Asymptotic Perfect Secrecy in Distributed Detection Against a Global Eavesdropper

Jun Guo, Xia Li, Uri Rogers, Hao Chen

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

2 Scopus citations

Abstract

This paper examines the secrecy in distributed detection under threat of a global eavesdropper (Eve) which has access to all sensors decisions. To measure secrecy, we compare the detection performance at the fusion center (FC) and at Eve in terms of their respective Kullback-Leibler Divergence (KLD). When the channels between sensors and the FC are noiseless and the channels between sensors and Eve are noisy, we show that the KLD ratio between the FC and Eve can be made arbitrarily large, provided the log-likelihood ratio at local sensors is unbounded. As a result, a perfect secrecy can be achieved asymptotically by making the KLD at Eve arbitrarily small with almost 0 detectability while keeping the KLD at the FC arbitrary large, for an almost error-free detection. This result reveals an intriguing relationship between networks size and networks secrecy.

Original languageAmerican English
Title of host publication2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3501-3505
Number of pages5
ISBN (Electronic)978-1-4799-9987-3
ISBN (Print)978-1-4799-9988-0
DOIs
StatePublished - 2016

Publication series

NameIEEE International Conference on Acoustics, Speech, and Signal Processing: Proceedings
Publisher Institute of Electrical and Electronics Engineers Inc.
ISSN (Electronic)2379-190X

Keywords

  • asymptotic perfect secrecy
  • distributed detection
  • eavesdropping
  • wireless sensor networks

EGS Disciplines

  • Electrical and Computer Engineering

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