ZERO-CROSSING INTERVALS OF RAYLEIGH PROCESSES.

Abstract

This report presents experimental results concerning probabilities and probability densities defined by the zerocrossing points of the envelope of a sine wave plus a Gaussian process. It is shown that these probabilities and probability densities are similar to the corresponding probabilities and probability densities defined by an associated Gaussian process. At present none of the probabilities or probability densities can be derived explicitly by analytical methods. The standard deviations associated with the probability densities are also presented. The first moments associated with the probability densities are compared with exact theoretical values. All other experimental results are compared with theoretical approximations. Probabilities and probability densities defined by the mathematical stationary points of the envelope of a sine wave plus a Gaussian process are also investigated. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1964
Accession Number
AD0600393

Entities

People

  • A. J. Rainal

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Crossings
  • Data Science
  • Gaussian Processes
  • Information Science
  • Intervals
  • Mathematics
  • Probability
  • Sine Waves
  • Standards
  • Stationary
  • Waves

Readers

  • Statistical inference.