kyu Song
author_sort Duckdong Hwang
collection DOAJ
description In this paper, an optimization algorithm is proposed for the system, where a decode-and-forward (DaF) protocol based full duplex relay (FDR) and an intelligent reflecting surface (IRS) work together to deliver message signals from a source to a destination. The transmission is carried out in a single time frame due to the full duplex nature of the FDR and IRS. The joint optimization of the beamformers for the multiple antenna sets at the source along with the FDR antenna sets and the phase adjustment of the reflecting elements at the IRS is proposed. Though separate optimizations of the beamformers and the phase adjustment were available previously, the joint one is more challenging due to the increased number of signal paths and the impacts from these new paths. To accommodate conflicting requirements from different paths, the reflecting elements of the IRS are cleverly grouped into the corresponding number of sets, where the requirements are met separately through the optimizations of the phase values of the corresponding group. For the beamformer optimization, we parameterize the beamforming vectors, which results in two concave optimization problems for the source and for the FDR relay. These optimization sets are implemented in an alternating manner to reach a reasonable solution. Simulation results are provided to illustrate the impacts of the proposed algorithm in various implementation scenarios and parameter sets. These results identify the gains the proposed algorithm provides and the scenarios where these gains are expected.
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spelling doaj.art-76661a9b6219498282188666c2f6cbc12023-11-23T13:37:53ZengMDPI AGMathematics2227-73902022-08-011017307510.3390/math10173075Full Duplex Relaying with Intelligent Reflecting Surface: Joint Beamforming and Phase AdjustmentDuckdong Hwang0Janghoon Yang1Sung-Sik Nam2Hyoung-Kyu Song3Department of Information and Communication Engineering, Sejong University, Seoul 05006, KoreaDepartment of A.I. Software Engineering, Seoul Media Institute of Technology, Seoul 07590, KoreaCollege of IT Convergence, Gachon University, Sungnam 13120, KoreaDepartment of Information and Communication Engineering and Convergence Engineering for Intelligent Drone, Sejong University, Seoul 05006, KoreaIn this paper, an optimization algorithm is proposed for the system, where a decode-and-forward (DaF) protocol based full duplex relay (FDR) and an intelligent reflecting surface (IRS) work together to deliver message signals from a source to a destination. The transmission is carried out in a single time frame due to the full duplex nature of the FDR and IRS. The joint optimization of the beamformers for the multiple antenna sets at the source along with the FDR antenna sets and the phase adjustment of the reflecting elements at the IRS is proposed. Though separate optimizations of the beamformers and the phase adjustment were available previously, the joint one is more challenging due to the increased number of signal paths and the impacts from these new paths. To accommodate conflicting requirements from different paths, the reflecting elements of the IRS are cleverly grouped into the corresponding number of sets, where the requirements are met separately through the optimizations of the phase values of the corresponding group. For the beamformer optimization, we parameterize the beamforming vectors, which results in two concave optimization problems for the source and for the FDR relay. These optimization sets are implemented in an alternating manner to reach a reasonable solution. Simulation results are provided to illustrate the impacts of the proposed algorithm in various implementation scenarios and parameter sets. These results identify the gains the proposed algorithm provides and the scenarios where these gains are expected.https://www.mdpi.com/2227-7390/10/17/3075intelligent reflecting surfacephase adjustmentfull duplex relaybeamformer optimization
spellingShingle Duckdong Hwang
Janghoon Yang
Sung-Sik Nam
Hyoung-Kyu Song
Full Duplex Relaying with Intelligent Reflecting Surface: Joint Beamforming and Phase Adjustment
Mathematics
intelligent reflecting surface
phase adjustment
full duplex relay
beamformer optimization
title Full Duplex Relaying with Intelligent Reflecting Surface: Joint Beamforming and Phase Adjustment
title_full Full Duplex Relaying with Intelligent Reflecting Surface: Joint Beamforming and Phase Adjustment
title_fullStr Full Duplex Relaying with Intelligent Reflecting Surface: Joint Beamforming and Phase Adjustment
title_full_unstemmed Full Duplex Relaying with Intelligent Reflecting Surface: Joint Beamforming and Phase Adjustment
title_short Full Duplex Relaying with Intelligent Reflecting Surface: Joint Beamforming and Phase Adjustment
title_sort full duplex relaying with intelligent reflecting surface joint beamforming and phase adjustment
topic intelligent reflecting surface
phase adjustment
full duplex relay
beamformer optimization
url https://www.mdpi.com/2227-7390/10/17/3075
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AT hyoungkyusong fullduplexrelayingwithintelligentreflectingsurfacejointbeamformingandphaseadjustment