A Fast Algorithm for Fractional Fourier Transform with Zooming-in Ability

In this paper, we present a novel algorithm for FRFT with zooming-in ability, which is preferable to previous algorithms because it can freely choose computational resolution and zoom in on any interested portion of the fractional spectra, meanwhile, retains the advantage of the Ozaktas algorithm in computational speed. Its advantages in scrutinizing the fine structure of the partial spectra and improving estimation accuracy of chirp central frequency are illustrated by an application example.