A SIMPLE APPROACH TO THE ZERO-CROSSING PROBLEM.

Abstract

Given a normal stationary process x(t) with zero mean, the probability p(delta t) that x(t) = o is solved for some t in the interval (t sub o, t sub o + delta t). It is found that cos(pi p(delta t)) = R(delta t)/R(0), where R(tau) is the autocorrelation of x(t).

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0624265

Entities

People

  • A. Papoulis

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Autocorrelation
  • Computing-Related Activities
  • Crossings
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Probability
  • Random Variables
  • Stationary
  • Stationary Processes
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Statistical inference.