Computing the capacity of a MIMO fading channel under PSK signaling

IEEE Transactions on Information Theory

Volumn 51, Issue 5, 2005, Pages 1794-1803

  He, Wenyan ^a   Georghiades, Costas N ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Capacity achieving distribution; Constrained input; Multiple input multiple output (MIMO) capacity; Phase shift keying (PSK) signaling

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; PHASE SHIFT KEYING; PROBABILITY DENSITY FUNCTION; RAYLEIGH FADING; SIGNAL TO NOISE RATIO;

CAPACITY ACHIEVING DISTRIBUTION; CONSTRAINED INPUT; FADING CHANNELS; MULTIPLE INPUT MULTIPLE OUTPUT (MIMO) CAPACITY; PHASE SHIFT KEYING (PSK) SIGNALING;

CHANNEL CAPACITY;

EID: 18544384863     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2005.846426     Document Type: Article

References (33)

1. I. E. Telatar, "Capacity of multi-antenna Gaussian channels," Europ. trans. Telecommun., vol. 10, pp. 585-595, 1999.
2. 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, pp. 311-335, 1998.
3. G. J. Foschini, "Layered space-time architecture for wireless communcation in a fading environment when using multi-element antennas," AT&T Bell Labs Tech. J., vol. 1, pp. 41-59, 1996.
4. T. Cover and J. Thomas, Elements of Information Theory. New York: Wiley, 1991.
5. T. L. Marzetta and B. M. Hochwaid, "Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading," IEEE Trans. Inf. Theory, vol. 45, no. 1, pp. 139-157, Jan. 1999.
6. L. Zheng and D. N. C. Tse, "Information theoretic limits for noncoherent multi-antenna communications," in Proc. IEEE Wireless Communications Networking Conf., Chicago, IL, Sep. 2000, pp. 18-22.
7. L. Zheng and D. N. C. Tse, "Communication on the Grassmann manifold: A geometric approach to the noncoherent multi-antenna channel," IEEE Trans. Inf. Theory, vol. 48, no. 2, pp. 359-383, Feb. 2002.
8. D. Gesbert, M. Shafi, D. Shiu, P. J. Smith, and A. Naguib, "From theory to practice: An overview of MIMO space-time coded wireless systems," IEEE J. Select. Areas Commun., vol. 21, no. 3, pp. 281-302, Apr. 2003.
9. A. Goldsmith, S. A. Jafar, N. Jindal, and S. Vishwanath, "Capacity limits of MIMO channels," IEEE J. Select. Areas Commun., vol. 21, no. 5, pp. 684-702, Jun. 2003.
10. M. A. Kamath, B. L. Hughes, and X. Yu, "Gaussian approximations for the capacity of MIMO Rayleigh fading channels," in Proc. Asilomar Conf. Signals, Systems and Computers, Pacific Grove, CA, Nov. 2002, pp. 614-618.
11. P. J. Smith and M. Shafi, "On a Gaussian approximation to the capacity of wireless MIMO systems," in Proc. IEEE Int. Conf. Communications (ICC'2002), New York, Apr. 2002, pp. 406-410.
12. 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. Inf. Theory, vol. 48, no. 3, pp. 637-650, Mar. 2002.
13. P. B. Rapajic and D. Popescu, "Information capacity of a random signature multiple-input multiple-output channel," IEEE Trans. Commun., vol. 48, no. 8, pp. 1245-1248, Aug. 2000.
14. A. M. Sengupta and P. P. Mitra, "Capacity of multivariate channels with multiplicative noise: I. Random matrix techniques and large-n expansions for full transfer matrices," LANL arXiv:Physics /0010081 , vol. 1, 2000.
15. R. Janaswamy, "Analytical expressions for the ergodic capacities of certain MIMO systems by the Mellin transform," in Proc. IEEE Global Communications Conf. (GLOBECOM'2003), San Francisco, CA. Dec. 2003, pp. 287-291.
16. G. Alfano, A. M. Tulino, A. Lozano, and S. Verdú, "Capacity of MIMO channels with one-sided correlation," in Proc. IEEE ISSSTA'2004, Sydney, Australia, Aug. 2004, pp. 515-519.
17. G. Alfano, A. M. Tulino, A. Lozano, and S. Verdú, "Mutual information and eigenvalue distribution of MIMO Ricean channels," in Proc. ISITA'2004, Parma, Italy, Oct. 2004.
18. M. Chiani, M. Z. Win, and A. Zanella, "On the capacity of spatially correlated MIMO Rayleigh-fading channels," IEEE Trans. Inf. Theory , vol. 49, no. 10, pp. 2363-2371, Oct. 2003.
19. P. J. Smith, S. Roy, and M. Shafi, "Capacity of MIMO systems with semicorrelated flat fading," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2781-2788, Oct. 2003.
20. M. Kang and M.-S. Alouini, "Impact of correlation on the capacity of MIMO channels," in Proc. IEEE Int. Conf. Communications (ICC'2003) , Anchorage, AK, May 2003, pp. 2623-2627.
21. M. Kang, L. Yang, and M.-S. Alouini, "Capacity of MIMO Rician channels with multiple correlated Rayleigh co-channel interferers," in Proc. IEEE Global Communications Conf. (GLOBECOM'2003), San Franscisco, CA, Dec. 2003, pp. 1119-1123.
22. E. Baccarelli, "Evaluation of the reliable data rates supported by multiple-antenna coded wireless links for QAM transmission," IEEE J. Select. Areas Commun., vol. 19, no. 2, pp. 295-304, Feb. 2001.
23. B. M. Hochwald and S. ten Brink, "Achieving near-capacity on a multiple-antenna channel," IEEE Trans. Commun., vol. 51, no. 3, pp. 389-399, Mar. 2003.
24. A. Lapidoth and S. M. Moser, "Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2426-2467, Oct. 2003.
25. R. R. Müller, "Channel capacity and minimum probability of error in large dual antenna array systems with binary modulation," IEEE Trans. Signal Process., vol. 51, no. 11, pp. 2821-2828, Nov. 2003.
26. V. Tarokh, H. Jafarkhani, and A. R. Caiderbank, "Space-time block codes from orthogonal designs," IEEE Trans. Inf. Theory, vol. 45, no. 5, pp. 1456-1467, Jul. 1999.
27. G. Ungerboeck, "Channel coding with multilevel/phase signals," IEEE Trans. Inf. Theory, vol. IT-28, no. 1, pp. 55-67, Jan. 1982.
28. R. A. Hora and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
29. R. A. Horn and C. R. Johsnson, Topics in Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1991.
30. S. Verdú, "Spectral efficiency in the wideband regime," IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1319-1343, Jun. 2002.
31. Ö. Oyman, R. U. Nabar, H. Bölcskei, and A. J. Paulraj, "Characterizing the statistical properties of mutual information in MIMO channels," IEEE Trans. Signal Process., vol. 51, no. 11, pp. 2784-2795, Nov. 2003.
32. S. Verdú, "On channel capacity per unit cost," IEEE Trans. Inf. Theory, vol. 36, no. 5, pp. 1019-1030, Sep. 1990.
33. W. He and C. N. Georghiades, "Optimal Input Distribution," A&M University, College Station, TX, Wireless Communications Lab. Tech. Rep., 2004.