On the capacity of spatially correlated MIMO Rayleigh-fading channels

IEEE Transactions on Information Theory

Volumn 49, Issue 10, 2003, Pages 2363-2371

  Chiani, Marco ^a   Win, Moe Z ^b   Zanella, Alberto ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Eigenvalues distribution; Multiple antennas; Multiple input multiple output (MIMO); Rayleigh fading channels; Shannon capacity; Wishart matrices

Indexed keywords

ANTENNAS; CHANNEL CAPACITY; COMMUNICATION CHANNELS (INFORMATION THEORY); CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; RAYLEIGH FADING;

EIGENVALUES DISTRIBUTION; MULTIPLE ANTENNAS; MULTIPLE INPUT MULTIPLE OUTPUT SYSTEMS; SHANNON CAPACITY; WISHART MATRICES;

WIRELESS TELECOMMUNICATION SYSTEMS;

EID: 0242365588     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2003.817437     Document Type: Article

References (31)

1. J. H. Winters, J. Salz, and R. D. Gitlin, "The impact of antenna diversity on the capacity of wireless communication systems," IEEE Trans. Commun., vol. 42, pp. 1740-1751, Feb./Mar./Apr. 1994.
2. J. H. Winters, "On the capacity of radio communication systems with diversity in Rayleigh fading environment," IEEE J. Select. Areas Commun., vol. JSAC-5, pp. 871-878, June 1987.
3. G. J. Foschini, "Layered space-time architecture for wireless communication a fading environment when using multiple antennas," Bell Labs Tech. J., vol. 1, no. 2, pp. 41-59, Autumn 1996.
4. 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, no. 3, pp. 311-335, Mar. 1998.
5. V. Tarokh, N. Seshadri, and A. R. Calderbank, "Space-time codes for high data rate wireless communication: Performance criterion and code construction," IEEE Trans. Inform. Theory, vol. 44, pp. 744-765, Mar. 1998.
6. B. Hassibi and B. M. Hochwald, "High-rate codes that are linear in space and time," IEEE Trans. Inform. Theory, vol. 48, pp. 1804-1824, July 2002.
7. N. Boubaker, K. B. Letaief, and R. D. Murch, "Performance of BLAST over frequency-selective wireless communication channels," IEEE Trans. Commun., vol. 50, pp. 196-199, Feb. 2002.
8. A. Lozano and C. Papadias, "Layered space-time receivers for frequency-selective wireless channels," IEEE Trans. Commun., vol. 50, pp. 65-73, Jan. 2002.
9. A. Zanella, M. Chiani, M. Z. Win, and J. H. Winters, "Symbol error probability of high spectral efficiency MIMO systems," in Proc. Conf. Information Scences and Systems, Princeton, NJ, Mar. 2002.
10. X. Zhu and R. D. Murch, "Performance analysis of maximum likelihood detection in a MIMO antenna system," IEEE Trans. Commun., vol. 50, pp. 187-191, Feb. 2002.
11. E. Telatar, "Capacity of multi-antenna Gaussian channels," Europ. Trans. Telecomm., vol. 10, no. 6, pp. 585-595, Nov.-Dec. 1999.
12. T. L. Marzetta and B. M. Hochwald, "Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading," IEEE Trans. Inform. Theory, vol. 45, pp. 139-157, Jan. 1999.
13. P. J. Smith and M. Shafi, "On a Gaussian approximation to the capacity of wireless MIMO systems," in Proc. IEEE Int. Conf. Communications, vol. 1, New York, NY, May 2002, pp. 406-410.
14. D.-S. Shiu, G. J. Foschini, M. J. Gans, and J. M. Kahn, "Fading correlation and its effect on the capacity of multielement antenna systems," IEEE Trans. Commun., vol. 48, pp. 502-513, Mar. 2000.
15. A. Abdi and M. Kaveh, "A space-time correlation model for multielement antenna systems in mobile fading channels," IEEE J. Select. Areas Commun., vol. 20, pp. 550-560, Apr. 2002.
16. S. Loyka and G. Tsoulos, "Estimating MIMO system performance using the correlation matrix approach," IEEE Commun. Lett., vol. 6, pp. 19-21, Jan. 2002.
17. R. A. Horn and C. R. Johnson, Matrix Analysis, 1st ed. Cambridge, U.K.: Cambridge Univ. Press, 1990.
18. R. A. Fisher, "Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population," Biometrika, vol. 10, pp. 507-521, 1915.
19. J. Wishart, "The generalized product moment distribution in samples from a normal multivariate population," Biometrika, vol. 20A, pp. 32-52, 1928.
20. ____, "Proofs of the distribution law of the second order moment statistics," Biometrika, vol. 35, pp. 55-57, 1948.
21. A. T. James, "Distributions of matrix variates and latent roots derived from normal samples," Ann. Math. Statist., vol. 35, pp. 475-501, 1964.
22. M. Chiani, M. Z. Win, A. Zanella, R. K. Mallik, and J. H. Winters, "Bounds and approximations for optimum combining of signals in the presence of multiple co-channel interferers and thermal noise," IEEE Trans. Commun., vol. 51, pp. 296-307, Feb. 2003.
23. C. G. Khatri, "On the moments of traces of two matrices in three situations for complex multivariate normal populations," Sankhya, The Indian J. Statist., Ser. A, vol. 32, pp. 65-80, 1970.
24. H. Gao, P. J. Smith, and M. V. Clark, "Theoretical reliability of MMSE linear diversity combining in Rayleigh-fading additive interference channels," IEEE Trans. Commun., vol. 46, pp. 666-672, May 1998.
25. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Washington, D.C.: U. S. Dept. Commerce, 1970.
26. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic, 1994.
27. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, 1st ed. Cambridge, U.K.: Cambridge Univ. Press, 1994.
28. V. A. Aalo, "Performance of maximal-ratio diversity systems in a correlated Nakagami-fading environment," IEEE Trans. Commun., vol. 43, pp. 2360-2369, Aug. 1995.
29. J. Salz and J. H. Winters, "Effect of fading correlation on adaptive arrays in digital mobile radio," IEEE Trans. Veh. Technol., vol. 43, pp. 1049-1057, Nov. 1994.
30. P. D. Lax, Linear Algebra, 1st ed. New York: Wiley, 1996.
31. M. C. Andréief, "Note sur une relation entre les intégrales définies des produits des fonctions," Mém. de la Soc. Sci. de Bordeaux, vol. 2, pp. 1-14, 1883.