A rank-one optimization framework and its applications to transmit beamforming
Article
Le, T., Ng, D. and Yang, X. 2024. A rank-one optimization framework and its applications to transmit beamforming. IEEE Transactions on Vehicular Technology. 73 (1), pp. 620-636. https://doi.org/10.1109/TVT.2023.3303623
Type | Article |
---|---|
Title | A rank-one optimization framework and its applications to transmit beamforming |
Authors | Le, T., Ng, D. and Yang, X. |
Abstract | This paper proposes an elegant optimization framework consisting of a mix of linear-matrix-inequality and second-order-cone constraints. The proposed framework generalizes the semidefinite relaxation (SDR) enabled solution to the typical transmit beamforming problems presented in the form of quadratically constrained quadratic programs (QCQPs) in the literature. It is proved that the optimization problems subsumed under the framework always admit a rank-one optimal solution when they are feasible and their optimal solutions are not trivial. This finding indicates that the relaxation is tight as the optimal solution of the original beamforming QCQP can be straightforwardly obtained from that of the SDR counterpart without any loss of optimality. Four representative examples of transmit beamforming, i.e., transmit beamforming with perfect channel state information (CSI), transmit beamforming with imperfect CSI, chance-constraint approach for imperfect CSI, and reconfigurable-intelligent-surface (RIS) aided beamforming, are shown to demonstrate how the proposed optimization framework can be realized in deriving the SDR counterparts for different beamforming designs. |
Keywords | Quadratically constrained quadratic program; semidefinite relaxation; transmit beamforming; reconfigurable intelligent surfaces; Array signal processing; Optimization; Linear matrix inequalities; Simultaneous wireless information and power transfer; Receivers; Probabilistic logic ; Transforms |
Sustainable Development Goals | 9 Industry, innovation and infrastructure |
Middlesex University Theme | Creativity, Culture & Enterprise |
Publisher | IEEE |
Journal | IEEE Transactions on Vehicular Technology |
ISSN | 0018-9545 |
Electronic | 1939-9359 |
Publication dates | |
Online | 09 Aug 2023 |
17 Jan 2024 | |
Publication process dates | |
Submitted | 20 Nov 2022 |
Accepted | 05 Aug 2023 |
Deposited | 10 Aug 2023 |
Output status | Published |
Accepted author manuscript | File Access Level Open |
Copyright Statement | © 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. |
Digital Object Identifier (DOI) | https://doi.org/10.1109/TVT.2023.3303623 |
Web of Science identifier | WOS:001166813500096 |
Related Output | |
Is new version of | A rank-one optimization framework and its applications to transmit beamforming |
Language | English |
https://repository.mdx.ac.uk/item/964w9
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