Calculation of the Power Density in the Fredholm Equation That Yields a Weibull PDF (Power Level Density Function)

Abstract

The Fredholm equation has been solved for the power density that yields a Weibull distribution for all values of parameter alpha. The closed-form analytical solution for the power level density function pdf of the averaged clutter return is found by using an asymptotic expansion. The Fredholm equation is used to generate a Weibull distribution and the results are compared to the actual Weibull distribution and the results are compared to the actual Weibull distribution. There is particularly good agreement in the tail region of the distribution. Keywords: Non gaussian detection; Radar signal processing.

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Document Details

Document Type
Technical Report
Publication Date
Sep 14, 1988
Accession Number
ADA199773

Entities

People

  • M. W. Kim

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Asymptotic Series
  • Clutter
  • Contour Integrals
  • Detection
  • Detectors
  • Differential Equations
  • Equations
  • False Alarms
  • Gaussian Noise
  • Integrals
  • Military Research
  • Peak Values
  • Power Levels
  • Probability
  • Probability Density Functions
  • Signal Processing

Fields of Study

  • Engineering

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
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  • Forest Ecology