A new kind of convolution, correlation and product theorems related to quaternion linear canonical transform

被引：0
|
作者：
Zhen-Wei Li
Wen-Biao Gao
Bing-Zhao Li
机构：
[1] Beijing Institute of Technology,School of Mathematics and Statistics
[2] Beijing Institute of Technology,Beijing Key Laboratory on MCAACI
来源：
Signal, Image and Video Processing | 2021年 / 15卷
关键词：
Linear canonical transform; Quaternion linear canonical transform; Convolution operator; Correlation operator; Product theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The quaternion linear canonical transform (QLCT) has been investigated and used for many years by various research communities; it has been shown to be a powerful tool for signal processing. In this paper, a novel canonical convolution operator and a related correlation operator for QLCT are proposed. Moreover, based on the proposed operators, the corresponding generalized convolution, correlation and product theorems are studied.
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页码：103 / 110
页数：7
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