Accession Number : AD0641091

Title :   FUNDAMENTALS OF THE WIENER CANONICAL EXPANSION.

Descriptive Note : Technical rept.,

Corporate Author : INFORMATION RESEARCH ASSOCIATES INC LEXINGTON MASS

Personal Author(s) : Stout,Robert W.

Report Date : JUL 1966

Pagination or Media Count : 68

Abstract : Recent research by Brick and Zames has applied Wiener Canonical Forms to non-linear problems of pattern recognition. This turorial paper outlines the background material of that work. Brownian Motion is discussed in a limiting physical situation which leads naturally to the abstract Wiener Random Process. Wiener's mapping procedure is introduced to facilitate the construction of linear and non-linear functionals of the Wiener Process. A general class of non-linear systems, useful in pattern recognition applications, is then characterized in terms of these functionals. (Author)

Descriptors :   (*PATTERN RECOGNITION, *BROWNIAN MOTION), (*MAPPING(TRANSFORMATIONS), *STOCHASTIC PROCESSES), NONLINEAR SYSTEMS, STATISTICAL MECHANICS, INFORMATION THEORY

Subject Categories : Statistics and Probability
      Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE