SINR-outage minimization of robust beamforming for the non-orthogonal wireless downlink
SINR-outage minimization of robust beamforming for the non-orthogonal wireless downlink
A probabilistically robust transmit beamforming problem is referred, when the wireless downlink (DL) communication is supported by a robust non-orthogonal transmission (NOT)-aided design. Realistic imperfect channel state information (CSI) is considered in the face of rapidly fluctuating vehicular wireless channels, when the road side unit (RSU) communicates with multiple vehicles. Our design objective is to keep the probability of each vehicle’s signal-to-interference-plus-noise ratio (SINR) outage below a given threshold. Minimizing the outage probability presents a significant analytical and computational challenge, since it does not lend itself to tractable closed-form expressions. Assuming a Gaussian CSI uncertainty distribution, we provide an approximation method by resorting to the semidefinite relaxation (SDR) and then apply a convex restriction to the original SINR outage constraints. Furthermore, the infinite constraints are reformulated into linear matrix inequalities (LMIs) by exploiting the popular S-procedure. As a benefit, the reformulated program can be solved efficiently using off-the-shelf solvers. Computer simulations are performed for benchmarking our convex method both against the non-robust non-orthogonal as well as the classical orthogonal designs. The results show that our robust beamforming design offers excellent high-mobility performance.
Robust optimization, channel state information (CSI), high mobility, non-orthogonal multiple access (NOMA), outage probability
7247-7257
Chen, Yingyang
7ca49191-73de-4b56-b282-abd2aa143da9
Wen, Miaowen
bc059b46-23e5-49d7-a333-cd5cb404e9d7
Wang, Li
f54669eb-8e6b-43ea-a6df-47cda21d6950
Liu, Weiping
4df171a1-a0d0-4a9a-bdde-21330128f48e
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
November 2020
Chen, Yingyang
7ca49191-73de-4b56-b282-abd2aa143da9
Wen, Miaowen
bc059b46-23e5-49d7-a333-cd5cb404e9d7
Wang, Li
f54669eb-8e6b-43ea-a6df-47cda21d6950
Liu, Weiping
4df171a1-a0d0-4a9a-bdde-21330128f48e
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Chen, Yingyang, Wen, Miaowen, Wang, Li, Liu, Weiping and Hanzo, Lajos
(2020)
SINR-outage minimization of robust beamforming for the non-orthogonal wireless downlink.
IEEE Transactions on Communications, 68 (11), , [9151971].
(doi:10.1109/TCOMM.2020.3012696).
Abstract
A probabilistically robust transmit beamforming problem is referred, when the wireless downlink (DL) communication is supported by a robust non-orthogonal transmission (NOT)-aided design. Realistic imperfect channel state information (CSI) is considered in the face of rapidly fluctuating vehicular wireless channels, when the road side unit (RSU) communicates with multiple vehicles. Our design objective is to keep the probability of each vehicle’s signal-to-interference-plus-noise ratio (SINR) outage below a given threshold. Minimizing the outage probability presents a significant analytical and computational challenge, since it does not lend itself to tractable closed-form expressions. Assuming a Gaussian CSI uncertainty distribution, we provide an approximation method by resorting to the semidefinite relaxation (SDR) and then apply a convex restriction to the original SINR outage constraints. Furthermore, the infinite constraints are reformulated into linear matrix inequalities (LMIs) by exploiting the popular S-procedure. As a benefit, the reformulated program can be solved efficiently using off-the-shelf solvers. Computer simulations are performed for benchmarking our convex method both against the non-robust non-orthogonal as well as the classical orthogonal designs. The results show that our robust beamforming design offers excellent high-mobility performance.
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More information
Accepted/In Press date: 23 July 2020
e-pub ahead of print date: 29 July 2020
Published date: November 2020
Additional Information:
Funding Information:
Manuscript received February 8, 2020; revised June 29, 2020; accepted July 22, 2020. Date of publication July 29, 2020; date of current version November 18, 2020. This work was supported in part by the National Natural Science Foundation of China under Grants 61871416 and 61875076, in part by the Fundamental Research Funds for the Central Universities under Grants 2018XKJC03, 21620351 and 2019SJ02, in part by the Beijing Municipal Natural Science Foundation under Grant L192030, and in part by the Beijing Science and Technology Nova Program under Grant xx2018083. L. Hanzo would like to acknowledge the financial support of the Engineering and Physical Sciences Research Council projects EP/N004558/1, EP/P034284/1, EP/P034284/1, EP/P003990/1 (COALESCE), of the Royal Society’s Global Challenges Research Fund Grant as well as of the European Research Council’s Advanced Fellow Grant QuantCom. The associate editor coordinating the review of this article and approving it for publication was M. Vaezi. (Corresponding authors: Yingyang Chen; Lajos Hanzo.) Yingyang Chen and Weiping Liu are with the Department of Electronic Engineering, College of Information Science and Technology, Jinan University, Guangzhou 510632, China (e-mail: chenyy@jnu.edu.cn; wpl@jnu.edu.cn).
Publisher Copyright:
© 1972-2012 IEEE.
Keywords:
Robust optimization, channel state information (CSI), high mobility, non-orthogonal multiple access (NOMA), outage probability
Identifiers
Local EPrints ID: 442868
URI: http://eprints.soton.ac.uk/id/eprint/442868
ISSN: 0090-6778
PURE UUID: 562e5cee-f304-4f60-bbf3-497a1ccf98ad
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Date deposited: 30 Jul 2020 16:30
Last modified: 13 Oct 2022 01:32
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Contributors
Author:
Yingyang Chen
Author:
Miaowen Wen
Author:
Li Wang
Author:
Weiping Liu
Author:
Lajos Hanzo
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