IRS-Assisted Physical Layer Network Coding Over Two-Way Relay Fading Channels

This article investigates the performance of intelligent reflective surfaces (IRS)-aided physical layer network coding (PNC) in two-way relaying channels (TWRC). Specifically, IRS is used to eliminate carrier phase offset (CPO) at the relay node. To this end, the IRS reflectors' phase shifts ar...

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Published in:	IEEE transactions on vehicular technology Vol. 71; no. 8; pp. 8424 - 8440
Main Authors:	AlaaEldin, Mahmoud, Alsusa, Emad, Seddik, Karim G.
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.08.2022 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithms Antenna feeds Belief propagation Channels Coding Downlink Effectiveness intelligent reflective surfaces Manifolds Massive MIMO Nodes Optimization physical layer network coding Precoding Quadrature amplitude modulation Receiving antennas Reflectors Relay Relaying repeat accumulate codes sum-product algorithm Symbols Transmitting antennas two-way relaying channels
ISSN:	0018-9545, 1939-9359
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Abstract	This article investigates the performance of intelligent reflective surfaces (IRS)-aided physical layer network coding (PNC) in two-way relaying channels (TWRC). Specifically, IRS is used to eliminate carrier phase offset (CPO) at the relay node. To this end, the IRS reflectors' phase shifts are optimized to align the received signals from two source nodes at the relay. This facilitates using a simple mapping function at the relay to map the superimposed signal to a network-coded signal. Two scenarios are considered, the first of which assumes that each source node is served by a separate IRS panel, while the second scenario considers the more challenging case where only one IRS panel is available for the two source nodes. In the latter case, the IRS panel is seen by both source nodes and its phase shifts are optimized to mitigate the CPO problem while maximizing the received signal amplitude at the relay. This optimization problem is formulated and solved over the complex circle manifold. Finally, we extend the IRS-assisted PNC system to include channel coding and higher modulation orders, for which a repeat accumulate (RA) channel-coded IRS-aided PNC scheme is proposed for general quadrature amplitude modulation (QAM) signals. A belief propagation (BP) based algorithm is designed to decode the network-coded sequences over a q-Ring using modular arithmetic. Our simulation results validate the theoretical error expressions derived for the two-IRS scenario as well as the efficacy of the proposed manifold optimization approach for the one-IRS scenario. The results also confirm the efficacy of the designed channel-coded IRS-aided PNC using high QAM modulation orders.
AbstractList	This article investigates the performance of intelligent reflective surfaces (IRS)-aided physical layer network coding (PNC) in two-way relaying channels (TWRC). Specifically, IRS is used to eliminate carrier phase offset (CPO) at the relay node. To this end, the IRS reflectors’ phase shifts are optimized to align the received signals from two source nodes at the relay. This facilitates using a simple mapping function at the relay to map the superimposed signal to a network-coded signal. Two scenarios are considered, the first of which assumes that each source node is served by a separate IRS panel, while the second scenario considers the more challenging case where only one IRS panel is available for the two source nodes. In the latter case, the IRS panel is seen by both source nodes and its phase shifts are optimized to mitigate the CPO problem while maximizing the received signal amplitude at the relay. This optimization problem is formulated and solved over the complex circle manifold. Finally, we extend the IRS-assisted PNC system to include channel coding and higher modulation orders, for which a repeat accumulate (RA) channel-coded IRS-aided PNC scheme is proposed for general quadrature amplitude modulation (QAM) signals. A belief propagation (BP) based algorithm is designed to decode the network-coded sequences over a q-Ring using modular arithmetic. Our simulation results validate the theoretical error expressions derived for the two-IRS scenario as well as the efficacy of the proposed manifold optimization approach for the one-IRS scenario. The results also confirm the efficacy of the designed channel-coded IRS-aided PNC using high QAM modulation orders.
Author	AlaaEldin, Mahmoud Alsusa, Emad Seddik, Karim G.
Author_xml	– sequence: 1 givenname: Mahmoud orcidid: 0000-0001-8180-1907 surname: AlaaEldin fullname: AlaaEldin, Mahmoud email: mahmoud.alaaeldin@manchester.ac.uk organization: Electrical, Electronic Engineering Department, University of Manchester, Manchester, U.K – sequence: 2 givenname: Emad orcidid: 0000-0002-7724-2636 surname: Alsusa fullname: Alsusa, Emad email: e.alsusa@manchester.ac.uk organization: Electrical, Electronic Engineering Department, University of Manchester, Manchester, U.K – sequence: 3 givenname: Karim G. orcidid: 0000-0002-2279-592X surname: Seddik fullname: Seddik, Karim G. email: kseddik@aucegypt.edu organization: Department of Electronics, Communications Engineering, American University in Cairo, Cairo, Egypt
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SubjectTerms	Algorithms Antenna feeds Belief propagation Channels Coding Downlink Effectiveness intelligent reflective surfaces Manifolds Massive MIMO Nodes Optimization physical layer network coding Precoding Quadrature amplitude modulation Receiving antennas Reflectors Relay Relaying repeat accumulate codes sum-product algorithm Symbols Transmitting antennas two-way relaying channels
Title	IRS-Assisted Physical Layer Network Coding Over Two-Way Relay Fading Channels
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