Matrix analysis
Fundamentals of wireless communication
Fundamentals of wireless communication
A Survey on Fault Tolerant Routing Techniques in Wireless Sensor Networks
SENSORCOMM '09 Proceedings of the 2009 Third International Conference on Sensor Technologies and Applications
Optimizations of a MIMO Relay Network
IEEE Transactions on Signal Processing - Part II
Tunable Channel Decomposition for MIMO Communications Using Channel State Information
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Linear Transceiver Design in Nonregenerative Relays With Channel State Information
IEEE Transactions on Signal Processing
A survey on power control issues in wireless sensor networks
IEEE Communications Surveys & Tutorials
Optimal Design of Non-Regenerative MIMO Wireless Relays
IEEE Transactions on Wireless Communications
Power Allocation Schemes for Amplify-and-Forward MIMO-OFDM Relay Links
IEEE Transactions on Wireless Communications
Optimality of diagonalization of multi-hop MIMO relays
IEEE Transactions on Wireless Communications
On the capacity of MIMO relay channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
IEEE Journal on Selected Areas in Communications
Optimal relay functionality for SNR maximization in memoryless relay networks
IEEE Journal on Selected Areas in Communications
Multi-hop wireless backhaul networks: a cross-layer design paradigm
IEEE Journal on Selected Areas in Communications
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In this paper, we study multi-hop non-regenerative multiple-input multiple-output (MIMO) relay communications with any number of hops. We design the optimal source precoding matrix and the optimal relay amplifying matrices for such relay network where a nonlinear minimal mean-squared error (MMSE)-decision feedback equalizer (DFE) is used at the destination node. We first derive the structure of the optimal source and relay matrices. Then based on the link between most commonly used MIMO system design objectives and the diagonal elements of the MSE matrix, we classify the objective functions into two categories: Schur-convex and Schur-concave composite objective functions. We show that when the composite objective function is Schur-convex, the MMSE-DFE receiver together with the optimal source and relay matrices enable an arbitrary number of source symbols to be transmitted at one time, and yield a significantly improved BER performance compared with non-regenerative MIMO relay systems using linear receivers at the destination. We also show that for Schur-concave composite objective functions, the optimal source and relay matrices, and the optimal feed-forward matrix at the destination node jointly diagonalize the multi-hop MIMO relay channel, and thus in such case, the nonlinear MMSE-DFE receiver is essentially equivalent to a linear MMSE receiver.