Joint MMSE transceiver design in amplify-and-forward mimo relay systems 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 contribution

3 Scopus citations

Abstract

Existing precoding schemes in amplify-and-forward (AF) multiple-input- multiple-output (MIMO) relay systems use linear precoders. In this paper, we consider a precoding scheme in which a Tomlinson-Harashima (TH) precoder (THP) is used at the source and a linear precoder at the relay. With a minimum-mean-squared-error (MMSE) receiver at destination, we propose a new joint precoders design method. Since two precoders are involved, the transceiver design, formulated as an optimization problem, is difficult to solve. To overcome the problem, we propose cascading an additional unitary precoder with the TH precoder. The unitary precoder can not only simplify the optimization problem but also improve the MMSE performance. With the specially designed unitary precoder at the source, we can then adopt the primal decomposition method to solve this problem. With the method, the original optimization problem can first be decomposed into a master and a subproblem optimization problems, and then transferred to a relay precoder optimization problem. However, the optimization is not a convex problem and the solution is not obtainable. We then propose a method being able to transfer it to a convex optimization problem. A closed-form solution can then be obtained by the Karuch-Kuhn-Tucker (KKT) conditions. Simulations show that the proposed transceiver can significantly outperform existing linear transceivers.

Original languageEnglish
Title of host publication2010 IEEE 21st International Symposium on Personal Indoor and Mobile Radio Communications, PIMRC 2010
Pages443-448
Number of pages6
DOIs
StatePublished - 1 Dec 2010
Event2010 IEEE 21st International Symposium on Personal Indoor and Mobile Radio Communications, PIMRC 2010 - Istanbul, Turkey
Duration: 26 Sep 201030 Sep 2010

Publication series

NameIEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC

Conference

Conference2010 IEEE 21st International Symposium on Personal Indoor and Mobile Radio Communications, PIMRC 2010
CountryTurkey
CityIstanbul
Period26/09/1030/09/10

Keywords

  • Amplify-and-forward (AF)
  • Cooperative communication
  • Karush-Kuhn-Tucker (KKT)
  • Minimum-mean-squared- error (MMSE)
  • Multiple-input multiple-output (MIMO)
  • Precoder
  • Primal decomposition approach
  • Tomlinson-Harashima precoding (THP)

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  • Cite this

    Tseng, F. S., Chang, M. Y., & Wu, W-R. (2010). Joint MMSE transceiver design in amplify-and-forward mimo relay systems with tomlinson-harashima source precoding. In 2010 IEEE 21st International Symposium on Personal Indoor and Mobile Radio Communications, PIMRC 2010 (pp. 443-448). [5671888] (IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC). https://doi.org/10.1109/PIMRC.2010.5671888