Statistics for Peak Values of Multiple Coherence.

Abstract

The objective of this work is to determine the performance of the maximum (or peak) of estimates of the magnitude-squared coherence (MSC) on a passive ambiguity surface as a detection statistic. The method chosen to measure the objective was the receiver operating characteristic (ROC) curves which plot the probability of detection versus the false alarm rate. To obtain the ROC curves, the probability distribution function of the maximum value of the MSC estimates for noise only, along with noise and signal present, are developed. These probability distribution and density functions are then used to establish a Neyman-Pearson hypotheses test for signal detection. The signal detection results are presented as ROC curves which depend on the size of the surface over which the maximum is taken, the true coherence, and the number of degrees of freedom of the individual estimates of the MSC. These results are then extended to multiple coherence. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 28, 1980
Accession Number
ADA095460

Entities

People

  • D. M. Klamer

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Cross Correlation
  • Detection
  • Distribution Functions
  • Doppler Effect
  • False Alarms
  • Information Science
  • Peak Values
  • Probability
  • Probability Density Functions
  • Probability Distribution Functions
  • Probability Distributions
  • Random Variables
  • Signal Detection
  • Signal Processing
  • Statistical Analysis
  • Statistics
  • Warning Systems

Readers

  • Approximation Theory.
  • Sensor Fusion and Tracking Systems.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference