“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.
Betten, J. Robert
Harden, Richard C.
Antle, Charles E.
Pagano, Sylvester J., 1924-2006
Electrical and Computer Engineering
M.S. in Electrical Engineering
University of Missouri at Rolla
iii, 42 pages
© 1964 Benjamin Shaw-Hu Wang, All rights reserved.
Thesis - Open Access
Print OCLC #
Link to Catalog Record
Wang, Benjamin Shaw-Hu, "Optimum zero-memory nonlinear filter" (1964). Masters Theses. 5597.