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

被引：0

作者：

Xie Y.-A. ^{[1
,3
]}

Li B.-Z. ^{[2
,3
]}

机构：

[1] School of Information and Electronics, Beijing Institute of Technology, Beijing

[2] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing

[3] Beijing Key Laboratory of Fractional Signals and Systems, Beijing

来源：

Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology | 2017年 / 37卷 / 11期

关键词：

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

D O I：

10.15918/j.tbit1001-0645.2017.11.13

中图分类号：

学科分类号：

摘要：

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. © 2017, Editorial Department of Transaction of Beijing Institute of Technology. All right reserved.

引用

页码：1183 / 1189

页数：6

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