Robust Joint Design of Linear Relay Precoder and Destination Equalizer for Dual-Hop Amplify-and-Forward MIMO Relay Systems

This paper addresses the problem of robust linear relay precoder and destination equalizer design for a dual-hop amplify-and-forward (AF) multiple-input multiple-output (MIMO) relay system, with Gaussian random channel uncertainties in both hops. By taking the channel uncertainties into account, two...

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Veröffentlicht in:IEEE transactions on signal processing Jg. 58; H. 4; S. 2273 - 2283
Hauptverfasser: Xing, Chengwen, Ma, Shaodan, Wu, Yik-Chung
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York, NY IEEE 01.04.2010
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Algorithm design and analysis
Algorithms
Amplify-and-forward (AF)
Applied sciences
Channel estimation
Channels
Closed-form solution
Covariance matrix
Design engineering
Detection, estimation, filtering, equalization, prediction
Economic models
Economic theory
equalizer
Equalizers
Exact sciences and technology
Exact solutions
Information, signal and communications theory
Iterative algorithms
Mathematical analysis
MIMO
minimum mean-square-error (MMSE)
Miscellaneous
multiple-input multiple-output (MIMO)
precoder
relay
Relay systems
Relays
Robustness
Signal and communications theory
Signal processing
Signal, noise
Studies
Telecommunications and information theory
Uncertainty
Performance evaluation
Parameter estimation
Relay
Amplify-and-forward (AF)
Iterative method
Equalizer
Mean square error
Relaxation
Channel estimation
Convergence rate
MIMO system
Estimation error
minimum mean-square-error (MMSE)
Gaussian channel
precoder
Output signal
Covariance matrix
multiple-input multiple-output (MIMO)
Joint
Algorithm
Multihop network
Relay channel
Algorithm performance
Simulation
Optimal solution
Signal processing
ISSN:1053-587X, 1941-0476
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Beschreibung
Zusammenfassung:This paper addresses the problem of robust linear relay precoder and destination equalizer design for a dual-hop amplify-and-forward (AF) multiple-input multiple-output (MIMO) relay system, with Gaussian random channel uncertainties in both hops. By taking the channel uncertainties into account, two robust design algorithms are proposed to minimize the mean-square error (MSE) of the output signal at the destination. One is an iterative algorithm with its convergence proved analytically. The other is an approximated closed-form solution with much lower complexity than the iterative algorithm. Although the closed-form solution involves a minor relaxation for the general case, when the column covariance matrix of the channel estimation error at the second hop is proportional to identity matrix, no relaxation is needed and the proposed closed-form solution is the optimal solution. Simulation results show that the proposed algorithms reduce the sensitivity of the AF MIMO relay systems to channel estimation errors, and perform better than the algorithm using estimated channels only. Furthermore, the closed-form solution provides a comparable performance to that of the iterative algorithm.
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ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2009.2038961