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Optimality of Diagonalization of Multicarrier Multi-Hop Linear Non-Regenerative MIMO Relays

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Open access
Authors
Rong, Yue
Hua, Y.
Date
2010
Type
Conference Paper

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Citation
Rong, Yue and Hua, Y. 2010. Optimality of Diagonalization of Multicarrier Multi-Hop Linear Non-Regenerative MIMO Relays, in Mansoor Shafi (ed), IEEE Wireless Communications and Networking Conference 2010, Apr 18 2010. Sydney: IEEE.
Source Title
Proceedings of the IEEE Wireless Communications and Networking Conference 2010
Source Conference
IEEE Wireless Communications and Networking Conference 2010
Faculty
Department of Electrical and Computer Engineering
School of Engineering
Faculty of Science and Engineering
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Abstract

In this paper, a multicarrier multi-hop multiple-input multiple-output (MIMO) relay system is investigated. A linear non-regenerative strategy is applied at each relay node. We show that for Schur-concave objective functions, the optimal source precoding matrix, the optimal relay amplifying matrices and the optimal receiving matrix jointly diagonalize the multicarrier multi-hop MIMO relay channel. And for Schur-convex objectives, such joint diagonalization along with a rotation of the source precoding matrix is also shown to be optimal. Using the optimal structure of the source and relay matrices, the multi-hop relay design problem boils down to the issue of power loading among the resulting parallel multi-hop single-input single-output (SISO) relay channels. This paper provides additional details of the multicarrier version of some of our recent results.