Tighter Uncertainty Principles Based on Quaternion Fourier Transform

被引：22

作者：

Yang, Yan ^{[1
]}

Dang, Pei ^{[2
]}

Qian, Tao ^{[3
]}

机构：

[1] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

[2] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China

[3] Univ Macau, Dept Math, Macau, Peoples R China

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2016年 / 26卷 / 01期

关键词：

Uncertainty principle; Quaternion Fourier transform; Covariance; REAL SIGNALS; PHASE-SPACE; DOMAINS;

D O I：

10.1007/s00006-015-0579-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The quaternion Fourier transform (QFT) and its properties are reviewed in this paper. Under the polar coordinate form for quaternion-valued signals, we strengthen the stronger uncertainty principles in terms of covariance for quaternion-valued signals based on the right-sided quaternion Fourier transform in both the directional and the spatial cases. We also obtain the conditions that give rise to the equal relations of two uncertainty principles. Examples are given to verify the results.

引用

页码：479 / 497

页数：19

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