Asymptotic normality of linear multiuser receiver outputs

IEEE Transactions on Information Theory

Volumn 48, Issue 12, 2002, Pages 3080-3095

  Guo, Dongning ^a   Verdú, Sergio ^a   Rasmussen, Lars K ^b  

^a Princeton University   (United States)

^b UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

Author keywords

Central limit theorem; Code division multiple access (CDMA); Multiple access interference; Multiuser detection; Multiuser efficiency; Signal to interference ratio (SIR)

Indexed keywords

CODE DIVISION MULTIPLE ACCESS; COMMUNICATION CHANNELS (INFORMATION THEORY); LINEAR SYSTEMS; RANDOM PROCESSES; SIGNAL INTERFERENCE;

MULTIUSER DETECTION;

SIGNAL RECEIVERS;

EID: 0036913310     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2002.805066     Document Type: Article

References (34)

1. S. Verdú, Multiuser Detection. Cambridge, U.K.: Cambridge Univ. Press, 1998.
2. P.D. Alexander, A.J. Grant, and M.C. Reed, "Iterative detection in code-division multiple-access with error control coding," Europ. Trans. Telecommun., vol. 9, pp. 419-426, Sept./Oct. 1998.
3. X. Wang and H.V. Poor, "Iterative (turbo) soft interference cancellation and decoding for coded CDMA," IEEE Trans. Commun., vol. 47, pp. 1046-1060, July 1999.
4. L.K. Rasmussen, T.J. Lim, and A.-L. Johansson, "A matrix-algebraic approach to successive interference cancellation in CDMA," IEEE Trans. Commun., vol. 48, pp. 145-151, Jan. 2000.
5. D. Guo, L.K. Rasmussen, S. Sun, and T.J. Lim, "A matrix-algebraic approach to linear parallel interference cancellation in CDMA," IEEE Trans. Commun., vol. 48, pp. 152-161, Jan. 2000.
6. H. Elders-Boll, H.D. Schotten, and A. Busboom, "Efficient implementation of linear multiuser detectors for asynchronous CDMA systems by linear interference cancellation," Europ. Trans. Telecommun., vol. 9, no. 4, pp. 427-438, Sept./Oct. 1998.
7. R.M. Buehrer, S.P. Nicoloso, and S. Gollamudi, "Linear versus nonlinear interference cancellation," J. Commun. Networks, vol. 1, pp. 118-133, June 1999.
8. P.H. Tan and L.K. Rasmussen, "Linear interference cancellation in CDMA based on iterative techniques for linear equation systems," IEEE Trans. Commun., vol. 48, pp. 2099-2108, Dec. 2000.
9. A. Grant and C. Schlegel, "Convergence of linear interference cancellation multiuser receivers," IEEE Trans. Commun., vol. 49, no. 10, pp. 1824-1834, Oct. 2001.
10. C.L. Weber, G.K. Huth, and B.H. Batson, "Performance considerations of code division multiple-access systems," IEEE Trans. Veh. Technol., vol. VT-30, pp. 3-10, Feb. 1981.
11. S. Verdú and S. Shamai, "Spectral efficiency of CDMA with random spreading," IEEE Trans. Inform. Theory, vol. 45, pp. 622-640, Mar. 1999.
12. H.V. Poor and S. Verdú, "Probability of error in MMSE multiuser detection," IEEE Trans. Inform. Theory, vol. 43, pp. 858-871, May 1997.
13. 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. Inform. Theory, vol. 47, pp. 1128-1144, Mar. 2001.
14. J. Zhang and X. Wang, "Large-system performance analysis of blind and group-blind multiuser receivers," IEEE Trans. Inform. Theory, vol. 48, pp. 2507-2523, Sept. 2002.
15. S. Moshavi, E.G. Kanterakis, and D.L. Schilling, "Multistage linear receivers for DS-CDMA systems," Int. J. Wireless Inform. Networks, vol. 3, no. 1, pp. 1-17, 1996.
16. D. Guo, L.K. Rasmussen, and T.J. Lim, "Linear parallel interference cancellation in long-code CDMA multiuser detection," IEEE J. Select. Areas Commun., vol. 17, pp. 2074-2081, Dec. 1999.
17. A.J. Grant and P.D. Alexander, "Random sequence multisets for synchronous code-division multiple-access channels," IEEE Trans. Inform. Theory, vol. 44, pp. 2832-2836, Nov. 1998.
18. D.N.C. Tse and S.V. Hanly, "Linear multiuser receivers: Effective interference, effective bandwidth and user capacity," IEEE Trans. Inform. Theory, vol. 45, pp. 622-640, Mar. 1999.
19. D. Guo and S. Verdú, "Multiuser detection and statistical mechanics," in Communications, Information and Network Security, V. Bharghava, H.V. Poor, V. Tarokh, and S. Yoon, Eds. Norwell, MA: Kluwer Academic, 2002, ch. 13, pp. 229-277. [Online]. Available: http://www.princeton.edu/̃dguo/research/.
20. V.A. Marcenko and L.A. Pastur, "Distribution of eigenvalues for some sets of random matrices," in Math. USSR-Sbornik 1. Providence, RI: Amer. Math. Soc., 1967, pp. 457-483. Translation of Matematicheskii Sbornik.
21. J.W. Silverstein and Z.D. Bai, "On the empirical distribution of eigenvalues of a class of large dimensional random matrices," Journal of Multivar. Anal., vol. 54, no. 2, pp. 175-192, Aug. 1995.
22. D. Jonsson, "Some limit theorems for the eigenvalues of a sample covariance matrix," J. Multivar. Anal., vol. 12, pp. 1-38, Dec. 1982.
23. R. Mueller and S. Verdú, "Design and analysis of low-complexity interference mitigation on vector channels," IEEE J. Select. Areas Commun., vol. 19, pp. 1429-1441, Aug. 2001.
24. A. Papoulis, Probability, Random Variable, and Stochastic Processes, 3rd ed. New York: McGraw-Hill, 1991.
25. W. Feller, An Introduction to Probability Theory and Its Applications, 3rd ed. New York: Wiley, 1968, vol. I.
26. A. Rényi, Probability Theory. Budapest, Hungary: North Holland-Academiai Kiado, 1970.
27. D.L. McLeish, "Dependent central limit theorems and invariance principles," Ann. Probab., vol. 2, no. 4, pp. 620-628, 1974.
28. W. Rudin, Principles of Mathematical Analysis, 3rd ed. New York: McGraw-Hill, 1976.
29. D. Guo, "Linear parallel interference cancellation in CDMA," M.Eng. thesis, Nat. Univ. Singapore, 1998.
30. T. Tanaka, "A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors," IEEE Trans. Inform. Theory, vol. 48, pp. 2888-2910, Nov. 2002.
31. H. Nishimori, Statistical Physics of Spin Glasses and Information Processing: An Introduction, ser. Number 111 in International Series of Monographs on Physics. Oxford, U.K.: Oxford Univ. Press, 2001.
32. Y.C. Eldar and A.M. Chan, "The independence of wishart matrix eigenvalues and eigenvectors, and its application to the asymptotic performance of the decorrelator," IEEE Trans. Inform. Theory, submitted for publication.
33. S. Shamai and S. Verdú, "The impact of frequency-flat fading on the spectral efficiency of CDMA," IEEE Trans. Inform. Theory, vol. 47, pp. 1302-1327, May 2001.
34. U. Grenander and J.W. Silverstein, "Spectral analysis of networks with random topologies," SIAM J. Appl. Math., vol. 32, no. 2, pp. 499-519, Mar. 1977.