### Abstract

In this paper, an asymptotic distribution for the sum rate capacity is derived in zero-forcing beamforming (ZF-BF) based multiuser MIMO systems with a large number of base station (BS) antennas. By utilizing the characteristics of a large number of antennas and the central limit theorem, we prove that the asymptotic distribution for the sum rate capacity follows Gaussian distribution. Also we derive the mean and variance values for the asymptotic Gaussian distribution. Based on the asymptotic Gaussian distribution, we also obtain the outage probability for the sum rate capacity as a closed form. Simulation results show that the asymptotic Gaussian distribution is well follows the actual sum rate capacity, and the both asymptotic mean and variance value are also very accurate.

Original language | English |
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Title of host publication | 2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Proceedings |

DOIs | |

Publication status | Published - 2013 Dec 1 |

Event | 2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Dresden, Germany Duration: 2013 Jun 2 → 2013 Jun 5 |

### Publication series

Name | IEEE Vehicular Technology Conference |
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ISSN (Print) | 1550-2252 |

### Other

Other | 2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 |
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Country | Germany |

City | Dresden |

Period | 13/6/2 → 13/6/5 |

### All Science Journal Classification (ASJC) codes

- Computer Science Applications
- Electrical and Electronic Engineering
- Applied Mathematics

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## Cite this

*2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Proceedings*[6692462] (IEEE Vehicular Technology Conference). https://doi.org/10.1109/VTCSpring.2013.6692462