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A caveat about applications of the unilateral Fourier transform [PDF]

open access: yesRevista Brasileira de Ensino de Física, 2020
It is presented a warning about the erroneous use of unilateral Fourier transform with nonhomogeneous Dirichlet or Neumann boundary conditions in a well-known textbook on integral transforms, and also in a few papers recently diffused in the literature.
Antonio S. de Castro
doaj   +2 more sources

More on the quantum harmonic oscillator via unilateral Fourier transform [PDF]

open access: yesRevista Brasileira de Ensino de Física, 2022
The stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of
Douglas Willian Vieira   +1 more
doaj   +1 more source

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

Fourier ptychography algorithm based on scaled Fourier transform

open access: yesElectronics Letters, 2021
This letter discusses an alternative Fourier ptychography algorithm based on the scaled fast Fourier transform propagation. The advantage of this scheme is that it enables a zoom‐in capability of the object spectrum and complex pupil within the synthetic
Mojde Hasanzade   +3 more
doaj   +1 more source

Nonlinearizad of Fast Fourier Transform

open access: yesЦифровые модели и решения, 2023
A unified mathematical form of reversible nonlinear transformations based on a nonlinear tensor product is presented in the form of fast algorithms.
Valeriy Labunets   +2 more
doaj   +1 more source

Quantum Fourier transform revisited [PDF]

open access: yes, 2020
The fast Fourier transform (FFT) is one of the most successful numerical algorithms of the 20th century and has found numerous applications in many branches of computational science and engineering.
Bullock SS   +5 more
core   +2 more sources

Discrete Fourier transform and permutations [PDF]

open access: yesBulletin of the Polish Academy of Sciences: Technical Sciences, 2019
It is well known that the magnitudes of the coefficients of the discrete Fourier transform (DFT) are invariant under certain operations on the input data. In this paper, the effects of rearranging the elements of an input data on its DFT are studied.
S. Hui, S.H. Żak
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

Low Complexity Keystone Transform and Radon Fourier Transform Utilizing Chirp-Z Transform

open access: yesIEEE Access, 2020
Keystone Transform (KT) and Radon Fourier Transform (RFT) are two popular methods proposed to overcome range migration in radars. A major concern in these methods is the computational complexity for real time operations.
Onur Culha, Yalcin Tanik
doaj   +1 more source

Coefficient-of-Determination Fourier Transform

open access: yesComputation, 2018
This algorithm is designed to perform numerical transforms to convert data from the temporal domain into the spectral domain. This algorithm obtains the spectral magnitude and phase by studying the Coefficient of Determination of a series of artificial ...
Matthew David Marko
doaj   +1 more source

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