A Comprehensive Study Of Sustainable Future Of Fractional Fourier Transform

Abstract

The Fractional Fourier transform (FRFT) is a relatively new linear transform that is a gen- eralisation of the classical Fourier transform (FT). FRFT can transform a particular signal to a unified time-frequency domain. In this study of sustainable future, we try to present a comprehensive discussion FRFT. Firstly, we provided definition of FRFT. Secondly, we offered a comprehensive theoretical research and technological studies that consisted of hardware implementation and software implementation. Thirdly, we presented a sustainable future on applications of FRFT to following fields: communication, encryption, optimal engineering, radiology, remotesensing, fractional calculus, fractional wavelet transform, pseudo-differential operator, pattern recognition, and image processing. It is hoped that this comprehensive study of sustainable Future will be useful to research scholars/faculties/scientists working on FRFT.