Target Detection Using a Linear Sum of Matched Filter Outputs

Abstract

Mathematical techniques are presented for deriving approximations to the statistical functions that characterize linear sums of matched filter outputs. The approximations are derived using two techniques: (1) Pade approximations to the multi-dimensional characteristic function, and (2) discrete Rayleigh mixtures based on an exact or approximate form of the echo power probability density function. It is also shown how these two techniques are related to each other mathematically.

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Document Details

Document Type
Technical Report
Publication Date
Jun 30, 1999
Accession Number
ADA365573

Entities

People

  • David M. Drumheller
  • Henry Lew

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Data Analysis
  • Data Science
  • Detection
  • False Alarms
  • Filters
  • Frequency
  • Information Science
  • Matched Filters
  • Military Research
  • Numbers
  • Phase Shift
  • Probability
  • Probability Density Functions
  • Random Variables
  • Statistical Functions
  • Statistics
  • Target Detection

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.