Shannon transform of certain matrix products

IEEE International Symposium on Information Theory - Proceedings

Volumn , Issue , 2007, Pages 1646-1650

  Letzepis, Nick ^a   Grant, Alex ^a  

^a UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

HYPERGEOMETRIC FUNCTIONS; INTERNATIONAL SYMPOSIUM;

CYBERNETICS; INFORMATION THEORY; MATHEMATICAL TRANSFORMATIONS; MONTE CARLO METHODS; TECHNICAL PRESENTATIONS;

MATRIX ALGEBRA;

EID: 51649090640     PISSN: 21578101     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2007.4557458     Document Type: Conference Paper

References (23)

1. A. M. Tulino and S. Verdú, Random Matrix Theory and Wireless Communications. Hanover, USA: now Publishers Inc., 2004.
2. E. Teletar, "Capacity of multi-antenna Gaussian channels," Euro. Trans. Telecommunications, vol. 10, pp. 585-595, 1999.
3. T. Cover and J. Thomas, Elements of Information Theory. New York: Wiley, 1991.
4. C.-N. Chuah, D. N. C. Tse, J. M. Kahn, and R. A. Valenzuela, "Capacity scaling in MIMO wireless systems under correlated fading," IEEE Trans. on Inform. Theory, vol. 48, no. 2, pp. 637-650, March 2002.
5. M. Chiani, M. Z. Win, and A. Zanella, "On the capacity of spatially correlated MIMO Rayleigh-fading channels," IEEE Trans. on Inform. Theory, vol. 49, no. 10, pp. 2363-2371, October 2003.
6. A. L. Moustakas, S. H. Simon, and A. M. Sengupta, "MIMO capacity through correlated channels in the presence of correlated interferers and noise: a (not so) large n analysis," IEEE Trans. on on Inform. Theory, vol. 49, pp. 2545-2561, October 2003.
7. L. Hanlen and A. Grant, "Capacity analysis of correlated MIMO channels," in Int. Symp. Inform. Theory, Yokohama, June 29 - July 4, 2003, p. 263.
8. A. Lozano, A. M. Tulino, and S. Verdú, "High-SNR power offset in multiantenna communication," IEEE Trans. on Inform. Theory, vol. 51, no. 12, pp. 4134-4150, Dec. 2005.
9. R. Speicher, "Free convolution and the random sum of matrices," Publ. Res. Inst. Math. Sci., vol. 29, pp. 731-744, 1993.
10. F. Hiai and D. Petz, The Semicircle Law, Free Random Variables and Entropy. USA: American Mathematical Society, 2000.
11. H. Bercovici and D. Voiculescu, "Free convolution of measures with unbounded support," Indiana Uni. Math. Journal, vol. 43, no. 3, pp. 733-773, 1993.
12. D. Voiculescu, "Multiplication of certain non-commuting random variables," J. Funct. Analysis, vol. 66, pp. 223-235, 1987.
13. R. R. Müller, "A random matrix model of communication via antenna arrays," IEEE Trans. on Inform. Theory, vol. 48, no. 9, pp. 2495-2506, Sept. 2002.
14. M. Debbah, W. Hachem, P. Loubaton, and M. de Courville, "MMSE analysis of certain large isometric random precoded systems," IEEE Trans. on Inform. Theory, vol. 49, no. 5, pp. 1293-1311, May 2003.
15. A. Skupch, D. Seethaler, and F. Hlawatsch, "Free probability based capacity calculation for MIMO channels with transmit or receive correlation," in Int. Conf. on Wireless Networks, Commun. and Mobile Comp., 2005, pp. 1041-1046.
16. N. R. Rao and A. Edelman, "The polynomial method for random matrices," http://arxiv.org/abs/math.PR/0601389, Jan. 2006.
17. R. M. Corless, G. H. Gonnet, D. E. Hare, and D. E. Knuth, "On the Lambert-W function," Adv. Comp. Mathem., vol. 5, pp. 329-359, 1996.
18. K. I. Gross and D. S. P. Richards, "Total positivity spherical series, and hypergeometric functions of matrix argument," Journal of Approx. Theory, no. 59, 1989.
19. A. K. Gupta and D. K. Nagar, Matrix Variate Distributions. USA: Chapman and Hall/CRC, 2000.
20. V. A. Mařcenko and L. A. Pastur, "Distributions of eigenvalues for some sets of random matrices," Math. USSR-Sbornik, vol. 1, pp. 457-483, 1967.
21. G. W. Stewart, "The effl cient generation of random orthogonal matrices with and application to conditional estimators," SIAM Journal Numerical Analysis, vol. 17, pp. 403-409, June 1980.
22. A. Papoulis, Probability, random variables, and stochastic processes. New York: McGraw-Hill, 1965.
23. H. A. David, Order Statistics. John Wiley & Sons, Inc., 1970.