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Joint MMSE Design of Relay and Destination in TwoHop MIMO MultiRelay Networks
Youhua FU WeiPing ZHU Chen LIU Feng LU HuaAn ZHAO
Publication
IEICE TRANSACTIONS on Communications
Vol.E96B
No.3
pp.836846 Publication Date: 2013/03/01
Online ISSN: 17451345
DOI: 10.1587/transcom.E96.B.836
Print ISSN: 09168516 Type of Manuscript: PAPER Category: Wireless Communication Technologies Keyword: joint optimization, amplifyandforward (AF), meansquare error (MSE), MIMO relay networks,
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Summary:
This paper presents a joint linear processing scheme for twohop and halfduplex distributed amplifyandforward (AF) relaying networks with one source, one destination and multiple relays, each having multiple antennas. By using the minimum meansquare error (MMSE) criterion and the Wiener filter principle, the joint relay and destination design with perfect channel state information (CSI) is first formulated as an optimization problem with respect to the relay precoding matrix under the constraint of a total relay transmit power. The constrained optimization with an objective to design the relay blockdiagonal matrix is then simplified to an equivalent problem with scalar optimization variables. Next, it is revealed that the scalarversion optimization is convex when the total relay power or the secondhop SNR (signal to noise ratio) is above a certain threshold. The underlying optimization problem, which is nonconvex in general, is solved by complementary geometric programming (CGP). The proposed joint relay and destination design with perfect CSI is also extended for practical systems where only the channel mean and covariance matrix are available, leading to a robust processing scheme. Finally, Monte Carlo simulations are undertaken to demonstrate the superior MSE (meansquare error) and SER (symbol error rate) performances of the proposed scheme over the existing relaying method in the case of relatively large secondhop SNR.

