Results 261 to 270 of about 430,171 (297)

On the extension of the coupled fractional Fourier transform and its properties

Integral transforms and special functions, 2021
The coupled fractional Fourier transform is a two-dimensional fractional Fourier transform that depends on two angles that are coupled in such a way that the transform parameters are and It generalizes the two-dimensional Fourier transform and it serves ...
R. Kamalakkannan, R. Roopkumar, A. Zayed
semanticscholar   +1 more source

Novel Short-Time Fractional Fourier Transform: Theory, Implementation, and Applications

IEEE Transactions on Signal Processing, 2020
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 not suitable for processing signals whose fractional frequencies vary
Jun Shi, Jiabin Zheng, Xiaoping Liu, W. Xiang, Qinyu Zhang   +4 more
semanticscholar   +1 more source

Short time coupled fractional fourier transform and the uncertainty principle

Fractional Calculus and Applied Analysis, 2021
In this paper, we introduce a short-time coupled fractional Fourier transform ( scfrft ) using the kernel of the coupled fractional Fourier transform ( cfrft ).
R. Kamalakkannan, R. Roopkumar, A. Zayed
semanticscholar   +1 more source

Graph Fractional Fourier Transform: A Unified Theory

IEEE Transactions on Signal Processing
The fractional Fourier transform (FRFT) parametrically generalizes the Fourier transform (FT) by a transform order, representing signals in intermediate time-frequency domains.
Tuna Alikaşifoğlu, Bunyamin Kartal, Aykut Koç   +2 more
semanticscholar   +1 more source

Trainable Fractional Fourier Transform

IEEE Signal Processing Letters
Recently, the fractional Fourier transform (FrFT) has been integrated into distinct deep neural network (DNN) models such as transformers, sequence models, and convolutional neural networks (CNNs).
E. Koç, Tuna Alikaşifoğlu, A. Aras, Aykut Koç   +3 more
semanticscholar   +1 more source

Fast Detection Method for Low-Observable Maneuvering Target via Robust Sparse Fractional Fourier Transform

IEEE Geoscience and Remote Sensing Letters, 2020
In this letter, a novel fast detection algorithm, known as robust sparse fractional Fourier transform (RSFRFT), is proposed for low-observable maneuvering target detection in a clutter background.
Xiaohan Yu, Xiaolong Chen, Yong Huang, J. Guan   +3 more
semanticscholar   +1 more source

Multidimensional fractional Fourier transform and generalized fractional convolution

Integral transforms and special functions, 2020
In this paper, we prove inversion theorems and Parseval identity for the multidimensional fractional Fourier transform. Analogous to the existing fractional convolutions on functions of single variable, we also introduce a generalized fractional ...
R. Kamalakkannan, R. Roopkumar
semanticscholar   +1 more source

Detection of R-peaks using fractional Fourier transform and principal component analysis

Journal of Ambient Intelligence and Humanized Computing, 2021
Varun Gupta, M. Mittal, Vikas Mittal, Y. Chaturvedi   +3 more
semanticscholar   +1 more source

Multiple color image fusion, compression, and encryption using compressive sensing, chaotic-biometric keys, and optical fractional Fourier transform

Optics & Laser Technology, 2022
M. Abuturab, A. Alfalou
semanticscholar   +1 more source

Fractional Fourier transform: Time-frequency representation and structural instantaneous frequency identification

Mechanical systems and signal processing, 2022
Lian-Wei Lu, W. Ren, Shi-Dong Wang
semanticscholar   +1 more source