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Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)

Fractal and Fractional
The fractional Fourier transform is critical in signal processing and supports many applications. Signal processing is one notable application. Implementing the fractional Fourier transform requires discrete versions.
Asma Elshamy, Zeinab S. I. Mansour, Ahmed Zayed   +2 more
doaj   +5 more sources

Characterization of Pseudo-Differential Operators Associated with the Coupled Fractional Fourier Transform

Axioms
The main aim of this article is to derive certain continuity and boundedness properties of the coupled fractional Fourier transform on Schwartz-like spaces.
Shraban Das, Kanailal Mahato, Ahmed I. Zayed   +2 more
doaj   +6 more sources

On the class of uncertainty inequalities for the coupled fractional Fourier transform

Journal of Inequalities and Applications, 2022
The coupled fractional Fourier transform F α , β $\mathcal {F}_{\alpha ,\beta}$ is a two-dimensional fractional Fourier transform depending on two angles α and β, which are coupled in such a way that the transform parameters are γ = ( α + β ) / 2 $\gamma
Firdous A. Shah, Waseem Z. Lone, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +3 more
doaj   +3 more sources

Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform

Fractal and Fractional, 2023
Forward-backward stochastic differential equations (FBSDEs) have received more and more attention in the past two decades. FBSDEs can be applied to many fields, such as economics and finance, engineering control, population dynamics analysis, and so on ...
Xiaoxiao Zeng, Kexin Fu, Xiaofei Li, Junjie Du, Weiran Fan   +4 more
doaj   +4 more sources

Real-Time Discrete Fractional Fourier Transform Using Metamaterial Coupled Lines Network

IEEE Transactions on Microwave Theory and Techniques, 2023
Discrete Fractional Fourier Transforms (DFrFT) are universal mathematical tools in signal processing, communications and microwave sensing. Despite the excessive applications of DFrFT, implementation of corresponding fractional orders in the baseband signal often leads to bulky, power-hungry, and high-latency systems.
Rasool Keshavarz, Mohammad-Ali Miri, Negin Shariati   +2 more
exaly   +4 more sources

Convolution and Correlation Forms for the Offset Coupled Fractional Fourier Transform [PDF]

Jurnal MSA ( Matematika dan Statistika serta Aplikasinya)
This work presents convolution and correlation in  offset coupled fractional Fourier transform. The offset coupled fractional Fourier transform can be regarded as a generalized version of the coupled fractional Fourier transform. Various properties including this work like inversion formula and Parseval are studied in general and in detail for the ...
null Nasrullah, null Wahyuni Ekasasmita, null Nurwahidah   +2 more
openaire   +2 more sources

Uncertainty principles for coupled fractional Wigner–Ville distribution [PDF]

Royal Society Open Science
The coupled fractional Wigner–Ville distribution is a more general version of the fractional Wigner–Ville distribution. Main properties including boundedness, Moyal’s formula and inversion formula are studied in detail for the transformation ...
Andi Tenri Ajeng Nur, Mawardi Bahri, Nasrullah Bachtiar, Amran Rahim   +3 more
doaj   +2 more sources

SHARP HAUSDORFF YOUNG INEQUALITY AND INVERSION FORMULA FOR THE COUPLED WINDOWED OFFSET FRACTIONAL FOURIER TRANSFORM

Jurnal Matematika UNAND
This work presents the Sharp Hausdorff-Young inequality for the Coupled windowed offset fractional Fourier transform. The coupled windowed offset fractional Fourier transform can be regarded as a generalized version of the fractional windowed Fourier transform.
Nasrullah Bachtiar, Erica Grace Simanjuntak, Nora Madonna   +2 more
openaire   +2 more sources

Radar matched filtering using the fractional fourier transform [PDF]

, 2010
-A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine, Elgamel, Sherif A.E.H., Soraghan, J.J.   +2 more
core   +4 more sources

Fractional fourier transform based monopulse radar for combating jamming interference [PDF]

, 2010
Monopulse radars are used to track a target that appears in the look direction beam width. The distortion produced when manmade high power interference (jamming).
S.A. Elgamel, Elgamel, Sherif A.E.H., Soraghan, J.J., J.J. Soraghan   +3 more
core   +4 more sources