Uncertainty principle and orthogonal condition for the short-time linear canonical transform

被引：11

作者：

Huang, Lei ^{[1
]}

Zhang, Ke ^{[1
]}

Chai, Yi ^{[1
]}

Xu, Shuiqing ^{[1
]}

机构：

[1] Chongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Coll Automat, Chongqing 400044, Peoples R China

来源：

SIGNAL IMAGE AND VIDEO PROCESSING | 2016年 / 10卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Linear canonical transform; Short-time linear canonical transform; Uncertainty principle; Orthogonal condition; BAND-LIMITED SIGNALS; DOMAIN; SAMPLES; OPTICS; RECONSTRUCTION; ALGORITHM; THEOREMS;

D O I：

10.1007/s11760-016-0874-9

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The short-time linear canonical transform (STLCT) is a novel time-frequency analysis tool, which maps the time domain signal into the joint time and frequency domain. This short paper investigates its two theoretical problems. The first one relates to the uncertainty principle in one STLCT domain, and the other one is that coefficients of the short-time linear canonical expansion (STLCE) are of incompleteness. To solve these issues, first, we develop the uncertainty principle in one STLCT domain. Second, the orthogonal condition is proposed to guarantee the completeness of the STLCE coefficients.

引用

页码：1177 / 1181

页数：5

共 50 条

[1] Uncertainty principle and orthogonal condition for the short-time linear canonical transform
Lei Huang
Ke Zhang
Yi Chai
Shuiqing Xu
Signal, Image and Video Processing, 2016, 10 : 1177 - 1181
[2] Uncertainty principles for the short-time linear canonical transform of complex signals
Gao, Wen-Biao
Li, Bing-Zhao
DIGITAL SIGNAL PROCESSING, 2021, 111
[3] Octonion short-time linear canonical transform
Gao, Wen-Biao
Li, Bing-Zhao
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 321 - 338
[4] Theory and applications of short-time linear canonical transform
Wei, Deyun
Hu, Huimin
DIGITAL SIGNAL PROCESSING, 2021, 118
[5] Uncertainty Principle for the Short-time Special Affine Fourier Transform
Rui Li
Qingyue Zhang
Circuits, Systems, and Signal Processing, 2021, 40 : 4594 - 4613
[6] Uncertainty Principle for the Short-time Special Affine Fourier Transform
Li, Rui
Zhang, Qingyue
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2021, 40 (09) : 4594 - 4613
[7] Computation of the Short-Time Linear Canonical Transform with Dual Window
Huang, Lei
Zhang, Ke
Chai, Yi
Xu, Shuiqing
MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
[8] Uniqueness of phase retrieval with short-time linear canonical transform
Li, Rui
Zhang, Qingyue
ANALYSIS AND APPLICATIONS, 2024, 22 (07) : 1181 - 1193
[9] A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers
Knutsen, Helge
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2023, 62 : 365 - 389
[10] On Uncertainty Principle for Quaternionic Linear Canonical Transform
Kou, Kit Ian
Ou, Jian-Yu
Morais, Joao
ABSTRACT AND APPLIED ANALYSIS, 2013,

← 1 2 3 4 5 →