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  • Research Article
  • Open Access

Compound Wiretap Channels

  • 1Email author,
  • 2,
  • 3 and
  • 4
EURASIP Journal on Wireless Communications and Networking20092009:142374

  • Received: 1 December 2008
  • Accepted: 24 August 2009
  • Published:


This paper considers the compound wiretap channel, which generalizes Wyner's wiretap model to allow the channels to the (legitimate) receiver and to the eavesdropper to take a number of possible states. No matter which states occur, the transmitter guarantees that the receiver decodes its message and that the eavesdropper is kept in full ignorance about the message. The compound wiretap channel can also be viewed as a multicast channel with multiple eavesdroppers, in which the transmitter sends information to all receivers and keeps the information secret from all eavesdroppers. For the discrete memoryless channel, lower and upper bounds on the secrecy capacity are derived. The secrecy capacity is established for the degraded channel and the semideterministic channel with one receiver. The parallel Gaussian channel is further studied. The secrecy capacity and the secrecy degree of freedom ( ) are derived for the degraded case with one receiver. Schemes to achieve the for the case with two receivers and two eavesdroppers are constructed to demonstrate the necessity of a prefix channel in encoder design. Finally, the multi-antenna (i.e., MIMO) compound wiretap channel is studied. The secrecy capacity is established for the degraded case and an achievable is given for the general case.


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Authors’ Affiliations

Department of Electrical Engineering, University of Hawaii, Honolulu, HI 96822, USA
Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90089, USA
Department of Electrical Engineering, Princeton University, Princeton, NJ 08544, USA
Department of Electrical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, 32000, Israel


© Yingbin Liang et al. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.