The Extrapolation Theorem for Discrete Signals in the Offset Linear Canonical Transform Domain

被引：0
作者：
Shuiqing Xu
Li Feng
Yi Chai
Tingli Cheng
Yigang He
机构：
[1] Hefei University of Technology,College of Electrical Engineering and Automation
[2] Chongqing University,State Key Laboratory of Power Transmission Equipment and System Security and New Technology
[3] Chongqing Jiaotong University,College of Automation
[4] Chongqing University,College of Automation
[5] Wuhan University,College of Electrical Engineering and Automation
[6] Hefei University of Technology,College of Electrical Engineering and Automation
来源：
Circuits, Systems, and Signal Processing | 2022年 / 41卷
关键词：
Offset linear canonical transform; Extrapolation theorem; Discrete band-limited signal;
D O I：
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中图分类号：
学科分类号：
摘要：
The extrapolation theorem is an essential and important theory in signal analysis. Since the offset linear canonical transform (OLCT) has proven to be an effective method in signal processing and optics, extrapolation theorems for continuous band-limited signals associated with the OLCT have been well studied. However, the extrapolation theorem for discrete signals in the OLCT domain remains unknown. In this short paper, by using the discrete generalized prolate spheroidal sequences (DGPSSs), the extrapolation theorem for discrete signals is presented. First, the definition of DGPSSs in the OLCT domain is proposed. Subsequently, the extrapolation theorem for OLCT discrete band-limited signals is obtained using the DGPSSs. In addition, a simplified computation of the extrapolation theorem for discrete band-limited signals in the OLCT domain is also obtained. Finally, simulation results are presented to show the utility and efficacy of the derived theorems.
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页码：609 / 620
页数：11
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