English

Robust Transceiver with Tomlinson-Harashima Precoding for Amplify-and-Forward MIMO Relaying Systems

Information Theory 2016-11-15 v4 math.IT

Abstract

In this paper, robust transceiver design with Tomlinson-Harashima precoding (THP) for multi-hop amplify-and-forward (AF) multiple-input multiple-output (MIMO) relaying systems is investigated. At source node, THP is adopted to mitigate the spatial intersymbol interference. However, due to its nonlinear nature, THP is very sensitive to channel estimation errors. In order to reduce the effects of channel estimation errors, a joint Bayesian robust design of THP at source, linear forwarding matrices at relays and linear equalizer at destination is proposed. With novel applications of elegant characteristics of multiplicative convexity and matrix-monotone functions, the optimal structure of the nonlinear transceiver is first derived. Based on the derived structure, the transceiver design problem reduces to a much simpler one with only scalar variables which can be efficiently solved. Finally, the performance advantage of the proposed robust design over non-robust design is demonstrated by simulation results.

Keywords

Cite

@article{arxiv.1109.0847,
  title  = {Robust Transceiver with Tomlinson-Harashima Precoding for Amplify-and-Forward MIMO Relaying Systems},
  author = {Chengwen Xing and Minghua Xia and Feifei Gao and Yik-Chung Wu},
  journal= {arXiv preprint arXiv:1109.0847},
  year   = {2016}
}

Comments

IEEE Journal on Selected Areas in Communications - Special Issue on Theories and Methods for Advanced Wireless Relays The final version and several typos have been corrected

R2 v1 2026-06-21T18:59:44.709Z