Statistical properties of complex noncentral Wishart matrices and MIMO capacity

IEEE International Symposium on Information Theory - Proceedings

Volumn 2005-January, Issue , 2005, Pages

  McKay, Matthew R ^a,b   Collings, Iain B ^a,b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b CSIRO   (Australia)

Author keywords

Capacity; Correlated; MIMO; Noncentral Wishart distribution; Rician

Indexed keywords

COMPUTATIONALLY EFFICIENT; DERIVE BOUNDS; ERGODIC CAPACITY; MIMO CAPACITY; MIMO CHANNEL; STATISTICAL PROPERTIES; UPPER AND LOWER BOUNDS; WISHART MATRICES;

INFORMATION THEORY;

EID: 84862994925     PISSN: 21578095     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2005.1523444     Document Type: Conference Paper

References (24)

1. E. Teletar, “Capacity of multi-antenna Gaussian channels,” Europ. Trans. Commun., pp. 585-595, Nov-Dec. 1999.
2. P. J. Smith, S. Roy, and M. Shafi, “Capacity of MIMO systems with semicorrelated flat fading,” IEEE Trans. Inform. Theory, vol. 49, no. 10, pp. 2781-2788, Oct 2003.
3. H. Shin and J. H. Lee, “Capacity of multiple-antenna fading channels: Spatial fading correlation, double scattering, and keyhole,” IEEE Trans. Inform. Theory, vol. 49, no. 10, pp. 2636-2647, Oct 2003.
4. M. Kiessling and J. Speidel, “Mutual information of MIMO channels in correlated Rayleigh fading environments - a general solution,” in IEEE Int. Conf. on Commun. (ICC), Paris, France, Jun 2004, pp. 814-818.
5. S. K. Jayaweera and H. V. Poor, “On the capacity of multi-antenna systems in the presence of Rician fading,” in IEEE Veh. Technol. Conf., Vancouver, Canada, Sept 2002, pp. 1963-1967.
6. Y.-H. Kim and A. Lapidoth, “On the log determinant of non-central Wishart matrices,” in IEEE ISIT, Yokohama, Japan, 2003, p. 54.
7. M. Kang and M. S. Alouini, “On the capacity of MIMO Rician channels,” IEEE Trans. Wireless Commun., accepted to appear.
8. A. Tulino, A. Lozano, and S. Verdu, “High-SNR power offset in multi-antenna Ricean channels,” in IEEE Int. Conf. Commun. (ICC), Seoul, Korea, May 2005.
9. M. R. McKay and I. B. Collings, “Capacity bounds for correlated Rician MIMO channels,” in IEEE Int. Conf. on Commun. (ICC), Seoul, Korea, May 2005.
10. X. W. Cui, Q. T. Zhang, and Z. M. Feng, “Generic procedure for tightly bounding the capacity of MIMO correlated Rician fading channels,” IEEE Trans. Commun., vol. 53, no. 5, pp. 890-898, May 2005.
11. A. K. Gupta and D. K. Nagar, Matrix Variate Distributions. Boca Raton: Chapman & Hall/CRC, 2000.
12. A. T. James, “Distributions of matrix variates and latent roots derived from normal samples,” Ann. Math. Statist., vol. 35, pp. 475-501, 1964.
13. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th ed. New York: Dover Publications, 1970.
14. M. R. McKay and I. B. Collings, “General capacity bounds for spatially correlated Rician MIMO channels,” IEEE Trans. Inform. Theory, 2005, accepted to appear.
15. A. G. Constantine, “Some noncentral distribution problems in multivariate analysis,” Ann. Math. Statist., vol. 34, pp. 1270-1285, 1963.
16. A. M. Mathai, Jacobians of Matrix Transformations and Functions of Matrix Arguments. Singapore: World Scientific, 1997.
17. A. C. Aitken, Determinants and Matrices, 9th ed. Edinburgh: Oliver and Boyd, 1956.
18. D. Shiu, G. J. Foschini, M. J. Gans, and J. M. Kahn, “Fading correlation and its effect on the capacity of multielement antenna systems,” IEEE T. Comm., vol. 48, no. 3, pp. 502-513, Mar 2000.
19. C. Chuah, D. N. C. Tse, J. M. Kahn, and R. A. Valenzuela, “Capacity scaling in MIMO wireless systems under correlated fading,” IEEE Trans. Inform. Theory, vol. 48, no. 3, pp. 637-650, Mar 2002.
20. J. P. Kermoal, L. Schumacher, K. I. Pedersen, P. E. Mogensen, and F. Frederiksen, “A stochastic MIMO radio channel model with experimental validation,” IEEE JSAC, vol. 20, no. 6, pp. 1211-1226, 2002.
21. 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.
22. A. Lozano, A. M. Tulino, and S. Verdu, “Multiple-antenna capacity in the low-power regime,” IEEE Trans. Inform. Theory, vol. 49, no. 10, pp. 2527-2544, Oct 2003.
23. D. Asztely, “On antenna arrays in mobile communication systems: Fast fading and GSM base station receiver algorithms,” Tech. Rep. IR-S3-SB-9611, Royal Institute of Techonology, Stockholm, Sweden, 1996.
24. H. Bolcskei, M. Borgmann, and A. J. Paulraj, “Impact of the propagation environment on the performance of space-frequency coded MIMOOFDM,” IEEE J. Select. Areas Commun., vol. 21, no. 3, pp. 427-439, Apr 2003.