On the optimality of the likelihood-ratio test for local sensor decision rules in the presence of nonideal channels

Biao Chen, Peter K. Willett

Research output: Contribution to journalArticlepeer-review

141 Scopus citations

Abstract

Distributed detection has been intensively studied in the past. In this correspondence, we consider the design of local decision rules in the presence of nonideal transmission channels between the sensors and the fusion center. Under the conditional independence assumption among multiple sensor observations, we show that the optimal local decisions that minimize the error probability at the fusion center amount to a likelihood-ratio test (LRT) given a particular constraint on the fusion rule. This constraint turns out to be quite general and is easily satisfied for most sensible fusion rules. A design example using a parallel sensor fusion structure with binary-symmetric channels (BSCs) between local sensors and the fusion center is given to illustrate the usefulness of the result in obtaining optimal thresholds for local sensor observations. The study that incorporates the transmission channel in sensor system design may have potential applications in the emerging field of wireless sensor networks.

Original languageEnglish (US)
Pages (from-to)693-699
Number of pages7
JournalIEEE Transactions on Information Theory
Volume51
Issue number2
DOIs
StatePublished - Feb 1 2005

Keywords

  • Distributed detection
  • Likelihood-ratio quantizers
  • Minimum error probability
  • Sensor networks

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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