## Abstract

In this work, we consider a dual-hop, decode-and-forward network where the relay can operate in FD mode. We model the residual self interference as an additive Gaussian noise with variance proportional to the relay transmit power, and we assume a Gaussian input distribution at the source. Unlike previous work, however, we assume that the source is only aware of the transmit power distribution adopted by the relay over a given time horizon, not of the symbols that the relay is currently transmitting. This scenario better reflects practical situations in which the relay node may also have to forward signaling traffic, or data originated by other sources. Under these conditions, we show that the optimal communication strategy that source and relay can adopt is a time-division scheme, and, for each slot, we determine the optimal transmit power level that source and relay should adopt depending on the channel gains. Interestingly, the distribution of the optimal transmit power turns out to be discrete with two probability masses.

Original language | English |
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Title of host publication | 2017 IEEE Information Theory Workshop (ITW 2017) |

Editors | Hsiao-feng Francis Lu, Stefan M. Moser, Chih-Chun Wang |

Place of Publication | Piscataway NJ USA |

Publisher | IEEE, Institute of Electrical and Electronics Engineers |

Pages | 504-508 |

Number of pages | 5 |

ISBN (Electronic) | 9781509030972, 9781509030965 |

ISBN (Print) | 9781509030989 |

DOIs | |

Publication status | Published - 2017 |

Event | Information Theory Workshop 2017 - Kaohsiung Exhibition Center, Kaohsiung, Taiwan Duration: 6 Nov 2017 → 10 Nov 2017 http://itw2017.ee.nthu.edu.tw/index.html https://ieeexplore.ieee.org/xpl/conhome/8266764/proceeding (Proceedings) |

### Conference

Conference | Information Theory Workshop 2017 |
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Abbreviated title | ITW 2017 |

Country | Taiwan |

City | Kaohsiung |

Period | 6/11/17 → 10/11/17 |

Internet address |