Fusing Heterogeneous Data for Detection Under Non-stationary Dependence

Abstract

In this paper, we consider the problem of detection for dependent, non-stationary signals where the non-stationarity is encoded in the dependence structure. We employ copula theory, which allows for a general parametric characterization of the joint distribution of sensor observations and, hence allows for a more general description of inter-sensor dependence. We design a copula-based detector using the Neyman-Pearson framework. Our approach involves a sample-wise copula selection scheme, which for a simple hypothesis test, is proved to perform better than previously used single copula selection schemes. We demonstrate the utility of our copula-based approach on simulated data, and also for outdoor sensor data collected by the Army Research Laboratory at the US southwest border.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2012
Accession Number
ADA617750

Entities

People

  • Arun Subramanian
  • Hao He
  • Pramod Varshney
  • Thyagaraju Damarla

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • C4I
  • Sensors

DTIC Thesaurus Topics

  • Computer Science
  • Data Science
  • Detection
  • Detectors
  • Distribution Functions
  • Electrical Engineering
  • Frequency
  • Maximum Likelihood Estimation
  • Military Research
  • Observation
  • Probability
  • Random Variables
  • Signal Processing
  • Stationary
  • Statistical Algorithms
  • Students
  • Warning Systems

Readers

  • Computer Vision.
  • Distributed Systems and Data Platform Development
  • Statistical inference.