Uncertainty principles for the biquaternion offset linear canonical transform

Uncertainty principles for the biquaternion offset linear canonical transform

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 Dono...

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Veröffentlicht in:Journal of pseudo-differential operators and applications 2024-06, Vol.15 (2), Article 22
1. Verfasser: Gao, Wen-Biao
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Functional Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Partial Differential Equations
Principles
Signal reconstruction
Uncertainty principles
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Zusammenfassung: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 using Donoho-Stark’s uncertainty principle associated with the BiQOLCT.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-024-00590-6