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Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms

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Main Authors: Melanie, Kircheis, Daniel, Potts, Manfred, Tasche
Format: Book
Language:English
Published: Springer 2023
Subjects:
NNFFT
nonuniform fast Fourier transform
Online Access:https://link.springer.com/article/10.1007/s11075-022-01389-6
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7361
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spelling oai:localhost:PNK-73612023-03-31T01:53:42Z Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms Melanie, Kircheis Daniel, Potts Manfred, Tasche NNFFT nonuniform fast Fourier transform CC BY In this paper, we study the nonuniform fast Fourier transform with nonequispaced spatial and frequency data (NNFFT) and the fast sinc transform as its application. The computation of NNFFT is mainly based on the nonuniform fast Fourier transform with nonequispaced spatial nodes and equispaced frequencies (NFFT). The NNFFT employs two compactly supported, continuous window functions. For fixed nonharmonic bandwidth, we show that the error of the NNFFT with two sinh -type window functions has an exponential decay with respect to the truncation parameters of the used window functions. As an important application of the NNFFT, we present the fast sinc transform. 2023-03-31T01:53:42Z 2023-03-31T01:53:42Z 2023 Book https://link.springer.com/article/10.1007/s11075-022-01389-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7361 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic NNFFT
nonuniform fast Fourier transform
spellingShingle NNFFT
nonuniform fast Fourier transform
Melanie, Kircheis
Daniel, Potts
Manfred, Tasche
Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
description CC BY
format Book
author Melanie, Kircheis
Daniel, Potts
Manfred, Tasche
author_facet Melanie, Kircheis
Daniel, Potts
Manfred, Tasche
author_sort Melanie, Kircheis
title Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
title_short Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
title_full Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
title_fullStr Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
title_full_unstemmed Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
title_sort nonuniform fast fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11075-022-01389-6
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7361
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score 8.887836

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