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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 inputs.
Yu, Qian   +2 more
semanticscholar   +4 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

Comparison of Raman and Fourier Transform Infrared Spectroscopy for the Quantification of Microplastics in the Aquatic Environment

open access: yesEnvironmental Science & Technology, 2018
Microplastics (MPs, 500 μm were visually sorted and manually analyzed by μ-Raman and attenuated total reflection (ATR)-FTIR spectroscopy. Microplastics ≤500 μm were concentrated on gold-coated filters and analyzed by automated single-particle exploration
Livia Cabernard   +2 more
exaly   +2 more sources

The Fourier transform on valuations is the Fourier transform [PDF]

open access: yesJournal of Functional Analysis, 2023
Alesker has proved the existence of a remarkable isomorphism of the space of translation-invariant smooth valuations that has the same functorial properties as the classical Fourier transform.
Dmitry Faifman, Thomas Wannerer
semanticscholar   +1 more source

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

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