The Uncertainty of Pulse Position Due to Noise

Abstract

The time at which a received signal crosses a certain level fluctuates in the presence of noise. A theoretical formula for the standard deviation of this thresholding time is obtained. The formula is applied to the detection of a pulse perturbed by Gaussian noise. Two practical detection schemes, the peak-amplitude estimator and the double differentiator, are theoretically analyzed and compared. Also, a formula is derived which may be used to determine the efficacy of a false-alarm detection system.

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Document Details

Document Type
Technical Report
Publication Date
May 31, 1972
Accession Number
AD0745294

Entities

People

  • Don J. Torrieri

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Data Science
  • Detection
  • Detectors
  • Distribution Functions
  • False Alarms
  • Gaussian Noise
  • Gaussian Processes
  • Inequalities
  • Power Spectra
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Stochastic Processes
  • Transfer Functions
  • Uncertainty
  • Warning Systems

Fields of Study

  • Physics

Readers

  • Acoustics.
  • Approximation Theory.
  • Radar Systems Engineering.