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Statistical beamforming for multi-set space–time shift-keying-based full-duplex millimeter wave communications

Statistical beamforming for multi-set space–time shift-keying-based full-duplex millimeter wave communications
Statistical beamforming for multi-set space–time shift-keying-based full-duplex millimeter wave communications
Full-duplex (FD) communication has been shown to provide an increased achievable rate, while millimeter wave (mmWave) communications benefit from a large available bandwidth that further improves the achievable rate. On the other hand, the concept of multi-set space-time shift keying (MS-STSK) has been proposed to provide a flexible design trade-off between throughput and performance. Hence, in this work, we consider the design of an FD-aided MS-STSK transceiver for millimeter wave communications. However, a major challenge is that channel reciprocity is not valid in mmWave communications due to shorter channel coherence time. Thus, the uplink (UL) pilots cannot be utilized to estimate the downlink (DL) channel. To overcome this challenge, we propose a beamforming technique based on channel statistics without assuming channel reciprocity. For this purpose, a closed-form expression for the outage probability of the system is derived by employing the characterization of the ratio of the Indefinite Quadratic Form (IQF). The derived analytical expression is then utilized to design optimum beamforming weights using the Sequential Quadratic Programming (SQP)-based heuristic method. Moreover, an Iterative Statistical Method (ISM) of joint transmit and receive beamforming algorithm is also developed by utilizing Principle Eigenvector (PE) and Generalized Rayleigh Quotient (G-RQ) optimization techniques. Finally, we verify our simulation results with the theoretical analysis
full-duplex, millimeter wave, multi-set space–time shift keying, outage probability, statistical beamforming
Aljohani, Abdulah Jeza R
17a5b60f-634e-49c0-a4bc-6c6d40a25532
Moinuddin, Muhammad
2a3e7869-c5c4-4cf1-bc0b-a509aa42e6ba
El-Hajjar, Mohammed
3a829028-a427-4123-b885-2bab81a44b6f
Al-Saggaf, Ubaid M.
b2f81802-f91c-4b51-9372-9f481571070b
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Aljohani, Abdulah Jeza R
17a5b60f-634e-49c0-a4bc-6c6d40a25532
Moinuddin, Muhammad
2a3e7869-c5c4-4cf1-bc0b-a509aa42e6ba
El-Hajjar, Mohammed
3a829028-a427-4123-b885-2bab81a44b6f
Al-Saggaf, Ubaid M.
b2f81802-f91c-4b51-9372-9f481571070b
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c

Aljohani, Abdulah Jeza R, Moinuddin, Muhammad, El-Hajjar, Mohammed, Al-Saggaf, Ubaid M. and Ng, Soon Xin (2023) Statistical beamforming for multi-set space–time shift-keying-based full-duplex millimeter wave communications. Mathematics, 11 (2), [433]. (doi:10.3390/math11020433).

Record type: Article

Abstract

Full-duplex (FD) communication has been shown to provide an increased achievable rate, while millimeter wave (mmWave) communications benefit from a large available bandwidth that further improves the achievable rate. On the other hand, the concept of multi-set space-time shift keying (MS-STSK) has been proposed to provide a flexible design trade-off between throughput and performance. Hence, in this work, we consider the design of an FD-aided MS-STSK transceiver for millimeter wave communications. However, a major challenge is that channel reciprocity is not valid in mmWave communications due to shorter channel coherence time. Thus, the uplink (UL) pilots cannot be utilized to estimate the downlink (DL) channel. To overcome this challenge, we propose a beamforming technique based on channel statistics without assuming channel reciprocity. For this purpose, a closed-form expression for the outage probability of the system is derived by employing the characterization of the ratio of the Indefinite Quadratic Form (IQF). The derived analytical expression is then utilized to design optimum beamforming weights using the Sequential Quadratic Programming (SQP)-based heuristic method. Moreover, an Iterative Statistical Method (ISM) of joint transmit and receive beamforming algorithm is also developed by utilizing Principle Eigenvector (PE) and Generalized Rayleigh Quotient (G-RQ) optimization techniques. Finally, we verify our simulation results with the theoretical analysis

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Accepted/In Press date: 3 January 2023
e-pub ahead of print date: 13 January 2023
Published date: 13 January 2023
Additional Information: Funding Information: This research work was funded by Institutional Fund Projects under grant No.: (IFPH: 117-135-2020). Therefore, the authors gratefully acknowledge technical and financial support from the Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia. Publisher Copyright: © 2023 by the authors.
Keywords: full-duplex, millimeter wave, multi-set space–time shift keying, outage probability, statistical beamforming

Identifiers

Local EPrints ID: 475487
URI: http://eprints.soton.ac.uk/id/eprint/475487
PURE UUID: 2d1cd045-f682-4bd5-a64e-75b5f40d09c2
ORCID for Mohammed El-Hajjar: ORCID iD orcid.org/0000-0002-7987-1401
ORCID for Soon Xin Ng: ORCID iD orcid.org/0000-0002-0930-7194

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Date deposited: 20 Mar 2023 17:41
Last modified: 06 Jun 2024 01:50

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Contributors

Author: Abdulah Jeza R Aljohani
Author: Muhammad Moinuddin
Author: Mohammed El-Hajjar ORCID iD
Author: Ubaid M. Al-Saggaf
Author: Soon Xin Ng ORCID iD

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