双四元数偏移线性典型变换的不确定性原理

IF 0.9 3区数学 Q2 MATHEMATICS Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-03-15 DOI:10.1007/s11868-024-00590-6

Wen-Biao Gao

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引用次数: 0

摘要

本文定义了与双四元数相关的偏移线性正典变换，称之为双四元数偏移线性正典变换（BiQOLCT）。然后，得到了 BiQOLCT 的逆变换和 Plancherel 公式。接着，建立了 BiQOLCT 的海森堡不确定性原理和 Donoho-Stark 不确定性原理。最后，我们利用与 BiQOLCT 相关的 Donoho-Stark 不确定性原理研究了信号恢复的应用。

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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 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.

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来源期刊

Journal of Pseudo-Differential Operators and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.20

自引率

9.10%

发文量

期刊介绍： The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.