Asymptotic capacity analysis of large-scale MIMO AF relay networks in a composite fading environment

IEEE Transactions on Vehicular Technology

Volumn 65, Issue 11, 2016, Pages 8895-8909

  Chen, Yuanyuan ^a   Liu, Chen ^a   Fu, Youhua ^a,b   Wang, Hairong ^c   Zhu, Wei Ping ^c,d  

^a NANJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b SOUTHEAST UNIVERSITY   (China)

^c Jiangsu Key Laboratory of Wireless Communications   (China)

^d Civil and Environmental Engineering   (Canada)

Author keywords

Asymptotic capacity; composite fading; large scale multiple input multiple output (MIMO) amplify and forward (AF) relay networks; random matrix theory; relay distribution

Indexed keywords

ANTENNAS; CODES (SYMBOLS); COVARIANCE MATRIX; FEEDBACK CONTROL; INTELLIGENT SYSTEMS; MATRIX ALGEBRA; MIMO SYSTEMS; MONTE CARLO METHODS; RANDOM VARIABLES; RELAY CONTROL SYSTEMS; TELECOMMUNICATION REPEATERS;

AMPLIFYAND-FORWARD RELAY; ASYMPTOTIC CAPACITIES; COMPOSITE FADING; RANDOM MATRIX THEORY; RELAY DISTRIBUTION;

RAYLEIGH FADING;

EID: 85012898586     PISSN: 00189545     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVT.2016.2518803     Document Type: Article

References (48)

1. G. J. Foschini and M. J. Gans, "On limits of wireless communications in a fading environment when using multiple antennas, " Wireless Pers. Commun., vol. 6, no. 3, pp. 311-335, Mar. 1998.
2. E. Telatar, "Capacity of multi-antenna Gaussian channels, " Eur. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, Nov./Dec. 1999.
3. E. C. Van Der Meulen, "Three-terminal communication channels, " Adv. Appl. Probability, vol. 3, no. 1, pp. 120-154, 1971.
4. T. M. Cover and A. A. El Gamal, "Capacity theorems for the relay channel, " IEEE Trans. Inf. Theory, vol. IT-25, no. 5, pp. 572-584, Sep. 1979.
5. S. Borade, L. Zheng, and R. Gallager, "Amplify-and-forward in wireless relay networks: Rate, diversity, and network size, " IEEE Trans. Inf. Theory, vol. 53, no. 10, pp. 3302-3318, Oct. 2007.
6. 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.
7. Y. Fu, L. Yang, W. P. Zhu, and C. Liu, "Optimal relay precoding for two-hop AF transmission and performance analysis over Rayleighfading channels, " IEEE Trans. Commun., vol. 59, no. 11, pp. 3072-3079, Nov. 2011.
8. T. L.Marzetta, "Noncooperative cellular wireless with unlimited numbers of base station antennas, " IEEE Trans. Wireless Commun., vol. 9, no. 11, pp. 3590-3600, Nov. 2010.
9. E. G. Larsson, O. Edfors, F. Tufvesson, and T. L. Marzetta, "Massive MIMO for next generation wireless systems, " IEEE Commun. Mag., vol. 52, no. 2, pp. 186-195, Feb. 2014.
10. F. Rusek et al., "Scaling up MIMO: Opportunities and challenges with very large arrays, " IEEE Signal Process. Mag., vol. 30, no. 1, pp. 40-60, Jan. 2013.
11. J. Wagner, B. Rankov, and A. Wittneben, "Large n analysis of amplifyand- forward MIMO relay channels with correlated Rayleigh fading, " IEEE Trans. Inf. Theory, vol. 54, no. 12, pp. 5735-5746, Dec. 2008.
12. K.-J. Lee, J.-S. Kim, G. Caire, and I. Lee, "Asymptotic ergodic capacity analysis for MIMO amplify-and-forward relay networks, " IEEE Trans. Wireless Commun., vol. 9, no. 9, pp. 2712-2717, Sep. 2010.
13. H. A. Suraweera, H. Q. Ngo, T. Q. Duong, C. Yuen, and E. G. Larsson, "Multi-pair amplify-and-forward relaying with very large antenna arrays, " in Proc. IEEE ICC, Budapest, Hungary, Jun. 2013, pp. 4635-4640.
14. H. Q. Ngo, H. A. Suraweera, M. Mattaiou, and E. G. Larsson, "Multi-pair full-duplex relaying with massive arrays and linear processing, " IEEE J. Sel. Areas Commun., vol. 32, no. 9, pp. 1721-1737, Sep. 2014.
15. T. V. T. Le and Y. H. Kim, "Power and spectral efficiency of multi-pair massive antenna relaying systems with zero-forcing relay beamforming, " IEEE Commun. Lett., vol. 19, no. 2, pp. 243-246, Feb. 2015.
16. Y. Fan and J. Thompson, "MIMO configurations for relay channels: Theory and practice, " IEEE Trans. Wireless Commun., vol. 6, no. 5, pp. 1774-1786, May 2005.
17. H. Bölcskei, R. U. Nabar, ÖOyman, and A. J. Paulraj, "Capacity scaling laws in MIMO relay networks, " IEEE Trans. Wireless Commun., vol. 5, no. 6, pp. 1433-1444, Jun. 2006.
18. V. I. Morgenshtern and H. Bölcskei, "Random matrix analysis of large relay networks, " in Proc. 44th Allerton Ann. Conf. Commun., Control Comput., Monticello, IL, USA, Sep. 2006, pp. 106-112.
19. V. I. Morgenshtern and H. Bölcskei, "Crystallization in large wireless networks, " IEEE Trans. Inf. Theory, vol. 53, no. 10, pp. 3319-3349, Oct. 2007.
20. T. S. Rappaport, Wireless Communications: Principles and Practice. Englewood Cliffs, NJ, USA: Prentice-Hall, 1996.
21. S. Yeh and O. Lévêque, "Asymptotic capacity of multi-level amplify-andforward relay networks, " in Proc. IEEE ISIT, Nice, France, Jun. 2007, pp. 1436-1440.
22. S. Yeh, O. Lévêque, and J. M. Cioffi, "Asymptotic capacity of orthogonal multi-level amplify-and-forward relay networks, " in Proc. 41st ACSSC, Nov. 2007, pp. 57-61.
23. H. Li, Z. Han, and H. Poor, "Asymptotic analysis of large cooperative relay networks using random matrix theory, " EURASIP J. Adv. Signal Process., vol. 2008, Feb. 2008, Art. ID 1387925.
24. N. Fawaz, K. Zarifi, M. Debbah, and D. Gesbert, "Asymptotic capacity and optimal precoding in MIMO multi-hop relay networks, " IEEE Trans. Inf. Theory, vol. 57, no. 4, pp. 2050-2069, Apr. 2011.
25. C. K. Wen, J.-C. Chen, and P. Ting, "Asymptotic mutual information of amplify-and-forward MIMO relay channel with Rician fading, " in Proc. IEEE ISPACS, Dec. 2010, pp. 1-4.
26. J. Hoydis, R. Couillet, andM. Debbah, "Iterative deterministic equivalents for the performance analysis of communication systems, " to be published. [Online]. Available: http://arxiv.org/abs/1112.4167
27. S. Chatzinotas and B. Ottersten, "Capacity analysis of dual-hop amplifyand- forward MIMO multiple-access channels, " in Proc. IEEE WCSP, Huangshan, China, Oct. 2012, pp. 1-6.
28. S. Chatzinotas, "MMSE filtering performance of dual-hop amplify-andforward multiple-access channels, " IEEE Wireless Commun. Lett., vol. 2, no. 1, pp. 122-125, Feb. 2013.
29. V. A. Marčenko and L. A. Pastur, "Distribution of eigenvalues for some sets of random matrices, " Math. USSR-Sbornik, vol. 1, no. 4, pp. 457-483, 1967.
30. A. M. Tulino and S. Verdú, "Random matrix theory and wireless communications, " Found. Trends Commun. Inf. Theory, vol. 1, no. 1, pp. 1-182, 2004.
31. L. Ong and M. Motani, "On the capacity of the single source multiple relay single destination mesh network, " Ad Hoc Netw., vol. 5, no. 6, pp. 786-800, 2007.
32. H.-C. Yang and M.-S. Alouini, Order Statistics in Wireless Communications: Diversity, Adaptation, and Scheduling in MIMO and OFDM Systems. Cambridge, U.K.: Cambridge Univ. Press, 2011.
33. J.Ma, P. Orlik, J. Zhang, and Y. Li, "Pilot matrix design for estimating cascaded channels in two-hop MIMO amplify-and-forward relay systems, " IEEE Trans. Wireless Commun., vol. 10, no. 6, pp. 1956-1965, Jun. 2011.
34. F. Tseng, W. Huang, and W. Wu, "Robust far-end channel estimation in three-node amplify-and-forward MIMO relay systems, " IEEE Trans. Veh. Technol., vol. 62, no. 8, pp. 3752-3766, Oct. 2013.
35. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York, NY, USA: Wiley, 2006.
36. S. Chatzinotas and B. Ottersten, "Coordinated multipoint uplink capacity over a MIMO composite fading channel, " in Proc. IEEE ICNC, Jan. 2012, pp. 1601-1605.
37. N. A. Letzepis, "Gaussian cellular multiple access channels, " Ph.D. dissertation, Inst. Telecommun. Res., Univ. South Australia, Adelaide, SA, Australia, Dec. 2005.
38. V. L. Girko, Theory of Random Determinants. Norwell, MA, USA: Kluwer, 1990.
39. S. Chatzinotas, M. Imran, and C. Tzaras, "On the capacity of variable density cellular systems under multicell decoding, " IEEE Commun. Lett., vol. 12, no. 7, pp. 496-498, Jul. 2008.
40. S. Chatzinotas, M. Imran, and R. Hoshyar, "On the multicell processing capacity of the cellular MIMO uplink channel in correlated Rayleigh fading environment, " IEEE Trans. Wireless Commun., vol. 8, no. 7, pp. 3704-3715, Jul. 2009.
41. P. Pan, Y. Zhang, Y. Sun, and L. Yang, "On the asymptotic spectral efficiency of uplink MIMO-CDMA systems over Rayleigh fading channels with arbitrary spatial correlation, " IEEE Trans. Veh. Technol., vol. 62, no. 2, pp. 679-691, Feb. 2013.
42. R. R. Müller, "A random matrix model of communication via antenna arrays, " IEEE Trans. Inf. Theory, vol. 48, no. 9, pp. 2495-2506, Sep. 2002.
43. R. J. Serfling, Approximation Theorems of Mathematical Statistics. New York, NY, USA: Wiley, 1980.
44. J. W. Silverstein and S.-I. Choi, "Analysis of the limiting spectral distribution of large dimensional random matrices, " J. Multivariate Anal., vol. 54, no. 2, pp. 295-309, Aug. 1995.
45. J. W. Silversein and Z. D. Bai, "On the empirical distribution of eigenvalues of a class of large dimensional random matrices, " J. Multivariate Anal., vol. 54, no. 2, pp. 175-192, Aug. 1995.
46. C. D. Meyer, Matrix Analysis and Applied Linear Algebra. Philadelphia, PA, USA: SIAM, 2000.
47. P. Kyösti et al., WINNER II Channel Models, IST-4-027756 WINNER II D1.1.2 V1.2, Sep. 2007.
48. O. Somekh and S. Shamai, "Shannon-theoretic approach to a Gaussian cellular multiple-access channel with fading, " IEEE Trans. Inf. Theory, vol. 46, no. 4, pp. 1401-1425, Jul. 2000.