### Abstract

It is conjectured in [6] that the covariance matrices minimizing the outage probability under a power constraint for MIMO channels with Gaussian fading are diagonal with either zeros or constant values on the diagonal. In the MISO setting, this is equivalent to conjecture that the Gaussian quadratic forms having largest tail probability correspond to such diagonal matrices. This paper provides a proof of the conjecture in this MISO setting.

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

Pages | 65-69 |

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

Abbe, E., Shao-Lun Huang, H., & Telatar, E. (2012). Proof of the outage probability conjecture for MISO channels. In

*2012 IEEE Information Theory Workshop, ITW 2012*(pp. 65-69). [6404760] (2012 IEEE Information Theory Workshop, ITW 2012). https://doi.org/10.1109/ITW.2012.6404760