Piggyback a common message on half-duplex bidirectional relaying

Tobias J. Oechtering, Holger Boche

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


In this work we consider the achievable rates of a joint resource allocation for a three-node network where a half-duplex relay node enables bidirectional communication between nodes 1 and 2 and thereby adds an own multicast message to the communication. In the multiple access phase nodes 1 and 2 transmit their message to the relay node, which decodes the messages and forwards them in the succeeding broadcast phase. Therefore, the relay node encodes the multicast and bidirectional messages using the superposition encoding strategy. We do not allow cooperation between the encoders of nodes 1 and 2, but since both nodes know a priori its own bidirectional message, both nodes can cancel the interference caused by their own message before decoding the unknown messages. It shows that for both nodes it is always optimal to decode the relay message first. Furthermore, the total sum-rate maximum is determined by the sum-rate optimum of the bidirectional broadcast phase. From the closed form solutions of the combinatorial problems we can characterize the bidirectional rate pairs where the total sum-rate remains constant In the end the obtained results are discussed and illustrated by means of some working examples. The joint resource allocation improves the overall spectral efficiency and enables new trade-offs between the routing tasks.

Original languageEnglish
Article number4626313
Pages (from-to)3397-3406
Number of pages10
JournalIEEE Transactions on Wireless Communications
Issue number9
StatePublished - Sep 2008
Externally publishedYes


  • Achievable rate region
  • Bidirectional communication
  • Decode-and-forward
  • Half-duplex relay
  • Multicast


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