GENERALIZED UNCERTAINTY PRINCIPLES FOR THE TWO-SIDED QUATERNION LINEAR CANONICAL TRANSFORM

被引：0

作者：

Yan-Na, Zhang ^{[1
,2
]}

Bing-Zhao, Li ^{[1
,2
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 102488, Peoples R China

[2] Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China

来源：

2018 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP) | 2018年

基金：

中国国家自然科学基金;

关键词：

Uncertainty principle; Quaternion linear canonical transform; Quaternion Fourier transform; FOURIER-TRANSFORM; REAL SIGNALS;

D O I：

暂无

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

An uncertainty principle (UP), which offers information about a function and its Fourier transform (FT) in the time-frequency plane, is particularly powerful in the field of signal processing. In this paper, based on the fundamental relationship between the quaternion linear canonical transform (QLCT) and quaternion Fourier transform (QFT), we propose two different UPs related to the two-sided QLCT. Different from existing results in the spatial and frequency domains, new derived consequences can be regarded as a general form of the UP of the QLCT, which present lower bounds for the product of spreads of a quaternion-valued function in two different QLCT domains.

引用

页码：4594 / 4598

页数：5

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