A Novel Signal Reconstruction Method Based on Linear Canonical Transform for the Nonuniform Sampling

Yan An Xie; Bing Zhao Li

doi:10.15918/j.tbit1001-0645.2017.11.13

A Novel Signal Reconstruction Method Based on Linear Canonical Transform for the Nonuniform Sampling

Yan An Xie, Bing Zhao Li^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

1 Citation (Scopus)

Abstract

A new kind of signal reconstruction method was proposed based on linear canonical transform (LCT) for the nonuniform sampling signal. Firstly, a new discrete LCT was defined according as the properties of periodic nonuniform sampling model. And then, the relationship between the discrete and the continuous LCT spectrum of the signal was derived, and a LCT field with this relationship was proposed based on the signal reconstruction arithmetic for the periodic nonuniform sampling. Finally, a simulation experiment was carried out with one-dimensional periodic nonuniform sampling signal to verify the correctness of the derived results. The simulation results show that the reconstructed signal is basically the same as the original signal.

Original language	English
Pages (from-to)	1183-1189
Number of pages	7
Journal	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume	37
Issue number	11
DOIs	https://doi.org/10.15918/j.tbit1001-0645.2017.11.13
Publication status	Published - 1 Nov 2017

Keywords

Discrete linear canonical transform
Linear canonical transform
Periodic nonuniform sampling model
Spectral reconstruction

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10.15918/j.tbit1001-0645.2017.11.13

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title = "A Novel Signal Reconstruction Method Based on Linear Canonical Transform for the Nonuniform Sampling",

abstract = "A new kind of signal reconstruction method was proposed based on linear canonical transform (LCT) for the nonuniform sampling signal. Firstly, a new discrete LCT was defined according as the properties of periodic nonuniform sampling model. And then, the relationship between the discrete and the continuous LCT spectrum of the signal was derived, and a LCT field with this relationship was proposed based on the signal reconstruction arithmetic for the periodic nonuniform sampling. Finally, a simulation experiment was carried out with one-dimensional periodic nonuniform sampling signal to verify the correctness of the derived results. The simulation results show that the reconstructed signal is basically the same as the original signal.",

keywords = "Discrete linear canonical transform, Linear canonical transform, Periodic nonuniform sampling model, Spectral reconstruction",

author = "Xie, {Yan An} and Li, {Bing Zhao}",

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T1 - A Novel Signal Reconstruction Method Based on Linear Canonical Transform for the Nonuniform Sampling

AU - Xie, Yan An

AU - Li, Bing Zhao

PY - 2017/11/1

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N2 - A new kind of signal reconstruction method was proposed based on linear canonical transform (LCT) for the nonuniform sampling signal. Firstly, a new discrete LCT was defined according as the properties of periodic nonuniform sampling model. And then, the relationship between the discrete and the continuous LCT spectrum of the signal was derived, and a LCT field with this relationship was proposed based on the signal reconstruction arithmetic for the periodic nonuniform sampling. Finally, a simulation experiment was carried out with one-dimensional periodic nonuniform sampling signal to verify the correctness of the derived results. The simulation results show that the reconstructed signal is basically the same as the original signal.

AB - A new kind of signal reconstruction method was proposed based on linear canonical transform (LCT) for the nonuniform sampling signal. Firstly, a new discrete LCT was defined according as the properties of periodic nonuniform sampling model. And then, the relationship between the discrete and the continuous LCT spectrum of the signal was derived, and a LCT field with this relationship was proposed based on the signal reconstruction arithmetic for the periodic nonuniform sampling. Finally, a simulation experiment was carried out with one-dimensional periodic nonuniform sampling signal to verify the correctness of the derived results. The simulation results show that the reconstructed signal is basically the same as the original signal.

KW - Discrete linear canonical transform

KW - Linear canonical transform

KW - Periodic nonuniform sampling model

KW - Spectral reconstruction

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JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

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A Novel Signal Reconstruction Method Based on Linear Canonical Transform for the Nonuniform Sampling

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Keywords

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