Simplification of DFT and IDFT in PRACH

Abstract The respective simplifications of prime‐point discrete Fourier transform (DFT) and ultra‐long‐point inverse discrete Fourier transform (IDFT) in physical random access channel (PRACH) are proposed. The former is an equivalent substitution of DFT function by using the property of Zadoff‐Chu...

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Main Authors: Yufeng Jiang, Shouxin Kang
Format: Article
Language:English
Published: Wiley 2023-08-01
Series:Electronics Letters
Subjects:
Online Access:https://doi.org/10.1049/ell2.12894
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author Yufeng Jiang
Shouxin Kang
author_facet Yufeng Jiang
Shouxin Kang
author_sort Yufeng Jiang
collection DOAJ
description Abstract The respective simplifications of prime‐point discrete Fourier transform (DFT) and ultra‐long‐point inverse discrete Fourier transform (IDFT) in physical random access channel (PRACH) are proposed. The former is an equivalent substitution of DFT function by using the property of Zadoff‐Chu (ZC) sequence, and the latter is an approximation based on cubic spline interpolation, which not only reduces the IDFT points, but also is easy to construct.
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spelling doaj.art-83206f1efc9c4264aa2c926eae16697b2023-08-11T07:18:29ZengWileyElectronics Letters0013-51941350-911X2023-08-015915n/an/a10.1049/ell2.12894Simplification of DFT and IDFT in PRACHYufeng Jiang0Shouxin Kang1CCTEG China Coal Research Institute No.5 Qingniangou RoadBeijing100013ChinaCCTEG China Coal Research Institute No.5 Qingniangou RoadBeijing100013ChinaAbstract The respective simplifications of prime‐point discrete Fourier transform (DFT) and ultra‐long‐point inverse discrete Fourier transform (IDFT) in physical random access channel (PRACH) are proposed. The former is an equivalent substitution of DFT function by using the property of Zadoff‐Chu (ZC) sequence, and the latter is an approximation based on cubic spline interpolation, which not only reduces the IDFT points, but also is easy to construct.https://doi.org/10.1049/ell2.128945G mobile communicationcomputational complexitysignal generators
spellingShingle Yufeng Jiang
Shouxin Kang
Simplification of DFT and IDFT in PRACH
Electronics Letters
5G mobile communication
computational complexity
signal generators
title Simplification of DFT and IDFT in PRACH
title_full Simplification of DFT and IDFT in PRACH
title_fullStr Simplification of DFT and IDFT in PRACH
title_full_unstemmed Simplification of DFT and IDFT in PRACH
title_short Simplification of DFT and IDFT in PRACH
title_sort simplification of dft and idft in prach
topic 5G mobile communication
computational complexity
signal generators
url https://doi.org/10.1049/ell2.12894
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