On the Application of Haar Functions

Abstract

Recent interest in the application of Walsh functions suggests that Haar functions, close relatives of Walsh functions, may also be useful. In this primarily tutorial report, Haar functions are reviewed briefly and the computational and memory requirements of the Haar transform are analyzed; applications are then discussed. It is concluded that whereas Haar functions are unlikely to be as useful in as many applications as Walsh functions may be, they seem especially well suited to data coding, pattern recognition, and, perhaps, multiplexing.

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Document Details

Document Type
Technical Report
Publication Date
Jan 04, 1973
Accession Number
AD0755431

Entities

People

  • John E. Shore

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Arithmetic Units
  • Change Detection
  • Classification
  • Communication Systems
  • Computer Programming
  • Convergence
  • Conversion
  • Data Transmission
  • Information Theory
  • Multiplexing
  • Pattern Recognition
  • Peak Power
  • Recognition
  • Security
  • Square Waves
  • Step Functions
  • Walsh Functions

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Systems Analysis and Design

Technology Areas

  • AI & ML
  • AI & ML - Machine Learning Algorithms