Robust Beamforming Techniques for Non-Orthogonal Multiple Access Systems with Bounded Channel Uncertainties

Faezeh Alavi*, Kanapathippillai Cumanan, Zhiguo Ding, Alister G. Burr

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We propose a robust beamforming design for non-orthogonal multiple access-based multiple-input single-output downlink systems. In particular, the robust power minimization problem is studied with imperfect channel state information, where the beamformers are designed by incorporating norm-bounded channel uncertainties to provide the required quality of service at each user. This robust scheme is developed based on the worst-case performance optimization framework. In terms of beamforming vectors, the original robust design is not convex; therefore, the robust beamformers cannot be obtained directly. To circumvent this non-convex issue, the original intractable problem is reformulated into a convex problem, where the non-convex constraint is converted into a linear matrix inequality by exploiting S-Procedure. Simulation results are provided to demonstrate the effectiveness of the proposed robust design.

Original languageEnglish
Article number7922522
Pages (from-to)2033-2036
Number of pages4
JournalIEEE Communications Letters
Issue number9
Publication statusPublished - Sept 2017

Bibliographical note

Funding Information:
Manuscript received February 8, 2017; revised March 23, 2017 and April 14, 2017; accepted April 25, 2017. Date of publication May 9, 2017; date of current version September 8, 2017. The work of all authors was supported by H2020-MSCARISE-2015 under grant number 690750. The associate editor coordinating the review of this paper and approving it for publication was L. Dai. (Corresponding author: Faezeh Alavi.) F. Alavi, K. Cumanan, and A. G. Burr are with the Department of Electronic Engineering, University of York, York YO10 5DD, U.K. (e-mail: [email protected]).

Publisher Copyright:
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  • multiple-input single-output (MISO)
  • Non-orthogonal multiple access (NOMA)
  • robust beamforming
  • worst-case performance optimization

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