Narrow-Band Systems and Gaussianity

Abstract

The approach to Gaussianity of the output y(t) of a narrowband system h(t) is investigated. It is assumed that the input x(t) is an a-dependent process in the sense that the random variables x(t) and x(t+u) are independent for u > a. With F(y) and G(y) the distribution function of y(t) and of a suitable normal process, a realistic bound B of the difference F(y) - G(y) is determined and it is shown that B approaches 0 as the bandwidth omega sub 0 of the system tends to zero.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1971
Accession Number
AD0733739

Entities

People

  • A. Papoulis

Organizations

  • New York University Tandon School of Engineering

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Facilities
  • Bandwidth
  • Convolution Integrals
  • Distribution Functions
  • Information Science
  • Linear Systems
  • New York
  • Power Spectra
  • Probability
  • Random Variables
  • Security
  • Shot Noise
  • Stationary Processes
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.