Results 21 to 30 of about 744,050 (371)

FRACTIONAL WAVELET TRANSFORM PHASE FOR IRIS IMAGE KEY POINTS MATCHING [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2023
In this article the fractional phase congruency method for iris image key points descriptors is proposed. The fractional phase congruency is calculated using fractional wavelet transform through the fractional Fourier transform.
M. A. Protsenko, E. A. Pavelyeva
doaj   +1 more source

Fractional Fourier Transform [PDF]

open access: yes2001 European Control Conference (ECC), 2010
Chapter ...
Ozaktas, Haldun M.   +2 more
openaire   +6 more sources

Quantum Weighted Fractional Fourier Transform

open access: yesMathematics, 2022
Quantum Fourier transform (QFT) is an important part of many quantum algorithms. However, there are few reports on quantum fractional Fourier transform (QFRFT).
Tieyu Zhao, Tianyu Yang, Yingying Chi
doaj   +1 more source

Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative

open access: yesJournal of Function Spaces, 2022
In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform.
A. Selvam   +3 more
semanticscholar   +1 more source

Multiweighted-Type Fractional Fourier Transform: Unitarity

open access: yesFractal and Fractional, 2021
The definition of the discrete fractional Fourier transform (DFRFT) varies, and the multiweighted-type fractional Fourier transform (M-WFRFT) is its extended definition. It is not easy to prove its unitarity.
Tieyu Zhao, Yingying Chi
doaj   +1 more source

The discrete fractional Fourier transform [PDF]

open access: yesIEEE Transactions on Signal Processing, 1999
We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier transform (DFT) in the same sense that the continuous fractional Fourier transform generalizes the continuous ordinary Fourier transform.
Candan, C., Kutay, M. A., Ozaktas, H. M.
openaire   +7 more sources

Solving Generalized Heat and Generalized Laplace Equations Using Fractional Fourier Transform

open access: yesFractal and Fractional, 2023
In the present work, the main objective is to find the solution of the generalized heat and generalized Laplace equations using the fractional Fourier transform, which is a general form of the solution of the heat equation and Laplace equation using the ...
Sri Sulasteri   +4 more
doaj   +1 more source

Circuit of Quantum Fractional Fourier Transform

open access: yesFractal and Fractional, 2023
In this paper, we first use the quantum Fourier transform (QFT) and quantum phase estimation (QPE) to realize the quantum fractional Fourier transform (QFrFT).
Tieyu Zhao, Yingying Chi
doaj   +1 more source

Simplified fractional Fourier transforms [PDF]

open access: yesJournal of the Optical Society of America A, 2000
The fractional Fourier transform (FRFT) has been used for many years, and it is useful in many applications. Most applications of the FRFT are based on the design of fractional filters (such as removal of chirp noise and the fractional Hilbert transform) or on fractional correlation (such as scaled space-variant pattern recognition).
Pei, Soo-Chang, Ding, Jian-Jiun
openaire   +3 more sources

Self Fourier functions and fractional Fourier transforms [PDF]

open access: yesOptics Communications, 1993
The Fourier transform is perhaps the most important analytical tool in wave optics. Hence Fourier-related concepts are likely to have an important on optics. We will likely recall two novel concepts and then show how they are interrelated. A self-Fourier function (SFF) [1,2] is a function whose Fourier transform is identical to itself.
Mendlovic, D.   +2 more
openaire   +4 more sources

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