REPRESENTATION AND ANALYSIS OF SIGNALS PART XII. THE DESIGN OF PURE SYSTEMS.

Abstract

In this final report, the accomplishments of a research program on representation of signals are surveyed and briefly summarized. Abstracts are given in an appendix of the technical reports that have been published since the inception of the program in 1956. The main body of the report is devoted to a coordinate-free formu lation, using Dirac's notation as extended by Lai and Ross, of some of the central concepts of linear-system theory. The notation provides a clear distinction between signals (i.e. observa bles) and patterns (i.e. measurement processes) and the numerical representatives which describes these signals or patterns on some numerical domain. It is hoped that the discussion will reveal how badly confounded numbers have become with that which the numbers represent, and will suggest ways in which recent developments in modern algebra may be incorporated into engi5eer ing education and practice. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1962
Accession Number
AD0411401

Entities

People

  • W.h. Huggins

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Education
  • Linear Systems
  • Notation

Readers

  • Mathematical Modeling and Probability Theory.
  • Snow Cover Descriptors for Reptiles and Their Illustrations.
  • Theoretical Analysis.