Sampling and reconstruction of signals in function spaces associated with the linear canonical transform

Jun Shi; Xiaoping Liu; Xuejun Sha; Naitong Zhang

doi:10.1109/TSP.2012.2210887

Sampling and reconstruction of signals in function spaces associated with the linear canonical transform

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

^*Corresponding author for this work

School of Electronics and Information Engineering

University of Delaware
Harbin Institute of Technology
Harbin Institute of Technology Shenzhen

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

62 Scopus citations

Abstract

The linear canonical transform (LCT) has been shown to be useful and powerful in signal processing, optics, etc. Many results of this transform are already known, including sampling theory. Most existing sampling theories of the LCT consider the class of bandlimited signals. However, in the real world, many analog signals arising in engineering applications are non-bandlimited.

Original language	English
Article number	6255802
Pages (from-to)	6041-6047
Number of pages	7
Journal	IEEE Transactions on Signal Processing
Volume	60
Issue number	11
DOIs	https://doi.org/10.1109/TSP.2012.2210887
State	Published - 2012

Keywords

Convolution theorem
function spaces
linear canonical transform
sampling and reconstruction

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10.1109/TSP.2012.2210887

Cite this

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title = "Sampling and reconstruction of signals in function spaces associated with the linear canonical transform",

abstract = "The linear canonical transform (LCT) has been shown to be useful and powerful in signal processing, optics, etc. Many results of this transform are already known, including sampling theory. Most existing sampling theories of the LCT consider the class of bandlimited signals. However, in the real world, many analog signals arising in engineering applications are non-bandlimited.",

keywords = "Convolution theorem, function spaces, linear canonical transform, sampling and reconstruction",

author = "Jun Shi and Xiaoping Liu and Xuejun Sha and Naitong Zhang",

year = "2012",

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AU - Shi, Jun

AU - Liu, Xiaoping

AU - Sha, Xuejun

AU - Zhang, Naitong

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N2 - The linear canonical transform (LCT) has been shown to be useful and powerful in signal processing, optics, etc. Many results of this transform are already known, including sampling theory. Most existing sampling theories of the LCT consider the class of bandlimited signals. However, in the real world, many analog signals arising in engineering applications are non-bandlimited.

AB - The linear canonical transform (LCT) has been shown to be useful and powerful in signal processing, optics, etc. Many results of this transform are already known, including sampling theory. Most existing sampling theories of the LCT consider the class of bandlimited signals. However, in the real world, many analog signals arising in engineering applications are non-bandlimited.

KW - Convolution theorem

KW - function spaces

KW - linear canonical transform

KW - sampling and reconstruction

UR - https://www.scopus.com/pages/publications/84867536084

U2 - 10.1109/TSP.2012.2210887

DO - 10.1109/TSP.2012.2210887

M3 - 文章

AN - SCOPUS:84867536084

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JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

IS - 11

M1 - 6255802

ER -

Sampling and reconstruction of signals in function spaces associated with the linear canonical transform

Abstract

Keywords

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