Recasting the (Synchrosqueezed) Short-Time Fourier Transform as an Instantaneous Spectrum by Steven Sandoval, Phillip L. De Leon

“…In this paper, we recast both the Fourier transform (FT) and filterbank (FB) interpretations of the short-time Fourier transform (STFT) as instantaneous spectra. …”
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Electric circuits for universal quantum gates and quantum Fourier transformation by Motohiko Ezawa

“…Furthermore, we construct the π/2^{n} phase-shift gate for an arbitrary integer n, which is an essential element to perform the quantum Fourier transformation and prime factorization based on the Shor algorithm. …”
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Determination of Caffeine in Coffee by Means Fourier Transform Infrared Spectrometry by Máximo Gallignani, Marifred Torres, Carlos Ayala, María del Rosario Brunetto

“…In this work a flow analysis-Fourier transform infrared spectrometric (FA-FTIR) method for the determination of caffeine in coffee was developed. …”
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Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs by Martijn Caspers

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Fourier Transform for Locally Integrable Functions with Rotational and Dilation Symmetry by Jerzy A. Przeszowski, Elżbieta Dzimida-Chmielewska, Jan L. Cieśliński

Subjects: “…Fourier transform…”
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Template Matching Using Improved Rotations Fourier Transform Method by Marvin Chandra Wijaya

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Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II by David Maslan, Daniel N. Rockmore, Sarah Wolff

“…We present a general diagrammatic approach to the construction of efficient algorithms for computingthe Fourier transform of a function on a finite group. By extending work which connects Bratteli diagrams to theconstruction of Fast Fourier Transform algorithms we make explicit use of the path algebra connection and work inthe setting of quivers. …”
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Static, refractive and monolithic Fourier transform spectrometer: development and prototyping by Fabio Frassetto, Lorenzo Cocola, Paola Zuppella, Vania Da Deppo, Luca Poletto

“…Abstract Static Fourier transform spectrometers are devices that can be realized as monolithic and compact assemblies. …”
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Protocol for bacterial typing using Fourier transform infrared spectroscopy by Huayan Yang, Haimei Shi, Bin Feng, Li Wang, Liangqiang Chen, Avelino Alvarez-Ordóñez, Li Zhang, Hao Shen, Jianhua Zhu, Shouning Yang, Chuanfan Ding, Miguel Prietod, Fan Yang, Shaoning Yu

“…Summary: The Fourier transform infrared (FT-IR) signals obtained from bacterial samples are specific and reproducible, making FT-IR an efficient tool for bacterial typing at a subspecies level. …”
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Digital Fourier Transform Holography Using a Beam Displacer by Mohit Rathor, Shivam Kumar Chaubey, Rakesh Kumar Singh

Subjects: “…digital Fourier transform holography…”
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Research on Speech Emotion Recognition Based on the Fractional Fourier Transform by Lirong Huang, Xizhong Shen

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Determination of the crystal lattice parameters based on the fast Fourier transform by Maxim Yu. Ponamarev

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Edge effects in chirped-pulse Fourier transform microwave spectra by Park III, George Barratt, Field, Robert W

“…Recent applications of chirped-pulse Fourier transform microwave and millimeter wave spectroscopy have motivated the use of short (10–50 ns) chirped excitation pulses. …”
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Density of Gabor Systems Via the Short Time Fourier Transform by Clark, William, Nitzan, Shahaf, Sullivan, Joseph, Ahn, Andrew Jeehyun

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High-performance and scalable on-chip digital Fourier transform spectroscopy by Kita, Derek M, Miranda, Brando, Favela, David, Bono, David, Michon, Jérôme, Lin, Hongtao, Gu, Tian, Hu, Juejun

“…Here we demonstrate a transformative on-chip digital Fourier transform spectrometer that acquires high-resolution spectra via time-domain modulation of a reconfigurable Mach-Zehnder interferometer. …”
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Integrated Photonic Spectroscopy: Applying the Digital Fourier-Transform Spectrometer by Micale, Gillian K.

“…The digital Fourier-Transform (dFT) spectrometer is a promising on-chip spectrometer architecture that offers exponential scaling for resolution with a compact device footprint. …”
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Radon-Fourier transforms on symmetric spaces and related group representations by Helgason, S.

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Reconstruction of two-dimensional signals from the Fourier transform magnitude

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Prediction of satellite cloud patterns using spatial Fourier transforms. by Bluestein, Howard B

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Signal processing methods based on the local polynomial fourier transform by Li, Xiu Mei

“…The widely used linear transform is the short-time Fourier transform (STFT). The nonlinear transforms include the Wigner-Ville distribution (WVD) and various classes of quadratic time-frequency transforms. …”
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