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Operation Transform Formulae on Generalized Fractional Fourier Transform

Published on February 2013 by V. D. Sharma
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International Conference on Recent Trends in Information Technology and Computer Science 2012
Foundation of Computer Science USA
ICRTITCS2012 - Number 5
February 2013
Authors: V. D. Sharma
7621fdce-6f78-432b-a380-077d5a3dcc47

V. D. Sharma . Operation Transform Formulae on Generalized Fractional Fourier Transform. International Conference on Recent Trends in Information Technology and Computer Science 2012. ICRTITCS2012, 5 (February 2013), 19-22.

@article{
author = { V. D. Sharma },
title = { Operation Transform Formulae on Generalized Fractional Fourier Transform },
journal = { International Conference on Recent Trends in Information Technology and Computer Science 2012 },
issue_date = { February 2013 },
volume = { ICRTITCS2012 },
number = { 5 },
month = { February },
year = { 2013 },
issn = 0975-8887,
pages = { 19-22 },
numpages = 4,
url = { /proceedings/icrtitcs2012/number5/10279-1379/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Recent Trends in Information Technology and Computer Science 2012
%A V. D. Sharma
%T Operation Transform Formulae on Generalized Fractional Fourier Transform
%J International Conference on Recent Trends in Information Technology and Computer Science 2012
%@ 0975-8887
%V ICRTITCS2012
%N 5
%P 19-22
%D 2013
%I International Journal of Computer Applications
Abstract

Fractional Fourier transform (FrFT) is one of the most widely used tools in signal processing and optics. Several properties of FrFT have been studied recently and many are being investigated at present. The original purpose of FrFT is to solve the differential equation in quantum mechanics. In fact, most of the applications of FrFT now are application on optics. But there are still lots of unknowns to the signal processing community. Because of its simple and beautiful properties in Time-frequency plane we believe that many new applications are waiting to be proposed in signal processing. In this paper FrFT is extended in the distributional generalized sense. Operation transform formulae for FrFT are discussed.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Fractional Fourier Transform Generalized Function Quantum Mechanics Optics Signal Processing