Optimum transmit-receive beamforming with noisy channel estimates for correlated MIMO Rayleigh channels

IEEE Transactions on Communications

Volumn 56, Issue 11, 2008, Pages 1869-1880

  Nagvanshi, Preeti ^a   Masry, Elias ^a   Milstein, Laurence B ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Channel estimation; Correlated MIMO; Probability of error; Rayleigh fading

Indexed keywords

BEAMFORMING; FADING (RADIO); FADING CHANNELS; MIM DEVICES; MULTIPLEXING; PROBABILITY; RANDOM PROCESSES; RAYLEIGH FADING; STRUCTURAL OPTIMIZATION; TRANSMITTERS;

CHANNEL ESTIMATION ACCURACIES; CLOSED FORMS; CORRELATED MIMO; DIVERSITY ORDERS; FEEDBACK CHANNELS; JOINT EFFECTS; NOISY CHANNEL ESTIMATES; PILOT SYMBOLS; PROBABILITY OF ERROR; PROBABILITY OF ERRORS; RAYLEIGH CHANNELS; RAYLEIGH FADING CHANNELS; RECEIVE BEAMFORMING; SPATIAL CORRELATIONS; SYSTEM PERFORMANCES; TRANSMITTER AND RECEIVERS;

CHANNEL ESTIMATION;

EID: 57449091274     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOMM.2008.050610     Document Type: Article

References (31)

1. I. E. Telatar, "Capacity of multi-antenna Gaussian channels," European Trans. Telecommun., vol. 10, pp. 585-595, Nov/Dec 1999.
2. T. K. Y. Lo, "Maximum ratio transmission," IEEE Trans. Commun., vol. 47, no. 10, pp. 1458-1461, Oct. 1999.
3. P. A. Dighe, R. K. Mallik and S. S. Jamuar, "Analysis of transmit-receive diversity in Rayleigh fading," IEEE Trans. Commun. vol. 51, no. 4, pp. 694-703, Apr. 2003.
4. L. Tong, B. M. Sadler, and M. Dong, "Pilot-assisted wireless transmissions: General model, design criteria, and signal processing," IEEE Signal Processing Mag., vol. 21, no. 6, pp. 12-25, Nov. 2004.
5. M. Kang and M. S. Alouini, "Impact of correlation on the capacity of MIMO channels," in Proc. IEEE International Conference on Communications, vol. 4, pp. 2623-2627, May 2003.
6. S. A. Jafar and A. Goldsmith, "Multiple-antenna capacity in correlated Rayleigh fading with channel covariance information," IEEE Trans. Wireless Commun., vol. 4, no. 3, pp. 990-997, May 2005.
7. M. Chiani, M. Z. Win, and A. Zanella, "On the capacity of spatially correlated MIMO Rayleigh-fading channels," IEEE Trans. Inform. Theory, vol. 49, no. 10, pp. 2363-2371, Oct. 2003.
8. S. A. Jafar and A. Goldsmith, "Transmitter optimization and optimality of beamforming for multiple antenna systems,"IEEE Trans. Wireless Commun., vol. 3, no. 4, pp. 1165-1175, July 2004.
9. B. Hassibi and B. M. Hochwald, "How much training is needed in multiple-antenna wireless links?," IEEE Trans. Inform. Theory, vol. 49, no. 4, pp. 951-963, Apr. 2003.
10. J. H. Kotecha and A. M. Sayeed, "Transmit signal design for optimal estimation of correlated MIMO channels," IEEE Trans. Signal Processing, vol. 52, no. 2, pp. 546-557, Feb. 2004.
11. S. Serbetli, S. Bethanabhotla, and A. Yener, "The effect of channel estimation on transceiver design for MIMO systems with QoS constraints," in Proc. 38th Ann. Conf. on Information Sciences and Sys., Mar. 2004.
12. S. Serbetli and A. Yener, "Transmission strategies for correlated MIMO links with imperfect channel estimates," in Proc. IEEE International Conf. on Communications, vol. 2, pp. 767-771, May 2005.
13. S. Serbetli and A. Yener, "MMSE transmitter design for correlated MIMO systems with imperfect channel estimates: Power allocation trade-offs," IEEE Trans. Wireless Commun., vol. 5, no. 8, pp. 2295-2304, Aug. 2006.
14. P. Nagvanshi, E. Masry, and L. B. Milstein, "The effect of channel estimation errors on transceiver optimization for correlated MIMO Rayleigh channels," in Proc. 39th Ann. Conf. on Information Sciences and Sys., Mar. 2005.
15. A. Abdi and M. Kaveh, "A space-time correlation model for multi-element antenna systems in mobile fading channels," IEEE J. Select. Areas Commun., vol. 20, no. 3, pp. 550-560, Apr. 2002.
16. K. Yu and B. Ottersten, "Models for MIMO propagation channels, a review," Wiley Journal on Wireless Commun. and Mobile Computing, vol. 2, no. 7, pp. 653-666, Nov. 2002 (special issue on adaptive antennas and MIMO systems).
17. H. Lütkepohl, Handbook of Matrices. John Wiley & Sons, 1996.
18. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Upper Saddle River, NJ: Prentice Hall, 1993.
19. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1999.
20. P. Nagvanshi "Analysis of multiple antenna ultra-wideband and millimeter wave communication systems," Ph.D. dissertation, Univ. California, San Diego, 2007.
21. A. T. James, "Distributions of matrix variates and latent roots derived from normal samples," The Ann. Math. Stat., vol. 35, pp. 475-501, June 1964.
22. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, ninth printing, 1970.
23. H. Gao and P. J. Smith, "A determinant representation for the distribution of quadratic forms in complex normal vectors," J. Multivariate Anal., vol. 73, no. 2, pp. 155-165, May 2000.
24. M. Kang and M. S. Alouini, "Largest eigenvalue of complex wishart matrices and performance analysis of MIMO MRC systems," IEEE J. Select. Areas Commun., vol. 21, no. 3, pp. 418-426, Apr. 2003.
25. M. Kang and M. S. Alouini, "Quadratic forms in complex gaussian matrices and performance analysis of MIMO systems with cochannel interference," IEEE Trans. Wireless Commun., vol. 3, no. 2, pp. 418-431, Mar. 2004.
26. C. G. Khatri, "On the moments of traces of two matrices in three situations for complex multivariate normal populations," Sankhya: The Indian Journal of Statistics: Series A, vol. 32, pp. 65-80, 1970.
27. J. D. Kraus, Antennas, 2nd ed. New York: McGraw-Hill, 1988.
28. A. S. Y. Poon, R. W. Brodersen and D. N. C. Tse, "Degrees of freedom in multiple-antenna channels: A signal space approach," IEEE Trans. Inform. Theory, vol. 51, no. 2, pp. 523-536, Feb. 2005.
29. K. Fujimoto and J. R. James, Mobile Antenna Systems Handbook, 2nd edition. Artech House, 2001.
30. M. A. Golberg, "The derivative of a determinant," The American Math. Monthly, vol. 79, no. 10, pp. 1124-1126, Dec. 1972.
31. M. S. Alouini and M. K. Simon, "An MGF-based performance analysis of generalized selection combining over Rayleigh fading channels," IEEE Trans. Commun., vol. 48, no. 3, pp. 401-415, Mar. 2000.