The capacity region of the Gaussian multiple-input multiple-output broadcast channel

IEEE Transactions on Information Theory

Volumn 52, Issue 9, 2006, Pages 3936-3964

  Weingarten, Hanan ^a   Steinberg, Yossef ^a   Shamai, Shlomo ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Broadcast channel; Capacity region; Dirty paper coding (DPC); Enhanced channel; Entropy power inequality; Minkowski's inequality; Multiple antenna

Indexed keywords

ANTENNAS; CHANNEL CAPACITY; CONSTRAINT THEORY; SIGNAL ENCODING; VECTORS;

BROADCAST CHANNEL; CAPACITY REGION; DIRTY-PAPER CODING (DPC); ENHACED CHANNEL; ENTROPY POWER INEQUALITY; MINKOWSKI'S INEQUALITY; MULTIPLE-INPUT MULTIPLE-OUTPUT CHANNEL;

COMMUNICATION CHANNELS (INFORMATION THEORY);

EID: 33748578624     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.880064     Document Type: Article

References (28)

1. P. P. Bergmans, "A simple converse for broadcast channels with additive white Gaussian noise," IEEE Trans. Inf. Theory, vol. IT-20, no. 2, pp. 279-280, Mar. 1974.
2. D. P. Bertsekas, A. Nedic, and A. E. Ozdaglar, Convex Analysis and Optimization. Belmont, MA: Athena Scientific, 2003.
3. N. M. Blachman, "The convolution inequality for entropy powers," IEEE Trans. Inf. Theory, vol. IT-11, no. 2, pp. 267-271, Apr. 1965.
4. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
5. V. Bryant, Metric Spaces. New York: Cambridge Univ. Press, 1985.
6. G. Caire, S. Shamai (Shitz), Y. Steinberg, and H. Weingarten, Space-Time Wireless Systems: From Array Processing to MIMO Communications. Cambridge, U.K.: Cambridge Univ. Press, 2006, ch. On Information Theoretic Aspects of MIMO-Broadcast Channels.
7. G. Caire and S. Shamai (Shitz), "On the achievable throughput of a multi-antenna gaussian broadcast channel," IEEE Trans. Inf. Theory, vol. 49, no. 7, pp. 1691-1706, Jul. 2003.
8. M. Costa, "Writing on dirty paper," IEEE Trans. Inf. Theory, vol. IT-29, no. 3, pp. 439-441, May 1983.
9. T. M. Cover, "Comments on broadcast channels," IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2524-2530, Sep. 1998.
10. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley-Interscience, 1991.
11. A. El Gamal, "A capacity of a class of broadcast channels," IEEE Trans. Inf. Theory, vol. IT-25, no. 2, pp. 166-169, Mar. 1979.
12. S. Gelfand and M. Pinsker, "Coding for channels with random parameters," Probl. Contr. Inf. Theory, vol. 9, no. 1, pp. 19-31, Jan. 1980.
13. 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.
14. J. Körner and K. Marton, "General brodcast channels with degraded message sets," IEEE Trans. Inf. Theory, vol. IT-23, no. 1, pp. 60-64, Jan. 1977.
15. K. Marton, "A coding theorem for the discrete memoryless broadcast channel," IEEE Trans. Inf. Theory, vol. IT-25, no. 3, pp. 306-311, May 1979.
16. H. Sato, "An outer bound on the capacity region of broadcast channels," IEEE Trans. Inf. Theory, vol. IT-24, no. 3, pp. 374-377, May 1978.
17. M. Sharif and B. Hassibi, "On the capacity of mimo broadcast channel with partial side information," IEEE Trans. Inf. Theory, vol. 51, no. 2, pp. 506-522, Feb. 2005.
18. S. Shamai (Shitz) and B. Zaidel, "Enhancing the cellular down-link capacity via co-processing at the transmitting end," in Proc. IEEE Semi-annual Vehicular Technology, VTC2001 Spring Conf. , Rhodes, Greece, May. 2001, ch. 3, sec. 36.
19. D. N. C. Tse and P.Viswanath, "On the capacity of the multiple antenna broadcast channel," in Multiantenna Channels: Capacity, Coding and Signal Processing, G. J. Foschini and S. Verdú, Eds. Providence, RI: DIMACS, American Math. Soc., 2003, pp. 87-105.
20. S. Vishwanath, N. Jindal, and A. Goldsmith, "Duality, achievable rates and sum-rate capacity of gaussian mimo broadcast channels," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2658-2668, Oct. 2003.
21. S. Vishwanath, G. Kramer, S. Shamai (Shitz), S. Jafar, and A. Goldsmith, "Capacity bounds for gaussian vector broadcast channels," in Multiantenna Channels: Capacity, Coding and Signal Processing, G. J. Foschini and S. Verdú, Eds. Providence, RI: DIMACS, Amer. Math. Soc., 2003, pp. 107-122.
22. P. Viswanath and D. N. C. Tse, "Sum capacity of the vector gaussian channel and uplink-downlink duality," IEEE Trans. Inf. Theory, vol. 49, no. 8, pp. 1912-1921, Aug. 2003.
23. P. Viswanathan, D. N. C. Tse, and R. Laroia, "Opportunistic beam-forming using dumb antennas," IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1276-1294, Jun. 2002.
24. H. Weingarten, Y. Steinberg, and S. Shamai (Shitz), "The capacity region of the gaussian mimo broadcast channel," in Proc. Conf. Information Sciences and Systems (CISS 2004), Princeton, NJ, Mar. 2004, pp. 7-12.
25. H. Weingarten, Y. Steinberg, and S. Shamai (Shitz), "On the capacity region of the multi-antenna broadcast channel with common messages," in Proc. IEE Int. Symp. Information Theory, Seatle, WA, Jul. 2006, pp. 2195-2199.
26. W. Yu, "Uplink-downlink duality via minimax duality," IEEE Trans. Inf. Theory., vol. 52, no. 2, pp. 361-374, Feb. 2006.
27. W. Yu and J. Cioffi, "Sum capacity of Gaussian vector broadcast channels," IEEE Trans. Inf. Theory, vol. 50, no. 9, pp. 1875-1892, Sep. 2004.
28. W. Yu, A. Sutivong, D. Julian, T. Cover, and M. Chiang, "Writing on colored paper," in Proc. IEEE Int. Symp. Information Theory, Washington, DC, Jun. 2001, p. 309.