Some Aspects of a Theory of Correlation with Respect to Walsh Harmonic Analysis,

Abstract

Walsh Functions have recently found some applications in different areas of signal and system processing and in communications. The symposium 'Applications of Walsh Functions' at Naval Research Laboratory, Washington, 31 March-3 April 1970, demonstrated that there exists a broad interest on this subject. This paper should be both, a research work but also a tutorial work. Chapters 2, 3 and 4 give a short introduction to some concepts of the theory of Walsh Functions. Chapter 5 deals with questions concerning dyadic correlation functions. Chapter 6 presents the logical correlation theory of E. Gibbs. Chapter 7 deals with system-theoretical questions on dyadic invariant systems. The theory of Nailor-LaBarre is applied to finite discrete dyadic invariant systems. Finally logical differential operators are considered as dyadic invariant systems.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1970
Accession Number
AD0714596

Entities

People

  • Franz Pichler

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Buildings And Structures
  • Harmonic Analysis
  • Mathematics
  • Military Research
  • Research Facilities
  • Walsh Functions

Fields of Study

  • Mathematics

Readers

  • Academic Conference Management
  • Business Analytics
  • Calculus or Mathematical Analysis