Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
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Springer
2023
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Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11075-022-01389-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7361 |
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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 |
_version_ |
1761912524228263936 |
score |
8.891145 |