Asymptotic eigenvalue distributions and capacity for MIMO channels under correlated fading

IEEE Transactions on Wireless Communications

Volumn 3, Issue 4, 2004, Pages 1350-1359

  Martin, Cristoff ^a   Ottersten, Björn ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Asymptotic analysis; Channel capacity; Correlated fading; Eigenvalue distribution; Multi input; Multi output (MIMO

Indexed keywords

ANTENNAS; CHANNEL CAPACITY; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FADING (RADIO); MATHEMATICAL TRANSFORMATIONS; MULTIPLEXING; STATISTICAL METHODS; TRANSCEIVERS; TRANSMITTERS;

ASYMPTOTIC ANALYSIS; CORRELATED FADING; EIGENVALUE DISTRIBUTIONS; MULTI-INPUT MULTI-OUTPUT (MIMO);

WIRELESS TELECOMMUNICATION SYSTEMS;

EID: 3142658962     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2004.830856     Document Type: Article

References (30)

1. T. M. Cover and J. A. Thomas, Elements of Information Theory: Wiley-Interscience, 1991.
2. E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, Nov./Dec. 1999.
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, no. 3, pp. 311-335, Mar. 1998.
4. C.-N. Chuah, D. Tse, J. M. Kahn, and R. A. Valenzuela, "Capacity scaling in MIMO wireless systems under correlated fading," IEEE Trans. Inform. Theory, vol. 48, pp. 637-650, Mar. 2002.
5. G. G. Raleigh and J. M. Cioffi, "Spatio-temporal coding for wireless communication," IEEE Trans. Commun., vol. 46, no. 3, pp. 357-366, Mar. 1998.
6. T. W. Anderson, An Introduction to Multivariate Statistical Analysis, 2nd ed. New York: Wiley, 1984.
7. A. Edelman, "Eigenvalues and condition numbers of random matrices," Ph.D. dissertation, Massachusetts Inst. Technol., Cambridge, MA, 1989.
8. R. R. Müller, "On the asymptotic eigenvalue distribution of concatenated vector-valued fading channels," IEEE Trans. Inform. Theory, pp. 2086-2091, July 2002.
9. _, "A random matrix model of communication via antenna arrays," IEEE Trans. Inform. Theory, pp. 2495-2506, Sept. 2002.
10. T. W. Anderson, "Asymptotic theory for principal component analysis," Ann. Math. Statist., vol. 34, pp. 122-148, 1963.
11. R. P. Gupta, "Asymptotic theory for principal component analysis in the complex case," J. Ind. Stat. Assoc., vol. 3, no. 283, pp. 97-106, 1965.
12. P. Stoica and T. Söderström, "Eigenelement statistics of sample covariance matrix in the correlated data case," Dig. Signal Processing, vol. 7, no. 2, pp. 136-143, Apr. 1997.
13. C. Martin and B. Ottersten, "Analytic approximations of eigenvalue moments and mean channel capacity for MIMO channels," in Proc. Int. Conf. Acoustics, Speech, and Signal Processing, May 2002, pp. III-2389-III-2392.
14. G. J. Foschini, "Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas," Bell Labs Tech. J., pp. 41-59, Autumn 1996.
15. 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. 502-512, Mar. 2000.
16. S. Loyka and A. Kouki, "New compound upper bound on MIMO channel capacity," IEEE Commun. Lett., vol. 6, pp. 96-98, Mar. 2002.
17. S. L. Loyka, "Channel capacity of MIMO architecture using the exponential correlation matrix," IEEE Commun. Lett., vol. 5, pp. 369-371, Sept. 2001.
18. C. S. Withers and R. Vaughan, "The distribution and percentiles of channel capacity for multiple arrays," in Proc. 11th Virginia Tech/MPRG Symp. Wireless Personal Communications, 2001, pp. 141-152.
19. A. Graham, Kronecker Products and Matrix Calculus: With Applications. Chichester, U.K.: Ellis Horwood, 1981.
20. A. L. Moustakas, H. U. Baranger, L. Balents, A. M. Sengupta, and S. H. Simon, "Communication through a diffuse medium: Coherence and capacity," Science, vol. 287, pp. 287-290, Jan. 2000.
21. K. I. Pedersen, J. B. Andersen, J. P. Kermoal, and P. Mogensen, "A stochastic multiple-input-multiple-output radio channel model for evaluation of space-time coding algorithms," in Proc. Vehicular Technology Conf., 2000, pp. 893-897.
22. K. Yu, M. Bengtsson, B. Ottersten, P. Karlsson, and M. Beach, "Second order statistics of NLOS indoor MIMO channels based on 5.2 GHz measurements," in Proc. IEEE Global Telecommunications Conf., 2001, pp. 156-160.
23. T. S. Ferguson, A Course in Large Sample Theory. London, U.K.: Chapman & Hall, 1996.
24. Q. H. Spencer and A. L. Swindlehurst, "Some results on channel capacity when using multiple antennas," in Proc. Vehicular Technology Conf., 2000, pp. 681-688.
25. R. Stridh, P. Karlsson, and B. Ottersten, "MIMO channel capacity on a measured indoor radio channel at 5.8 GHz," in Proc. Asilomar Conf. Signals, Systems Computers, Oct. 2000, pp. 733-737.
26. B. Porat, Digital Processing of Random Signals. Englewood Cliffs, NJ: Prentice-Hall, 1994.
27. D. P. McNamara, M. A. Beach, and P. Fletcher, "Initial characterization of multiple-input multiple-output (MIMO) channels for space-time communication," in Proc. Vehicular Technology Conf., vol. 3, Fall 2000, pp. 1193-1197.
28. M. Bengtson, K. Yu, and B. Ottersten. (2001, Nov.) "Single and dual multi-sensor channel characterization - Analysis and models", IST-SATURN, Tech. Rep. [Online]. Available: http://www.ist-saturn. org
29. P. H. M. Janssen and P. Stoica, "On the expectation of the product of four matrix-valued gaussian random variables," IEEE Trans. Automat. Contr., vol. 33, pp. 867-870, Sept. 1988.
30. H. Cramér, Mathematical Methods of Statistics. Princeton, NJ: Princeton Univ. Press, 1946.