Broadcast Channels with Confidential Messages: Channel Uncertainty, Robustness, and Continuity

  • Rafael F. SchaeferEmail author
  • Andrea Grigorescu
  • Holger Boche
  • H. Vincent Poor
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 358)


The broadcast channel with confidential messages (BCC) models the communication scenario in which a transmitter sends simultaneously common and confidential information to two receivers. The common information must be received by both receivers while the confidential information is designated for one receiver only and must be secured against the other one. The performance of this system is usually characterized by its secrecy capacity region determining the maximum transmission rates. In this chapter, the issue of whether this secrecy capacity region depends continuously on the system parameters or not is examined. In particular, this is done for compound channels, in which the users know only that the true channel realization is constant for the whole duration of transmission and this comes from a pre-specified uncertainty set. The secrecy capacity region of the compound BCC is shown to be robust in the sense that it is a continuous function of the uncertainty set. This means that small variations in the uncertainty set result in small variations in secrecy capacity.



This work of R. F. Schaefer was supported by the German Research Foundation (DFG) under Grant WY 151/2-1. This work of A. Grigorescu was supported by the German Research Foundation (DF) under Grant BO 1734/20-1. This work of H. Boche was supported by the German Ministry of Education and Research (BMBF) under Grants 01BQ1050 and 16KIS0118. This work of H. V. Poor was supported by the U.S. National Science Foundation under Grant CMMI-1435778.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Rafael F. Schaefer
    • 1
    Email author
  • Andrea Grigorescu
    • 2
  • Holger Boche
    • 2
  • H. Vincent Poor
    • 1
  1. 1.Department of Electrical EngineeringPrinceton UniversityPrincetonUSA
  2. 2.Lehrstuhl für Theoretische InformationstechnikTechnische Universität MünchenMunchenGermany

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