Fractional calculus in image processing: a review

Q Yang, D Chen, T Zhao, YQ Chen - Fractional Calculus and Applied …, 2016 - degruyter.com
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 …

Novel short-time fractional Fourier transform: Theory, implementation, and applications

J Shi, J Zheng, X Liu, W Xiang… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
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 …

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 …

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 …

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 …

Locally optimized adaptive directional time–frequency distributions

M Mohammadi, AA Pouyan, NA Khan… - Circuits, Systems, and …, 2018 - Springer
This paper addresses the problem of estimating the parameters of adaptive directional time–
frequency distributions (ADTFDs). ADTFDs locally optimize the direction of the smoothing …

Optimal compactness of fractional Fourier domain characterizes frequency modulated signals

JP Ugarte, A Gómez-Echavarría, C Tobón - Chaos, Solitons & Fractals, 2023 - Elsevier
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 …

A robust high-resolution time–frequency representation based on the local optimization of the short-time fractional Fourier transform

MA Awal, S Ouelha, S Dong, B Boashash - Digital Signal Processing, 2017 - Elsevier
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 …

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 …

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 …