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Efficient parallel algorithms for optical computing with the discrete Fourier transform (DFT) primitive

Applied Optics, 1997
Optical-computing technology offers new challenges to algorithm designers since it can perform an n-point discrete Fourier transform (DFT) computation in only unit time. Note that the DFT is a nontrivial computation in the parallel random-access machine model, a model of computing commonly used by parallel-algorithm designers. We develop two new models,
J H, Reif, A, Tyagi
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A novel algorithm for digital overcurrent relay using discrete Fourier transform (DFT)

7th IET International Conference on Advances in Power System Control, Operation and Management (APSCOM 2006), 2006
An over current protective relays has played very important role in maintaining reliability of a distribution system and protecting the equipment from the damage due to system fault. The performance of a relay is greatly determined by its sensitivity and response time.
Jiang, F., Bo, Z. Q., Chen, Zhe
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Realization of a discrete Fourier transform (DFT) module for incorporation in FFT processors

Proceedings of the IEEE, 1977
For applications requiring high-speed and in-place treatment, it is often advantageous to realize special-purpose computers. This paper describes a discrete Fourier transform (DFT) module for incorpration in fast Fourier transform (FFT) processors. The module is highly suitable for real input applications requiring high-speed transformations.
A. Pomerleau, M. Fournier, H.L. Buijs
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Properties of the Discrete Fourier Transform (DFT)

1977
This paper will be divided into two parts. The first is intended as a companion to a tutorial session on those basic properties of the DFT which lead to Fast Fourier Transform algorithms. The second part will range more widely, in particular considering ways in which certain less well-known properties of the DFT could be turned to practical use.
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Discrete Fractional Fourier Transforms Based on Closed-Form Hermite–Gaussian-Like DFT Eigenvectors

IEEE Transactions on Signal Processing, 2017
In this paper, we construct discrete fractional Fourier transforms (DFrFT) using recently introduced closed-form Hermite–Gaussian-like (HGL) eigenvectors. With respect to such eigenvectors, we discuss the convergence of their components to samples of the corresponding continuous Hermite–Gaussian functions and propose solutions to deal with some ...
José Rodrigues de Oliveira-Neto   +1 more
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Improved power converter line synchronisation using an adaptive Discrete Fourier Transform (DFT)

2002 IEEE 33rd Annual IEEE Power Electronics Specialists Conference. Proceedings (Cat. No.02CH37289), 2003
The problem of line synchronisation for grid connected power converters where the grid is weak or comes from a remote area power supply with poor frequency governing, is now well recognised. Such supplies can suffer a significant amount of line voltage distortion due to notches caused by power device commutation and/or low frequency harmonic content ...
B.P. McGrath, D.G. Holmes, J. Galloway
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Fourier Transform Analysis of Discrete Time Signals and Systems—DTFT, DFT and FFT

2021
In Chap. 4, we represented continuous time periodic signals as a sum of everlasting exponentials by Fourier series. Similarly, in Chap. 5, the discrete time periodic signals was represented by discrete time Fourier series using a parallel development of continuous time system.
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Measurement of time delay using the time shift property of the discrete Fourier transform (DFT)

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1986
The time shift property of the discrete Fourier transform (DFT) is used in the measurement of time delay. The eccentricity of a screw rod has been experimentally measured, and delays of the ultrasonic wave have been known with the precision of one percent of the temporal sampling interval.
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DFT-CAM: Discrete Fourier Transform Driven Class Activation Map

2023 IEEE International Conference on Image Processing (ICIP), 2023
Yang Yang Wang, Filiz Bunyak
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