Multistream quickest change detection: Asymptotic optimality under a sparse signal

Georgios Fellouris, George V. Moustakides, Venu V. Veeravalli

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

Abstract

In multichannel sequential change detection, multiple sensors monitor a system in which an abrupt change occurs at some unknown time and is perceived by an unknown subset of sensors. The goal is to detect this change quickly, while controlling the rate of false alarms. In the traditional asymptotic analysis of this problem, the false alarm rate goes to 0 while all other parameters remain fixed. We argue that this framework is not very informative, as the corresponding asymptotic optimality property cannot differentiate between universal and parsimonious rules. We propose an asymptotic framework in which the number of sensors also goes to infinity, and we show that in this context universal rules may fail to be asymptotically optimal when the number of streams is not very small. On the other hand, parsimonious rules are shown to be asymptotically optimal under reasonable sparsity conditions.

Original languageEnglish (US)
Title of host publication2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6444-6447
Number of pages4
ISBN (Electronic)9781509041176
DOIs
StatePublished - Jun 16 2017
Event2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - New Orleans, United States
Duration: Mar 5 2017Mar 9 2017

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149

Other

Other2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017
Country/TerritoryUnited States
CityNew Orleans
Period3/5/173/9/17

Keywords

  • CUSUM
  • Multichannel
  • Multisensor
  • Sequential Change Detection
  • Sparse

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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