@inproceedings{08383cc840b1493faa79c45ea1859e9c,
title = "{\c C}ift-doǧrusal d{\"o}n{\"u}{\c s}{\"u}me dayali DFT ve ayrik kesirli Fourier d{\"o}n{\"u}{\c s}{\"u}m{\"u} {\"o}zvekt{\"o}rleri",
abstract = "Orthonormal eigenvectors of the DFT matrix, which is closer to the samples of Hermite-Gaussian functions, are crucial to define the discrete fractional Fourier transform. In this work we determine the eigenvectors of the DFT matrix inspired by the bilinear transform. The bilinear transform maps the analog space to the discrete sample and it maps jω in the analog s-domain to the unit circle in the discrete z-domain one-to-one without aliasing, it is appropriate to use in the discretization of the eigenfunctions of the Fourier transform. We obtain Hermite-Gaussian like eigenvectors of the DFT matrix and confirm the results with extensive simulations.",
author = "Ahmet Serbes and {Durak Ata}, L{\"u}tfiye",
year = "2010",
doi = "10.1109/SIU.2010.5650245",
language = "T{\"u}rk{\c c}e",
isbn = "9781424496716",
series = "SIU 2010 - IEEE 18th Signal Processing and Communications Applications Conference",
pages = "268--271",
booktitle = "SIU 2010 - IEEE 18th Signal Processing and Communications Applications Conference",
note = "18th IEEE Signal Processing and Communications Applications Conference, SIU 2010 ; Conference date: 22-04-2010 Through 24-04-2010",
}