PROBABILITY GATE STATISTICS.

Abstract

A probability gate presents a fixed but controllable transmission probability p to pulses arriving at its input. This report describes some statistical properties of the transformation imposed by a gate on the input distribution of interpulse intervals. The output distribution of interpulse intervals is derived in terms of the input density and p. A simple relation is shown to hold between the moment generating functions, and the first four output moments are derived in terms of the input moments and p. Certain restrictions on the kinds of obtainable output distributions are discussed. In particular, a condition is established which specifies when the output density is a 'replica' of the input distribution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 03, 1970
Accession Number
AD0705556

Entities

People

  • James N. Cronholm

Organizations

  • United States Army Medical Research Laboratory

Tags

DTIC Thesaurus Topics

  • Data Science
  • Information Science
  • Intervals
  • Mathematics
  • Probability
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering