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 …

The fractional Fourier transform as a biomedical signal and image processing tool: A review

A Gómez-Echavarría, JP Ugarte, C Tobón - Biocybernetics and Biomedical …, 2020 - Elsevier
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 …

Novel fractional-order generic Jacobi-Fourier moments for image analysis

KM Hosny, MM Darwish, T Aboelenen - Signal processing, 2020 - Elsevier
Orthogonal moments were successfully used to extract features from gray-scale and color
images. Recently, scientists show that orthogonal moments of fractional-orders have better …

Discrete fractional Fourier transforms based on closed-form Hermite–Gaussian-like DFT eigenvectors

JR de Oliveira Neto, JB Lima - IEEE Transactions on Signal …, 2017 - ieeexplore.ieee.org
In this paper, we construct discrete fractional Fourier transforms (DFrFT) using recently
introduced closed-form Hermite-Gaussian-like (HGL) eigenvectors. With respect to such …

A lossless image compression algorithm using wavelets and fractional Fourier transform

R Naveen Kumar, BN Jagadale, JS Bhat - SN Applied Sciences, 2019 - Springer
The necessity of data transfer at a high speed, in fast-growing information technology,
depends on compression algorithms. Maintaining quality of data reconstructed at high …

Fractional Fourier analysis using the Möbius inversion formula

H Miao, F Zhang, R Tao - IEEE Transactions on Signal …, 2019 - ieeexplore.ieee.org
Compared with the Fourier analysis, the fractional Fourier analysis is more suitable to
process linear frequency modulation type non-stationary functions. To the best of our …

A comprehensive survey on fractional Fourier transform

Y Zhang, S Wang, JF Yang, Z Zhang… - Fundamenta …, 2017 - content.iospress.com
The Fractional Fourier transform (FRFT) is a relatively novel linear transforms that is a
generalization of conventional Fourier transform (FT). FRFT can transform a particular signal …

[HTML][HTML] Randomized nonuniform sampling and reconstruction in fractional Fourier domain

L Xu, F Zhang, R Tao - Signal Processing, 2016 - Elsevier
The fractional Fourier transform (FRFT) is one of the most useful tools for the nonstationary
signal processing. In this paper, the randomized nonuniform sampling and approximate …

Local discrete fractional fourier transform: An algorithm for calculating partial points of DFrFT

H Miao - Signal Processing, 2023 - Elsevier
Abstract Fractional Fourier transform (FrFT) is widely utilized in nonstationary signal
processing owing to its linearity and flexibility. Various discrete algorithms focus on the …

A use-case efficient DFrFT-based index modulated-OFDM system in the presence of CFO

S Anand, S Sabud, AK Singh, P Kumar - AEU-International Journal of …, 2023 - Elsevier
Index modulated orthogonal frequency division multiplexing (OFDM-IM) only utilizes partial
resources to transmit signals according to use case requirement, it leads to higher energy …