Results 11 to 20 of about 521,797 (371)

The fractional Clifford-Fourier transform [PDF]

open access: yesComplex Analysis and Operator Theory, 2012
In this paper, a fractional version of the Clifford-Fourier transform is introduced, depending on two numerical parameters. A series expansion for the kernel of the resulting integral transform is derived.
De Bie, Hendrik, De Schepper, Nele
core   +7 more sources

Fractional fourier transforms of hypercomplex signals [PDF]

open access: yesSignal, Image and Video Processing, 2012
An overview is given to a new approach for obtaining generalized Fourier transforms in the context of hypercomplex analysis (or Clifford analysis). These transforms are applicable to higher-dimensional signals with several components and are different ...
De Bie, Hendrik, De Schepper, Nele
core   +2 more sources

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   +5 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

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

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

Riesz transform associated with the fractional Fourier transform and applications [PDF]

open access: greenApplied and Computational Harmonic Analysis, 2021
Zunwei Fu   +4 more
openalex   +3 more sources

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