A KKT conditions based transceiver optimization framework for RIS-aided multiuser MIMO networks
A KKT conditions based transceiver optimization framework for RIS-aided multiuser MIMO networks
In many core problems of signal processing and wireless communications, Karush-Kuhn-Tucker (KKT) conditions based optimization plays a fundamental role. Hence we investigate the KKT conditions in the context of optimizing positive semidefinite matrix variables under nonconvex rank constraints. More explicitly, based on the properties of KKT conditions, we optimize a reconfigurable intelligent surface (RIS) aided multi-user multi-input multi-output (MU-MIMO) network. Specifically, we consider the capacity maximization and sum mean square error (MSE) minimization problems of both the RIS-aided MU-MIMO uplink (UL) and downlink (DL) under multiple weighted power constraints and rank constraints. As for the RIS-aided MU-MIMO UL, the optimal structures of the signal covariance matrices are derived based on the KKT conditions. Furthermore, an efficient procedure is designed for solving the capacity maximization and sum mean square error (MSE) minimization problems. Then the UL-DL dualities are exploited for solving the capacity maximization and MSE minimization problems of the RIS-aided MU-MIMO DL based on the results of the UL optimization. Hence in the proposed framework, the phase shifting matrix of the RIS is jointly optimized with the signal covariance matrices for both the UL and DL. Our simulation results demonstrate the performance advantages of the proposed framework.
Covariance matrices, Duality, Eigenvalues and eigenfunctions, KKT conditions, MIMO communication, MU-MIMO, Minimization, Optimization, Programming, RIS, Standards, covariance optimization, matrix variables
2602-2617
Xing, Chengwen
2477f24d-3711-47b1-b6b4-80e2672a48d1
Xie, Siyuan
6a047e59-1154-4b98-b7e1-4c3a0c6a1ecc
Gong, Shiqi
7598f391-2154-4e52-ad90-0708722a6243
Yang, Xuanhe
d5afab83-6783-40d9-b0fe-19b940862032
Chen, Sheng
9310a111-f79a-48b8-98c7-383ca93cbb80
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
18 May 2023
Xing, Chengwen
2477f24d-3711-47b1-b6b4-80e2672a48d1
Xie, Siyuan
6a047e59-1154-4b98-b7e1-4c3a0c6a1ecc
Gong, Shiqi
7598f391-2154-4e52-ad90-0708722a6243
Yang, Xuanhe
d5afab83-6783-40d9-b0fe-19b940862032
Chen, Sheng
9310a111-f79a-48b8-98c7-383ca93cbb80
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Xing, Chengwen, Xie, Siyuan, Gong, Shiqi, Yang, Xuanhe, Chen, Sheng and Hanzo, Lajos
(2023)
A KKT conditions based transceiver optimization framework for RIS-aided multiuser MIMO networks.
IEEE Transactions on Communications, 71 (5), .
(doi:10.1109/TCOMM.2023.3249788).
Abstract
In many core problems of signal processing and wireless communications, Karush-Kuhn-Tucker (KKT) conditions based optimization plays a fundamental role. Hence we investigate the KKT conditions in the context of optimizing positive semidefinite matrix variables under nonconvex rank constraints. More explicitly, based on the properties of KKT conditions, we optimize a reconfigurable intelligent surface (RIS) aided multi-user multi-input multi-output (MU-MIMO) network. Specifically, we consider the capacity maximization and sum mean square error (MSE) minimization problems of both the RIS-aided MU-MIMO uplink (UL) and downlink (DL) under multiple weighted power constraints and rank constraints. As for the RIS-aided MU-MIMO UL, the optimal structures of the signal covariance matrices are derived based on the KKT conditions. Furthermore, an efficient procedure is designed for solving the capacity maximization and sum mean square error (MSE) minimization problems. Then the UL-DL dualities are exploited for solving the capacity maximization and MSE minimization problems of the RIS-aided MU-MIMO DL based on the results of the UL optimization. Hence in the proposed framework, the phase shifting matrix of the RIS is jointly optimized with the signal covariance matrices for both the UL and DL. Our simulation results demonstrate the performance advantages of the proposed framework.
Text
KKT_Duality
- Accepted Manuscript
Text
TCOM2023-May
- Version of Record
Restricted to Repository staff only
Request a copy
More information
Accepted/In Press date: 22 February 2023
e-pub ahead of print date: 27 February 2023
Published date: 18 May 2023
Additional Information:
L. Hanzo would like to acknowledge the financial support of the Engineering and Physical Sciences Research Council projects EP/P034284/1 and EP/P003990/1 (COALESCE) as well as of the European Research Council's Advanced Fellow Grant QuantCom (Grant No. 789028).
Keywords:
Covariance matrices, Duality, Eigenvalues and eigenfunctions, KKT conditions, MIMO communication, MU-MIMO, Minimization, Optimization, Programming, RIS, Standards, covariance optimization, matrix variables
Identifiers
Local EPrints ID: 476171
URI: http://eprints.soton.ac.uk/id/eprint/476171
ISSN: 0090-6778
PURE UUID: 6e0e95af-5274-4d0c-b649-26f3aa2f1146
Catalogue record
Date deposited: 13 Apr 2023 16:31
Last modified: 18 Mar 2024 02:36
Export record
Altmetrics
Contributors
Author:
Chengwen Xing
Author:
Siyuan Xie
Author:
Shiqi Gong
Author:
Xuanhe Yang
Author:
Sheng Chen
Author:
Lajos Hanzo
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics