GENERALIZATION OF TWO-DIMENSIONAL FRACTIONAL FOURIER TRANSFORM

##plugins.themes.bootstrap3.article.main##

##plugins.themes.bootstrap3.article.sidebar##

PDF
Published Oct 3, 2013
Sharma V.D
innovative journal publication pvt. ltd

Abstract

The Fractional Fourier transform (FRFT) as a generalization of the classical Fourier transform, was introduced may years ago in mathematics literature. The original purpose of FRFT is to solve the differential equation in quantum mechanics. Optics problems can also be interpreted by FRFT. In fact, most of the applications of FRFT now are applications 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 Two-dimensional Fractional Fourier (FRFT) is extended in the distributional generalized sense. Testing function space for the two dimensional FRFT is proved. Its Analyticity is also discussed.

How to Cite

GENERALIZATION OF TWO-DIMENSIONAL FRACTIONAL FOURIER TRANSFORM. (2013). Asian Journal of Current Engineering and Maths, 1(2). http://informaciontechnologica.com/index.php/ajcem/article/view/42
Abstract 146 | PDF Downloads 0

##plugins.themes.bootstrap3.article.details##

Issue
Vol 1 No 2 (2012): ASIAN JOURNAL OF CURRENT ENGINEERING AND MATHS
Section
Articles

COPYRIGHT AGREEMENT AND AUTHORSHIP RESPONSIBILITY

 

All paper submissions must carry the following duly signed by all the authors:

“I certify that I have participated sufficiently in the conception and design of this work and the analysis of the data (wherever applicable), as well as the writing of the manuscript, to take public responsibility for it. I believe the manuscript represents valid work. I have reviewed the final version of the manuscript and approve it for publication. Neither has the manuscript nor one with substantially similar content under my authorship been published nor is being considered for publication elsewhere, except as described in an attachment. Furthermore I attest that I shall produce the data upon which the manuscript is based for examination by the editors or their assignees, if requested.”

How to Cite

GENERALIZATION OF TWO-DIMENSIONAL FRACTIONAL FOURIER TRANSFORM. (2013). Asian Journal of Current Engineering and Maths, 1(2). http://informaciontechnologica.com/index.php/ajcem/article/view/42