ISSN (Online) : 2456 - 0774

Email : ijasret@gmail.com

ISSN (Online) 2456 - 0774

MODULATION AND PARSEVAL’S RELATION OF GENERALIZED FRACTIONAL SINE TRANSFORM

Abstract

 Transforms with cosine and sine functions as the transform kernels represent an important area of analysis. It is basedontheso-called half-range expansion of a function over a set of cosine or sine basis functions. Because the cosine and the sine kernelslackthenice properties of an exponential kernel, many of the transform properties are less elegant and more involved than the correspondingonesfor the Fourier transform kernel. As the sine transform, cosine transform and Hartley transform are widely use in signal processing,theapplication of their fractional version in signal/image processing is very promising. This paper concerned withgeneralizedonedimensional fractional Sine transforms and here we discuss Modulation theorem, Parseval’s identity for generalizedonedimensionalfractional Sine transform. Keywords: Fractional Fourier Transform, Fractional Cosine Transform, Fractional Sine Transform.

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