Accession Number:

AD0713194

Title:

APPLICATION OF WALSH TRANSFORM TO STATISTICAL ANALYSIS,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s):

Report Date:

1970-08-01

Pagination or Media Count:

43.0

Abstract:

Harmonic analysis of probability distribution functions has long served an important function in the treatment of stochastic systems. The tasks of generating moments and distributions of sums have effectively been executed in the Fourier spectrum. This paper explores the properties of the Walsh-Hadamard transform of probability functions of discrete random variables. Many analogies can be drawn between Fourier and Walsh analysis in particular, it is shown that moments can be generated taking the Gibbs derivative of the Walsh spectrum, and products of Walsh spectra yield the distribution of dyadic sums. Stochastic systems with dyadic symmetry would benefit most from the properties of Walsh analysis and the computational advantages it offers. Some applications in the areas of Information Theory and Pattern Recognition are demonstrated. Author

Subject Categories:

  • Statistics and Probability
  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE