Masters Theses

Abstract

“The purpose of this report is to review the basic work described by Zadeh insofar as systems of class N1 are concerned and to apply his general results to a specific problem in which a non-linear filter is mandatory simply because the linear filter is essentially ineffective. The ineffectiveness stems from the fact that the autocorrelation function of the signal plus the noise has essentially the same variational character as the signal alone. Therefore, the transfer function of the linear filter turns out to be simply a constant. Thus, the output of the linear filter is just an attenuated version of the input and, as a result, no virtual separation of signal and noise is obtained. The reason that this report confines its attention to the zero-memory rather than the finite memory non-linear filter is because the latter presently requires machine type solutions. Although the results of the present work are interesting by themselves, the approach used here is intended to provide the reader with a helpful and interpretive introduction to the theory of nonlinear filters as advanced by Zadeh"--Purpose, page 6.

Advisor(s)

Betten, J. Robert

Committee Member(s)

Harden, Richard C.
Antle, Charles E.
Pagano, Sylvester J., 1924-2006

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

University of Missouri at Rolla

Publication Date

1964

Pagination

iii, 42 pages

Note about bibliography

Includes bibliographical references (pages 40-41).

Rights

© 1964 Benjamin Shaw-Hu Wang, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 1565

Print OCLC #

5957549

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