Detection Performance of Signals in Dependent Noise From a Gaussian Mixture Uncertainty Class.

Abstract

Detection performance in terms of probabilities of detection and false alarm (PD and PF) is derived for a desired signal embedded in dependent (correlated) multivariate noise from a Gaussian mixture uncertainty class. This uncertainty class is defined using upper and lower bounding functions on the univariate Gaussian mixing distribution function. For a given detector operating point, expressions for PD and PF are derived. In addition, nontrivial lower and upper bounds of performance are derived which are functions of the bounding functions of the uncertainty class, the detection threshold, and the desired signal strength (only for PD).

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Document Details

Document Type
Technical Report
Publication Date
Aug 31, 1998
Accession Number
ADA352456

Entities

People

  • K. R. Gerlach

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Clutter
  • Detection
  • Detectors
  • Distribution Functions
  • False Alarms
  • Matched Filters
  • Military Research
  • Probability
  • Radar Clutter
  • Random Variables
  • Sea Clutter
  • Signal Processing
  • Stationary Processes
  • Statistics
  • Stochastic Processes
  • Uncertainty
  • Warning Systems

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Sensor Fusion and Tracking Systems.
  • Statistical inference.