Secure degrees of freedom of MIMO Rayleigh block fading wiretap channels with no CSI anywhere

IEEE Transactions on Wireless Communications

Volumn 14, Issue 5, 2015, Pages 2655-2669

  Liu, Ta Yuan ^a   Mukherjee, Pritam ^b   Ulukus, Sennur ^b   Lin, Shih Chun ^c   Peter Hong, Y W ^a  

^a NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^b UNIVERSITY OF MARYLAND   (United States)

^c NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

multiple input multiple output (MIMO); non coherent communications; Physical layer secrecy; Rayleigh block fading; secure degrees of freedom; wiretap channel

Indexed keywords

ANTENNAS; CODES (SYMBOLS); COMMUNICATION CHANNELS (INFORMATION THEORY); DEGREES OF FREEDOM (MECHANICS); FEEDBACK CONTROL; LOCAL AREA NETWORKS; MECHANICS; MIMO SYSTEMS; MOBILE SECURITY; NETWORK LAYERS; RAYLEIGH FADING; TELECOMMUNICATION REPEATERS; TRANSMITTERS;

BLOCK FADING; CHANNEL GAINS; CHANNEL INPUTS; COHERENT COMMUNICATION; MULTIPLE DIMENSIONS; PHYSICAL-LAYER SECRECIES; RAYLEIGH; WIRE-TAP CHANNELS;

CHANNEL STATE INFORMATION;

EID: 84929353100     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2015.2390234     Document Type: Article

References (27)

1. C. E. Shannon, "Communication theory of secrecy systems," Bell Syst. Tech. J., vol. 28, no. 4, pp. 656-715, Oct. 1949.
2. A. D. Wyner, "The wire-tap channel," Bell Sys. Techn. J., vol. 54, no. 8, pp. 1355-1387, Oct. 1975.
3. I. Csiszár and J. Körner, "Broadcast channels with confidential messages," IEEE Trans. Inf. Theory, vol. 24, no. 3, pp. 339-348, May 1978.
4. S. Leung-Yan-Cheong and M. Hellman, "The Gaussian wiretap channel," IEEE Trans. Inf. Theory, vol. 24, no. 4, pp. 451-456, Jul. 1978.
5. S. Shafiee, N. Liu, and S. Ulukus, "Towards the secrecy capacity of the Gaussian MIMO wire-tap channel: The 2-2-1 channel," IEEE Trans. Inf. Theory, vol. 55, no. 9, pp. 4033-4039, Sep. 2009.
6. A. Khisti and G. Wornell, "Secure transmission with multiple antennas II: TheMIMOME wiretap channel," IEEE Trans. Inf. Theory, vol. 56, no. 11, pp. 5515-5532, Nov. 2010.
7. F. Oggier and B. Hassibi, "The secrecy capacity of the MIMO wiretap channel," IEEE Trans. Inf. Theory, vol. 57, no. 8, pp. 4961-4972, Aug. 2011.
8. T. Liu and S. Shamai, "A note on the secrecy capacity of the multi-antenna wiretap channel," IEEE Trans. Inf. Theory, vol. 55, no. 6, pp. 2547-2553, Jun. 2009.
9. Y. Liang and H. V. Poor, "Secure communication over fading channels," in Proc. 44th Annu. Allerton Conf. Commun., Control, Comput., Sep. 2006, pp. 817-823.
10. Z. Li, R. D. Yates, and W. Trappe, "Secrecy capacity of independent parallel channels," in Proc. 44th Annual Allerton Conf. Commun., Control, Comput., Sep. 2006, pp. 841-848.
11. Y. Liang, H. V. Poor, and S. Shamai, "Secure communication over fading channels," IEEE Trans. Inf. Theory, vol. 54, no. 6, pp. 2470-2492, Jun. 2008.
12. Z. Li, R. D. Yates, and W. Trappe, "Secrecy capacity of independent parallel channels," in Securing Wireless Communications at the Physical Layer, R. Liu and W. Trappe, Eds. New York, NY, USA: Springer-Verlag, 2010, pp. 1-18.
13. P. K. Gopala, L. Lai, and H. El Gamal, "On the secrecy capacity of fading channels," IEEE Trans. Inf. Theory, vol. 54, no. 10, pp. 4687-4698, Oct. 2008.
14. Z. Li, R. D. Yates, and W. Trappe, "Achieving secret communication for fast rayleigh fading channels," IEEE Trans. Wireless Commun., vol. 9, no. 9, pp. 2792-2799, Sep. 2010.
15. S.-C. Lin and C.-L. Lin, "On secrecy capacity of fast fading MIMOME wiretap channels with statistical CSIT," IEEE Trans. Wireless Commun., vol. 13, no. 6, pp. 3293-3306, Jun. 2014.
16. X. He and A. Yener, "MIMO wiretap channels with unknown and varying eavesdropper channel states," IEEE Trans. Inf. Theory, vol. 60, no. 11, pp. 6844-6869, Nov. 2014.
17. S. Yang, M. Kobayashi, P. Piantanida, and S. Shamai, "Secrecy degrees of freedom of MIMO broadcast channels with delayed CSIT," IEEE Trans. Inf. Theory, vol. 59, no. 9, pp. 5244-5256, Sep. 2013.
18. L. Czap, V. M. Prabhakaran, S. Diggavi, and C. Fragouli, "Broadcasting private messages securely," in Proc. IEEE Int. Symp. Inf. Theory, Jul. 2012, pp. 428-432.
19. G. Caire, N. Jindal, M. Kobayashi, and N. Ravindran, "Quantized vs. analog feedback for the MIMO broadcast channel: A comparison between zero forcing based achievable rates," in Proc. IEEE Int. Symp. Inf. Theory, Jun. 2007, pp. 2046-2050.
20. P. Mukherjee and S. Ulukus, "Fading wiretap channel with no CSI anywhere," in Proc. IEEE Int. Symp. Inf. Theory, Jul. 2013, pp. 1347-1351.
21. T. L. Marzetta and B. M. Hochwald, "Capacity of a mobile multipleantenna communication link in Rayleigh flat fading," IEEE Trans. Inf. Theory, vol. 45, no. 1, pp. 139-157, Jan. 1999.
22. L. Zheng and D. N. C. Tse, "Communication on the Grassmann manifold: A geometric approach to the noncoherent multiple-antenna channel," IEEE Trans. Inf. Theory, vol. 48, no. 2, pp. 359-383, Feb. 2002.
23. T. M. Cover and J. A. Thomas, Elements of Information Theory, 2nd ed. Hoboken, NJ, USA: Wiley, 2006.
24. M. van Dijk, "On a special class of broadcast channels with confidential messages," IEEE Trans. Inf. Theory, vol. 43, no. 2, pp. 712-714, Mar. 1997.
25. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1990.
26. A. W. Marshall, I. Olkin, and B. C. Arnold, Inequalities: Theory of Majorization and Its Applications, 2nd ed. New York, NY, USA: Springer-Verlag, 2011, ser. Springer series in statistics.
27. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.