On MMSE properties of codes for the Gaussian broadcast channel with confidential messages

Ronit Bustin, Rafael F. Schaefer, H. Vincent Poor, Shlomo Shamai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

This work examines the properties of code sequences for the degraded scalar Gaussian broadcast channel with confidential messages (BCC) in terms of the behavior of the mutual information and minimum mean-square error (MMSE) functions for all signal-to-noise ratios (SNRs). More specifically, the work focuses on both completely secure code sequences, meaning that the transmitted message to the stronger receiver, i.e., with higher SNR, is completely secure in the equivocation sense, and code sequences with maximum equivocation. In these two cases an alternative converse proof is provided which also depicts the exact behavior of the relevant MMSE functions for all SNRs, for 'good', capacity achieving, code sequences. This means that the amount of disturbance on unintended receivers that is inflicted by 'good' code sequences is fully depicted. Moreover, the work also considers the effect that MMSE constraints, which limit the amount of disturbance on some unintended receiver, have on the capacity region of a completely secure code sequence. For maximum rate-pairs complying with the MMSE constraint, the behavior of the relevant MMSE functions for all SNRs is fully depicted.

Original languageEnglish (US)
Title of host publication2015 IEEE International Conference on Communication Workshop, ICCW 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages441-446
Number of pages6
ISBN (Electronic)9781467363051
DOIs
StatePublished - Sep 8 2015
EventIEEE International Conference on Communication Workshop, ICCW 2015 - London, United Kingdom
Duration: Jun 8 2015Jun 12 2015

Publication series

Name2015 IEEE International Conference on Communication Workshop, ICCW 2015

Other

OtherIEEE International Conference on Communication Workshop, ICCW 2015
CountryUnited Kingdom
CityLondon
Period6/8/156/12/15

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications

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    Bustin, R., Schaefer, R. F., Poor, H. V., & Shamai, S. (2015). On MMSE properties of codes for the Gaussian broadcast channel with confidential messages. In 2015 IEEE International Conference on Communication Workshop, ICCW 2015 (pp. 441-446). [7247219] (2015 IEEE International Conference on Communication Workshop, ICCW 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCW.2015.7247219