Robust MMSE transceiver design in amplify-and-forward MIMO relay system with Tomlinson-Harashima source precoding

Fan Shuo Tseng*, Min Yao Chang, Wen-Rong Wu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Most nonlinear transceiver designs in amplify-and-forward (AF) multiple-input-multiple-output (MIMO) relay systems assume that instantaneous perfect channel state informations (CSIs) are available. Transceiver design with imperfect CSIs have rarely been addressed. In this paper, we consider an AF MIMO system in which a Tomlinson-Harashima precoder (THP) is used at the source, a linear precoder at the relay, and a minimum-mean-squared-error (MMSE) receiver at the destination. With the imperfect CSIs, we propose a new robust transceiver design method. It is shown that the optimization problem for the design is difficult due to the fact that the objective function is a nonlinear function of the source and relay precoders and yet the constraints are coupled. To overcome the problem, we adopt the primal decomposition technique, decomposing the original optimization into a subproblem and a master problem. To facilitate the derivation of the solution, we propose cascading THP with a unitary precoder and using a lower bound of the objective function. In this way, we can translate the original matrix-valued optimization into the scalar-valued concave optimization. Using the Karush-Kuhn-Tucker (KKT) conditions, we can finally obtain the closed-form solutions for the relay and source precoders. Simulations show that the proposed design is effective against the imperfect CSIs.

Original languageEnglish
Title of host publication2012 IEEE Wireless Communications and Networking Conference, WCNC 2012
Pages748-752
Number of pages5
DOIs
StatePublished - 1 Aug 2012
Event2012 IEEE Wireless Communications and Networking Conference, WCNC 2012 - Paris, France
Duration: 1 Apr 20124 Apr 2012

Publication series

NameIEEE Wireless Communications and Networking Conference, WCNC
ISSN (Print)1525-3511

Conference

Conference2012 IEEE Wireless Communications and Networking Conference, WCNC 2012
CountryFrance
CityParis
Period1/04/124/04/12

Keywords

  • Amplify-and-forward (AF)
  • Karush-Kuhn-Tucker (KKT)
  • Tomlinson-Harashima precoding (THP)
  • cooperative communication
  • minimum-mean-squared- error (MMSE)
  • multiple-input multiple-output (MIMO)
  • primal decomposition
  • robust transceiver design

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