NDLI: A variational approach to radar signal analysis

Content Provider	IEEE Xplore Digital Library
Author	Kaiser, G.
Copyright Year	1995
Description	Author affiliation: Dept. of Math. Sci., Massachusetts Univ., Lowell, MA, USA (Kaiser, G.)
Abstract	Physical wavelets are acoustic or electromagnetic waves resulting from the emission of a time signal by an acoustic or electromagnetic source moving along an arbitrary trajectory in space. Thus they are localized solutions of the wave equation or Maxwell's equations. In this paper we model the emission, reflection, and reception of such wavelets and propose their application to sonar and radar. The concept of ambiguity functions is extended to ambiguity functionals, which apply in a very general setting: The transmitter, the target, and the receiver can all execute arbitrary and independent motions. In the monostatic case, when the transmitter and the receiver are identical and at rest and the target moves with a constant, radial velocity, the ambiguity functional reduces to the wideband ambiguity function, which depends on time delay and Doppler scale factor and amounts to a wavelet transform of the return. In the narrowband approximation, it reduces further to the usual ambiguity function depending on time delay and Doppler frequency shift, which amounts to a windowed Fourier transform of the return. Thus, in the setting of ambiguity functions, time-frequency analysis is a narrowband approximation to wavelet analysis, which is in turn a linear approximation to the new "physical wavelet analysis".
Starting Page	548
Ending Page	552
File Size	401536
Page Count	5
File Format	PDF
ISBN	0818673702
ISSN	10586393
DOI	10.1109/ACSSC.1995.540608
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1995-10-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Radar Signal analysis Acoustic emission Acoustic waves Electromagnetic scattering Transmitters Delay effects Narrowband Wavelet analysis Partial differential equations
Content Type	Text
Resource Type	Article
Subject	Signal Processing Computer Networks and Communications

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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