Performance Analysis of the MRC Decoder for a Massive MIMO System
Abstract: Based on a massive multiple-input, multiple-output (MIMO) uplink system, the pair-wise error probability (PEP) of the maximal ratio combining (MRC) decoder on the receiver is analyzed. The channel is assumed to be slow flat fading, and the base station (BS) knows the instant channel state information. Firstly, the MRC decoder is defined for the system. Secondly, a formula calculating the PEP of the system with the decoder is derived. Thirdly, asymptotic analyses of the PEP based on two different situations are given. These analyses reveal facts: 1) The PEP cannot go to zero even when signal-to-noise (SNR) goes to infinity; 2) The PEP goes to zero when the number of antennas at BS is increased to infinity and SNR is fixed. Finally, power scale law on PEP is discussed. Numerical simulations firm the above conclusions.
文章引用: 王海泉 , 吴鹏云 , 金瑜瑜 , 沈 雷 (2014) 大规模天线系统中MRC解码法的性能分析。 无线通信， 4， 126-135. doi: 10.12677/HJWC.2014.46020
 谢, 维斯瓦纳斯 (2009) 无线通信基础. 人民邮电出版社, 北京.
 Kang, H.G., Park, J., An, T., et al. (2007) An ML decoding algorithm with reduced complexity for multi-input multi-output systems. Signals, Systems and Elec-tronics, Montreal, Que, 30 July-2 August 2007, 339-342.
 Weingarten, H., Steinberg, Y. and Shamai, S. (2006) The capacity region of the Gaussian multiple-input multiple- output broadcast channel. IEEE Transactions on Infor-mation Theory, 52, 3936-3964.
 Marzetta, T.L. (2010) Noncooperative cellular wireless with unlimited numbers of base station antennas. IEEE Transactions on Wireless Communications, 9, 3590-3600.
 Rusek, F., Persson, D., Lau, B.K., et al. (2013) Scaling up MIMO: Opportunities and challenges with very large arrays. Signal Processing Magazine, IEEE, 30, 40-60.
 Bjornson, E., Kountouris, M. and Debbah, M. (2013) Massive MIMO and small cells: Improving energy efficiency by optimal soft-cell coordination. Telecommunications, Casablanca, 6-8 May 2013, 1-5.
 Larsson, E.G., Edfors, O., Tufvesson, F., et al. (2014) Massive MIMO for next generation wireless systems. Communications Magazine, IEEE, 52, 186-195.
 王海荣, 王玉辉, 黄永明, 等 (2013) 大规模MIMO多小区TDD系统中的导频污染减轻方法. 信号处理, 2, 171-180.
 Ngo, H.Q., Larsson, E.G. and Marzetta, T.L. (2013) Energy and spectral efficiency of very large multiuser MIMO systems. IEEE Transactions on Communications, 61, 1436-1449.
 Yang, H. and Marzetta, T.L. (2013) Performance of conjugate and zero-forcing beamforming in large-scale antenna systems. IEEE Journal on Selected Areas in Communications, 31, 172-179.
 李菊芳, 赵睿, 江彬, 等 (2014) 基于大规模天线的多用户MISO下行链路频谱效率分析. 通信学报, 2, 125-136.
 Fehske, A., Fettweis, G., Malmodin, J., et al. (2011) The global footprint of mobile communications: The ecological and economic perspective. Communications Magazine, IEEE, 49, 55-62.
 Kim, N., Lee, Y. and Park, H. (2008) Performance analysis of MIMO system with linear MMSE receiver. IEEE Transactions on Wireless Communications, 7, 4474-4478.
 Ngo, H.Q., Duong, T.Q. and Larsson, E.G. (2011) Uplink performance analysis of multicell MU-MIMO with zero-forcing receivers and perfect CSI. Communication Technologies Workshop, Stockholm, 19-21 October 2011, 40-45.
 Wang, H.Q., Chen, R.M. and Shen, L. (2012) Performance analysis of ZF and MMSE re-ceivers in uplink of MU-MIMO system. Communications in China, Beijing, 15-17 August 2012, 114-119.
 Wu, M.W., Lin, X.Z. and Kam, P.Y. (2011) New exponential lower bounds on the gaussian Q-function via Jensen’s in-equality. Vehicular Technology Conference, Yokohama, 15-18 May 2011, 1-5.