### Abstract

The optimal number of users achieving the maximum sum throughput is analyzed in zero-forcing (ZF) based multiuser multiple-input multiple-output (MIMO) systems with a large number of base station (BS) antennas. By utilizing deterministic ergodic sum rates for the ZF-beamforming (ZF-BF) and ZF-receiver (ZF-R) with a large number of BS antennas [1], [2], we can obtain the ergodic sum throughputs for the ZF-BF and ZF-R for the uplink and downlink frame structures, respectively. Then, we can also formulate and solve the optimization problems maximizing the ergodic sum throughputs with respect to the number of users. This paper shows that the approximate downlink sum throughput for the ZF-BF is a concave function and the approximate uplink sum throughput for the ZF-R is also a concave function in a feasible range with respect to the number of users. The simulation results verify the analyses and show that the derived numbersof users provide the maximum sum throughputs for the ZF-BF as well as ZF-R in multiuser MIMO systems with a large number of BS antennas.

Original language | English |
---|---|

Pages (from-to) | 362-369 |

Number of pages | 8 |

Journal | Journal of Communications and Networks |

Volume | 15 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2013 Oct 17 |

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### All Science Journal Classification (ASJC) codes

- Information Systems
- Computer Networks and Communications

### Cite this

*Journal of Communications and Networks*,

*15*(4), 362-369. https://doi.org/10.1109/JCN.2013.000067

}

*Journal of Communications and Networks*, vol. 15, no. 4, pp. 362-369. https://doi.org/10.1109/JCN.2013.000067

**Optimal number of users in zero-forcing based multiuser MIMO systems with large number of antennas.** / Jung, Minchae; Kim, Younsun; Lee, Juho; Choi, Sooyong.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Optimal number of users in zero-forcing based multiuser MIMO systems with large number of antennas

AU - Jung, Minchae

AU - Kim, Younsun

AU - Lee, Juho

AU - Choi, Sooyong

PY - 2013/10/17

Y1 - 2013/10/17

N2 - The optimal number of users achieving the maximum sum throughput is analyzed in zero-forcing (ZF) based multiuser multiple-input multiple-output (MIMO) systems with a large number of base station (BS) antennas. By utilizing deterministic ergodic sum rates for the ZF-beamforming (ZF-BF) and ZF-receiver (ZF-R) with a large number of BS antennas [1], [2], we can obtain the ergodic sum throughputs for the ZF-BF and ZF-R for the uplink and downlink frame structures, respectively. Then, we can also formulate and solve the optimization problems maximizing the ergodic sum throughputs with respect to the number of users. This paper shows that the approximate downlink sum throughput for the ZF-BF is a concave function and the approximate uplink sum throughput for the ZF-R is also a concave function in a feasible range with respect to the number of users. The simulation results verify the analyses and show that the derived numbersof users provide the maximum sum throughputs for the ZF-BF as well as ZF-R in multiuser MIMO systems with a large number of BS antennas.

AB - The optimal number of users achieving the maximum sum throughput is analyzed in zero-forcing (ZF) based multiuser multiple-input multiple-output (MIMO) systems with a large number of base station (BS) antennas. By utilizing deterministic ergodic sum rates for the ZF-beamforming (ZF-BF) and ZF-receiver (ZF-R) with a large number of BS antennas [1], [2], we can obtain the ergodic sum throughputs for the ZF-BF and ZF-R for the uplink and downlink frame structures, respectively. Then, we can also formulate and solve the optimization problems maximizing the ergodic sum throughputs with respect to the number of users. This paper shows that the approximate downlink sum throughput for the ZF-BF is a concave function and the approximate uplink sum throughput for the ZF-R is also a concave function in a feasible range with respect to the number of users. The simulation results verify the analyses and show that the derived numbersof users provide the maximum sum throughputs for the ZF-BF as well as ZF-R in multiuser MIMO systems with a large number of BS antennas.

UR - http://www.scopus.com/inward/record.url?scp=84885393313&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84885393313&partnerID=8YFLogxK

U2 - 10.1109/JCN.2013.000067

DO - 10.1109/JCN.2013.000067

M3 - Article

VL - 15

SP - 362

EP - 369

JO - Journal of Communications and Networks

JF - Journal of Communications and Networks

SN - 1229-2370

IS - 4

ER -