线性正则变换的离散化研究进展

Yannan Sun; Bingzhao Li; Ran Tao

doi:10.12086/oee.2018.170738

线性正则变换的离散化研究进展

Translated title of the contribution: Research progress on discretization of linear canonical transform

Yannan Sun, Bingzhao Li^*, Ran Tao

^*Corresponding author for this work

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Linear canonical transformation (LCT) is a generalization of the Fourier transform and fractional Fourier transform. The recent studies have shown that LCT is widely used in optics, signal processing and applied mathematics, and the discretization of the LCT becomes vital for the applications of LCT. Since the discretization of LCT cannot be obtained by directly sampling in time domain and LCT domain, the discretization of the LCT becomes the focus of investigation recently. Based on the development history of LCT discretization, a review of important research progress and current situation of discretization of the LCT is presented in this paper. Meanwhile, the connection among different discretization algorithms and the future development direction are given.

Translated title of the contribution	Research progress on discretization of linear canonical transform
Original language	Chinese (Traditional)
Article number	170738
Journal	Guangdian Gongcheng/Opto-Electronic Engineering
Volume	45
Issue number	6
DOIs	https://doi.org/10.12086/oee.2018.170738
Publication status	Published - 1 Jun 2018

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abstract = "Linear canonical transformation (LCT) is a generalization of the Fourier transform and fractional Fourier transform. The recent studies have shown that LCT is widely used in optics, signal processing and applied mathematics, and the discretization of the LCT becomes vital for the applications of LCT. Since the discretization of LCT cannot be obtained by directly sampling in time domain and LCT domain, the discretization of the LCT becomes the focus of investigation recently. Based on the development history of LCT discretization, a review of important research progress and current situation of discretization of the LCT is presented in this paper. Meanwhile, the connection among different discretization algorithms and the future development direction are given.",

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T1 - 线性正则变换的离散化研究进展

AU - Sun, Yannan

AU - Li, Bingzhao

AU - Tao, Ran

PY - 2018/6/1

Y1 - 2018/6/1

N2 - Linear canonical transformation (LCT) is a generalization of the Fourier transform and fractional Fourier transform. The recent studies have shown that LCT is widely used in optics, signal processing and applied mathematics, and the discretization of the LCT becomes vital for the applications of LCT. Since the discretization of LCT cannot be obtained by directly sampling in time domain and LCT domain, the discretization of the LCT becomes the focus of investigation recently. Based on the development history of LCT discretization, a review of important research progress and current situation of discretization of the LCT is presented in this paper. Meanwhile, the connection among different discretization algorithms and the future development direction are given.

AB - Linear canonical transformation (LCT) is a generalization of the Fourier transform and fractional Fourier transform. The recent studies have shown that LCT is widely used in optics, signal processing and applied mathematics, and the discretization of the LCT becomes vital for the applications of LCT. Since the discretization of LCT cannot be obtained by directly sampling in time domain and LCT domain, the discretization of the LCT becomes the focus of investigation recently. Based on the development history of LCT discretization, a review of important research progress and current situation of discretization of the LCT is presented in this paper. Meanwhile, the connection among different discretization algorithms and the future development direction are given.

KW - Discrete linear canonical transform

KW - Discrete-time linear canonical transform

KW - Fractional Fourier transform

KW - Linear canonical series

KW - Linear canonical transform

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JO - Guangdian Gongcheng/Opto-Electronic Engineering

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ER -

线性正则变换的离散化研究进展

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