WALSH FUNCTIONS, NORMAL NUMBERS AND PSEUDO-RANDOM FUNCTIONS.

Abstract

The so-called Walsh functions are considered. They are defined as a character on the abelian group (Z/gZ) to the Nth power (g is a given integer > or = 2). A characterization is obtained of normal numbers by applying Weyl's criteria on uniformly distributed sequences on a group. It is shown that the Walsh functions are pseudo-random functions whose energetic spectral density is singular. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0621360

Entities

People

  • Michel M. France

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Functions (Mathematics)
  • Mathematics
  • Personality
  • Sequences
  • Walsh Functions

Fields of Study

  • Mathematics

Readers

  • Agricultural Chemistry/Soil Science
  • Linear Algebra
  • Regression Analysis.