Statistical Beamforming for Multi-Set Space–Time Shift-Keying-Based Full-Duplex Millimeter Wave Communications

Abdulah Jeza Aljohani, Muhammad Moinuddin (), Ubaid M. Al-Saggaf, Mohammed El-Hajjar and Soon Xin Ng
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Abdulah Jeza Aljohani: Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Muhammad Moinuddin: Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Ubaid M. Al-Saggaf: Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Mohammed El-Hajjar: Next Generation Wireless Group, School of Electronics and Computer Science, University of Southampton, Southampton SO171BJ, UK
Soon Xin Ng: Next Generation Wireless Group, School of Electronics and Computer Science, University of Southampton, Southampton SO171BJ, UK

Mathematics, 2023, vol. 11, issue 2, 1-15

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.

Keywords: full-duplex; multi-set space–time shift keying; millimeter wave; outage probability; statistical beamforming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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