Effect of Channel Estimation on Capacity of MIMO System Employing Circular or Linear Receiving Array Antennas
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.
[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
[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
@article{"International Journal of Electrical, Electronic and Communication Sciences:50664", author = "Xia Liu and Marek E. Bialkowski", title = "Effect of Channel Estimation on Capacity of MIMO System Employing Circular or Linear Receiving Array Antennas", abstract = "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 capacity, channel estimation, ULA,UCA, spatial correlation", volume = "3", number = "4", pages = "624-11", }
