Abstract

Abstract In this article, we study the optimal structure of the source precoding matrix and the relay amplifying matrices for multiple-input multiple-output (MIMO) relay communication systems with parallel relay nodes. Two types of receivers are considered at the destination node: (1) The linear minimal mean-squared error (MMSE) receiver; (2) The nonlinear decision feedback equalizer based on the minimal MSE criterion. We show that for both receiver schemes, the optimal source precoding matrix and the optimal relay amplifying matrices have a beamforming structure. Using such optimal structure, joint source and relay power loading algorithms are developed to minimize the MSE of the signal waveform estimation at the destination. Compared with existing algorithms for parallel MIMO relay networks, the proposed joint source and relay beamforming algorithms have significant improvement in the system bit-error-rate performance.

Highlights

  • Multiple-input multiple-output (MIMO) relay communication systems have attracted much research interest [1-10]

  • In Section “minimal mean-squared error (MMSE) relay design” we study the optimal structure of the source and relay matrices using both receiver schemes, after that simulation results are given in Section “Simulations”

  • Minimal MMSE relay design we address the joint source and relay optimization problem for systems with a linear MMSE receiver and a nonlinear MMSE–decision feedback equalizer (DFE) receiver at the destination node, respectively

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Summary

Introduction

Multiple-input multiple-output (MIMO) relay communication systems have attracted much research interest [1-10]. In [11,12], parallel MIMO relay systems have been investigated with power constraint at the output of the second-hop channel considering a linear and a nonlinear receiver, respectively.

Results
Conclusion
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