Theoretical Analysis of Capacities in Dynamic Spatial Multiplexing MIMO Systems

Authors: Imen Sfaihi, Noureddine Hamdi

Abstract:

In this paper, we investigate the study of techniques for scheduling users for resource allocation in the case of multiple input and multiple output (MIMO) packet transmission systems. In these systems, transmit antennas are assigned to one user or dynamically to different users using spatial multiplexing. The allocation of all transmit antennas to one user cannot take full advantages of multi-user diversity. Therefore, we developed the case when resources are allocated dynamically. At each time slot users have to feed back their channel information on an uplink feedback channel. Channel information considered available in the schedulers is the zero forcing (ZF) post detection signal to interference plus noise ratio. Our analysis study concerns the round robin and the opportunistic schemes. In this paper, we present an overview and a complete capacity analysis of these schemes. The main results in our study are to give an analytical form of system capacity using the ZF receiver at the user terminal. Simulations have been carried out to validate all proposed analytical solutions and to compare the performance of these schemes.

Keywords: MIMO, scheduling, ZF receiver, spatial multiplexing, round robin scheduling, opportunistic.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057353

References:

[1] S. M. Alamouti, "A simple transmit diversity technique for wireless communications," IEEE J. Select. Areas Commun., vol. 16, pp. 1451- 1458, Oct. 1998.
[2] A. F. Molisch, M. Z.Win, and J. H.Winters, "Capacity of MIMO systems with antenna selection," in Proc. IEEE Int. Conf. on Commun., vol. 2, pp. 570-574, 2001.
[3] G. J. Foschini and M. J. Gans, "On limits of wireless communications in a fading environment when using multiple antennas," Wireless Personal Commun., vol. 6, pp. 315-335, Mar. 1998.
[4] P. W. Wolniansky, G. J. Foschini, G. D. Golden, and R. A. Valenzuela, "V-BLAST: an architecture for realizing high data rates over the richscattering wireless channel," in Proc. URSI Int. Symp. Signals, Systems, and Electronics, Pisa, Italy, Sept.-Oct. 1998, pp. 295-300.
[5] Zheng and D. N. C. Tse, "Diversity and multiplexing: A fundamental tradeoff in multiple antenna channels," IEEE Trans. Inf. Th., vol. 49, pp. 1073-1096, May 2003.
[6] R.W. Heath, Jr., S. Sandhu, and A. Paulraj, "Antenna selection for spatial multiplexing with linear receivers," IEEE Comm. Letters, vol. 5, pp. 142-144, April 2001.
[7] R.W. Heath and A. Paulraj, "Switching between diversity and multiplexing in MIMO systems," IEEE Trans. Comm., vol. 53, NO. 6, June 2005.
[8] D. Gore, R. W. H. Jr., and A. Paulraj, "On performance of the zero forcing receiver in presence of transmit correlation," in Proc. IEEE Int. Symp. on Info. Theo., p. 159, 2002.
[9] D. Gore, R. W. Heath, Jr., and A. Paulraj, "Transmit selection in spatial multiplexing systems," IEEE Comm. Letters, vol. 6, pp. 491 -493, Nov. 2002.
[10] Jing Liu, "Linear STBC Design for MIMO Systems with MMSE Receivers" Master Thesis, McMaster University June 2004.
[11] O.-S. Shin and K. B. Lee, "Antenna-assisted round robin scheduling for MIMO cellular systems," IEEE Commun. Lett., vol. 7, pp. 109-111, Mar. 2003.
[12] R. W. Heath, M. Airy, and A. J. Paulraj, "Multiuser diversity for MIMO wireless systems with linear receivers," in Proc. Asilomar Conf. Signals, Systems, and Computers, Pacific Grove, CA, USA, Nov. 2001, pp. 1194-1199.