Convolution theorem for generalized two dimensional fractional sine transform

The applications of fractional transforms to generalized function have been done time to time and their properties have been studied by various mathematicians. Fourier transform is a very powerful tool for problems in signal processing and other applications. The Fractional Fourier Transform (FrFT) is a generalization of the ordinary Fourier transform. The ordinary Fourier transform and related techniques are of importance in various different areas like communications, signal processing and control systems. In fact, the FrFT has already found many applications in the areas of signal processing and communications. The success of FrFT in its application has promoted the development of other kinds of fractional transforms like fractional Hartley transform, fractional Hadamard transform, fractional cosine transform and fractional sine transform (FrST).

In this paper convolution theorem for generalized two dimensional fractional Sine transform is proved.