The degree-of-freedom regions of mimo broadcast, interference, and cognitive radio channels with no CSIT

IEEE Transactions on Information Theory

Volumn 58, Issue 8, 2012, Pages 5354-5374

  Vaze, Chinmay S ^a   Varanasi, Mahesh K ^a  

^a University of Colorado at Boulder   (United States)

Author keywords

Broadcast channel (BC); cognitive radio channel (CRC); degree of freedom (DoF) region; interference channel; multihop interference network; multiple input multiple output (MIMO) systems; X network

Indexed keywords

BROADCAST CHANNELS; COGNITIVE RADIO CHANNELS; DEGREE-OF-FREEDOM (DOF) REGION; INTERFERENCE CHANNELS; MULTIHOP; MULTIPLE-INPUT-MULTIPLE-OUTPUT SYSTEMS;

BROADCASTING; CHANNEL STATE INFORMATION; COGNITIVE RADIO; SIGNAL INTERFERENCE; TRANSMITTERS;

MIMO SYSTEMS;

EID: 84863947717     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2012.2201349     Document Type: Article

References (47)

1. I. E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, Nov./Dec. 1999.
2. H. Weingarten, Y. Steinberg, and S. Shamai, "The capacity region of multiple-input multiple-output broadcast channels," IEEE Trans. Inf. Theory, vol. 52, no. 9, pp. 3936-3964, Sep. 2006. (Pubitemid 44363826)
3. 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, Jul. 2003.
4. S. A. Jafar and A. J. Goldsmith, "Isotropic fading vector broadcast channels: The scalar upper bound and loss in degrees of freedom," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 848-857, Mar. 2005. (Pubitemid 40377553)
5. A. Lapidoth, S. Shamai, and M. Wiger, "On the capacity of a MIMO fading broadcast channel with imperfect transmitter side-information," presented at the presented at the 43rd Annu. Allerton Conf. Commun., Control Comput., Monticello, IL, Sep. 2005.
6. C. Huang, S. A. Jafar, and S. Shamai, "Multiuser MIMO degrees of freedom with no CSIT," presented at the presented at the Inf. Theory Appl. Workshop, San Diego, CA, Feb. 2009.
7. A. Carleial, "Interference channels," IEEE Trans. Inf. Theory, vol. IT-24, no. 1, pp. 60-70, Jan. 1978.
8. S. A. Jafar and M. J. Fakhereddin, "Degrees of freedom for the MIMO interference channel," IEEE Trans. Inf. Theory, vol. 53, no. 7, pp. 2637-2642, Jul. 2007. (Pubitemid 47061918)
9. C. Huang and S. A. Jafar, "Degrees of freedom of the MIMO interference channelwith cooperation and cognition," IEEE Trans. Inf. Theory, vol. 55, no. 9, pp. 4211-4220, Sep. 2009.
10. N. Devroye, P. Mitran, and V. Tarokh, "Achievable rates in cognitive radio channels," IEEE Trans. Inf. Theory, vol. 52, no. 5, pp. 1813-1827, May 2006.
11. W. Wu, S. Vishwanath, and A. Arapostathis, "Capacity of a class of cognitive radio channels: Interference channels with degradedmessage sets," IEEE Trans. Inf. Theory, vol. 53, no. 11, pp. 4391-4399, Nov. 2007. (Pubitemid 350141937)
12. S. Sridharan and S. Vishwanath, "On the capacity of a class of MIMO cognitive radios," IEEE J. Sel. Topics Signal Process., vol. 2, no. 1, pp. 103-117, Feb. 2008. (Pubitemid 351392291)
13. V. R. Cadambe and S. A. Jafar, "Interference alignment and degrees of freedom of the K-user interference channel," IEEE Trans. Inf. Theory, vol. 54, no. 8, pp. 3425-3441, Aug. 2008.
14. S. Jafar and S. Shamai, "Degrees of freedom region of the MIMO X-channel," IEEE Trans. Inf. Theory, vol. 54, no. 1, pp. 151-170, Jan. 2008.
15. A. S. Motahari, S. O. Gharan, M.-A.Maddah-Ali, and A. K. Khandani, Real interference alignment: Exploiting the potential of single antenna systems Aug. 2009 [Online]. Available: http://arxiv.org/abs/0908.2282
16. V. R. Cadambe and S. A. Jafar, "Interference alignment and the degrees of freedom of wireless X networks," IEEE Trans. Inf. Theory, vol. 55, no. 9, pp. 3893-3908, Sep. 2009.
17. Y. Cao and B. Chen, "Capacity bounds for two-hop interference networks," in Proc. 47th Allerton Conf. Comm., Control, Comput., Oct. 2009, pp. 272-279.
18. T. Gou, S.A. Jafar, S.-W. Jeon, and S.-Y. Chung, "Aligned interference neutralization and the degrees of freedom of the 2 2 2 interference channel," IEEE Trans. Inf. Theory, to be published.
19. C. S. Vaze andM. K. Varanasi, "Beamforming and aligned interference neutralization achieve the degrees of freedom of the MIMO 2 2 2 interference network," presented at the presented at the Inf. Theory Appl. Workshop, San Diego, CA, Feb. 2012.
20. C. Huang, S. A. Jafar, S. Shamai, and S. Vishwanath, "On degrees of freedom region of MIMO networks without channel state information at transmitters," IEEE Trans. Inf. Theory, vol. 58, no. 2, pp. 849-857, Feb. 2012.
21. S. A. Jafar, "Too much mobility limits the capacity of wireless ad-hoc networks," IEEE Trans. Inf. Theory, vol. 51, no. 11, pp. 3954-3965, Nov. 2005. (Pubitemid 41622593)
22. H. Weingarten, S. Shamai, and G. Kramer, "On the compound MIMO broadcast channel," presented at the presented at the Inf. Theory Appl. Workshop, San Diego, CA, Jan. 2007.
23. T. Gou, S. A. Jafar, and C.Wang, "On the degrees of freedom of finite state compound wireless networks," IEEE Trans. Inf. Theory, vol. 57, no. 6, pp. 3286-3308, Jun. 2011.
24. M. A. Maddah-Ali,On the degrees of freedomof the compound MIMO broadcast channels with finite states Sep. 2009 [Online]. Available: http://arxiv.org/abs/ 0909.5006v3
25. T. Cover and J. Thomas, Elements of Information Theory. NewYork: Wiley, 1991.
26. R. T. Krishnamachari and M. K. Varanasi, Interference alignment under limited feedback for MIMO interference channels Nov. 2009 [Online]. Available: http://arxiv.org/abs/0911.5509
27. T. Guo and S. Jafar, "Degrees of freedom for the K user MIMO interference channel," IEEE Trans. Inf. Theory, vol. 56, no. 12, pp. 6040-6057, Dec. 2010.
28. C. S. Vaze and M. K. Varanasi, The degrees of freedom regions of MIMO broadcast, interference, and cognitive radio channels with no CSIT Sep. 2009 [Online]. Available: http://arxiv.org/abs/0909.5424v1
29. Y. Zhu and D. Guo, "Isotropic MIMO interference channels without CSIT: The loss of degrees of freedom," in Proc. 47th Annu. Allerton Conf., Sep./Oct. 2009, pp. 1338-1344.
30. C. S. Vaze andM. K. Varanasi, "Dirty paper coding for the MIMO cognitive radio channel with imperfect CSIT," presented at the presented at the IEEE Int. Symp. Inf. Theory, Seoul, Korea, Jun./Jul. 2009.
31. C. S. Vaze and M. K. Varanasi, "The degrees of freedom region of the MIMO cognitive interference channel with no CSIT," presented at the presented at the IEEE Int. Symp. Inf. Theory, Austin, TX, Jun. 2010.
32. M. A. Maddah-Ali and D. Tse, "Completely stale transmitter channel state information is still very useful," in Proc. 48th Annu. Allerton Conf. Commun., Control, Comput., Sep. 2010, pp. 1188-1195 [Online]. Available: http://arxiv.org/abs/1010.1499
33. C. S. Vaze and M. K. Varanasi, "Degrees of freedom region for the two-user MIMO broadcast channel with delayed CSIT," presented at the presented at the IEEE Int. Symp. Inf. Theory, St. Petersburg, Russia, Aug. 2011.
34. N. Jindal, "MIMO broadcast channels with finite rate feedback," IEEE Trans. Inf. Theory, vol. 52, no. 11, pp. 5045-5060, Nov. 2006. (Pubitemid 44680590)
35. N. Ravindran and N. Jindal, "Limited feedback-based block diagonalization for theMIMObroadcast channel," IEEE J. Sel. Areas Commun., vol. 26, no. 8, pp. 1473-1482, Oct. 2008.
36. C. S. Vaze and M. K. Varanasi, "CSI feedback scaling rate vs multiplexing gain tradeoff for DPC-based transmission in the Gaussian MIMO broadcast channel," in Proc. IEEE Int. Symp. Inf. Theory, Jun. 2010, pp. 2353-2357.
37. H. L. Royden, Real Analysis. : Prentice Hall, 1988.
38. A. A. E. Gamal, "The capacity of a class of broadcast channels," IEEE Trans. Inf. Theory, vol. IT-25, no. 2, pp. 166-169, Mar. 1979.
39. C.Wang, T. Gou, and S. A. Jafar, "Aiming perfectly in the dark-Blind interference alignment through staggered antenna switching," IEEE Trans. Signal Process., vol. 59, no. 6, pp. 2734-2744, Jun. 2011.
40. S. A. Jafar, "Blind interference alignment," IEEE J. Sel. Topics Signal Process., vol. 6, no. 3, pp. 216-227, Jun. 2012.
41. A. Lozano, A. M. Tulino, and S. Verdu, "High-SNR power offset in multiantenna communication," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4134-4151, Dec. 2005. (Pubitemid 41800349)
42. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
43. Y. Zhu and D. Guo, "The degrees of freedom of MIMO interference channels without state information at transmitters," IEEE Trans. Inf. Theory, vol. 58, no. 1, pp. 341-352, Jan. 2012.
44. C. S. Vaze and M. K. Varanasi, "A new outer bound via interference localization and the degrees of freedom regions of MIMO interference networks with no CSIT," IEEE. Trans. Inf. Theory, May 2011 [Online]. Available: http://arxiv.org/abs/1105.6033
45. C. S. Vaze andM. K. Varanasi, "On completing the degrees of freedom characterization of MIMO interference networks with no CSIT," presented at the presented at the IEEE Inter. Symp. Inf. Theory, St. Petersburg, Russia, Aug. 2011.
46. L. Sankar, X. Shang, E. Erkip, and H. V. Poor, "Ergodic fading interference channels: Sum-capacity and separability," IEEE Trans. Inf. Theory, vol. 57, no. 5, pp. 2605-2626, May 2011.
47. V. R. Cadambe and S. A. Jafar, "Parallel Gaussian interference channels are not always separable," IEEE Trans. Inf. Theory, vol. 55, no. 9, pp. 3983-3990, Sep. 2009.