Optimal Structure of Robust Linear Transceiver for Amplify-and-Forward Multi-Hop MIMO Relaying Systems

Computer Science – Information Theory

Scientific paper

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30 pages, 6 figures, Submitted to TWC; Trans. Wireless Communications 2011

Scientific paper

In 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 are investigated. Some commonly used transceiver design criteria such as weighted mean-square-error (MSE) minimization, mutual information maximization, worst MSE/MAX-MSE minimization and weighted sum-rate maximization, are taken into a single matrix-variate optimization problem. Exploiting majorization theory and properties of matrix-variate functions, the optimal structures of robust transceivers are derived. Based on the optimal structures, the original transceiver design problems are reduced to much 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 of the proposed solution. The performance advantages of the proposed robust designs are demonstrated by the simulation results.

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