DIGITAL-COMPUTER IMPLEMENTATION OF LINEAR SYSTEMS.

Abstract

The realization of linear discrete systems, in an effective and efficient form, is the concern of this study. Emphasis is placed on problems of real-time implementation of such systems for uses including control of physical systems and on-line signal processing as well as system modeling. Recursive discrete systems are utilized, and methods are given for obtaining a set of equations for realizing, on the digital computer, an equivalent to a linear system. Results of particular note include: (1) a study of methods for selecting the sample rate for a digital realization of an equivalent continuous system; (2) a comparison of discrete and continuous convolution and the determination of weighting functions; and (3) a study of the need for a data-reconstruction of 'hold' circuit in the sampled-data realization of a continuous system. From these, the best form of the resultant difference equations for digital realization, in terms of accuracy, stability, and computer requirements, can be determined. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0813133

Entities

People

  • Patrick E. Mantey

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computers
  • Convolution
  • Difference Equations
  • Digital Computers
  • Equations
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Signal Processing
  • Weighting Functions

Readers

  • Approximation Theory.
  • Control Systems Engineering.