A synchrosqueezed wavelet transform enhanced by extended analytical mode decomposition method for dynamic signal reconstruction

被引：47

作者：

Wang, Zuo-Cai ^{[1
]}

Ren, Wei-Xin ^{[1
]}

Liu, Jing-Liang ^{[2
]}

机构：

[1] Hefei Univ Technol, Dept Civil Engn, Hefei 230009, Anhui, Peoples R China

[2] Cent South Univ, Dept Civil Engn, Changsha 410075, Hunan, Peoples R China

来源：

JOURNAL OF SOUND AND VIBRATION | 2013年 / 332卷 / 22期

关键词：

INSTANTANEOUS FREQUENCY; TIME; IDENTIFICATION;

D O I：

10.1016/j.jsv.2013.04.026

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A synchrosqueezed wavelet transform combined by wavelet analysis and time-frequency reallocation method was recently developed to improve the quality of time-frequency representation and construct the components of a signal. However, the quality of this transform highly depends on the parameters of wavelet functions. To overcome the effects of wavelet function parameters on signal decomposition, an analytical mode decomposition method was proposed to reconstruct each component. The analytical mode decomposition selects the bisecting frequency between any two adjacent instantaneous frequencies estimated from a preliminary synchrosqueezed wavelet analysis and analytically extracts the individual components from a signal between any two bisecting frequencies. Two examples including a frequency modulated amplitude decayed signal, and seismic responses of a two-story building are analyzed. It is demonstrated that the analytically derived components are insensitive to the selection parameters of wavelet function and bisecting frequency. The proposed method is superior to the synchrosqueezed wavelet transform method for dynamic signal reconstruction. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：6016 / 6028

页数：13

共 30 条

[1]

[Anonymous], P 6 INT C STRUCT SAF

[2]

[Anonymous], 2005, HILBERT HUANG TRANSF, DOI DOI 10.1201/9781420027532

[3]

Bedrosian E., 1962, RM3439PR RAND US AIR

[4] Decomposition of non-stationary signals into varying time scales: Some aspects of the EMD and HVD methods [J].

Braun, S. ;

Feldman, M. .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2011, 25 (07) :2608-2630

[5] Response to the Letter to Editor by Dr. M. Feldman Entitled "A Signal Decomposition or Lowpass Filtering with Hilbert Transform" [J].

Chen, G. D. ;

Wang, Z. C. .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2011, 25 (08) :3204-3204

[6] A signal decomposition theorem with Hilbert transform and its application to narrowband time series with closely spaced frequency components [J].

Chen, Genda ;

Wang, Zuocai .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2012, 28 :258-279

[7] Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool [J].

Daubechies, Ingrid ;

Lu, Jianfeng ;

Wu, Hau-Tieng .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2011, 30 (02) :243-261

[8] Time-varying vibration decomposition and analysis based on the Hilbert transform [J].

Feldman, Michael .

JOURNAL OF SOUND AND VIBRATION, 2006, 295 (3-5) :518-530

[9] A wavelet-based approach for the identification of linear time-varying dynamical systems [J].

Ghanem, R ;

Romeo, F .

JOURNAL OF SOUND AND VIBRATION, 2000, 234 (04) :555-576

[10]

Hera A., 2005, P 23 INT MOD AN C IM, P338

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