A centered DFT-based discrete fractional Fourier transform and its application to chirp signal parameter estimation

We propose a new discrete fractional Fourier transform (DFrFT) scheme based on eigentransforms of the centered DFT matrix and present its application to chirp parameter estimation problem. We show that eigentransforms of the centered DFT provides a simple and straightforward method in the derivation of the centered DFrFT matrix. The method makes use of Gram-Schmidt orthogonalization algorithm to refine the eigenvectors that are employed in the DFrFT matrix computation. The simulation results show how the proposed DFrFT mimics its continuous counterpart and finally an application on chirp rate estimation is presented.