Algorithms for Optimum Detection of Signals in Gaussian Noise

Abstract

Algorithms are presented for detection of signals in Gaussian noise. The signals can be Gaussian or nonGaussian. The algorithms are derived from a general solution to the continuous-time problem, and are approximations to the continuous-time likelihood ratio. They do not require knowledge of the probability distributions for the signal-plus-noise process, but instead require knowledge (or estimation) of a function. Independent sampling is not assumed. One algorithm is fully adaptive to the signal-plus-noise process. The algorithms have the potential of providing significant performance improvements, as compared to classical detection methods, when the signal-plus-noise process is broadband (stationary or nonstationary), and particularly when it is nonGaussian.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1991
Accession Number
ADA256896

Entities

People

  • C. R. Baker

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Data Science
  • Detection
  • Differential Equations
  • Equations
  • Gaussian Noise
  • Gaussian Processes
  • Information Science
  • Mathematical Models
  • Mathematics
  • Numerical Analysis
  • Probability
  • Probability Distributions
  • Random Variables
  • Signal Detection
  • Stochastic Processes

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Computer Vision.
  • Phased Array Antenna Design.