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Coded Fourier Transform

open access: yes2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2017
We consider the problem of computing the Fourier transform of high-dimensional vectors, distributedly over a cluster of machines consisting of a master node and multiple worker nodes, where the worker nodes can only store and process a fraction of the ...
Avestimehr, A. Salman   +2 more
core   +3 more sources

Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures [PDF]

open access: goldEntropy, 2022
The discrete Fourier transform is considered as one of the most powerful tools in digital signal processing, which enable us to find the spectrum of finite-duration signals.
Hari M. Srivastava   +3 more
doaj   +2 more sources

Reviews of bearing vibration measurement using fast Fourier transform and enhanced fast Fourier transform algorithms

open access: yesAdvances in Mechanical Engineering, 2019
The rolling element bearing is one of the most critical components in a machine. Vibration signals resulting from these bearings imply important bearing defect information related to the machinery faults.
Hsiung-Cheng Lin, Yu-Chen Ye
doaj   +2 more sources

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

Nuclear Fourier Transforms

open access: yesJournal of Fourier Analysis and Applications, 2023
AbstractThe paper deals with the problem under which conditions for the parameters $$s_1,s_2\in \mathbb R$$ s 1 , s 2 ∈
Dorothee D. Haroske   +2 more
openaire   +2 more sources

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 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

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