Sampling formulas for non-bandlimited quaternionic signals

被引：0
|
作者：
Xiaoxiao Hu
Kit Ian Kou
机构：
[1] Wenzhou Medical University,The First Affiliated Hospital of Wenzhou Medical University
[2] University of Macau,Department of Mathematics
来源：
Signal, Image and Video Processing | 2022年 / 16卷
关键词：
Quaternion Fourier transform; Quaternion linear canonical transform; Non-bandlimited quaternionic signal;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, sampling theorems for certain types of non-bandlimited quaternionic signals are proposed. We show that the non-bandlimited quaternionic signal can be reconstructed from its samples as well as the samples of its generalized Hilbert transforms associated with quaternion Fourier and linear canonical transform. Some simulations are provided to show how the sampling formulas can be used in applications.
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页码：1559 / 1567
页数：8
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