The individual secrecy capacity of the Gaussian SISO and degraded Gaussian MIMO multi-receiver wiretap channel

Ahmed S. Mansour, Rafael F. Schaefer, Holger Boche

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

We study secure communication in which a transmitter wants to send confidential messages to an arbitrary number of receivers in the presence of an external eavesdropper. We consider two classes of Gaussian channels: The Gaussian single-input single-output (SISO) multi-receiver wiretap channel and the degraded Gaussian multiple-input multiple-output (MIMO) multi-receiver wiretap channel. These two channels belong to the class of degraded multi-receiver wiretap channels. In previous literature the secrecy capacity regions of these two channels were established under the conservative joint secrecy constraint. Thus, we focus our work on the less conservative individual secrecy constraint, which is characterized by a higher throughput. We establish the individual secrecy capacity region for these two cases. The achievability follows from the individual secrecy capacity established for the discrete memoryless degraded wiretap channels where coding is performed using Gaussian signals. On the other hand, the converse is established by adapting the techniques used for formulating the joint secrecy capacity region to the individual secrecy constraint.

Original languageEnglish
Title of host publicationSPAWC 2015 - 16th IEEE International Workshop on Signal Processing Advances in Wireless Communications
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages365-369
Number of pages5
ISBN (Electronic)9781479919307
DOIs
StatePublished - 27 Aug 2015
Event16th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2015 - Stockholm, Sweden
Duration: 28 Jun 20151 Jul 2015

Publication series

NameIEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC
Volume2015-August

Conference

Conference16th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2015
Country/TerritorySweden
CityStockholm
Period28/06/151/07/15

Keywords

  • Conferences
  • Covariance matrices
  • Joints
  • MIMO
  • Markov processes
  • Receivers
  • Wireless communication

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