Fractional calculus in image processing: a review
Over the last decade, it has been demonstrated that many systems in science and
engineering can be modeled more accurately by fractional-order than integer-order …
engineering can be modeled more accurately by fractional-order than integer-order …
Novel short-time fractional Fourier transform: Theory, implementation, and applications
As a generalization of the classical Fourier transform (FT), the fractional Fourier transform
(FRFT) has proven to be a powerful tool for signal processing and analysis. However, it is …
(FRFT) has proven to be a powerful tool for signal processing and analysis. However, it is …
Adaptive fractional Fourier transform-based detection algorithm for moving target in heavy sea clutter
J Guan, XL Chen, Y Huang, Y He - IET Radar, Sonar & Navigation, 2012 - IET
Attention has been focused on the moving target detection in heavy sea clutter. On the basis
of detection model of moving target with fluctuant amplitudes, a novel adaptive algorithm in …
of detection model of moving target with fluctuant amplitudes, a novel adaptive algorithm in …
On the estimation of LFM signal parameters: Analytical formulation
A Serbes - IEEE Transactions on Aerospace and Electronic …, 2017 - ieeexplore.ieee.org
We propose analytical formulations, approximations, upper and lower bounds for the angle
sweep of maximum magnitude of fractional Fourier transform of mono-and multicomponent …
sweep of maximum magnitude of fractional Fourier transform of mono-and multicomponent …
Performance of chirp parameter estimation in the fractional Fourier domains and an algorithm for fast chirp-rate estimation
O Aldimashki, A Serbes - IEEE Transactions on Aerospace and …, 2020 - ieeexplore.ieee.org
This article addresses the problem of fast and accurate chirp signal parameter estimation in
fractional Fourier domains. By employing a perturbation analysis, it is shown that the …
fractional Fourier domains. By employing a perturbation analysis, it is shown that the …
Locally optimized adaptive directional time–frequency distributions
This paper addresses the problem of estimating the parameters of adaptive directional time–
frequency distributions (ADTFDs). ADTFDs locally optimize the direction of the smoothing …
frequency distributions (ADTFDs). ADTFDs locally optimize the direction of the smoothing …
Optimal compactness of fractional Fourier domain characterizes frequency modulated signals
The Fourier transform (FT) is a mathematical tool widely used in signal processing
applications; however, it presents limitations when dealing with non-stationary time series …
applications; however, it presents limitations when dealing with non-stationary time series …
A robust high-resolution time–frequency representation based on the local optimization of the short-time fractional Fourier transform
Abstract The Locally Optimized Spectrogram (LOS) defines a novel method for obtaining a
high-resolution time–frequency (t, f) representation based on the short-time fractional Fourier …
high-resolution time–frequency (t, f) representation based on the short-time fractional Fourier …
Using SVD-FRFT filtering to suppress first-order sea clutter in HFSWR
Z Chen, C He, C Zhao, F Xie - IEEE Geoscience and Remote …, 2017 - ieeexplore.ieee.org
This letter presents a novel signal processing method for HF surface wave radar that offers a
solution to suppress significant sea clutter interference. Conventional clutter rejection …
solution to suppress significant sea clutter interference. Conventional clutter rejection …
Adaptive fractional Fourier domain filtering
L Durak, S Aldirmaz - Signal Processing, 2010 - Elsevier
A novel adaptive filtering scheme based on fractional Fourier transform (FrFT) is introduced
and characterized. As a generalization of the ordinary Fourier transform, FrFT is a powerful …
and characterized. As a generalization of the ordinary Fourier transform, FrFT is a powerful …