Abstract

Abstract In this paper, we develop the optimal source precoding matrix and relay amplifying matrices for non-regenerative multiple-input multiple-output (MIMO) relay communication systems with parallel relay nodes using the projected gradient (PG) approach. We show that the optimal relay amplifying matrices have a beamforming structure. Exploiting the structure of relay matrices, an iterative joint source and relay matrices optimization algorithm is developed to minimize the mean-squared error (MSE) of the signal waveform estimation at the destination using the PG approach. The performance of the proposed algorithm is demonstrated through numerical simulations.

Highlights

  • Multiple-input multiple-output (MIMO) relay communication systems have attracted much research interest and provided significant improvement in terms of both spectral efficiency and link reliability [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]

  • We propose a jointly optimal source precoding matrix and relay amplifying matrices design for a two-hop non-regenerative multiple-input multiple-output (MIMO) relay network with multiple relay nodes using the projected gradient (PG) approach

  • 3 Joint source and relay matrix optimization we address the joint source and relay matrix optimization problem for MIMO multi-relay systems with a linear minimum mean-squared error (MMSE) receiver at the destination node

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Summary

Introduction

Multiple-input multiple-output (MIMO) relay communication systems have attracted much research interest and provided significant improvement in terms of both spectral efficiency and link reliability [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]. Many works have studied the optimal relay amplifying matrix for the source-relay-destination channel. In [4,5,6], the optimal relay amplifying matrix was designed to minimize the mean-squared error (MSE) of the signal waveform estimation at the destination.

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