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 | |
| 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 |
指纹
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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