THE PROBLEM OF IDENTIFICATION OF DISCRETETIME PROCESSES,

Abstract

A logical framework is proposed within which the problem of identification of discrete-time processes may be defined in a precise and general way. The general solution is then derived and some of its most important applications are discussed in some detail. The report is essentially divided in three parts. In the first a well-defined language is introduced in order to be able to state the problem in an unequivocal way. The basic axioms and definitions of this part lead to the general results of which the following chapters are specialized applications. In the second part the problem of identification of discrete-time processes is specifically introduced and some of its general aspects are discussed. The final part discusses in some detail a number of specific cases of particular importance. Particular attention was given to the problem of estimating the coefficients of a difference equation. It is shown that two previously proposed methods of solution for this problem may be considered as approximations of the method proposed in this report. The numerical solution of some very simple examples is included for purposes of illustration. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 27, 1963
Accession Number
AD0603739

Entities

People

  • C. A. Galtieri

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Coefficients
  • Difference Equations
  • Differential Equations
  • Equations
  • Identification
  • Language
  • Mathematical Analysis
  • Mathematics
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Systems Analysis and Design
  • Theoretical Analysis.