Finite-Sum Expressions for Signal Detection Probabilities

Abstract

A unified approach is applied to the derivation of a number of formulas for the probability of signal detection and the probability of false alarm. The context is incoherent integration, with fluctuating signal-to-noise ratios and/or fluctuating thresholds. The standard results are obtained and extended to more general fluctuation models. A fundamental duality is established between fluctuating signals and fluctuating thresholds and used to simplify the derivations. Also included is an expression of the cumulative F-distribution as a finite sum of Marcum Q-functions.

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Document Details

Document Type
Technical Report
Publication Date
May 20, 1981
Accession Number
ADA102143

Entities

People

  • Edward J. Kelly

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Bessel Functions
  • Computations
  • Detection
  • Detectors
  • False Alarms
  • Infinite Series
  • Integrals
  • Probability
  • Probability Distributions
  • Random Variables
  • Sequences
  • Signal Detection
  • Standards
  • Test And Evaluation
  • Warning Systems

Fields of Study

  • Engineering
  • Physics

Readers

  • Radar Systems Engineering.
  • Statistical inference.