Skip to main content

Secrecy Capacity of Independent Parallel Channels

  • Chapter
  • First Online:
Securing Wireless Communications at the Physical Layer

Abstract

Ensuring the confidentiality of communications is fundamental to securing any network. This requirement becomes particularly important for wireless systems, where eavesdropping is facilitated by the broadcast nature of the wireless medium. Rather than physically guard the communication medium to provide confidentiality, the traditional approach is to employ cryptographic algorithms to ensure that only legitimate users can correctly interpret the messages, while all other entities fail to glean any useful information.

Portions of the material have appeared previously in “Secrecy Capacity of Independent Parallel Channels,” Proceedings of the Forty-Fourth Annual Allerton Conference, 2006.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. Shannon. Communication theory of secrecy systems. Bell Sys. Tech. J., 28:657–715, 1949.

    Google Scholar 

  2. A. Wyner. The wire-tap channel. Bell. Syst. Tech. J., 54(8):1355–1387, January 1975.

    MathSciNet  Google Scholar 

  3. I. Csiszár and J. Körner. Broadcast channels with confidental messages. IEEE Trans. on Inf. Theory, 24(3):339–348, May 1978.

    Article  MATH  Google Scholar 

  4. Ueli M. Maurer and Stefan Wolf. Information-theoretic key agreement: From weak to strong secrecy for free. In EUROCRYPT, pages 351–368, 2000.

    Google Scholar 

  5. C. Bennett, G. Brassard, C. Crepeau, and U. M. Maurer. Generalized privacy amplification. IEEE Trans. on Information Theory, 41:1915–1923, 1995.

    Article  MATH  MathSciNet  Google Scholar 

  6. J. Körner and K. Marton. Comparison of two noisy channels. In I. Csiszár and P. Elias, editors, Topics In Information Theory, pages 411–423. Colloquia Mathematica Societatis Janos Bolyai, Amsterdam, The Netherlands: North Holland, 1977.

    Google Scholar 

  7. S. Boyd and L. Vandenberghe. Convex Optimization. Cambridge University Press, 2004.

    Google Scholar 

  8. M. Van Dijk. On a special class of broadcast channels with confidential messages. IEEE Trans. Information Theory, 43(2):712–714, March 1997.

    Article  MATH  Google Scholar 

  9. S. K. Leung-Yan-Cheong and M. Hellman. The gaussian wire-tap channel. Information Theory, IEEE Transactions on, 24(4):451–456, Jul 1978.

    Article  MATH  MathSciNet  Google Scholar 

  10. D. Tse and P. Viswanath. Fundamentals of Wireless Communication. Cambridge University Press, 2005.

    Google Scholar 

  11. A. J. Goldsmith and P. P. Varaiya. Capacity of fading channels with channel side information. IEEE Transactions on Information Theory, 43(6):pp. 1986–1992, Nov. 1997.

    Article  MATH  MathSciNet  Google Scholar 

  12. G. Caire and S. Shamai. On the capacity of some channels with channel state information. IEEE Transactions on Information Theory, 45(6):2007–2019, Sep. 1999.

    Article  MATH  MathSciNet  Google Scholar 

  13. S. Verdú. Spectral efficiency in the wideband regime. IEEE Trans. on Information Theory, 48(6):1319–1343, June 2002.

    Article  MATH  Google Scholar 

  14. E. Telatar and D. N. C. Tse. Capacity and mutual information of wideband multipath fading channels. IEEE Trans. on Information Theory, 46(4):1384–1400, July 2000.

    Article  MATH  MathSciNet  Google Scholar 

  15. M. Medard and R.G. Gallager. Bandwidth scaling for fading multipath channels. IEEE Trans. Inform. Theory, 48(6):840–852, April 2002.

    Article  MATH  MathSciNet  Google Scholar 

  16. S. Verdu. Recent results on the capacity of wideband channels in the low-power regime. IEEE Wireless Communications, pages 40–45, August 2002.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zang Li .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Li, Z., Yates, R., Trappe, W. (2009). Secrecy Capacity of Independent Parallel Channels. In: Liu, R., Trappe, W. (eds) Securing Wireless Communications at the Physical Layer. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1385-2_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4419-1385-2_1

  • Published:

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-1384-5

  • Online ISBN: 978-1-4419-1385-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics