Detection of dependent heavy-tailed signals

Arun Subramanian, Ashok Sundaresan, Pramod K. Varshney

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

This paper examines the problem of detection of dependent α-stable signals. Measurements of several phenomena exhibit non-Gaussian, heavy-tailed behavior in their probability density functions (p.d.f.); we use the class of α -stable distributions to characterize these signals. When two sensors make simultaneous measurements of such phenomena, these heavy-tailed realizations are dependent across sensors. The intersensor dependence is modeled using copulas. We consider a two-sided test in the Neyman-Pearson framework and present an asymptotic analysis of the generalized likelihood test (GLRT). Both, nested and non-nested models are considered in the analysis. The performance of the proposed scheme is evaluated numerically on simulated data, as well as indoor seismic data. With appropriately selected models, our results demonstrate that a high probability of detection can be achieved for false alarm probabilities of the order of 10-4.

Original languageEnglish (US)
Article number7054546
Pages (from-to)2790-2803
Number of pages14
JournalIEEE Transactions on Signal Processing
Volume63
Issue number11
DOIs
StatePublished - Jun 1 2015

Keywords

  • Copula theory
  • dependence modeling
  • detection
  • heavy-tailed signals
  • heterogeneous sensing
  • information fusion
  • sensor fusion

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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