On ARMA (Autoregressive Moving Average) Representations for White Noise in a Markovian Environment.

Abstract

Autoregressive moving average (ARMA) models are frequently used to describe disturbances associated with signals. Usually, such processes are discussed in the context of finite dimensional linear systems. In this note, the author shows, that ARMA models also occur in a rather different setting, namely as descriptions of white noise in a randomly varying environment. Such a result is useful in better understanding the proper role of ARMA processes in systems theory.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1983
Accession Number
ADA136354

Entities

People

  • P. W. Glynn

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Biological Phenomena
  • Environment
  • Linear Systems
  • Low Humidity
  • Markov Chains
  • Mathematics
  • Military Research
  • Noise
  • North Carolina
  • Polynomials
  • Random Variables
  • Sequences
  • Stationary
  • Stochastic Processes
  • United States
  • White Noise
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Statistical inference.