Asymptotic mutual information for rician MIMO-MA channels with arbitrary inputs: A replica analysis

IEEE Transactions on Communications

Volumn 58, Issue 10, 2010, Pages 2782-2788

  Wen, Chao Kai ^a   Wong, Kai Kit ^b   Chen, Jung Chieh ^c  

^a NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c NATIONAL KAOHSIUNG NORMAL UNIVERSITY   (Taiwan)

Author keywords

Asymptotic analysis; MIMO; multiple access; mutual information; replica method; Rician channels

Indexed keywords

MIMO; MULTIPLE ACCESS; MUTUAL INFORMATIONS; REPLICA METHOD; RICIAN CHANNELS;

ANTENNAS; DECODING; EQUIPMENT TESTING; ERROR DETECTION; MIMO SYSTEMS; PROBABILITY; PROBABILITY DENSITY FUNCTION;

ASYMPTOTIC ANALYSIS;

EID: 77958083022     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOMM.2010.082710.090456     Document Type: Article

References (29)

1. G. J. Foschini and M. J. Gans, "On limits of wireless communications in a fading environment when using multiple antennas," Wireless Personal Commun., pp. 311-335, 1998.
2. Í. E. Telatar, "Capacity of multi-antenna Gaussian channel," Euro. Trans. Telecommun., vol.10, pp. 585-595, 1999.
3. D. Shiu, G. J. Foschini, M. J. Gans, and J. M. Kahn, "Fading correlation and its effect on the capacity of multi-element antenna systems," IEEE Trans. Commun., vol.48, pp. 502-513, Mar. 2000.
4. A. M. Tulino, A. Lozano, and S. Verd́u, "Impact of correlation on the capacity of multi-antenna channels," IEEE Trans. Inf. Theory, vol.51, pp. 2491-2509, July 2005.
5. M. Kang and M. S. Alouini, "Capacity of MIMO Rician channels," IEEE Trans. Wireless Commun., vol.5, pp. 112-122, Jan. 2008.
6. M. R. McKay and I. B. Collings, "General capacity bounds for spatially correlated Rician MIMO channels," IEEE Trans. Inf. Theory, vol.51, pp. 3121-3145, Sep. 2005.
7. A. L. Moustakas, S. Simon, and A. M. Sengupta, "MIMO capacity through correlated channels in the presence of correlated interfers and noise: a (not so) large N analysis," IEEE Trans. Inf. Theory, vol.49, pp. 2545-2561, Oct. 2003.
8. A. M. Tulino and S. Verd́u, "Random matrix theory and wireless communications," Foundations and Trends in Commun. and Inf. Theory, vol.1, no.1, pp. 1-182, 2004.
9. J. Dumont, W. Hachem, S. Lasaulce, P. Loubaton, and J. Najim, "On the capacity achieving covariance matrix for Rician MIMO channels: an asymptotic approach," IEEE Trans. Inf. Theory, Mar. 2010.
10. A. L. Moustakas and S. H. Simon, "Random matrix theory of multiantenna communications: the Ricean case," J. Phys. A: Math. Gen. vol.38, 2005, pp. 10859-10872.
11. A. L. Moustakas and S. H. Simon, "On the outage capacity of correlated multiple-path MIMO channels," IEEE Trans. Inf. Theory, vol.53, pp. 3887-3903, Nov. 2007.
12. G. Taricco, "Asymptotic mutual information statistics of separatelycorrelated Rician fading MIMO channels," IEEE Trans. Inf. Theory, vol.54, pp. 3490-3504, 2008.
13. S. F. Edwards and P. W. Anderson, "Theory of spin glasses," J. Physics F: Metal Physics, vol.5, pp. 965-974, 1975.
14. E. Riegler and G. Taricco, "Second-order statistics of the mutual information of the asymptotic separately-correlated Rician fading MIMO channel with interference," in Proc. IEEE Glob. Tech. Conf., Washington, DC, USA, Nov. 2007.
15. W. He and C. N. Georghiades, "Computing the capacity of a MIMO fading channel under PSK signaling," IEEE Trans. Inf. Theory, vol.51, pp. 1794-1803, May 2005.
16. T. Tanaka, "A statistical-mechanics approach to large-system analysis of CDMA MUDs," IEEE Trans. Inf. Theory, vol.48, pp. 2888-2910, Nov. 2002.
17. A. Montanari and D. Tse "Analysis of belief propagation for non-linear problems: the example of CDMA (or: how to prove Tanaka's formula)," in Proc. IEEE Inf. Theory Workshop, Punta del Este, Uruguay, Mar. 2006.
18. D. Guo and C. C. Wang, "Multiuser detection of sparsely spread CDMA," IEEE J. Sel. Areas Commun., vol.26, pp. 421-431, Apr. 2008.
19. D. Guo and S. Verd́u, "Randomly spread CDMA: asymptotics via statistical physics," IEEE Trans. Inf. Theory, vol.51, pp. 1982-2010, June 2005.
20. R. Ḿuller, "Channel capacity and minimum probability of error in large dual antenna array systems with binary modulation," IEEE Trans. Signal Process., vol.51, pp. 2821-2828, Nov. 2003.
21. C.-K. Wen and K. K. Wong, "Asymptotic analysis of spatially correlated MIMO multiple-access channels with arbitrary signaling inputs for joint and separate decoding," IEEE Trans. Inf. Theory, vol.53, pp. 252-268, Jan. 2007.
22. C.-K. Wen, K. K. Wong, and J.-C. Chen, "Correlated MIMO multipleaccess systems with macro-diversity: asymptotic analysis via statistical physics," IEEE Trans. Commun., vol.55, pp. 477-488, Mar. 2007.
23. K. Takeuchi, T. Tanaka, and T. Yano, "Asymptotic analysis of general multiuser detectors in MIMO DS-CDMA Channels," IEEE J. Sel. Areas Commun., vol.26, pp. 486-496, Apr. 2008.
24. C.-K. Wen, J.-C. Chen, K. K. Wong, and P. Ting, "Asymptotic mutual information of multiple-path Rician fading MIMO multiple-access channel," in Proc. Int. Symp. Inf. Theory Its App., Auckland, New Zealand, Dec. 2008.
25. E. Riegler and G. Taricco, "On the ergodic capacity region of the separately correlated Rician fading multiple acee MIMO channel," in Proc. IEEE Glob. Technol. Conf., Washington, DC, USA, Nov. 2007.
26. D. Guo, S. Shamai, and S. Verd́u, "Mutual information and minimum mean-square error in Gaussian channels," IEEE Trans. Inf. Theory, vol.51, pp. 1261-1882, Apr. 2005.
27. G. Ungerboeck, "Channel coding with multilevel/phase signals," IEEE Trans. Inf. Theory, vol.28, pp. 55-67, Jan. 1982.
28. T. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
29. S. Verd́u, Multiuser Detection. Cambridge, UK: Cambridge University Press, 1998.