Results 11 to 20 of about 3,685,097 (324)
Quantum Weighted Fractional Fourier Transform
Mathematics, 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
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Fourier ptychography algorithm based on scaled Fourier transform
Electronics 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
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Discrete Fourier transform and permutations [PDF]
Bulletin 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
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Multiweighted-Type Fractional Fourier Transform: Unitarity
Fractal 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
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Critical reviews in environmental science and technology, 2020 Fourier transform infrared (FTIR) spectroscopy has been extensively used in microplastic (MP) pollution research since 2004. The aim of this review is to discuss and highlight the recent advances in FTIR (spectroscopy and chemical imaging) techniques ...
S. Veerasingam +10 more
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Coefficient-of-Determination Fourier Transform
Computation, 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
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Frequency chirped Fourier-Transform spectroscopy
Communications Physics, 2023 Fast and high-resolution Fourier transform spectrometers are indispensable for cutting-edge infrared spectroscopy. In this study, the authors employed a newly-designed fast-rotating retroreflective, broadband delay line demonstrating fast dual-comb ...
Sergej Markmann +8 more
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Peak Fitting Applied to Fourier Transform Infrared and Raman Spectroscopic Analysis of Proteins
Applied Sciences, 2020 FTIR and Raman spectroscopy are often used to investigate the secondary structure of proteins. Focus is then often laid on the different features that can be distinguished in the Amide I band (1600–1700 cm−1) and, to a lesser extent, the Amide II band ...
A. Sadat, I. Joye
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Clifford algebras, Fourier transforms and quantum mechanics [PDF]
, 2012 In this review, an overview is given of several recent generalizations of the Fourier transform, related to either the Lie algebra sl_2 or the Lie superalgebra osp(1|2).
De Bie, Hendrik
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Fast Fourier transform revisited
Lietuvos Matematikos Rinkinys, 2015 Using FFT (fast Fourier transform), it is assumed, that some signal samples in a respective period N are updated by a sensor in real time. It is urgent for every new signal sample to have new frequency samples (f.s.).
Rimantas Pupeikis
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