A NEW METHOD FOR FINDING OPTIMAL SIGNAL DETECTORS AND ESTIMATORS IN THE PRESENCE OF NOISE,

Abstract

A new method for finding solutions to the problems of (1) detecting a known signal in Gaussian noise, (2) detecting a Guassian signal in Gaussian noise, and (3) the problem of finding the best linear estimate of signals in noise. It is shown that all three problems can be reduced to the problem of solving a generalized integral equation. The main result is a new method for solving such equations. The method is general in that it is applicable to any ordinary integral equation with a positive definite kernel. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1969
Accession Number
AD0692701

Entities

People

  • Percy A. Pierre
  • William L. Root

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Detectors
  • Equations
  • Estimators
  • Gaussian Noise
  • Integral Equations
  • Integrals
  • Mathematics
  • Noise

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.