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
相关论文
共 73 条
  • [1] [Anonymous], 2008, CIRCULARLY SYMMETRIC
  • [2] Auger F, 2012, INT CONF ACOUST SPEE, P3889, DOI 10.1109/ICASSP.2012.6288767
  • [3] 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
  • [4] A Review of Multitaper Spectral Analysis
    Babadi, Behtash
    Brown, Emery N.
    [J]. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2014, 61 (05) : 1555 - 1564
  • [5] Impact of ventilatory modes on the breathing variability in mechanically ventilated infants
    Baudin, Florent
    Wu, Hau-Tieng
    Bordessoule, Alice
    Beck, Jennifer
    Jouvet, Philippe
    Frasch, Martin G.
    Emeriaud, Guillaume
    [J]. FRONTIERS IN PEDIATRICS, 2014, 2
  • [6] Multiple window time-frequency and time-scale analysis
    Bayram, M
    Baraniuk, RG
    [J]. ADVANCED SIGNAL PROCESSING ALGORITHMS, ARCHITECTURES, AND IMPLEMENTATIONS VI, 1996, 2846 : 174 - 185
  • [7] Chassande-Mottin E, 2003, APPL NUM HARM ANAL, P233
  • [8] Non-parametric and adaptive modelling of dynamic periodicity and trend with heteroscedastic and dependent errors
    Chen, Yu-Chun
    Cheng, Ming-Yen
    Wu, Hau-Tieng
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2014, 76 (03) : 651 - 682
  • [9] Real-time dynamics acquisition from irregular samples - With application to anesthesia evaluation
    Chui, Charles K.
    Lin, Yu-Ting
    Wu, Hau-Tieng
    [J]. ANALYSIS AND APPLICATIONS, 2016, 14 (04) : 537 - 590
  • [10] Chui CK, 2016, APPL COMPUT HARMON A, V40, P97, DOI 10.1016/j.acha.2015.01.003
12345678