Joint Tomlinson-Harashima Source and Linear Relay Precoder Design in Amplify-and-Forward Multiple-Input Multiple-Output Two-Way Relay Systems

doi:10.1007/s12204-013-1381-6

Journal of shanghai Jiaotong University (Science) ›› 2013, Vol. 18 ›› Issue (2): 180-185.doi: 10.1007/s12204-013-1381-6

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Joint Tomlinson-Harashima Source and Linear Relay Precoder Design in Amplify-and-Forward Multiple-Input Multiple-Output Two-Way Relay Systems

QIAN Cheng* (钱成), ZHANG Meng (张萌), LUO Han-wen (罗汉文), LIU Wei (刘伟)

(Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
(Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China)

Online:2013-04-30 Published:2013-05-10
Contact: QIAN Cheng(钱成) E-mail:qian2151@yahoo.com.cn

Abstract

Abstract: Existing minimum-mean-squared-error (MMSE) transceiver designs in amplified-and-forward (AF) multiple-input multiple-output (MIMO) two-way relay systems all assume a linear precoder at the sources. Nonlinear source precoders in such a system have not been considered yet. In this paper, we study the joint design of source Tomlinson-Harashima precoders (THPs), relay linear precoder and MMSE receivers in two-way relay systems. This joint design problem is a highly nonconvex optimization problem. By dividing the original problem into three sub-problems, we propose an iterative algorithm to optimize precoders and receivers. The convergence of the algorithm is ensured since the updated solution is optimal to each sub-problem. Numerical simulation results show that the proposed iterative algorithm outperforms other algorithms in the high signal-to-noise ratio (SNR) region.

Key words: multiple-input multiple-output (MIMO)| two-way relay| Tomlinson-Harashima precoding| minimummean-square-error (MMSE)

摘要： Existing minimum-mean-squared-error (MMSE) transceiver designs in amplified-and-forward (AF) multiple-input multiple-output (MIMO) two-way relay systems all assume a linear precoder at the sources. Nonlinear source precoders in such a system have not been considered yet. In this paper, we study the joint design of source Tomlinson-Harashima precoders (THPs), relay linear precoder and MMSE receivers in two-way relay systems. This joint design problem is a highly nonconvex optimization problem. By dividing the original problem into three sub-problems, we propose an iterative algorithm to optimize precoders and receivers. The convergence of the algorithm is ensured since the updated solution is optimal to each sub-problem. Numerical simulation results show that the proposed iterative algorithm outperforms other algorithms in the high signal-to-noise ratio (SNR) region.

关键词: multiple-input multiple-output (MIMO)| two-way relay| Tomlinson-Harashima precoding| minimummean-square-error (MMSE)

CLC Number:

TN 929.5

QIAN Cheng* (钱成), ZHANG Meng (张萌), LUO Han-wen (罗汉文), LIU Wei (刘伟). Joint Tomlinson-Harashima Source and Linear Relay Precoder Design in Amplify-and-Forward Multiple-Input Multiple-Output Two-Way Relay Systems [J]. Journal of shanghai Jiaotong University (Science), 2013, 18(2): 180-185.

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Joint Tomlinson-Harashima Source and Linear Relay Precoder Design in Amplify-and-Forward Multiple-Input Multiple-Output Two-Way Relay Systems

Joint Tomlinson-Harashima Source and Linear Relay Precoder Design in Amplify-and-Forward Multiple-Input Multiple-Output Two-Way Relay Systems

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