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 based on the so-called half-range expansion of a function over a set of cosine or sine basis functions. Because the cosine and the sine kernels lack the
nice properties of an exponential kernel, many of the transform properties are less elegant and more involved than the corresponding ones for the Fourier transform kernel. As the sine transform, cosine transform and Hartley transform are widely use in signal processing, the application of their fractional version in signal/image processing is very promising. This paper concerned with generalized one dimensional fractional Sine transforms and here we discuss Modulation theorem, Parseval’s identity for generalized one dimensional fractional Sine transform.