AbstractIn this paper, optimal linear transceiver designs for multi-hop amplify-and-forward (AF) Multiple-input Multiple-out (MIMO) relaying systems with Gaussian distributed channel estimation errors areinvestigated. Some commonly used transceiver design criteria such as weighted mean-square-error(MSE)minimization, mutual information maximization, worst MSE/MAX-MSE minimization and weightedsum-rate maximization, are taken into a single matrix-variate optimization problem. Exploiting ma-jorization theory and properties of matrix-variate functions, the optimal structures of robust transceiversare derived. Based on the optimal structures, the original transceiver design problems are reduced tomuch simpler problems with only scalar variables whose solutions are readily obtained by iterative water-ﬁlling algorithms. A number of existing transceiver design algorithms are found to be special cases ofthe proposed solution. The performance advantages of the proposed robust designs are demonstrated bythe simulation results.Index TermsAmplify-and-forward(AF), MIMO relaying, matrix-variateoptimization problems, robust transceiverdesign
['Chengwen Xing', 'Zesong Fei', 'Shaodan Ma', 'Jingming Kuang', 'Yik-Chung Wu']
Optimal Structure of Robust Linear Transceiver for Amplify-and-Forward Multi-Hop MIMO Relaying Systems