Optimality of Diagonalization of Multicarrier Multi-Hop Linear Non-Regenerative MIMO Relays
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...
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
IEEE
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/43556 |
| _version_ | 1848756730202161152 |
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| author | Rong, Yue Hua, Y. |
| author2 | Mansoor Shafi |
| author_facet | Mansoor Shafi Rong, Yue Hua, Y. |
| author_sort | Rong, Yue |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T09:16:50Z |
| format | Conference Paper |
| id | curtin-20.500.11937-43556 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:16:50Z |
| publishDate | 2010 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-435562017-10-02T02:26:56Z Optimality of Diagonalization of Multicarrier Multi-Hop Linear Non-Regenerative MIMO Relays Rong, Yue Hua, Y. Mansoor Shafi MIMO relay nonregenerative relay multicarrier 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. 2010 Conference Paper http://hdl.handle.net/20.500.11937/43556 IEEE fulltext |
| spellingShingle | MIMO relay nonregenerative relay multicarrier Rong, Yue Hua, Y. Optimality of Diagonalization of Multicarrier Multi-Hop Linear Non-Regenerative MIMO Relays |
| title | Optimality of Diagonalization of Multicarrier Multi-Hop Linear Non-Regenerative MIMO Relays |
| title_full | Optimality of Diagonalization of Multicarrier Multi-Hop Linear Non-Regenerative MIMO Relays |
| title_fullStr | Optimality of Diagonalization of Multicarrier Multi-Hop Linear Non-Regenerative MIMO Relays |
| title_full_unstemmed | Optimality of Diagonalization of Multicarrier Multi-Hop Linear Non-Regenerative MIMO Relays |
| title_short | Optimality of Diagonalization of Multicarrier Multi-Hop Linear Non-Regenerative MIMO Relays |
| title_sort | optimality of diagonalization of multicarrier multi-hop linear non-regenerative mimo relays |
| topic | MIMO relay nonregenerative relay multicarrier |
| url | http://hdl.handle.net/20.500.11937/43556 |