Relativistic windowed Fourier transform

Karim, M.R. and Ali, S.T. and Bodruzzaman, M. (2000) Relativistic windowed Fourier transform. In: IEEE SoutheastCon 2000 'Preparing for the New Millennium, 2000, Nashville, TN, USA.

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Abstract

Drawing upon some earlier work on coherent states of the Poincare' group in 1-space and 1-time dimensions, we use these states to define a relativistic windowed Fourier transform, as relativistic extension of the usual windowed Fourier transform. We discretize the resulting transform and obtain conditions under which the discretized transform can be used to reconstruct arbitrary square integrable functions. We present some numerical and graphical exercises to illustrate the theory, as well as to compare the relativistic windowed Fourier transform with the orthodox windowed Fourier transform.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Conference code: 57263 Export Date: 16 December 2013 Source: Scopus CODEN: CPISD Language of Original Document: English Correspondence Address: Karim, M.R.; Fisk Univ, Nashville, United States Sponsors: IEEE Region-3; Vanderbilt University; Tennessee State University; Tennesssee Technological University
Uncontrolled Keywords: Approximation theory, Functions, Graphic methods, Integration, Mathematical models, Numerical methods, Vectors, Arbitrary square integrable functions, Coherent states, Poincare group, Relativistic windowed Fourier transform, Fourier transforms
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Faculty of Engineering
Depositing User: Mr Jenal S
Date Deposited: 03 Jan 2014 02:34
Last Modified: 03 Jan 2014 02:34
URI: http://eprints.um.edu.my/id/eprint/8774

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