Beamforming optimization in multi-user amplify-and-forward wireless relay networks

A. H. Phan, H. D. Tuan, H. H. Kha, Ha H. Nguyen

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

Abstract

Optimization problems of beamforming in multi-user amplify-and-forward (AF) wireless relay networks are indefinite (nonconvex) quadratic programs, which require effective computational solutions. Solutions to these problems have often been obtained by relaxing the original problems to semi-definite programs (SDPs) of convex optimization. Most existing works have claimed that these relaxed SDPs actually provide the optimal beamforming solutions. This paper, however, shows that this is not the case in many practical scenarios where SDPs fail to provide even a feasible beamforming solution. To fill this gap, we develop in this paper a nonsmooth optimization algorithm, which provides the optimal solution at low computational complexity.

Original languageEnglish
Article number6155555
Pages (from-to)1510-1520
Number of pages11
JournalIEEE Transactions on Wireless Communications
Volume11
Issue number4
DOIs
Publication statusPublished - Apr 2012
Externally publishedYes

Keywords

  • minimax optimization
  • nonsmooth optimization
  • Relay beamforming

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