ONE OR TWO FREQUENCIES? THE SYNCHROSQUEEZING ANSWERS

被引：82

作者：

Wu, Hau-Tieng ^{[1
]}

Flandrin, Patrick ^{[2
]}

Daubechies, Ingrid ^{[1
]}

机构：

[1] Princeton Univ, Math Dept, Washington Rd, Princeton, NJ 08544 USA

[2] Ecole Normale Super Lyon, Lab Phys, UMR 5672, CNRS, F-69364 Lyon 07, France

来源：

ADVANCES IN DATA SCIENCE AND ADAPTIVE ANALYSIS | 2011年 / 3卷 / 1-2期

关键词：

EMD; synchrosqueezing; time-frequency analysis; beating;

D O I：

10.1142/S179353691100074X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The synchrosqueezed transform was proposed recently in [Daubechies et al. (2009)] as an alternative to the empirical mode decomposition (EMD) [Huang et al. (1998)], to decompose composite signals into a sum of "modes" that each have well-defined instantaneous frequencies. This paper presents, for synchrosqueezing, a study similar to that in [Rilling and Flandrin (2008)] for EMD, of how two signals with close frequencies are recognized and represented as such.

引用

页码：29 / 39

页数：11

共 9 条

[1] IMPROVING THE READABILITY OF TIME-FREQUENCY AND TIME-SCALE REPRESENTATIONS BY THE REASSIGNMENT METHOD
AUGER, F
FLANDRIN, P
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (05) : 1068 - 1089
[2] Chassande-Mottin E, 2003, APPL NUM HARM ANAL, P233
[3] Differential reassignment
ChassandeMottin, E
Daubechies, I
Auger, F
Flandrin, P
[J]. IEEE SIGNAL PROCESSING LETTERS, 1997, 4 (10) : 293 - 294
[4] Daubechies I., 1996, WAVELETS MED BIOL, P527
[5] The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Huang, NE
Shen, Z
Long, SR
Wu, MLC
Shih, HH
Zheng, QN
Yen, NC
Tung, CC
Liu, HH
[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1971): : 903 - 995
[6] A review on Hilbert-Huang transform: method and its applications to geophysical studies
Huang, Norden E.
Wu, Zhaohua
[J]. REVIEWS OF GEOPHYSICS, 2008, 46 (02)
[7] ON INSTANTANEOUS FREQUENCY
Huang, Norden E.
Wu, Zhaohua
Long, Steven R.
Arnold, Kenneth C.
Chen, Xianyao
Blank, Karin
[J]. ADVANCES IN DATA SCIENCE AND ADAPTIVE ANALYSIS, 2009, 1 (02) : 177 - 229
[8] One or two frequencies? The empirical mode decomposition answers
Rilling, Gabriel
Flandrin, Patrick
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2008, 56 (01) : 85 - 95
[9] Wu H, 2009, SYNCHROSQUEEZED WAVE

← 1 →