Detectors for Multinomial Input

C. C. Lee, J. B. Thomas

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The binary detection problem is considered. Under an arbitrary noise environment, the input sample space can be transformed into a multinomial vector. Based on observations of this vector, the Ney-man-Pearson optimal detector is developed for a known signal. When the signal strength is unknown, the likelihood ratio principle is followed to obtain consistent tests which use the Pearson's chi-square statistic. The resulting detectors are compared to others in terms of asymptotic relative efficiency under some actual noise distributions.

Original languageEnglish (US)
Pages (from-to)288-297
Number of pages10
JournalIEEE Transactions on Aerospace and Electronic Systems
VolumeAES-19
Issue number2
DOIs
StatePublished - Mar 1983

ASJC Scopus subject areas

  • Aerospace Engineering
  • Electrical and Electronic Engineering

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