Effects of Video Bandwidth on the Performance of a Square Law Detector with Gaussian IF and Video Filters

Abstract

The effects of Gaussian-shaped IF and video filters on the performance of a square-law detector employing post-detection integration are analyzed. The number of additional noise-only samples that are integrated due to a finite video bandwidth is determined. Emerson's method is used to obtain an expression for the cumulants of the output probability density function. These cumulants are used in Edgeworth's asymptotic series expansion of the density functions. By integrating these density functions, the receiver operating characteristics are determined for various ratios of IF bandwidth to video bandwidth. A collapsing ratio which takes into account the Gaussian shape of the filters is formulated and compared against Barton's approximate formula for the collapsing ratio. For typical video bandwidths, Barton's approximate formula is found to overestimate the collapsing loss by an amount less than 0.5 db.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1991
Accession Number
ADA246506

Entities

People

  • Wee L. Chang

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Computers
  • Detection
  • Detectors
  • Electrical Engineering
  • Engineering
  • Equations
  • False Alarms
  • Integral Equations
  • Integrals
  • Polynomials
  • Probability
  • Probability Density Functions
  • Radar
  • Statistical Analysis
  • Statistics
  • Video Amplifiers

Fields of Study

  • Physics

Readers

  • Radar Systems Engineering.
  • Statistical inference.
  • Unmanned Aerial System (UAS) Autonomous Capabilities and Mission Reconnaissance.