Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31100
Effect of Channel Estimation on Capacity of MIMO System Employing Circular or Linear Receiving Array Antennas

Authors: Xia Liu, Marek E. Bialkowski


This paper reports on investigations into capacity of a Multiple Input Multiple Output (MIMO) wireless communication system employing a uniform linear array (ULA) at the transmitter and either a uniform linear array (ULA) or a uniform circular array (UCA) antenna at the receiver. The transmitter is assumed to be surrounded by scattering objects while the receiver is postulated to be free from scattering objects. The Laplacian distribution of angle of arrival (AOA) of a signal reaching the receiver is postulated. Calculations of the MIMO system capacity are performed for two cases without and with the channel estimation errors. For estimating the MIMO channel, the scaled least square (SLS) and minimum mean square error (MMSE) methods are considered.

Keywords: mimo, Channel Estimation, spatial correlation, channel capacity, ULA, UCA

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1081


[1] J. Tsai, R. M. Buehrer and B. D. Woerner, "BER performance of a uniform circular arrays versus a uniform linear array in a mobile radio environment", IEEE Trans. on wireless comms., Vol. 3, No. 3, pp. 695-700, May 2004
[2] X. Liu, S. Lu, M. E. Bialkowski and H.T. Hui, "MMSE Channel estimation for MIMO system with receiver equipped with a circular array antenna", Proc. 2007 Asia Pacific Microwave Conference, APMC2007, pps. 1-4, Dec. 2007
[3] E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun, vol. 10, no. 6, pp. 585-596, Nov. 1999
[4] T. L. Marzetta and B. M. Hochwald, "Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading," IEEE Trans. Information Theory, vol. 45, no. 1, pp. 139-157, Jan. 1999
[5] A. Narula, M. J. Lopez, M. D. Trott, and G. W. Wornell, "Efficient use of side information in multiple-antenna data transmission over fading channels," IEEE J. Select. Areas Commun., vol. 16, no. 8, pp. 1423-1436, Oct. 1998
[6] C. Budianu and L. Tong, "Channel estimation for space-time orthogonal block codes", IEEE Trans. Signal Process., Vol. 50, pp. 2515-2528, Oct, 2002
[7] M. Biguesh and A. B. Gershman, "MIMO channel estimation: optimal training and tradeoffs between estimation techniques," Proc. ICC-04, Paris, France, June 2004
[8] M. Biguesh and A. B. Gershman, "Training-based MIMO channel estimation: a study of estimator tradeoffs and optimal training signals," IEEE Trans. Signal Processing, Vol. 54, No. 3, Mar. 2006
[9] J. Tsai, R. M. Buehrer and B. D. Woerner, "Spatial fading correlation function of circular antenna arrays with Laplacian Energy distribution," IEEE Comms. Letters, Vol. 6, No. 5, pps.178-180, May 2002
[10] J. Tsai, R. M. Buehrer and B. D. Woerner, "The impact of AOA energy distribution on the spatial fading correlation of linear antenna array", Vol. 2, pp. 933-937, IEEE 5th VTC, May 2002
[11] E. G. Larsson and P. Stoica, "Space-time block coding for wireless communication", Cambridge University Press, 2003
[12] C. N. Chuah, D. N. C. Tse, and J. M. Kahn, "Capacity scaling in MIMO wireless systems under correlated fading," IEEE Trans. Information Theory, vol. 48, pp. 637-650, Mar. 2002
[13] W. C. Jakes, Microwave Mobile Communications, New York: John Wiley & Sons, 1974
[14] D, Shiu, J. Foschini, M. J. Gans and J. M. Kahn, "Fading correlation and its effect on the capacity of multielemnt antenna system," IEEE Trans. on Commun., vol 48, no. 3, Mar. 2000
[15] S. M. Kay, "Fundamentals of Statistic Signal Processing: Estimation Theory", Prentice-Hall, Inc., 1993
[16] T. Yoo, A. Goldsmith, "Capacity and power allocation for fading MIMO channels with channel estimation error", IEEE Trans. Information Theory, vol. 52, No.5, May 2006
[17] T. Yoo, A. Goldsmith, "Capacity of fading MIMO channels with channel estimation error", IEEE Int. Conf. on Communications, vol. 2, pp. 808-813, Jun. 2004
[18] M. Torabi, M. R. Soleymani and S. Aissa, "On the performance of MIMO-OFDM systems with imperfect channel information," Int. Conf. on wireless networks, communications and mobile computing, vol. 1, pp. 600-605, June 2005
[19] M. Medard, "The effect upon channel capacity in wireless communications of perfect and imperfect knowledge of the channel," IEEE Trans. Information Theory, vol. 46, pp. 933-946, May 2000
[20] X. Liu, M. E. Bialkowski and S. Lu, "Investigations into Training-Based MIMO Channel Estimation for Spatial Correlated Channels", Proc IEEE AP-S Symposium, Hawaii, USA, 2007