On the asymptotic properties of amplify-and-forward MIMO relay channels

IEEE Transactions on Communications

Volumn 59, Issue 2, 2011, Pages 590-602

  Wen, Chao Kai ^a   Wong, Kai Kit ^b   Ng, Chris T K ^c  

^a NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c LUCENT TECHNOLOGIES   (United States)

Author keywords

amplify and forward; capacity analysis; large system; MIMO relay; nonregenerative relay; relay precoding matrix; source covariance matrix

Indexed keywords

AMPLIFY-AND-FORWARD; CAPACITY ANALYSIS; LARGE SYSTEM; MIMO RELAY; NON-REGENERATIVE RELAYS; RELAY PRECODING MATRIX; SOURCE COVARIANCE MATRIX;

ALGORITHMS; ASYMPTOTIC ANALYSIS; DECODING; ERROR DETECTION; LINEAR TRANSFORMATIONS; MIMO SYSTEMS; OPTIMIZATION;

COVARIANCE MATRIX;

EID: 79951854640     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOMM.2011.111710.090516     Document Type: Article

References (40)

1. J. N. Laneman, D. N. C. Tse, and G. W. Wornell, "Cooperative diversity in wireless networks: efficient protocols and outage behavior," IEEE Trans. Inf. Theory, vol. 50, pp. 3062-3080, Dec. 2004.
2. S. Jin, M. R. McKay, C. Zhong, and K. K. Wong, "Ergodic capacity analysis of amplify and forward MIMO dual-hop systems," IEEE Trans. Inf. Theory, vol. 56, no. 5, pp. 2204-2224, May 2010.
3. H. Bölcskei, R. U. Nabar, O. Oyman, and A. J. Paulraj, "Capacity scaling laws in MIMO relay networks," IEEE Trans. Wireless Commun., vol. 5, pp. 1433-1444, June 2006. (Pubitemid 43880232)
4. H. Li, Z. Han, and H. Poor, "Asymptotic analysis of large cooperative relay networks using random matrix theory," EURASIP J. Advances Sig. Proc., Feb. 2008.
5. V. Morgenshtern and H. Bölcskei, "Crystallization in large wireless networks," IEEE Trans. Inf. Theory, vol. 53, pp. 3319-3349, Oct. 2007. (Pubitemid 47534503)
6. J. Wagner, B. Rankov, and A. Wittneben, "Large n analysis of amplify-and-forward MIMO relay channels with correlated Rayleigh fading," IEEE Trans. Inf. Theory, vol. 54, pp. 5735-5746, Dec. 2008.
7. N. Fawaz, K. Zarifi, M. Debbah, and D. Gesbert, "Asymptotic capacity and optimal precoding in MIMO multi-hop relay networks," to be published. [Online]. Available: http://arxiv.org/abs/0906.0037
8. O. Muñoz, J. Vidal, and A. Agustín, "Linear transceiver design in nonregenerative relays with channel state information," IEEE Trans. Signal Process., vol. 55, pp. 2593-2604, June 2007. (Pubitemid 46851627)
9. X. Tang and Y. Hua, "Optimal design of non-regenerative MIMO wireless relays," IEEE Trans. Wireless Commun., vol. 6, pp. 1398-1407, 2007.
10. 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.
11. D. Guo and S. Verdú, "Randomly spread CDMA: asymptotics via statistical physics," IEEE Trans. Inf. Theory, vol. 51, pp. 1982-2010, June 2005.
12. Z. Fang, Y. Hua, and J. C. Koshy, "Joint source and relay optimization for a non-regenerative MIMO relay," in Proc. IEEE Workshop Sensor Array Multi-Channel Signal Process., July 2006, pp. 239-243. (Pubitemid 46949189)
13. S. F. Edwards and P. W. Anderson, "Theory of spin glasses," J. Physics F: Metal Physics, vol. 5, pp. 965-974, 1975.
14. H. Nishimori, Statistical Physics of Spin Glasses and Information Processing: AnIntroduction, ser. Number 111 in Int. Series on Monographs on Physics. Oxford UK: Oxford Univ. Press, 2001.
15. T. Tanaka, "A statistical-mechanics approach to large-system analysis of CDMA MUDs," IEEE Trans. Inf. Theory, vol. 48, pp. 2888-2910, Nov. 2002. (Pubitemid 35327603)
16. R. Müller, "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.
17. C. K. Wen and K. K. Wong, "Asymptotic analysis of spatially correlated MIMO multiple-access channels with arbitrary signaling inputs forjoint and separate decoding," IEEE Trans. Inf. Theory, vol. 53, pp. 252-268, Jan. 2007.
18. 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.
19. D. Guo, "Performance of multicarrier CDMA in frequency-selective fading via statistical physics," IEEE Trans. Inf. Theory, vol. 52, pp. 1765-1774, Apr. 2006.
20. 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. (Pubitemid 351540623)
21. R. Müller, D. Guo, and A. Moustakas, "Vector precoding for wireless MIMO systems and its replica analysis," IEEE J. Sel. Areas Commun., vol. 26, pp. 530-540, Apr. 2008.
22. C.-K. Wen, K.-K. Wong, and C. T. K. Ng, "Transmit precoding for MIMO relay systems with partial CSI under correlated fading," in Proc. Int. Conf. Wireless Commun. Signal Process., Nov. 2009.
23. A. Graham, Kronecker Products and Matrix Calculus: With Applications. New York: John Wiley & Sons, 1981.
24. D. Chizhik, J. Ling, P. W. Wolniansky, R. A. Valenzuela, N. Costa, and K. Huber, "Multiple-input-multiple-output measurements and modeling in Manhattan," IEEEJ. Sel. Areas Commun., vol. 21, pp. 321-331, Apr. 2003.
25. W. Weichselberger, M. Herdin, H. Ozcelik, and E. Bonek, "A stochastic MIMO channel model with joint correlation of both link ends," IEEE Trans. Wireless Commun., vol. 5, pp. 90-100, Jan. 2006.
26. T. A. Lamahewa, R. A. Kennedy, T. D. Abhayapala, and T. Betlehem, "MIMO channel correlation in general scattering environments," in Proc. Aus. Commun. Theory Workshop, 2006.
27. T. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
28. S. Verdú, Multiuser Detection. Cambridge, UK: Cambridge University Press, 1998.
29. D. Gesbert, H. Bolcskei, D. A. Gore, and A. J. Paulraj, "Outdoor MIMO wireless channels: models and performance prediction," IEEE Trans. Commun., vol. 50, pp. 1926-1934, 2002.
30. J. Dumont, S. Lasaulce, W. Hachem, Ph. Loubaton, and J. Najim, "On the capacity achieving covariance matrix for Rician MIMO channels: an asymptotic approach," IEEE Trans. Inf. Theory, vol. 56, pp. 1048-1069, Mar. 2010.
31. D. P. Bertsekas, Nonlinear Programming, 2nd edition. Belmont, MA: Athens Scientific, 1999.
32. W. Yu and R. Lui, "Dual methods for nonconvex spectrum optimization of multi-carrier systems," IEEE Trans. Commun., vol. 54, pp. 1310-1322, July 2006. (Pubitemid 44111460)
33. D. P. Palomar and M. Chiang, "Alternative distributed algorithms for network utility maximization: framework and applications," IEEE Trans. Automat. Control, vol. 52, pp. 2254-2269, Dec. 2007.
34. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, UK: Cambridge University Press, 2004.
35. M. R. D. Rodrigues, F Pérez-Cruz, and S. Verdú, "Multiple-input multiple-output Gaussian channels: optimal covariance fornon-Gaussian inputs," in Proc. IEEE Info. Theory Workshop, May 2008.
36. D. P. Palomar and S. Verdú, "Gradient of mutual information in linear vector Gaussian channels," IEEE Trans. Inf. Theory, vol. 52, pp. 141-154, 2006. (Pubitemid 43263124)
37. A. Lozano, A. M. Tulino, and S. Verdú, "Optimum power allocation for parallel Gaussian channels with arbitrary input distributions," IEEE Trans. Inf. Theory, vol. 52, pp. 3033-3051, 2006. (Pubitemid 44192966)
38. C.-K. Wen and K.-K. Wong, "On the sum-rate of uplink MIMO cellular systems with amplify-and-forward relaying and collaborative base stations," IEEE J. Sel. Areas Commun., vol. 28, Dec. 2010.
39. G. Ungerboeck, "Channel coding with multilevel/phase signals," IEEE Trans. Inf. Theory, vol. 28, pp. 55-67, Jan. 1982.
40. P. Billingsley, Probability and Measure, 3rd edition. New York: Wiley, 1995.