Large-Scale Discrete Fourier Transform on TPUs by Tianjian Lu, Yi-Fan Chen, Blake Hechtman, Tao Wang, John Anderson

Subjects: “…Discrete fourier transform…”
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Adaptive Local Polynomial Fourier Transform in ISAR by Thayaparan Thayananthan, Djurović Igor, Stanković Ljubiša

“…<p/> <p>The adaptive local polynomial Fourier transform is employed for improvement of the ISAR images in complex reflector geometry cases, as well as in cases of fast maneuvering targets. …”
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Fourier-Transform-Rheology on linear polystyrene melts by Neidhöfer T., Wilhelm M., Spiess H.W.

Subjects: “…fourier-transform rheology…”
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Nanoscale Fourier-Transform Magnetic Resonance Imaging by John M. Nichol, Tyler R. Naibert, Eric R. Hemesath, Lincoln J. Lauhon, Raffi Budakian

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Correct Application of the Discrete Fourier Transform in Harmonics by MAIER, V., PAVEL, S. G., MAIER, C. D., BIROU, I.

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MATHEMATICAL MODELING OF FOURIER TRANSFORM IMAGING SPECTROMETER by N. K. Artioukhina, T. V. Klimovich, M. N. Kotov

“…Problems of mathematical modeling of Static Fourier Transform Imaging Spectrometers (SFTIS) for the Earth remote sensing from space are investigated. …”
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Review of MEMS Based Fourier Transform Spectrometers by Junyu Chai, Kun Zhang, Yuan Xue, Wenguang Liu, Tian Chen, Yao Lu, Guomin Zhao

Subjects: “…fourier transform spectrometers…”
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The Application based on Fourier Transform in Time Lens by Liu Rulin, Guo Shuqin, Xu Dacai

“…Space lens can achieve compression and amplification of imaging function, and it has the nature of Fourier transform in light field. Then the time lens can also realize the compression and amplification of the light pulse and its Fourier transform. …”
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(Nearly) sample-optimal sparse fourier transform by Indyk, Piotr, Kapralov, Mikhail, Price, Eric C

“…We consider the problem of computing a k-sparse approximation to the discrete Fourier transform of an n-dimensional signal. Our main result is a randomized algorithm that computes such an approximation using O(k log n(log log n)[superscript O(1)]) signal samples in time O(k log[superscript 2] n(log log n)[superscript O(1)]), assuming that the entries of the signal are polynomially bounded. …”
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A Fourier transform for the quantum Toda lattice by Lonergan, Gus

“…Drinfeld by constructing an ‘algebraic Fourier transform’ for the quantum Toda lattice of a complex reductive algebraic group G, which extends the classical ‘algebraic Fourier transform’ for its subalgebra $$D(T)^W$$ D ( T ) W of Weyl group invariant differential operators on a maximal torus. …”
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Polynomial Exponentiation: The Fast Fourier Transform Revisited by Bonneau, Richard J.

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Properties and applications of the short-space fourier transform by Bernstein, Jeffrey Gordon

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Optimizing a parallel fast Fourier transform by Hu, Richard, 1982-

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Calculating machine for Fourier transforms and related expressions

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Simple and practical algorithm for sparse fourier transform by Hassanieh, Haitham, Indyk, Piotr, Katabi, Dina, Price, Eric C.

“…We consider the sparse Fourier transform problem: given a complex vector x of length n, and a parameter k, estimate the k largest (in magnitude) coe fficients of the Fourier transform of x. …”
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Faster GPS via the sparse fourier transform by Hassanieh, Haitham, Adib, Fadel M., Katabi, Dina, Indyk, Piotr

“…The fastest known algorithm for this problem is based on the Fourier transform and has a complexity of O(n log n), where n is the number of signal samples. …”
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Fourier transform infrared spectroscopy on cooking oils by Lin, Dennis Shirong.

“…The purpose of this study is to optimize and characterize the cooking oils using Fourier Transform Infrared Spectroscopy (FTIR) in combination with the help of multivariate tool, Principal Component Analysis (PCA). …”
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On uncertainty principle of the local polynomial Fourier transform by Li, Xiumei, Bi, Guoan, Li, Shenghong

“…In terms of the signal concentration, comparisons among the short-time Fourier transform, the Wigner-Ville distribution and the second order LPFT are presented. …”
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FOURIER-TRANSFORM METHOD FOR THE CLASSICAL TRAJECTORY PROBLEM by Nesbet, R, Clary, D

“…Recent theoretical developments in classical bound-state dynamics, which make use of the geometrical structure in phase space known as an invariant toroid, can then be applied to collision problems. Fast Fourier transform techniques are used to construct the invariant toroid, which is the locus of an indefinitely extended nonperiodic classical trajectory. …”

Fast Fourier Transform Free From Tears by MacNaughten, A, Hoare, C