### Abstract

This work considers a Gaussian multiple access channel with two energy harvesting transmitters with lossy energy storage. The power allocation policy maximizing the average weighted sum rate given the energy harvesting profiles is found. In particular, it is shown that the optimal policy has a double-threshold structure on each of the transmit powers, while the two transmit powers interact through the multivariate achievable rate function which determines the thresholds. For the special case of sum rate maximization in a Gaussian MAC channel, it is shown that the thresholds apply to the sum power, and the optimal policy consists of three thresholds, rather than four, which enables the user with a more efficient battery to be given priority in energy storage.

Original language | English (US) |
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Title of host publication | 2012 IEEE Information Theory Workshop, ITW 2012 |

Pages | 94-98 |

Number of pages | 5 |

DOIs | |

State | Published - Dec 1 2012 |

Event | 2012 IEEE Information Theory Workshop, ITW 2012 - Lausanne, Switzerland Duration: Sep 3 2012 → Sep 7 2012 |

### Publication series

Name | 2012 IEEE Information Theory Workshop, ITW 2012 |
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### Other

Other | 2012 IEEE Information Theory Workshop, ITW 2012 |
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Country | Switzerland |

City | Lausanne |

Period | 9/3/12 → 9/7/12 |

### All Science Journal Classification (ASJC) codes

- Information Systems

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## Cite this

*2012 IEEE Information Theory Workshop, ITW 2012*(pp. 94-98). [6404772] (2012 IEEE Information Theory Workshop, ITW 2012). https://doi.org/10.1109/ITW.2012.6404772