Shift and scale invariant preprocessor.
Loading...
Authors
Huston, Norman E., Jr.
Subjects
shift invariance
scale invariance
Mellin transform
classification preprocessor
range only radar classification
scale invariance
Mellin transform
classification preprocessor
range only radar classification
Advisors
Wilson, L.A.
Hamming, Richard W.
Date of Issue
1981
Date
December 1981
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
A preprocessor is designed to extract a set of features
that enhance natural clustering by removing extraneous
information. The design rerroves time shift and scale
dependence by taking advantage of invariant properties of a
Fourier transform followed by a Mellin transform. The
preprocessor is realized using an FFT and a Mellin
transform with a conventional error correction term. The
error term proves to be indeterminate, but the error's
bound is identified as the envelope for Mellin correction
terms. Properties of the Mellin transform are employed to
modify the signal so that the error correcting is no longer
required. The resulting algorithms are tested with
variously scaled inputs for which closed form solutions are
known. With a verified modification in place, the
preprocessor produces features that are invariant to
shifting and scaling, while retaining enough information to
classify canonic shapes, A method of improving performance
is introduced.
Type
Thesis
Description
Series/Report No
Department
Electrical Engineering
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.