Data-Efficient Minimax Quickest Change Detection in a Decentralized System

Taposh Banerjee, Venugopal V. Veeravalli

Research output: Contribution to journalArticlepeer-review

Abstract

Abstract: A sensor network is considered where a sequence of random variables is observed at each sensor. At each time step, a processed version of the observations is transmitted from the sensors to a common node called the fusion center. At some unknown point in time the distribution of the observations at all of the sensor nodes changes. The objective is to detect this change in distribution as quickly as possible, subject to constraints on the false alarm rate and the cost of observations taken at each sensor. Minimax problem formulations are proposed for the above problem. A data-efficient algorithm is proposed in which an adaptive sampling strategy is used at each sensor to control the cost of observations used before change. To conserve the cost of communication an occasional binary digit is transmitted from each sensor to the fusion center. It is shown that the proposed algorithm is globally asymptotically optimal for the proposed formulations, as the false alarm rate goes to zero.

Original languageEnglish (US)
Pages (from-to)148-170
Number of pages23
JournalSequential Analysis
Volume34
Issue number2
DOIs
StatePublished - Apr 3 2015

Keywords

  • Asymptotic optimality
  • Minimax
  • Observation control
  • Quickest change detection
  • Sensor networks

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation

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