Energy Minimization for the Half-Duplex Relay Channel with Decode-Forward Relaying

Computer Science – Information Theory

Scientific paper

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Submitted to IEEE Transactions on Communications on 12 Aug. 2011 - Reviewed on 15 Apr. 2012

Scientific paper

We analyze coding for energy efficiency in relay channels for a fixed source rate. We propose a comprehensive half-duplex decode-forward scheme and three optimal sets of power allocation, which respectively minimize the network, the relay and the source energy consumption. Analysis shows that minimizing the network energy consumption at a given rate is not equivalent to maximizing the rate given energy, since it only covers a part of all rates achievable with partial decode-forward. We therefore combine the proposed schemes for minimizing network and relay energy consumptions into a generalized one, which then covers all achievable rates. This generalized scheme is not only energy-optimal but also rate-optimal for the consumed energy. Furthermore, we derive the optimal power allocation in closedform, which has so far remained only implicit with maximum-rate schemes. Performance simulation shows that proposed schemes save significant energy compared to both direct and two-hop transmissions commonly used in cellular networks. Up to 2.2dB of energy gain and 37.5% of outage reduction are reached at cell-edge. The results also give a detailed understanding of power consumption regimes and allow a comprehensive and practical description of the optimal message coding and resource allocation for each desired source rate and channel realization.

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