ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform

被引:124
作者
Daubechies, Ingrid [1 ]
Wang, Yi [2 ]
Wu, Hau-tieng [3 ]
机构
[1] Duke Univ, Dept Math, Box 90320, Durham, NC 27708 USA
[2] Syracuse Univ, Dept Math, 215 Carnegie Bldg, Syracuse, NY 13244 USA
[3] Univ Toronto, Dept Math, 40 St George St, Toronto, ON M5S 2E4, Canada
来源
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2016年 / 374卷 / 2065期
关键词
synchrosqueezing transform; reassignment method; multitaper; ConceFT; instantaneous frequency; EMPIRICAL MODE DECOMPOSITION; INSTANTANEOUS FREQUENCY; LOCALIZATION OPERATORS; SPECTRUM ESTIMATION; FAULT-DIAGNOSIS; REASSIGNMENT; SIGNALS; EXTRACTION; ALGORITHM; DYNAMICS;
D O I
10.1098/rsta.2015.0193
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
A new method is proposed to determine the time-frequency content of time-dependent signals consisting of multiple oscillatory components, with time-varying amplitudes and instantaneous frequencies. Numerical experiments as well as a theoretical analysis are presented to assess its effectiveness.
引用
收藏
页数:19
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共 73 条
  • [51] Thakur G., 2015, Applied and Numerical Harmonic Analysis, V4, P397
  • [52] The Synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications
    Thakur, Gaurav
    Brevdo, Eugene
    Fuckar, Neven S.
    Wu, Hau-Tieng
    [J]. SIGNAL PROCESSING, 2013, 93 (05) : 1079 - 1094
  • [53] SYNCHROSQUEEZING-BASED RECOVERY OF INSTANTANEOUS FREQUENCY FROM NONUNIFORM SAMPLES
    Thakur, Gaurav
    Wu, Hau-Tieng
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2011, 43 (05) : 2078 - 2095
  • [54] SPECTRUM ESTIMATION AND HARMONIC-ANALYSIS
    THOMSON, DJ
    [J]. PROCEEDINGS OF THE IEEE, 1982, 70 (09) : 1055 - 1096
  • [55] Non-Parametric Estimation of Intraday Spot Volatility: Disentangling Instantaneous Trend and Seasonality
    Vatter, Thibault
    Wu, Hau-Tieng
    Chavez-Demoulin, Valerie
    Yu, Bin
    [J]. ECONOMETRICS, 2015, 3 (04): : 864 - 887
  • [56] Time-Frequency Analysis of Seismic Data Using Synchrosqueezing Transform
    Wang, Ping
    Gao, Jinghuai
    Wang, Zhiguo
    [J]. IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, 2014, 11 (12) : 2042 - 2044
  • [57] Neurophysiological and Computational Principles of Cortical Rhythms in Cognition
    Wang, Xiao-Jing
    [J]. PHYSIOLOGICAL REVIEWS, 2010, 90 (03) : 1195 - 1268
  • [58] Assess Sleep Stage by Modern Signal Processing Techniques
    Wu, Hau-tieng
    Talmon, Ronen
    Lo, Yu-Lun
    [J]. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2015, 62 (04) : 1159 - 1168
  • [59] Evaluating Physiological Dynamics via Synchrosqueezing: Prediction of Ventilator Weaning
    Wu, Hau-Tieng
    Hseu, Shu-Shua
    Bien, Mauo-Ying
    Kou, Yu Ru
    Daubechies, Ingrid
    [J]. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2014, 61 (03) : 736 - 744
  • [60] Using synchrosqueezing transform to discover breathing dynamics from ECG signals
    Wu, Hau-Tieng
    Chan, Yi-Hsin
    Lin, Yu-Ting
    Yeh, Yung-Hsin
    [J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2014, 36 (02) : 354 - 359