On the distribution of SINR for the MMSE MIMO receiver and performance analysis

IEEE Transactions on Information Theory

Volumn 52, Issue 1, 2006, Pages 271-286

  Li, Ping ^a   Paul, Debashis ^b   Narasimhan, Ravi ^c   Cioffi, John ^d  

^a STANFORD UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c University of California Santa Cruz   (United States)

^d Stanford University   (United States)

Author keywords

Asymptotic distributions; Channel correlation; Error probability; Gamma approximation; Minimum mean square error (MMSE) receiver; Multiple input multiple output (MIMO) system; Random matrix; Signal to interference plus noise ratio (SINR)

Indexed keywords

APPROXIMATION THEORY; CHANNEL CAPACITY; CORRELATION METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; RAYLEIGH FADING; SIGNAL INTERFERENCE; SIGNAL RECEIVERS; SIGNAL TO NOISE RATIO; WIRELESS TELECOMMUNICATION SYSTEMS;

ASYMPTOTIC DISTRIBUTIONS; CHANNEL CORRELATION; GAMMA APPROXIMATION; MINIMUM MEAN-SQUARE ERROR (MMSE) RECEIVER; MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO) COMMUNICATIONS; SIGNAL-TO-INTERFERENCE-PLUS-NOISE RATIO (SINR);

DATA COMMUNICATION SYSTEMS;

EID: 33144487692     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2005.860466     Document Type: Article

References (32)

1. A. Paulraj, R. Nabar, and D. Gore, Introduction to Space-Time Wireless Communications, 1st ed. New York: Cambridge Univ. Press, 2003.
2. H. V. Poor and S. Verdú, "Probability of error in MMSE multiuser detection," IEEE Trans. Inf. Theory, vol. 43, no. 3, pp. 858-871, May 1997.
3. D. N. C. Tse and O. Zeitouni, "Linear multiuser receivers in random environments," IEEE Trans. Inf. Theory, vol. 46, no. 1, pp. 171-188, Jan. 2000.
4. S. Verdú, Multiuser Detection. Cambridge, U.K.: Cambridge Univ. Press, 1998.
5. U. Madhow and M. L. Honig, "MMSE interference suppression for direct- sequence spread-spectrum CDMA," IEEE Trans. Commun., vol. 42, no. 12, pp. 3178-3188, Dec. 1994.
6. S. Verdú and S. Shamai (Shitz), "Spectral efficiency of CDMA with random spreading," IEEE Trans. Inf. Theory, vol. 45, no. 2, pp. 622-640, Mar. 1999.
7. A. Hjøorungnes and P. S. R. Diniz, "Minimum BER prefilter transform for communications systems with binary signaling and known for MIMO channel," IEEE Signal Process. Lett., vol. 12, no. 3, pp. 234-237, Mar. 2005.
8. D. Guo, S.Verdú, and L. K. Rasmussen, "Asymptotic normality of linear multiuser receiver outputs," IEEE Trans. Inf. Theory, vol. 48, no. 12, pp. 3080-3095, Dec. 2002.
9. A. M. Tulino and S. Verdú, "Random matrix theory and wireless communications," Foundations and Trends in Communications and Information Theory, vol. 1, Jun. 2004.
10. L. Li, A. M. Tulino, and S. Verdú, "Asymptotic eigenvalue moments for linear multiuser detection," Commun. Inf. and Syst., vol. 1, no. 3, pp. 273-304, 2001.
11. D. N. C. Tse and S. V. Hanly, "Linear multiuser receivers: Effective interference, effective bandwidth and user capacity," IEEE Trans. Inf. Theory, vol. 45, no. 2, pp. 641-657, Mar. 1999.
12. J. Zhang, E. K. P. Chong, and D. N. C. Tse, "Output MAI distribution of linear MMSE multiuser receivers in DS-CDMA systems," IEEE Trans. Inf. Theory, vol. 47, no. 3, pp. 1128-1144, Mar. 2001.
13. D. Gesbert, "Robust linear MIMO receivers: A minimum error-rate approach," IEEE Trans. Signal Process., vol. 51, no. 11, pp. 2863-2871, Nov. 2003.
14. A. Hjøorungnes and D. Gesbert, "Exact SER-precoding of orthogonal space-time block coded correlated MIMO channels: An iterative approach," in Proc. 6th Nordic Signal Processing Symp., NORSIG 2004, Espoo, Finland, Jun. 2004, pp. 336-339.
15. E. Biglieri, "Transmission and reception with multiple antennas: Theoretical foundations," Foundations and Trends in Communications and Information Theory, vol. 1, p. 222, 2004.
16. R. R. Müler, "On the asymptotic eigenvalue distribution of concatenated vector-valued fading channels," IEEE Trans. Inf. Theory, vol. 48, no. 7, pp. 2086-2091, Jul. 2002.
17. R. R. Müller, P. Schramm, and J. B. Huber, "Spectral efficiency of CDMA systems with linear interference suppression," in IEEE Workshop on Communication Engineering, Ulm, Germany, Jan. 1997, pp. 93-97.
18. K. Mardia, J. T. Kent, and J. Bibby, Multivariate Analysis. San Diego, CA: Academic, 1979.
19. D. Gore, R. W. Heath, and A. Paulraj, "On performance of the zero forcing receiver in presence of transmit correlation," in Proc. IEEE Int. Symp. Information Theory Lausanne, Switzerland, Jun./Jul. 2002, p. 159.
20. J. W. Silverstein, "Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices," J. Multivariate Anal., vol. 55, no. 2, pp. 331-339, 1995.
21. Z. D. Bai, "Methodologies in spectral analysis of large dimensional random matrices, a review," Statist. Sinica, vol. 9, no. 3, pp. 611-677, 1999.
22. Z. D. Bai and W. Silverstein, "CLT for linear spectral statistics of large-dimensional sample covariance matrices," Ann. Probab., vol. 32, no. 1A, pp. 553-605, 2004.
23. P. Li, D. Paul, R. Narasimhan, and J. Cioffi, "On the Asymptotic and Approximate Distributionof SINR for the LinearMMSEMIMO Receiver," Dept. Statist., Stanford Univ., Stanford, CA, Tech. Rep. 2005-15, Jun. 2005.
24. H. Shin and J. H. Lee, "Capacity of multiple-antenna fading channels: Spatial fading correlation, double scattering and keyhole," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2636-2647, Oct. 2003.
25. R. Narasimhan, "Spatial multiplexing with transmit antenna and constellation selection for correlated MIMO fading channels," IEEE Trans. Signal Process., vol. 51, no. 11, pp. 2829-2838, Nov. 2003.
26. R. Durrett, Probability: Theory and Examples, 2nd ed. Belmont, CA: Duxbury, 1995.
27. P. Hougaard, "Survival models for heterogeneous populations," Biometrika, vol. 73, no. 2, pp. 387-396, 1986.
28. H. U. Gerber, "From the generalized gamma to the generalized negative binomial distribution," Insurance: Mathematics and Economics, vol. 10, pp. 303-309, 1991.
29. I. S. Gradshteynan I.M. Ryzhik, Tables of Integrals, Series, and Products, 2nd ed. New York: Academic, 1980.
30. M. S. Alouini and A. J. Goldsmith, "A unified approach for calculating error rates of linearly modulated signals over generalized fading channels," IEEE Trans. Commun., vol. 47, no. 9, pp. 1324-1334, Sep. 1999.
31. M. K. Simon and M.-S. Alouini, Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis, 1st ed. New York: Wiley, 2000.
32. A. Guionnet and O. Zeitouni, "Concentration of the spectral measure for large matrices," Electron. Commun. Probab., pp. 119-136, 2000.