### 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 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### 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

}

*2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Proceedings.*, 6692462, IEEE Vehicular Technology Conference, 2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013, Dresden, Germany, 13/6/2. https://doi.org/10.1109/VTCSpring.2013.6692462

**Asymptotic distribution of system capacity in multiuser MIMO systems with large number of antennas.** / Jung, Minchae; Kim, Taehyung; Min, Kyungsik; Kim, Younsun; Lee, Juho; Choi, Sooyong.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Asymptotic distribution of system capacity in multiuser MIMO systems with large number of antennas

AU - Jung, Minchae

AU - Kim, Taehyung

AU - Min, Kyungsik

AU - Kim, Younsun

AU - Lee, Juho

AU - Choi, Sooyong

PY - 2013/12/1

Y1 - 2013/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84893622830&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893622830&partnerID=8YFLogxK

U2 - 10.1109/VTCSpring.2013.6692462

DO - 10.1109/VTCSpring.2013.6692462

M3 - Conference contribution

AN - SCOPUS:84893622830

SN - 9781467363372

T3 - IEEE Vehicular Technology Conference

BT - 2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Proceedings

ER -