Analysis and comparison of discrete fractional Fourier transforms
X Su, R Tao, X Kang - Signal Processing, 2019 - Elsevier
The fractional Fourier transform (FRFT) is a powerful tool for time-varying signal analysis.
There exist various discrete fractional Fourier transforms (DFRFTs); in this paper, we …
There exist various discrete fractional Fourier transforms (DFRFTs); in this paper, we …
The fractional Fourier transform
HM Ozaktas, MA Kutay - 2001 European Control Conference …, 2001 - ieeexplore.ieee.org
A brief introduction to the fractional Fourier transform and its properties is given. Its relation
to phase-space representations (time-or space-frequency representations) and the concept …
to phase-space representations (time-or space-frequency representations) and the concept …
Optical encryption by double-random phase encoding in the fractional Fourier domain
We propose an optical architecture that encodes a primary image to stationary white noise
by using two statistically independent random phase codes. The encoding is done in the …
by using two statistically independent random phase codes. The encoding is done in the …
The discrete fractional Fourier transform
C Candan, MA Kutay… - IEEE Transactions on …, 2000 - ieeexplore.ieee.org
We propose and consolidate a definition of the discrete fractional Fourier transform that
generalizes the discrete Fourier transform (DFT) in the same sense that the continuous …
generalizes the discrete Fourier transform (DFT) in the same sense that the continuous …
The fractional Fourier transform as a biomedical signal and image processing tool: A review
This work presents a literature review of the fractional Fourier transform (FrFT) investigations
and applications in the biomedical field. The FrFT is a time-frequency analysis tool that has …
and applications in the biomedical field. The FrFT is a time-frequency analysis tool that has …
Deep fractional Fourier transform
Existing deep learning-based computer vision methods usually operate in the spatial and
frequency domains, which are two orthogonal\textbf {individual} perspectives for image …
frequency domains, which are two orthogonal\textbf {individual} perspectives for image …
Relations between fractional operations and time-frequency distributions, and their applications
SC Pei, JJ Ding - IEEE Transactions on Signal Processing, 2001 - ieeexplore.ieee.org
The fractional Fourier transform (FRFT) is a useful tool for signal processing. It is the
generalization of the Fourier transform. Many fractional operations, such as fractional …
generalization of the Fourier transform. Many fractional operations, such as fractional …
Double random fractional Fourier domain encoding for optical security
G Unnikrishnan, K Singh - Optical Engineering, 2000 - spiedigitallibrary.org
We propose a new optical encryption technique using the fractional Fourier transform. In this
method, the data are encrypted to a stationary white noise by two statistically independent …
method, the data are encrypted to a stationary white noise by two statistically independent …
The discrete fractional cosine and sine transforms
SC Pei, MH Yeh - IEEE Transactions on Signal Processing, 2001 - ieeexplore.ieee.org
This paper is concerned with the definitions of the discrete fractional cosine transform
(DFRCT) and the discrete fractional sine transform (DFRST). The definitions of DFRCT and …
(DFRCT) and the discrete fractional sine transform (DFRST). The definitions of DFRCT and …
Extracting micro-Doppler radar signatures from rotating targets using Fourier–Bessel transform and time–frequency analysis
P Suresh, T Thayaparan, T Obulesu… - … on Geoscience and …, 2013 - ieeexplore.ieee.org
In this paper, we report the efficiency of the Fourier-Bessel transform (FBT) and time-
frequency (TF)-based method in conjunction with the fractional Fourier transform (FrFT), for …
frequency (TF)-based method in conjunction with the fractional Fourier transform (FrFT), for …