• Journal of Communications and Networks
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• 제15권4호
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• pp.362-369
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• 2013

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.

• Journal of Communications and Networks
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• 제12권3호
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• pp.222-230
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• 2010

In this paper, we present a closed-form approximation of the average sum rate of zero-forcing (ZF) beamforming (BF) with semi-orthogonal user selection (SUS). We first derive the survival probability associated with the SUS that absolute square of the channel correlation between two users is less than the orthogonalization level threshold (OLT).With this result, each distribution for the number of surviving users at each iteration of the SUS and the number of streams for transmission is calculated. Secondly, the received signal power of ZF-BF is represented as a function of the elements of the upper triangular matrix from QR decomposition of the channel matrix. Thirdly, we approximate the received signal power of ZF-BF with the SUS as the maximum of scaled chisquare random variables where the scaling factor is approximated as a function of both OLT and the number of users in the system. Putting all the above derivations and order statistics together, the approximated ergodic sum rate of ZF-BF with the SUS is shown in a closed form. The simulation results verify that the approximation tightly matches with the sample average for any OLT and even for a small number of users.

• 대한전자공학회논문지TC
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• 제45권10호
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• pp.1-9
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• 2008

본 논문에서는 반직교 기반 사용자 선정과 제로 포싱(zero-forcing) 빔 형성에 기반한 간단하면서도 효율적인 세 셀 단위 셀 협력 전송 방법을 제안한다. 육각 셀룰라 시스템 모델에서 각 셀마다 두 그룹의 사용자를 갖는 와이너 (Wyner) 채널 모델에 대해서, 제안한 제로-포싱 협력 전송 방식의 합 전송율의 상계치는 송신 안테나 수와 사용자수의 이중 로거리듬(logarithm)에 비례함을 보인다. 모의 실험 결과는 제안된 협력 전송 방식의 효율성을 확증하며, 사용자 수에 따른 합 전송율은 상계치와 거의 같음을 확인할 수 있다.