Browse > Article
http://dx.doi.org/10.7840/kics.2016.41.11.1630

Optimal Numbers of Base Station Antennas and Users in Multiuser Massive MIMO Systems with Pilot Overhead  

Jung, Minchae (School of Electrical and Electronic Engineering, Yonsei University)
Choi, Sooyong (School of Electrical and Electronic Engineering, Yonsei University)
Abstract
In this paper, we consider multiuser massive multiple-input and multiple-output (MIMO) system where multiusers simultaneously utilize massive antennas of base station (BS). With a downlink frame structure considering pilot signals, we derive the ergodic cell capacity based on zero-forcing beamforming (ZFBF) technique. This paper proves that the ergodic cell capacity is concave function with respect to the numbers of BS antennas and users, and derives the optimum numbers of BS antennas and users maximizing ergodic cell capacity. From the simulation results, it is shown that the derived numbers of BS antennas and users has the optimum value for the maximum ergodic cell capacity, and the ergodic cell capacity with the derived optimum values increases with respect to the transmit SNR(Signal to Noise Ratio).
Keywords
Multiuser; Massive MIMO; Ergodic Capacity; Zero-Forcing Beamforming (ZFBF); Pilot Overhead;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 G. Lee, Y. Sung, J. So, and J. Seo, "Research trend for 5G massive MIMO realization (5G Massive MIMO 실현을 위한 연구 동향)," Mag. IEIE, vol. 42, no. 10, pp. 858-876, Oct. 2015.
2 A. J. Paulraj and T. Kailath, Increasing capacity in wireless broadcast systems using distributed transmission/directional reception, U.S. Patent, no. 5,345,599, 1994.
3 I. E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, Nov./Dec. 1999.   DOI
4 H. Ngo, E. Larsson, and T. Marzetta, "Energy and spectral efficiency of very large multiuser MIMO systems," IEEE Trans. Commun., vol. 61, no. 4, pp. 1436-1449, Feb. 2013.   DOI
5 C. Peel, B. Hochwald, and A. Swindelhurst, "A vector-perturbation technique for nearcapacity multiantenna multiuser communicationpart I: channel inversion and regularization," IEEE Trans. Commun., vol. 53, no. 1, pp. 195-202, Jan. 2005.   DOI
6 F. Rusek, D. Persson, B. Lau, E. Larsson, T. Marzetta, O. Edfors, and F. Tufvesson, "Scaling up MIMO: opportunities and challenges with very large arrays," IEEE Sign. Process. Mag., vol. 30, no. 1, pp. 40-60, Jan. 2013.   DOI
7 T. Yoo and A. Goldsmith, "On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming," IEEE J. Sel. Areas in Commun., vol. 24, no. 3, pp. 528-541, Mar. 2006.   DOI
8 C. Chae, S. Shim, and R. Heath, "Block diagonalized vector perturbation for multiuser MIMO systems," IEEE Trans. Wireless Commun., vol. 7, no. 11, pp. 4051-4057, Nov. 2008.   DOI
9 H. Sung, S. Lee, and I. Lee, "Generalized channel inversion methods for multiuser MIMO systems," IEEE Trans. Commun., vol. 57, no. 11, pp. 3489-3499, Nov. 2009.   DOI
10 T. Marzetta, "Noncooperative cellular wireless with unlimited numbers of base station antennas," IEEE Trans. Wireless Commun., vol. 9, no. 11, pp. 3590-3600, Nov. 2010.   DOI
11 Y. Lim, C. Chae, and G. Caire, "Performance analysis of massive MIMO for cell-boundary users," IEEE Trans. Wireless Commun., vol. 14, no. 12, pp. 6827-6842, Dec. 2015.   DOI
12 K. Min, M. Jung, T. Kim, Y. Kim, J. Lee, and S. Choi, "Pilot power ratio for uplink sum-rate maximization in zero-forcing based MUMIMO systems with large number of antennas," in Proc. IEEE VTC Fall, Las Vegas, USA, Sept. 2013.
13 M. Jung, T. Kim, K. Min, Y. Kim, J. Lee, and S. Choi, "Asymptotic distribution of system capacity in multiuser MIMO systems with large number of antennas," in Proc. IEEE VTC Spring, pp. 1-5, Dresden, Germany, Jun. 2013.
14 B. Hochwald and S. Vishwanath, "Space-time multiple access: Linear growth in the sum rate," in Proc. 40th Annu. Allerton Conf. Commun., Contr. Comput., Monticello, IL, Oct. 2002.
15 S. Wagner, R. Couillet, M. Debbah, and D. Slock, "Large system analysis of linear precoding in correlated MISO broadcast channels under limited feedback," IEEE Trans. Inf. Theory, vol. 58, no. 7, Jul. 2012.
16 M. Jung, Y. Kim, J. Lee, and S. Choi, "Optimal number of users in zero-forcing based multiuser MIMO systems with large number of antennas," J. Commun. and Networks (JCN), vol. 49, no. 4, pp. 362-369, Aug. 2013.
17 M. Jung and S. Choi, "Optimal number of base station antennas and users in MF based multiuser massive MIMO systems," J. KICS, vol. 38A, no. 08, pp. 724-732, Aug. 2013.   DOI
18 R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, "On the lambert w-function," Advances in Computational Math., vol. 5, no. 1, pp. 329-359, Dec. 1996.   DOI
19 3GPP TS 36.211 v8.6.0, Physical channels and modulation (Release 8), Mar. 2009.