Results 21 to 30 of about 1,101,667 (305)
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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Quantum Fourier transform revisited [PDF]
, 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
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Low Complexity Keystone Transform and Radon Fourier Transform Utilizing Chirp-Z Transform
IEEE 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
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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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A Didactic and Visual Approach to the Fourier Transform
Revista Brasileira de Ensino de Física, 2023 This work provides a comprehensive derivation of the Fourier transform, with less emphasis on the mathematical rigor associated with the theory. Instead, its primary goal is to serve as a didactic resource that fosters an understanding of various ...
Daniel José Kmita +1 more
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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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Engineering Proceedings, 2023 For front-end wireless applications in small battery-powered devices, discrete Fourier transform (DFT) is a critical processing method for discrete time signals. Advanced radix structures are created to reduce the impact of transistor malfunction.
Ernest Ravindran Ramaswami Sachidanandan +2 more
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Transactions of the American Mathematical Society, 1974 If f ( x ) f(x) and g ( x ) g(x) satisfy the equations \[ g ( x ) = d d x ∫ 0 ∞ 1 t ...
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Large-Scale Discrete Fourier Transform on TPUs
IEEE Access, 2021 In this work, we present two parallel algorithms for the large-scale discrete Fourier transform (DFT) on Tensor Processing Unit (TPU) clusters. The two parallel algorithms are associated with two DFT formulations: one formulation, denoted as KDFT, is ...
Tianjian Lu +4 more
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