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

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Abstract

In this paper, we consider the design of local decision rules for distributed detection systems where decisions from peripheral detectors are transmitted over dependent nonideal channels. Under the conditional independence assumption among multiple sensor observations, we show that the optimal detection performance can be achieved by employing likelihood-ratio quantizers (LRQ) as local decision rules under both the Bayesian criterion and Neyman-Pearson (NP) criterion even for the cases where the channels between the fusion center and local sensors are dependent and noisy. This work generalizes the previous work where independence among such channels was assumed. A person-by-person optimization (PBPO) procedure to obtain the solution is presented along with an illustrative example.

Original languageEnglish (US)
Pages (from-to)828-832
Number of pages5
JournalIEEE Transactions on Information Theory
Volume55
Issue number2
DOIs
StatePublished - Mar 4 2009

Keywords

  • Bayesian criterion
  • Distributed detection
  • Likelihood-ratio quantizers (LRQs)
  • Neyman-Pearson (NP) criterion
  • Sensor networks

ASJC Scopus subject areas

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

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