### Abstract

Maximizing the minimum weighted SIR, minimizing the weighted sum MSE and maximizing the weighted sum rate in a multiuser downlink system are three important performance objectives in joint transceiver and power optimization, where all the users have a total power constraint. We show that, through connections with the nonlinear Perron-Frobenius theory, jointly optimizing power and beam formers in the max-m in weighted SIR problem can be solved optimally in a distributed fashion . Then, connecting these three performance objectives through the arithmetic-geometric mean inequality and nonnegative matrix theory, we solve the weighted sum MSE minimization and weighted sum rate maximization in the low to moderate interference regimes using fast algorithms.

Original language | English (US) |
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Title of host publication | 2009 IEEE International Symposium on Information Theory, ISIT 2009 |

Pages | 2669-2673 |

Number of pages | 5 |

DOIs | |

State | Published - 2009 |

Event | 2009 IEEE International Symposium on Information Theory, ISIT 2009 - Seoul, Korea, Republic of Duration: Jun 28 2009 → Jul 3 2009 |

### Publication series

Name | IEEE International Symposium on Information Theory - Proceedings |
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ISSN (Print) | 2157-8102 |

### Other

Other | 2009 IEEE International Symposium on Information Theory, ISIT 2009 |
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Country | Korea, Republic of |

City | Seoul |

Period | 6/28/09 → 7/3/09 |

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Information Systems
- Modeling and Simulation
- Applied Mathematics

## Fingerprint Dive into the research topics of 'Maximizing sum rate and minimizing MSE on multiuser Downlink: Optimality, fast algorithms and equivalence via max-min SIR'. Together they form a unique fingerprint.

## Cite this

*2009 IEEE International Symposium on Information Theory, ISIT 2009*(pp. 2669-2673). [5205907] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2009.5205907