NDLI: A New Implementation of the Mellin Transform and its Application to Radar Classification of Ships

Content Provider	IEEE Xplore Digital Library
Author	Zwicke, Philip E. Kiss, Imre
Copyright Year	1979
Abstract	A modified Mellin transform for digital implementation is developed and applied to range radar profiles of naval vessels. The scale invariance property of the Mellin transform provides a means for extracting features from the profiles which are insensitive to the aspect angle of the radar. Past implementations of the Mellin transform based on the FFT have required exponential sampling, interpolation, and the computation of a correction term, all of which introduce errors into the transform. In addition, exponential sampling results in a factor of ln N increase in the number of data points. An alternate implementation, developed in the paper, utilizes a direct expansion of the Mellin integral definition. This direct Mellin transform (DMT) eliminates the implementation problems associated with the FFT approach, and does not increase the number of samples. A scale and translation invariant transform is developed from a modification of the DMT. The MDMT applied to the FFT of the radar profiles results in the desired insensitivity without having the low-pass filtering characteristic that exists in other Fourier-Mellin implementations.
Sponsorship	IEEE Computer Society
Starting Page	191
Ending Page	199
Page Count	9
File Size	2314173
File Format	PDF
ISSN	01628828
Volume Number	PAMI-5
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1983-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Radar applications Marine vehicles Discrete transforms Feature extraction Fourier transforms Radar imaging Computed tomography Sampling methods Interpolation OFDM modulation ship classification Fourier-Mellin transform Mellin transform modified Mellin transform radar signatures scale invariant
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence Computational Theory and Mathematics Computer Vision and Pattern Recognition Software

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