GENERALIZATION OF TWO-DIMENSIONAL FRACTIONAL FOURIER TRANSFORM

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V.D, S. (2013). GENERALIZATION OF TWO-DIMENSIONAL FRACTIONAL FOURIER TRANSFORM. Asian Journal of Current Engineering and Maths, 1(2). Retrieved from http://innovativejournal.in/index.php/ajcem/article/view/42
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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.

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