Evaluation of Probability of Detection for Several Target Fluctuation Models

Abstract

Highly efficient algorithms have been derived for calculating the probability of detection, P sub D, for several target fluctuation models. These include the Marcum model (constant target cross section) and the four Swerling models (chi-squared fluctuations). Programs are presented in computer free notation as well as FORTRAN (for accuracies of 0,000001 and 10 to the minus 12 power for each of the models. In addition, an approximate expression for the elevation of P sub D, applicable when the target return is constant during a scan but exhibits log-normal fluctuation from scan-to-scan, is presented, together with a listing of a FORTRAN program that evaluates the expression. An efficient iterative routine for the determination of the threshold from the probability of false alarm is also included.

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Document Details

Document Type
Technical Report
Publication Date
Jul 08, 1975
Accession Number
ADA013733

Entities

People

  • David A. Shnidman

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Algorithms
  • Backscattering
  • Computations
  • Computers
  • Detection
  • Errors
  • False Alarms
  • Notation
  • Precision
  • Probability
  • Procedures (Computers)
  • Target Detection
  • Targets
  • Test And Evaluation
  • Warning Systems

Fields of Study

  • Physics

Readers

  • Computer Science.
  • Radar Systems Engineering.
  • Regression Analysis.