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Abstract: In a bi-directional relay channel, two nodes wish to exchange independentmessages over a shared wireless half-duplex channel with the help of a relay.In this paper, we derive achievable rate regions for four new half-duplexprotocols and compare these to four existing half-duplex protocols and outerbounds. In time, our protocols consist of either two or three phases. In thetwo phase protocols, both users simultaneously transmit during the first phaseand the relay alone transmits during the second phase, while in the three phaseprotocol the two users sequentially transmit followed by a transmission fromthe relay. The relay may forward information in one of four manners; we outlineexisting Amplify and Forward AF, Decode and Forward DF and Compress andForward CF relaying schemes and introduce the novel Mixed Forward scheme. Thelatter is a combination of CF in one direction and DF in the other. We deriveachievable rate regions for the CF and Mixed relaying schemes for the two andthree phase protocols. In the last part of this work we provide a comprehensivetreatment of 8 possible half-duplex bi-directional relaying protocols inGaussian noise, obtaining their respective achievable rate regions, outerbounds, and their relative performance under different SNR and relaygeometries.



Author: Sang Joon Kim, Natasha Devroye, Patrick Mitran, Vahid Tarokh

Source: https://arxiv.org/







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