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 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 …
Novel fractional-order generic Jacobi-Fourier moments for image analysis
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 …
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 …
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 …
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 …
process linear frequency modulation type non-stationary functions. To the best of our …
A comprehensive survey on fractional Fourier transform
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 …
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 …
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 …
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
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 …
resources to transmit signals according to use case requirement, it leads to higher energy …