Rate Bounds for MIMO Relay Channels

  • Lo, Caleb K. (Wireless Networking and Communications Group, Department of Electrical and Computer Engineering, The University of Texas at Austin) ;
  • Vishwanath, Sriram (Wireless Networking and Communications Group, Department of Electrical and Computer Engineering, The University of Texas at Austin) ;
  • Heath, Jr., Robert W. (Wireless Networking and Communications Group, Department of Electrical and Computer Engineering, The University of Texas at Austin)
  • 발행 : 2008.06.30

초록

This paper considers the multi-input multi-output (MIMO) relay channel where multiple antennas are employed by each terminal. Compared to single-input single-output (SISO) relay channels, MIMO relay channels introduce additional degrees of freedom, making the design and analysis of optimal cooperative strategies more complex. In this paper, a partial cooperation strategy that combines transmit-side message splitting and block-Markov encoding is presented. Lower bounds on capacity that improve on a previously proposed non-cooperative lower bound are derived for Gaussian MIMO relay channels.

키워드

참고문헌

  1. R. Bruno, M. Conti, and E. Gregori, "Mesh networks: Commodity multihop ad hoc networks," IEEE Commun. Mag., vol. 43, no. 3, pp. 123-131, Mar. 2005
  2. R. Pabst, B. H. Walke, D. C. Schultz, P. Herhold, H. Yanikomeroglu, S. Mukherjee, H. Viswanathan, M. Lott, W. Zirwas, M. Dohler, H. Aghvami, D. D. Falconer, and G. P. Fettweis, "Relay-based deployment concepts for wireless and mobile broadband radio," IEEE Commun. Mag., vol. 42, no. 9, pp. 80-89, Sept. 2004
  3. H. Viswanathan and S. Mukherjee, "Throughput-range trade of wireless mesh backhaul networks," IEEE J. Sel. Areas Commun., vol. 24, no. 3, pp. 593-602, Mar. 2006 https://doi.org/10.1109/JSAC.2005.862408
  4. T. Cover and A. El Gamal, "Capacity theorems for the relay channel," IEEE Trans. Inf. Theory, vol. 25, no. 5, pp. 572-584, Sept. 1979 https://doi.org/10.1109/TIT.1979.1056084
  5. E. C. van der Meulen, "Three-terminal communication channels," Adv. Appl. Prob., vol. 3, pp. 120-154, 1971 https://doi.org/10.2307/1426331
  6. H. Sato, "Information transmission through a channel with relay," Tech. Rep. B76-7, The Aloha System, University of Hawaii, Honolulu, Mar. 1976
  7. G. J. Foschini, "Layered space-time architecture for wireless communication in fading environments when using multi-element antennas," Bell Labs Tech. J., vol. 1, no. 2, pp. 41-59, 1996 https://doi.org/10.1002/bltj.2015
  8. J. Winters, "On the capacity of radio communication systems with diversity in a Rayleigh fading environment," IEEE J. Sel. Areas Commun., vol. 5, no. 5, pp. 871-878, June 1987 https://doi.org/10.1109/JSAC.1987.1146600
  9. T. Marzetta and B. Hochwald, "Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading," IEEE Trans. Inf. Theory, vol. 55, no. 1, pp. 139-157, Jan. 1999
  10. D. Gesbert et. al., "From theory to practice: An overview of MIMO spacetime coded wireless systems," IEEE J. Sel. Areas Commun., vol. 21, no. 3, pp. 281-302, Apr. 2003 https://doi.org/10.1109/JSAC.2003.809458
  11. E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun. ETT, vol. 10, no. 6, pp. 585-596, November 1999 https://doi.org/10.1002/ett.4460100604
  12. R. S. Cheng and S. Verdú, "Gaussian multiaccess channels with ISI: Capacity region and multiuser water-filling," IEEE Trans. Inf. Theory, vol. 39, no. 3, pp. 773-785, May 1993 https://doi.org/10.1109/18.256487
  13. A. D.Wyner, "Shannon-theoretic approach to a Gaussian cellular multipleaccess channel," IEEE Trans. Inf. Theory, vol. 40, no. 6, pp. 1713-1727, Nov. 1994 https://doi.org/10.1109/18.340450
  14. P. Viswanath, D. N. C. Tse, and V. Anantharam, "Asymptotically optimal water-filling in vector multiple-access channels," IEEE Trans. Inf. Theory, vol. 47, no. 1, pp. 241-267, Jan. 2001 https://doi.org/10.1109/18.904525
  15. W. Yu, W. Rhee, S. Boyd, and J. M. Cioffi, "Iterative water-filling for Gaussian vector multiple access channels," IEEE Trans. Inf. Theory, vol. 50, no. 1, pp. 145-152, Jan. 2004 https://doi.org/10.1109/TIT.2003.821988
  16. G. Caire and S. Shamai, "On the achievable throughput of a multiantenna Gaussian broadcast channel," IEEE Trans. Inf. Theory, vol. 49, no. 7, pp. 1691-1706, July 2003 https://doi.org/10.1109/TIT.2003.813523
  17. H. Weingarten, Y. Steinberg, and S. Shamai (Shitz), "The capacity region of the Gaussian MIMO broadcast channel," IEEE Trans. Inf. Theory, vol. 52, no. 9, pp. 3936-3964, Sept. 2006 https://doi.org/10.1109/TIT.2006.880064
  18. N. Jindal, S. Vishwanath, and A. Goldsmith, "On the duality of Gaussian multiple-access and broadcast channels," IEEE Trans. Inf. Theory, vol. 50, no. 5, pp. 768-783, May 2004 https://doi.org/10.1109/TIT.2004.826646
  19. M. Mohseni and J. M. Cioffi, "A proof of the converse for the capacity of Gaussian MIMO broadcast channels," in Proc. ISIT 2006, vol. 1, July, pp. 881-885
  20. B.Wang, J. Zhang, and A. Host-Madsen, "On the capacity of MIMO relay channels," IEEE Trans. Inf. Theory, vol. 51, no. 1, pp. 29-43, Jan. 2005 https://doi.org/10.1109/TIT.2004.839487
  21. Wireless MAN Working Group. [Online]. Available: http://www.wireless man.org/
  22. Relay Task Group. [Online]. Available: http://www.ieee802.org/16/ relay/ index.html
  23. H. Bölcskei, R. U. Nabar, Ö. Oyman, and A. J. Paulraj, "Capacity scaling laws in MIMO relay networks," IEEE Trans. Wireless Commun., vol. 5, no. 6, pp. 1433-1444, June 2006 https://doi.org/10.1109/TWC.2006.1638664
  24. R. Vaze and R.W. Heath, Jr., "Capacity scaling for MIMO two-way relaying," submitted to IEEE Trans. Inf. Theory, June 2007
  25. X. Tang and Y. Hua, "Optimal design of non-regenerative MIMO wireless relays," IEEE Trans. Wireless Commun., vol. 6, no. 4, pp. 1398-1407, Apr. 2007 https://doi.org/10.1109/TWC.2007.348336
  26. A. El Gamal and M. Aref, "The capacity of the semideterministic relay channel," IEEE Trans. Inf. Theory, vol. 28, no. 3, p. 536, May 1982 https://doi.org/10.1109/TIT.1982.1056502
  27. A. El Gamal and S. Zahedi, "Capacity of a class of relay channels with orthogonal components," IEEE Trans. Inf. Theory, vol. 51, no. 5, pp. 1815-1817, May 1979 https://doi.org/10.1109/TIT.2005.846438
  28. A. K. Goparaju, S. Wei, and Y. Liu, "On superposition coding based cooperative diversity schemes," in Proc. Asilomar Conf. Signals, Syst., and Comput., Pacific Grove, CA, Oct. 2005, pp. 1046-1050
  29. P. Popovski and E. de Carvalho, "Spectrally efficient wireless relaying based on superposition coding," in Proc. IEEE VTC-spring, Apr. 2007, pp. 2936-2940
  30. M. Costa, "Writing on dirty paper," IEEE Trans. Inf. Theory, vol. 29, no. 3, pp. 439-441, May 1983 https://doi.org/10.1109/TIT.1983.1056659
  31. C. K. Lo, S. Vishwanath, and R. W. Heath Jr., "Rate bounds for MIMO relay channels using precoding," in Proc. IEEE GLOBECOM, vol. 3, Nov. 2005, pp. 1172-1176
  32. T. M. Cover and J.A. Thomas, Elements of Information Theory. Wiley- Interscience, Hoboken, NJ, 2006
  33. W. Yu, "Competition and cooperation in multi-user communication environments," Ph.D. dissertation, Stanford University, Stanford, CA, June 2002
  34. F. M. J.Willems, "Informationtheoretical results for the discrete memoryless multiple access channel," Ph.D. dissertation, Katholieke Universiteit Leuven, Leuven, Belgium, Oct. 1982
  35. A. El Gamal, "Network information theory," Course Notes for EE 478 (Stanford), 2002