Accession Number:

AD0621360

Title:

WALSH FUNCTIONS, NORMAL NUMBERS AND PSEUDO-RANDOM FUNCTIONS.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV BERKELEY DEPT OF MATHEMATICS

Personal Author(s):

• France,Michel M.

Report Date:

1965-09-01

Pagination or Media Count:

21.0

Abstract:

The so-called Walsh functions are considered. They are defined as a character on the abelian group ZgZ to the Nth power g is a given integer or 2. A characterization is obtained of normal numbers by applying Weyls 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

Descriptors:

• *NUMBER THEORY
• FUNCTIONS(MATHEMATICS)
• PSEUDO RANDOM SYSTEMS
• GROUPS(MATHEMATICS)
• SEQUENCES(MATHEMATICS)
• COMPLEX VARIABLES

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE