Development of convolution theorem in FRFT domain

The fractional Fourier transform (FRFT), which is a generalization of the Fourier transform (FT), has emerged as a very efficient mathematical tool for signals which are having time-dependent frequency component. FRFT has an advantage over other transforms being used in the application areas like: signal processing and optics. Many properties of this transform are already known, but an extension of convolution theorem of Fourier transform is still not having a widely accepted closed form expression. In the literature of recent past different authors have tried to formulate convolution theorem for FRFT, but none have received acclamation because their definition do not generalize very nicely the classical result for the FT. A new convolution theorem for FRFT is proposed in this article which is supposed to be a better realizable proposition.