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

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Conference article › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	930-934
Number of pages	5
Journal	Procedia Engineering
Volume	29
DOIs	https://doi.org/10.1016/j.proeng.2012.01.066
Publication status	Published - 2012
Event	2012 International Workshop on Information and Electronics Engineering, IWIEE 2012 - Harbin, China Duration: 10 Mar 2012 → 11 Mar 2012

Keywords

Hermite function
Linear canonical transform
Possibility theory
Time-frequency analysis

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10.1016/j.proeng.2012.01.066

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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",

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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

Abstract

Keywords

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