Optimum Linear Design of Two-Hop MIMO Relay Networks With QoS Requirements

This paper investigates the optimal design issue of general two-hop amplify-and-forward (AF) MIMO relay networks with one source, one destination and multiple relays, each having multiple antennas. Beginning with the study of the mean-square error (MSE) matrix of the system and the use of Wiener fil...

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Bibliographic Details
Published in:IEEE transactions on signal processing Vol. 59; no. 5; pp. 2257 - 2269
Main Authors: Fu, Youhua, Yang, Luxi, Zhu, Wei-Ping, Liu, Chen
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.05.2011
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Amplify-and-forward (AF)
Antennas
Applied sciences
Channels
Coding, codes
Computer simulation
Cost function
Design engineering
Design optimization
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Information, signal and communications theory
joint optimization
Joints
MIMO
MIMO relay networks
Miscellaneous
Optimization
Quality of service
quality of service (QoS)
Relay
Relay networks
Relays
Signal and communications theory
Signal processing
Signal to noise ratio
Signal, noise
Studies
Telecommunications and information theory
joint optimization
Diagonalization
Parameter estimation
Relay
Relay network
Amplify-and-forward (AF)
Optimal design
Mean square error
Wiener filter
Coding
Channel estimation
Cost function
Routing protocols
Pretreatment
Multilevel system
Antenna array
Matrix system
MIMO system
Lower bound
quality of service (QoS)
Transmission protocol
MIMO relay networks
Covariance matrix
Algorithm
Constrained optimization
Simulation
Signal processing
Service quality
ISSN:1053-587X, 1941-0476
Online Access:Get full text
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Summary:This paper investigates the optimal design issue of general two-hop amplify-and-forward (AF) MIMO relay networks with one source, one destination and multiple relays, each having multiple antennas. Beginning with the study of the mean-square error (MSE) matrix of the system and the use of Wiener filter for the destination processing, a constrained optimization problem with respect to the unknown relay precoder matrix is formulated with a goal of minimizing the total relay transmit power subject to the MSE-based quality of service (QoS) requirement on each data stream. As the original optimization problem is very difficult to solve, a lower bound of the cost function is pursued to achieve an approximate optimization problem. The modified problem is then solved under the perfect channel state information (CSI) condition using the diagonalization method along with the majorization theory to obtain optimal relay precoder with either nonoptimal or optimal source precoding. It is shown that a convex relay precoding solution is available in the case of nonoptimal source precoding whereas a joint optimal source and relay precoder can be obtained through a multilevel waterfilling algorithm. The optimal design of the relay network under imperfect CSI condition is also considered by modifying the optimization problem with the channel mean and covariance matrix, leading to a robust optimization design of the relay precoder. The proposed technique is validated by Monto Carlo simulations and is also compared with one existing method.
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ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2011.2113180