Secure communication in stochastic wireless networks - Part II: Maximum rate and collusion

IEEE Transactions on Information Forensics and Security

Volumn 7, Issue 1 PART 2, 2012, Pages 139-147

  Pinto, Pedro C ^a   Barros, Joo ^b   Win, Moe Z ^c  

^a EPFL   (Switzerland)

^b UNIVERSITY OF PORTO   (Portugal)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Colluding eavesdroppers; physical layer security; secrecy capacity; stochastic geometry; wireless networks

Indexed keywords

COLLUDING EAVESDROPPERS; LARGE-SCALE NETWORK; LOCAL CONNECTIVITY; PHYSICAL-LAYER SECURITY; RANDOM GRAPHS; S-GRAPH; SECRECY CAPACITY; SECRECY PROPERTIES; SECURE COMMUNICATIONS; STOCHASTIC GEOMETRY;

COMPUTER NETWORKS; SAFETY ENGINEERING; WIRELESS NETWORKS;

STOCHASTIC SYSTEMS;

EID: 84855911932     PISSN: 15566013     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIFS.2011.2165947     Document Type: Article

References (21)

1. C. E. Shannon, "Communication theory of secrecy systems," Bell Syst. Tech. J., vol. 29, pp. 656-715, 1949.
2. A. D. Wyner, "The wire-tap channel," Bell Syst. Tech. J., vol. 54, no. 8, pp. 1355-1367, Oct. 1975.
3. R. Ahlswede and I. Csiszar, "Common randomness in information theory and cryptography - Part I: Secret sharing," IEEE Trans. Inf. Theory, vol. 39, no. 4, pp. 1121-1132, Jul. 1993.
4. A. Hero, "Secure space-time communication," IEEE Trans. Inf. Theory, vol. 49, no. 12, pp. 3235-3249, Dec. 2003.
5. P. Parada and R. Blahut, "Secrecy capacity of SIMO and slow fading channels," in Proc. IEEE Int. Symp. Inf. Theory, Adelaide, Australia, Sep. 2005, pp. 2152-2155. (Pubitemid 44508426)
6. M. Bloch, J. Barros, M. R. D. Rodrigues, and S. W. McLaughlin, "Wireless information-theoretic security," IEEE Trans. Inf. Theory, vol. 54, no. 6, pp. 2515-2534, Jun. 2008.
7. Z. Li, R. Yates, and W. Trappe, "Secrecy capacity of independent parallel channels," in Proc. Annu. Allerton Conf. Communication, Control and Computing, Sep. 2006, pp. 841-848.
8. P. Gopala, L. Lai, and H. El Gamal, On the Secrecy Capacity of Fading Channels Arxiv, 2006 [Online]. Available: cs.IT/0610103, to be published
9. S. Goel and R. Negi, "Secret communication in presence of colluding eavesdroppers," in Proc. Military Commun. Conf., Oct. 2005, pp. 1501-1506.
10. P. C. Pinto, J. O. Barros, and M. Z. Win, "Secure communication in stochastic wireless networks-Part I: connectivity," IEEE Trans. Inf. Forensics Security, vol. 7, no. 1, Feb. 2011.
11. D. Tse and P.Viswanath, Fundamentals ofWireless Communication. Cambridge, U.K.: Cambridge Univ. Press, 2005.
12. T. M. Cover and J. A. Thomas, Elements of Information Theory, 2nd ed. Hoboken, NJ: Wiley-Interscience, 2006.
13. S. Leung-Yan-Cheong and M. Hellman, "The Gaussian wire-tap channel," IEEE Trans. Inf. Theory, vol. IT-24, no. 4, pp. 451-456, Jul. 1978.
14. G. Samoradnitsky and M. Taqqu, Stable Non-Gaussian Random Processes. London, U.K.: Chapman & Hall, 1994.
15. M. Z. Win, P. C. Pinto, and L. A. Shepp, "A mathematical theory of network interference and its applications," Special Issue on Ultra- Wide Bandwidth (UWB) Technology and Emerging Applications, Proc. IEEE, vol. 97, no. 2, pp. 205-230, Feb. 2009.
16. A. Thangaraj, S. Dihidar, A. R. Calderbank, S. McLaughlin, and J.-M. Merolla, "On achieving capacity on the wire tap channel using LDPC codes," in Proc. IEEE Int. Symp. Inf. Theory, 2005.
17. A. Thangaraj, S. Dihidar, A. R. Calderbank, S. W. McLaughlin, and J.-M. Merolla, "Applications of LDPC codes to the wiretap channel," IEEE Trans. Inf. Theory, vol. 53, no. 8, pp. 2933-2945, Aug. 2007. (Pubitemid 47249863)
18. J. Muramatsu, "Secret key agreement from correlated source outputs using low density parity check matrices," IEICE Trans. Fund. Elec. Commun. Comp., vol. E89-A, no. 7, pp. 2036-2046, Jul. 2006. (Pubitemid 44290411)
19. H. Mahdavifar and A. Vardy, Achieving the Secrecy Capacity of Wiretap Channels Using Polar Codes 2010 [Online]. Available: http://arxiv.org/abs/1001. 0210
20. J. Kingman, Poisson Processes. London, U.K.: Oxford Univ. Press, 1993.
21. V. M. Zolotarev, "Mellin-Stieltjes transforms in probability theory," Theory of Probability and its Applications, vol. 2, p. 433, 1957.