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Fast Fourier Transforms

open access: yes, 2018
As shown in Chap. 3, any application of Fourier methods leads to the evaluation of a discrete Fourier transform of length N (DFT(N)). Thus the efficient computation of DFT(N) is very important. Therefore this chapter treats fast Fourier transforms. A fast Fourier transform (FFT) is an algorithm for computing the DFT(N) which needs only a relatively low
Plonka, Gerlind   +7 more
openaire   +3 more sources

Arbitrary Sampling Fourier Transform and Its Applications in Magnetic Field Forward Modeling

open access: yesApplied Sciences, 2022
Numerical simulation and inversion imaging are essential in geophysics exploration. Fourier transform plays a vital role in geophysical numerical simulation and inversion imaging, especially in solving partial differential equations.
Shikun Dai   +4 more
doaj   +1 more source

Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
We present a general diagrammatic approach to the construction of efficient algorithms for computingthe Fourier transform of a function on a finite group.
David Maslan   +2 more
doaj   +1 more source

Are there approximate fast fourier transforms on graphs? [PDF]

open access: yes2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2016
Signal processing on graphs is a recent research domain that seeks to extend classical signal processing tools such as the Fourier transform to irregular domains given by a graph. In such a graph setting, a way to rapidly apply the Fourier transform, i.e. a Fast Fourier Transform (FFT), is lacking.
Le Magoarou, Luc, Gribonval, Rémi
openaire   +5 more sources

A Multi-Resolution Texture Image Retrieval Using Fast Fourier Transform

open access: yesThe Journal of Engineering Research, 2010
Texture is an important visual property that characterizes a wide range of natural and artificial images which makes it a useful feature for retrieving images. Several approaches have been proposed to describe the texture contents of an image.
A. Abdesselam
doaj   +1 more source

Fast computation of magnetostatic fields by Non-uniform Fast Fourier Transforms [PDF]

open access: yesApplied Physics Letters 93, 13 (2008) 132508, 2008
The bottleneck of micromagnetic simulations is the computation of the long-ranged magnetostatic fields. This can be tackled on regular N-node grids with Fast Fourier Transforms in time N logN, whereas the geometrically more versatile finite element methods (FEM) are bounded to N^4/3 in the best case.
arxiv   +1 more source

Multi‐institutional study on image quality for a novel CBCT solution on O‐ring linac

open access: yesJournal of Applied Clinical Medical Physics, EarlyView.
Abstract Introduction This work presents a multi‐institutional study on image quality provided by a novel cone beam computed tomography (CBCT). The main goal is to investigate the consistency of imaging performance across multiple institutions.
Luis Agulles‐Pedrós   +11 more
wiley   +1 more source

Fast algorithms for nonuniform Chirp-Fourier transform

open access: yesAIMS Mathematics
The Chirp-Fourier transform is one of the most important tools of the modern signal processing. It has been widely used in the fields of ultrasound imaging, parameter estimation, and so on.
Yannan Sun , Wenchao Qian
doaj   +1 more source

T2‐weighted imaging of rectal cancer using a 3D fast spin echo sequence with and without deep learning reconstruction: A reader study

open access: yesJournal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose To compare image quality and clinical utility of a T2‐weighted (T2W) 3‐dimensional (3D) fast spin echo (FSE) sequence using deep learning reconstruction (DLR) versus conventional reconstruction for rectal magnetic resonance imaging (MRI).
Dan Nguyen   +11 more
wiley   +1 more source

Improved Performances in Point-to-Multipoint Flexible Optical Transceivers Utilizing Cascaded Discrete Fourier Transform-Spread Inverse Fast Fourier Transform/Fast Fourier Transform-Based Multi-Channel Aggregation/De-Aggregation

open access: yesPhotonics
The previously proposed cascaded inverse fast Fourier transform/fast Fourier transform (IFFT/FFT)-based point-to-multipoint (P2MP) flexible optical transceivers have the potential to equip future intensity modulation and direct detection (IMDD) optical ...
Lin Chen   +7 more
doaj   +1 more source

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