FUNDAMENTALS OF THE WIENER CANONICAL EXPANSION.
INFORMATION RESEARCH ASSOCIATES INC LEXINGTON MASS
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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. Wieners 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
- Statistics and Probability