A new discretization algorithm of Linear Canonical Transform

Wen Li Zhang; Bing Zhao Li; Qi Yuan Cheng

doi:10.1016/j.proeng.2012.01.066

A new discretization algorithm of Linear Canonical Transform

Wen Li Zhang, Bing Zhao Li^*, Qi Yuan Cheng

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 会议文章 › 同行评审

11 引用（Scopus）

摘要

In order to improve the computing accuracy of Linear Canonical Transform (LCT), a new algorithm is proposed in this paper to compute the LCT of a function by using the eigenfunctions of the LCT. The proposed algorithm is easily understanding and implementing. In addition, this algorithm has an approximation results of the continuous LCT.

源语言	英语
页（从-至）	930-934
页数	5
期刊	Procedia Engineering
卷	29
DOI	https://doi.org/10.1016/j.proeng.2012.01.066
出版状态	已出版 - 2012
活动	2012 International Workshop on Information and Electronics Engineering, IWIEE 2012 - Harbin, 中国期限: 10 3月 2012 → 11 3月 2012

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Zhang, W. L., Li, B. Z., & Cheng, Q. Y. (2012). A new discretization algorithm of Linear Canonical Transform. Procedia Engineering, 29, 930-934. https://doi.org/10.1016/j.proeng.2012.01.066

@article{166ae526028e4ebc8fd1b948d295983f,

title = "A new discretization algorithm of Linear Canonical Transform",

abstract = "In order to improve the computing accuracy of Linear Canonical Transform (LCT), a new algorithm is proposed in this paper to compute the LCT of a function by using the eigenfunctions of the LCT. The proposed algorithm is easily understanding and implementing. In addition, this algorithm has an approximation results of the continuous LCT.",

keywords = "Hermite function, Linear canonical transform, Possibility theory, Time-frequency analysis",

author = "Zhang, {Wen Li} and Li, {Bing Zhao} and Cheng, {Qi Yuan}",

year = "2012",

doi = "10.1016/j.proeng.2012.01.066",

language = "English",

volume = "29",

pages = "930--934",

journal = "Procedia Engineering",

issn = "1877-7058",

publisher = "Elsevier B.V.",

note = "2012 International Workshop on Information and Electronics Engineering, IWIEE 2012 ; Conference date: 10-03-2012 Through 11-03-2012",

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TY - JOUR

T1 - A new discretization algorithm of Linear Canonical Transform

AU - Zhang, Wen Li

AU - Li, Bing Zhao

AU - Cheng, Qi Yuan

PY - 2012

Y1 - 2012

N2 - In order to improve the computing accuracy of Linear Canonical Transform (LCT), a new algorithm is proposed in this paper to compute the LCT of a function by using the eigenfunctions of the LCT. The proposed algorithm is easily understanding and implementing. In addition, this algorithm has an approximation results of the continuous LCT.

AB - In order to improve the computing accuracy of Linear Canonical Transform (LCT), a new algorithm is proposed in this paper to compute the LCT of a function by using the eigenfunctions of the LCT. The proposed algorithm is easily understanding and implementing. In addition, this algorithm has an approximation results of the continuous LCT.

KW - Hermite function

KW - Linear canonical transform

KW - Possibility theory

KW - Time-frequency analysis

UR - http://www.scopus.com/inward/record.url?scp=84863363582&partnerID=8YFLogxK

U2 - 10.1016/j.proeng.2012.01.066

DO - 10.1016/j.proeng.2012.01.066

M3 - Conference article

AN - SCOPUS:84863363582

SN - 1877-7058

VL - 29

SP - 930

EP - 934

JO - Procedia Engineering

JF - Procedia Engineering

T2 - 2012 International Workshop on Information and Electronics Engineering, IWIEE 2012

Y2 - 10 March 2012 through 11 March 2012

ER -

A new discretization algorithm of Linear Canonical Transform

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