Nonuniform fast linear canonical transform

Yannan Sun; Bingzhao Li

doi:10.1109/APSIPAASC47483.2019.9023086

Nonuniform fast linear canonical transform

Yannan Sun, Bingzhao Li

数学学院

Jiangsu University

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

摘要

The linear canonical transform (LCT) is a generalized form of the Fourier transformation. It has been shown to be one of the most powerful tools in applied mathematics, signal processing and optics fields. The aim of this paper is to present a nonuniform fast linear canonical transform (NFLCT), which emerges in many areas of physics and engineering. The proposed algorithm generalizes the fast linear canonical transform to the case of non-integer frequencies on the interval [-bπ, bπ]. The algorithm requires O(N log N + N log(1)) arithmetic operations where is the precision of computations and N is the number of nodes. The efficiency of the approach is illustrated by simulations.

源语言	英语
主期刊名	2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019
出版商	Institute of Electrical and Electronics Engineers Inc.
页	759-764
页数	6
ISBN（电子版）	9781728132488
DOI	https://doi.org/10.1109/APSIPAASC47483.2019.9023086
出版状态	已出版 - 11月 2019
活动	2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019 - Lanzhou, 中国期限: 18 11月 2019 → 21 11月 2019

出版系列

姓名	2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019

会议

会议	2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019
国家/地区	中国
市	Lanzhou
时期	18/11/19 → 21/11/19

访问文件

10.1109/APSIPAASC47483.2019.9023086

其它文件与链接

链接到 Scopus 的出版物

引用此

Sun, Y., & Li, B. (2019). Nonuniform fast linear canonical transform. 在 2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019 (页码 759-764). 文章 9023086 (2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APSIPAASC47483.2019.9023086

Sun, Yannan ; Li, Bingzhao. / Nonuniform fast linear canonical transform. 2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 页码 759-764 (2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019).

@inproceedings{dc4fabb6f3554bbaac92bb870605ae5f,

title = "Nonuniform fast linear canonical transform",

abstract = "The linear canonical transform (LCT) is a generalized form of the Fourier transformation. It has been shown to be one of the most powerful tools in applied mathematics, signal processing and optics fields. The aim of this paper is to present a nonuniform fast linear canonical transform (NFLCT), which emerges in many areas of physics and engineering. The proposed algorithm generalizes the fast linear canonical transform to the case of non-integer frequencies on the interval [-bπ, bπ]. The algorithm requires O(N log N + N log(1)) arithmetic operations where is the precision of computations and N is the number of nodes. The efficiency of the approach is illustrated by simulations.",

author = "Yannan Sun and Bingzhao Li",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019 ; Conference date: 18-11-2019 Through 21-11-2019",

year = "2019",

month = nov,

doi = "10.1109/APSIPAASC47483.2019.9023086",

language = "English",

series = "2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "759--764",

booktitle = "2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019",

address = "United States",

}

Sun, Y & Li, B 2019, Nonuniform fast linear canonical transform. 在 2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019., 9023086, 2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019, Institute of Electrical and Electronics Engineers Inc., 页码 759-764, 2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019, Lanzhou, 中国, 18/11/19. https://doi.org/10.1109/APSIPAASC47483.2019.9023086

Nonuniform fast linear canonical transform. / Sun, Yannan; Li, Bingzhao.
2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 页码 759-764 9023086 (2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Nonuniform fast linear canonical transform

AU - Sun, Yannan

AU - Li, Bingzhao

PY - 2019/11

Y1 - 2019/11

N2 - The linear canonical transform (LCT) is a generalized form of the Fourier transformation. It has been shown to be one of the most powerful tools in applied mathematics, signal processing and optics fields. The aim of this paper is to present a nonuniform fast linear canonical transform (NFLCT), which emerges in many areas of physics and engineering. The proposed algorithm generalizes the fast linear canonical transform to the case of non-integer frequencies on the interval [-bπ, bπ]. The algorithm requires O(N log N + N log(1)) arithmetic operations where is the precision of computations and N is the number of nodes. The efficiency of the approach is illustrated by simulations.

AB - The linear canonical transform (LCT) is a generalized form of the Fourier transformation. It has been shown to be one of the most powerful tools in applied mathematics, signal processing and optics fields. The aim of this paper is to present a nonuniform fast linear canonical transform (NFLCT), which emerges in many areas of physics and engineering. The proposed algorithm generalizes the fast linear canonical transform to the case of non-integer frequencies on the interval [-bπ, bπ]. The algorithm requires O(N log N + N log(1)) arithmetic operations where is the precision of computations and N is the number of nodes. The efficiency of the approach is illustrated by simulations.

UR - http://www.scopus.com/inward/record.url?scp=85082402927&partnerID=8YFLogxK

U2 - 10.1109/APSIPAASC47483.2019.9023086

DO - 10.1109/APSIPAASC47483.2019.9023086

M3 - Conference contribution

AN - SCOPUS:85082402927

T3 - 2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019

SP - 759

EP - 764

BT - 2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019

Y2 - 18 November 2019 through 21 November 2019

ER -

Sun Y, Li B. Nonuniform fast linear canonical transform. 在 2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. 页码 759-764. 9023086. (2019 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2019). doi: 10.1109/APSIPAASC47483.2019.9023086

Nonuniform fast linear canonical transform

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