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论文摘要

Hilbert-Huang变换在线性正则域的新推广

New Hilbert-Huang transform associated with linear canonical transform

作者:刘禄波(四川大学数学学院; 电子信息控制重点实验室);罗懋康(四川大学数学学院);赖莉(四川大学数学学院)

Author:LIU Lu-Bo(College of Mathematics, Sichuan University; Key Laboratory of Elecrionic and Control);LUO Mao-Kang(College of Mathematics, Sichuan University);LAI Li(College of Mathematics, Sichuan University)

收稿日期:2016-04-05          年卷(期)页码:2016,53(5):980-982

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:Hilbert-Huang变换;经验模态分解;线性正则变换

Key words:Hilbert-Huang transform; Empirical mode decomposition; Linear canonical transform

基金项目:11401405 国家自然科学基金青年科学基金

中文摘要

Hilbert-Huang变换是一种重要的非平稳信号分析工具,其对信号的处理包含两个方面:(i)经验模态分解;(ii)Hilbert谱分析. 2012年,Li,Tao和Wang利用线性正域上的Hilbert变换将该变换推广到线性正则域,从而获得了一种更为灵活的信号分析工具. 本文给出了Hilbert-Huang变换在线性正则域的另一种推广.

英文摘要

Hilbert-Huang transform is an efficient non-stationary signal analysis tool. In its processing, two aspects are included: (i) empirical mode decomposition; (ii) Hilbert spectral analysis. In 2012, Li, Tao and Wang proposed a generalized Hilbert-Huang transform associated the linear canonical transform, so as to obtain a more flexible tool. In this paper, a new Hilbert-Huang transform associated with the linear canonical transform is proposed.

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