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Duality between the Power Minimization and Max-Min SINR Balancing Symbol-Level Precoding

Yang, J; Li, A; Liao, X; Masouros, C; (2023) Duality between the Power Minimization and Max-Min SINR Balancing Symbol-Level Precoding. In: 2023 IEEE 97th Vehicular Technology Conference (VTC2023-Spring). IEEE: Florence, Italy. Green open access

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Abstract

This paper reveals the latent relation inherent in two typical problems in constructive interference (CI)-based symbol-level precoding (SLP). One is the power minimization (PM) problem subject to instantaneous signal-to-interference-plus-noise ratio (SINR) constraints, and the other is the weighted max-min SINR balancing (SB) problem with the symbol-level transmit power budget. In particular, we establish an explicit duality between the PM-SLP and SB-SLP problems, where we prove that one of the two problems can be uniquely mapped to the other. The proposed duality not only provides insights into the intrinsic structure of the problems and solutions but also facilitates obtaining the solution to the SB-SLP given the solution to the PM-SLP without the need for one-dimension search, and vice versa. We further propose a closed-form power scaling algorithm to solve the SB-SLP via PM-SLP, by which the separability of the PM-SLP can be leveraged to solve the two problems simultaneously. Numerical results demonstrate our derivations on the duality as well as the efficiency of the proposed power scaling algorithm.

Type: Proceedings paper
Title: Duality between the Power Minimization and Max-Min SINR Balancing Symbol-Level Precoding
Event: 2023 IEEE 97th Vehicular Technology Conference (VTC2023-Spring)
Dates: 20 Jun 2023 - 23 Jun 2023
ISBN-13: 9798350311143
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/VTC2023-Spring57618.2023.10201182
Publisher version: http://dx.doi.org/10.1109/vtc2023-spring57618.2023...
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: MU-MISO, constructive interference, symbollevel precoding, power minimization, SINR balancing, separability, duality, inverse problem
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10185498
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