Uncertainty principles for the biquaternion offset linear canonical transform

被引：0
|
作者：
Gao, Wen-Biao [1 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2024年 / 15卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Offset linear canonical transforms; Biquaternion offset linear canonical transforms; Uncertainty principle; Signal recovery;
D O I：
10.1007/s11868-024-00590-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the offset linear canonical transform associated with biquaternion is defined, which is called the biquaternion offset linear canonical transforms (BiQOLCT). Then, the inverse transform and Plancherel formula of the BiQOLCT are obtained. Next, Heisenberg uncertainty principle and Donoho-Stark's uncertainty principle for the BiQOLCT are established. Finally, as an application, we study signal recovery by usingDonoho-Stark's uncertainty principle associated with theBiQOLCT.
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页数：19
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