Uncertainty principles for the two-sided offset quaternion linear canonical transform

被引：17

作者：

Zhu, Xiaoyu ^{[1
]}

Zheng, Shenzhou ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 18期

基金：

中国国家自然科学基金;

关键词：

offset quaternion linear canonical transform (OQLCT); quaternion Fourier transform (QFT); uncertainty principle (UP); short-time offset quaternion linear canonical transform (SOQLCT); FOURIER-TRANSFORM; CONVOLUTION;

D O I：

10.1002/mma.7692

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The offset quaternion linear canonical transform (OQLCT) provides a more general framework for a number of linear integral transforms in signal processing and optics, such as quaternion Fourier transform (QFT), fractional quaternion Fourier transform (FrQFT), and linear canonical transform (QLCT). We devote this paper to various different of uncertainty principles (UPs) for the two-sided OQLCT, which including logarithmic UP, Heisenberg-type UP, Hardy's UP, Beurling's UP, Entropic UP, Donoho-Stark's UP, and Local UP. Moreover, we also prove Lieb's UP for the two-sided short-time offset quaternion linear canonical transform (SOQLCT).

引用

页码：14236 / 14255

页数：20

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