- Title
- On capacity and optimal scheduling for the half-duplex multiple-relay channel
- Creator
- Ong, Lawrence; Motani, Mehul; Johnson, Sarah J.
- Relation
- IEEE Transactions on Information Theory Vol. 58, Issue 9, p. 5770-5784
- Publisher Link
- http://dx.doi.org/10.1109/TIT.2012.2204489
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 2012
- Description
- We study the half-duplex multiple-relay channel (HD-MRC) where every node can either transmit or listen but cannot do both at the same time. We obtain a capacity upper bound based on a max-flow min-cut argument and achievable transmission rates based on the decode-forward (DF) coding strategy, for both the discrete memoryless HD-MRC and the phase-fading HD-MRC. We discover that both the upper bound and the achievable rates are functions of the transmit/listen state (a description of which nodes transmit and which receive). More precisely, they are functions of the time fraction of the different states, which we term a schedule. We formulate the optimal scheduling problem to find an optimal schedule that maximizes the DF rate. The optimal scheduling problem turns out to be a maximin optimization, for which we propose an algorithmic solution. We demonstrate our approach on a four-node multiple-relay channel, obtaining closed-form solutions in certain scenarios. Furthermore, we show that for the received signal-to-noise ratio degraded phase-fading HD-MRC, the optimal scheduling problem can be simplified to a max optimization.
- Subject
- Decode-forward (DF); half duplex; multiple-relay channel (MRC); phase fading; scheduling
- Identifier
- http://hdl.handle.net/1959.13/1066898
- Identifier
- uon:18238
- Identifier
- ISSN:0018-9448
- Language
- eng
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