Sampling expansion in function spaces associated with the linear canonical transform

Xiaoping Liu; Jun Shi; Xuejun Sha; Naitong Zhang

doi:10.1007/s11760-013-0507-5

Sampling expansion in function spaces associated with the linear canonical transform

Xiaoping Liu^*
, Jun Shi
, Xuejun Sha
, Naitong Zhang

^*Corresponding author for this work

School of Electronics and Information Engineering

Harbin Institute of Technology
Harbin Institute of Technology Shenzhen

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

3 Scopus citations

Abstract

In this paper, we investigate sampling expansion for the linear canonical transform (LCT) in function spaces. First, some properties of the function spaces related to the LCT are obtained. Then, a sampling theorem for the LCT in function spaces with a single-frame generator is derived by using the Zak Transform and its generalization to the LCT domain. Some examples are also presented.

Original language	English
Pages (from-to)	143-148
Number of pages	6
Journal	Signal, Image and Video Processing
Volume	8
Issue number	1
DOIs	https://doi.org/10.1007/s11760-013-0507-5
State	Published - Jan 2014

Keywords

Frames
Function spaces
Linear canonical transform
Riesz bases
Sampling theorem

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10.1007/s11760-013-0507-5

Cite this

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title = "Sampling expansion in function spaces associated with the linear canonical transform",

abstract = "In this paper, we investigate sampling expansion for the linear canonical transform (LCT) in function spaces. First, some properties of the function spaces related to the LCT are obtained. Then, a sampling theorem for the LCT in function spaces with a single-frame generator is derived by using the Zak Transform and its generalization to the LCT domain. Some examples are also presented.",

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AU - Sha, Xuejun

AU - Zhang, Naitong

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AB - In this paper, we investigate sampling expansion for the linear canonical transform (LCT) in function spaces. First, some properties of the function spaces related to the LCT are obtained. Then, a sampling theorem for the LCT in function spaces with a single-frame generator is derived by using the Zak Transform and its generalization to the LCT domain. Some examples are also presented.

KW - Frames

KW - Function spaces

KW - Linear canonical transform

KW - Riesz bases

KW - Sampling theorem

UR - https://www.scopus.com/pages/publications/84891891081

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DO - 10.1007/s11760-013-0507-5

M3 - 文章

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JO - Signal, Image and Video Processing

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ER -

Sampling expansion in function spaces associated with the linear canonical transform

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Keywords

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