Fast Fourier transforms for nonequispaced data

A Dutt, V Rokhlin - SIAM Journal on Scientific computing, 1993 - SIAM
… the fast Fourier transform to the case of noninteger frequencies and nonequispaced nodes
… considerations with the classical fast Fourier transform and generalize both the forward and …

Fast Fourier transforms for nonequispaced data, II

A Dutt, V Rokhlin - Applied and Computational Harmonic Analysis, 1995 - Elsevier
… the fast Fourier transform to the case of noninteger frequencies and nonequispaced nodes
… combination of the classical fast Fourier transform with a version of the fast multipole method, …

Fast Fourier transforms for nonequispaced data: A tutorial

D Potts, G Steidl, M Tasche - Modern Sampling Theory: Mathematics and …, 2001 - Springer
… for the fast computation of multivariate discrete Fourier transforms for nonequispaced data
(… to roundoff errors and apply NDFTalgorithms for the fast computation of Bessel transforms. …

A note on fast Fourier transforms for nonequispaced grids

G Steidl - Advances in computational mathematics, 1998 - Springer
… are concerned with fast Fourier transforms for nonequispaced grids. We propose a general
efficient method for the fast evaluation of trigonometric polynomials at nonequispaced nodes …

Non-equispaced fast Fourier transforms with applications to tomography

K Fourmont - Journal of Fourier Analysis and Applications, 2003 - Springer
… In this article we describe a non-equispaced fast Fourier transform. It is similar to the
algorithms of Dutt and Rokhlin [4] and Beylkin [2] but is based on an exact Fourier series

Fast Fourier transform at nonequispaced nodes and applications

M Fenn - None, 2005 - madoc.bib.uni-mannheim.de
… nodes (NDCT) and for the discrete sine transform at nonequispaced nodes (NDST). Our
approach is based on the fast Fourier transform at nonequispaced nodes (NFFT) proposed by …

[HTML][HTML] Direct inversion of the nonequispaced fast Fourier transform

M Kircheis, D Potts - Linear Algebra and its Applications, 2019 - Elsevier
… Having introduced the fast methods for nonequispaced data, we aim to find an inversion
for these algorithms encouraged by the fact that for equispaced data the inversion is well-known…

Accelerating the nonuniform fast Fourier transform

L Greengard, JY Lee - SIAM review, 2004 - SIAM
… The nonequispaced Fourier transform arises in a variety of application areas, from medical
imaging to radio astronomy to the numerical solution of partial differential equations. In a …

Accelerating the nonequispaced fast Fourier transform on commodity graphics hardware

TS Sørensen, T Schaeffter, KØ Noe… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
… The name “non-equispaced fast Fourier transform” stems from our CPU … fast Fourier transform
[11], the generalized fast Fourier transform [12], the unequallyspaced fast Fourier transform

Fast acquisition of NMR spectra using Fourier transform of non-equispaced data

D Marion - Journal of Biomolecular NMR, 2005 - Springer
… 1995, 2, 85–100) for fast Fourier transforms of non equispaced data. Examples of 1H)15N
HSQC spectra are shown, where crowded correlation peaks can be resolved using non-linear …