Matching Demodulation Transform and SynchroSqueezing in Time-Frequency Analysis

被引：256

作者：

Wang, Shibin ^{[1
]}

Chen, Xuefeng ^{[1
]}

Cai, Gaigai ^{[1
]}

Chen, Binqiang ^{[1
]}

Li, Xiang ^{[1
]}

He, Zhengjia ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Xian 710049, Peoples R China

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2014年 / 62卷 / 01期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

Time-frequency analysis; instantaneous frequency estimation; demodulation; synchrosqueezing; POLYNOMIAL FOURIER-TRANSFORM; INSTANTANEOUS FREQUENCY; SIGNAL ANALYSIS; PERFORMANCE; DISTRIBUTIONS; REASSIGNMENT; SPECTRUM; GEARBOX;

D O I：

10.1109/TSP.2013.2276393

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 authors introduce an iterative algorithm, called matching demodulation transform (MDT), to generate a time-frequency (TF) representation with satisfactory energy concentration. As opposed to conventional TF analysis methods, this algorithm does not have to devise ad-hoc parametric TF dictionary. Assuming the FM law of a signal can be well characterized by a determined mathematical model with reasonable accuracy, the MDT algorithm can adopt a partial demodulation and stepwise refinement strategy for investigating TF properties of the signal. The practical implementation of the MDT involves an iterative procedure that gradually matches the true instantaneous frequency (IF) of the signal. Theoretical analysis of the MDT's performance is provided, including quantitative analysis of the IF estimation error and the convergence condition. Moreover, the MDT-based synchrosqueezing algorithm is described to further enhance the concentration and reduce the diffusion of the curved IF profile in the TF representation of original synchrosqueezing transform. The validity and practical utility of the proposed method are demonstrated by simulated as well as real signal.

引用

页码：69 / 84

页数：16

共 43 条

[1] IMPROVING THE READABILITY OF TIME-FREQUENCY AND TIME-SCALE REPRESENTATIONS BY THE REASSIGNMENT METHOD [J].

AUGER, F ;

FLANDRIN, P .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (05) :1068-1089

[2]

Baraniuk R, Bat echolocation chirp

[3] Measuring time-frequency information content using the Renyi entropies [J].

Baraniuk, RG ;

Flandrin, P ;

Janssen, AJEM ;

Michel, OJJ .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2001, 47 (04) :1391-1409

[4] Instantaneous frequency estimation of polynomial FM signals using the peak of the PWVD: Statistical performance in the presence of additive Gaussian noise [J].

Barkat, B ;

Boashash, B .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1999, 47 (09) :2480-2490

[5] Instantaneous frequency estimation of nonlinear frequency-modulated signals in the presence of multiplicative and additive noise [J].

Barkat, B .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (10) :2214-2222

[6] ESTIMATING AND INTERPRETING THE INSTANTANEOUS FREQUENCY OF A SIGNAL .2. ALGORITHMS AND APPLICATIONS [J].

BOASHASH, B .

PROCEEDINGS OF THE IEEE, 1992, 80 (04) :540-568

[7] ESTIMATING AND INTERPRETING THE INSTANTANEOUS FREQUENCY OF A SIGNAL .1. FUNDAMENTALS [J].

BOASHASH, B .

PROCEEDINGS OF THE IEEE, 1992, 80 (04) :520-538

[8] Fault feature extraction of gearbox by using overcomplete rational dilation discrete wavelet transform on signals measured from vibration sensors [J].

Chen, Binqiang ;

Zhang, Zhousuo ;

Sun, Chuang ;

Li, Bing ;

Zi, Yanyang ;

He, Zhengjia .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2012, 33 :275-298

[9]

Daubechies I., 1996, A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models, P527

[10] 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

← 1 2 3 4 5 →