Journal of Communications and Networks

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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Optimal Number of Users in Zero-Forcing Based Multiuser MIMO Systems with Large Number of Antennas

  • Jung, Minchae (School of Electrical and Electronic Engineering, Yonsei University) ;
  • Kim, Younsun (DMC R&D Center, Samsung Electronics) ;
  • Lee, Juho (DMC R&D Center, Samsung Electronics) ;
  • Choi, Sooyong (School of Electrical and Electronic Engineering, Yonsei University)
  • Received : 2013.02.15
  • Published : 2013.08.31
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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-beam forming (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 numbers of 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.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

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