Capacity regions and sum-rate capacities of vector Gaussian interference channels

IEEE Transactions on Information Theory

Volumn 56, Issue 10, 2010, Pages 5030-5044

  Shang, Xiaohu ^a   Chen, Biao ^b   Kramer, Gerhard ^c   Poor, H Vincent ^a  

^a Princeton University   (United States)

^b Syracuse University   (United States)

^c University of Southern California ^*  (United States)

Author keywords

Capacity; interference; multipleinput multipleoutput (MIMO)

Indexed keywords

CAPACITY; CAPACITY REGIONS; GAUSSIAN INTERFERENCE CHANNELS; INTERFERENCE; MULTIPLE INPUTS; MULTIPLEINPUT MULTIPLEOUTPUT (MIMO); STRONG INTERFERENCE; SUM-RATE CAPACITY;

SIGNAL INTERFERENCE;

GAUSSIAN DISTRIBUTION;

EID: 77956655737     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2010.2059950     Document Type: Article

References (37)

1. C. E. Shannon, "Two-way communication channels," in Proc. 4th Berkeley Symp. Math. Stat. and Prob., Berkeley, CA, 1961, vol.1, pp. 611-644.
2. A. B. Carleial, "A case where interference does not reduce capacity," IEEE Trans. Inf. Theory, vol.21, pp. 569-570, Sep. 1975.
3. T. S. Han and K. Kobayashi, "A new achievable rate region for the interference channel," IEEE Trans. Inf. Theory, vol.IT-27, no.1, pp. 49-60, Jan. 1981.
4. H. Sato, "The capacity of the Gaussian interference channel under strong interference," IEEE Trans. Inf. Theory, vol.IT-27, no.11, pp. 786-788, Nov. 1981.
5. H. F. Chong, M. Motani, H. K. Garg, and H. El. Gamal, "On the Han-Kobayashi region for the interference channel," IEEE Trans. Inf. Theory, vol.54, no.7, pp. 3188-3195, Jul. 2008.
6. G. Kramer, "Review of rate regions for interference channels," in Proc. Int. Zurich Seminar, Zurich, Switzerland, Feb. 2006, pp. 162-165.
7. R. H. Etkin, D. Tse, and H. Wang, "Gaussian interference channel capacity to within one bit," IEEE Trans. Inf. Theory, vol.54, 12, no.12, pp. 5534-5562, Dec. 2008.
8. E. Telatar and D. Tse, "Bounds on the capacity region of a class of interference channels," in Proc. IEEE Int. Symp. Information Theory, Nice, France, Jun. 2007, pp. 2871-2874.
9. G. Kramer, "Outer bounds on the capacity of Gaussian interference channels," IEEE Trans. Inf. Theory, vol.50, no.3, pp. 581-586, Mar. 2004.
10. X. Shang, G. Kramer, and B. Chen, "A new outer bound and the noisy-interference sum-rate capacity for Gaussian interference channels," IEEE Trans. Inf. Theory, vol.55, no.2, pp. 689-699, Feb. 2009.
11. A. S. Motahari and A. K. Khandani, "Capacity bounds for the Gaussian interference channel," IEEE Trans. Inf. Theory, vol.55, 2, no.2, pp. 620-643, Feb. 2009.
12. V. S. Annapureddy and V. V. Veeravalli, "Gaussian interference networks: Sum capacity in the low interference regime and new outer bounds on the capacity region," IEEE Trans. Inf. Theory, vol.55, no.7, pp. 3032-3050, Jul. 2009.
13. H. Sato, "On degraded Gaussian two-user channels," IEEE Trans. Inf. Theory, vol.IT-24, pp. 634-640, Sep. 1978.
14. M. H. M. Costa, "On the Gaussian interference channel," IEEE Trans. Inf. Theory, vol.IT-31, pp. 607-615, Sep. 1985.
15. I. Sason, "On achievable rate regions for the Gaussian interference channels," IEEE Trans. Inf. Theory, vol.50, no.6, pp. 1345-1356, Jun. 2004.
16. X. Shang, G. Kramer, and B. Chen, "New outer bounds on the capacity region of Gaussian interference channels," in Proc. IEEE Int. Symp. Information Theory, Toronto, ON, Canada, Jul. 2008, pp. 245-249.
17. Y. Weng and D. Tuninetti, "On Gaussian interference channels with mixed interference," presented at the Inf. Theory and Applications Workshop, San Diego, CA, Jan. 2008 [Online]. Available: http://ita.ucsa/ workshop/08/files/paper/paper-264.pdf
18. S. Vishwanath and S. A. Jafar, "On the capacity of vector Gaussian interference channels," in Proc. IEEE Information Theory Workshop, San Antonio, TX, Oct. 2004, pp. 365-369.
19. X. Shang, B. Chen, and M. J. Gans, "On achievable sum rate for MIMO interference channels," IEEE Trans. Inf. Theory, vol.52, no.9, pp. 4313-4320, Sep. 2006. (Pubitemid 44363861)
20. X. Shang, B. Chen, G. Kramer, and H. V. Poor, "On the capacity of MIMOinterference channels," in Proc. 46th Annu. Allerton Conf. Communication, Control, and Computing, Monticello, IL, Sep. 2008, pp. 700-707.
21. X. Shang, "On the Capacity of Gaussian Interference Channels," Ph.D. dissertation, Syracuse Univ., Syracuse, NY, Aug. 2008.
22. V. S. Annapureddy, V. V. Veeravalli, and S. Vishwanath, "On the sum capacity of MIMO interference channel in the low interference regime," in Proc. 42nd Asilomar Conf. Systems, Signals and Computers, Pacific Grove, CA, Nov. 2008, pp. 80-84.
23. X. Shang, B. Chen, G. Kramer, and H. V. Poor, "Noisy-interference sum-rate capacity of parallel Gaussian interference channels," IEEE Trans. Inf. Theory Feb. 2009 [Online]. Available: http://arXiv.org/abs/ 0903.0595, to appear
24. X. Shang and B. Chen, "Achievable rate region for downlink beamforming in the presence of interference," in Proc. 41st Asilomar Conf. Signals, Systems, and Computers, Pacific Grove, CA, Nov. 2007, pp. 1684-1688.
25. X. Shang, B. Chen, and G. Kramer, "On sum-rate capacity of parallel Gaussian symmetric interference channels," in Proc. IEEE Globecom, New Orleans, LA, Nov. 2008, pp. 1-5.
26. R. A. Horn and C. R. Johnson, Matrix Analysis. New York: Cambridge Univ. Press, 1985.
27. A. D. Wyner, "Recent results in the Shannon theory," IEEE Trans. Inf. Theory, vol.IT-20, pp. 2-10, Jan. 1974.
28. J. A. Thomas, "Feedback can at most double Gaussian multiple access channel capacity," IEEE Trans. Inf. Theory, vol.33, no.5, pp. 711-716, Sep. 1987.
29. B. Hajek, An Exploration of Random Processes for Engineers, Univ. Illinois at Urbana Champaign, 2008 [Online]. Available: http://www. ifp.uiuc.edu/hajek/Papers/randomprocJan08.pdf
30. B. Bandemer, A. Sezgin, and A. Paulraj, "On the noisy interference regime of the MISO Gaussian interference channel," in Proc. IEEE Communication Theory Workshop, St. Croix, USVI, May 2008.
31. J. C. Engwerda, A. C. M. Ran, and A. L. Rijkeboer, "Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation, Linear Algebra Appl., vol.186, pp. 255-275, 1993.
32. T. M. Cover and J. A. Thomas, Elements of Information Theory, 2nd ed. Hoboken, NJ: Wiley, 2006.
33. S. N. Diggavi and T. M. Cover, "The worst additive noise under a covariance constraint," IEEE Trans. Inf. Theory, vol.47, no.7, pp. 3072-3081, Nov. 2001.
34. S. R. Searle, Matrix Algebra Useful for Statistics. New York: Wiley, 1982.
35. G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. Baltimore, MD: Johns Hopkins Univ. Press, 1996.
36. C. E. Shannon, Claude E. Shannon: Collected Papers. Piscataway, NJ: IEEE, 1993.
37. R. Etkin, "New sum-rate upper bound for the two-user Gaussian interference channel," in Proc. Int. Symp. Inf. Theory, Seoul, Korea, Jun. 28-Jul. 3, 209, pp. 2582-2586.