Operating Characteristics for Maximum Likelihood Detection of Signals in Gaussian Noise of Unknown Level. 1. Coherent Signals of Unknown Level

Abstract

The detection and false-alarm probabilities for maximum likelihood detection of coherent signals in noise, where the signal and noise levels are unknown, are derived and evaluated. The maximum likelihood detector is shown to be optimum in the following sense: out of the class of processors that yeidls a specified false-alarm probability without knowledge of the noise level, it is uniformly most powerful for unknown (positive) signal level.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1972
Accession Number
AD0742358

Entities

People

  • Albert H. Nuttall
  • Peter G. Cable

Organizations

  • Naval Underwater Systems Center

Tags

DTIC Thesaurus Topics

  • Covariance
  • Data Science
  • Detection
  • Detectors
  • False Alarms
  • Gaussian Noise
  • Information Science
  • Noise
  • Power Levels
  • Probability
  • Probability Density Functions
  • Random Variables
  • Signal Detection
  • Signal Processing
  • Standards
  • Stochastic Processes
  • Warning Systems

Fields of Study

  • Engineering

Readers

  • Radar Systems Engineering.
  • Statistical inference.