Distributed detection of weak signals from one-bit measurements under observation model uncertainties

Xueqian Wang, Gang Li, Pramod Kumar Varshney

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We consider the distributed detection of weak signals from one-bit measurements collected by a sensor network where observation model uncertainties exist at all the sensor nodes. To solve this problem, a one-bit locally most powerful test (LMPT) detector is proposed in this letter. Moreover, asymptotically optimal one-bit quantizers at all the sensor nodes are designed for the proposed one-bit LMPT detector. In this letter, model uncertainties are interpreted as multiplicative noise and its variance represents the strength of model uncertainties. Theoretical analysis indicates that, when the strength of model uncertainties is finite, the proposed detector using one-bit data with π N/2 sensors approximately achieves the same detection performance as the clairvoyant detector that directly uses analog measurements with N sensors. Simulation results corroborate our theoretical analysis and show that, compared to the one-bit generalized likelihood ratio test detector, the proposed one-bit LMPT detector provides better detection performance in the presence of model uncertainties.

Original languageEnglish (US)
Article number8607002
Pages (from-to)415-419
Number of pages5
JournalIEEE Signal Processing Letters
Volume26
Issue number3
DOIs
StatePublished - Mar 1 2019

Keywords

  • Distributed detection
  • Fisher information
  • locally most powerful test
  • model uncertainty
  • quantize design

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics

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