Detecting multiple targets simultaneously at k sites

Pinyuen Chen, S. Panchapakesan

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We present in this paper a ranking and selection formulation of the problem of detecting multiple targets simultaneously. This could be viewed as a generalization of the hypothesis testing problem for detecting a single target to a multiple decision problem for detecting multiple targets. We consider the case of all known covariance matrices as well as that of all unknown noise covariance matrices at the chosen sites. A selection procedure is proposed under each case for determining the true target sites. For each case, we derive the probability of a correct selection (P(CS)) and find the least favorable configuration where P(CS) is minimized. Tables and graphs are presented to illustrate the properties of our proposed procedures.

Original languageEnglish (US)
Pages (from-to)1667-1688
Number of pages22
JournalCommunications in Statistics - Theory and Methods
Volume33
Issue number7
DOIs
StatePublished - Jul 1 2004

Keywords

  • Indifference zone
  • Least favorable configuration
  • Preference zone
  • Ranking and selection
  • Signal processing
  • Signal-to-noise ratio

ASJC Scopus subject areas

  • Statistics and Probability

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