메뉴 건너뛰기




Volumn 56, Issue 12, 2013, Pages 2489-2506

Sparse time-frequency representation of nonlinear and nonstationary data

Author keywords

data driven; sparse representation; time frequency analysis

Indexed keywords


EID: 84893289207     PISSN: 16747283     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11425-013-4733-7     Document Type: Review
Times cited : (18)

References (45)
  • 3
    • 59749104367 scopus 로고    scopus 로고
    • From sparse solutions of systems of equations to sparse modeling of signals and images
    • Bruckstein A M, Donoho D L, Elad M. From sparse solutions of systems of equations to sparse modeling of signals and images. SIAM Rev, 2009, 51: 34-81.
    • (2009) SIAM Rev , vol.51 , pp. 34-81
    • Bruckstein, A.M.1    Donoho, D.L.2    Elad, M.3
  • 4
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal recovery from highly incomplete frequency information
    • Candès E, Romberg J, Tao T. Robust uncertainty principles: Exact signal recovery from highly incomplete frequency information. IEEE Trans Inform Theory, 2006, 52: 489-509.
    • (2006) IEEE Trans Inform Theory , vol.52 , pp. 489-509
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 5
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • Candès E, Romberg J, Tao T. Stable signal recovery from incomplete and inaccurate measurements. Comm Pure Appl Math, 2006, 59: 1207-1223.
    • (2006) Comm Pure Appl Math , vol.59 , pp. 1207-1223
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 6
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • Candès E, Tao T. Decoding by linear programming. IEEE Trans Inform Theory, 2005, 51: 4203-4215.
    • (2005) IEEE Trans Inform Theory , vol.51 , pp. 4203-4215
    • Candès, E.1    Tao, T.2
  • 7
    • 33947416035 scopus 로고    scopus 로고
    • Near optimal signal recovery from random projections: Universal encoding strategies?
    • Candès E, Tao T. Near optimal signal recovery from random projections: Universal encoding strategies? IEEE Trans Inform Theory, 2006, 52: 5406-5425.
    • (2006) IEEE Trans Inform Theory , vol.52 , pp. 5406-5425
    • Candès, E.1    Tao, T.2
  • 9
    • 84976486021 scopus 로고    scopus 로고
    • Proximal splitting methods in signal processing
    • H. H. Bauschke, R. Burachik, and P. L. Combettes (Eds.), New York: Springer-Verlag
    • Combettes P L, Pesquet J C. Proximal splitting methods in signal processing. In: Bauschke H H, Burachik R, Combettes P L, et al., eds. Fixed-point Algorithms for Inverse Problems in Science and Engineering. New York: Springer-Verlag, 2010, 185-212.
    • (2010) Fixed-Point Algorithms for Inverse Problems in Science and Engineering , pp. 185-212
    • Combettes, P.L.1    Pesquet, J.C.2
  • 10
    • 84893251319 scopus 로고
    • CBMS-NSF Regional Conference Series on Applied Mathematics, Philadelphia: SIAM
    • Daubechies I. Ten Lectures on Wavelets. CBMS-NSF Regional Conference Series on Applied Mathematics, vol. 61. Philadelphia: SIAM, 1992.
    • (1992) Ten Lectures on Wavelets , vol.61
    • Daubechies, I.1
  • 11
    • 78751584911 scopus 로고    scopus 로고
    • Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool
    • Daubechies I, Lu J, Wu H. Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool. Appl Comp Harmon Anal, 2011 30: 243-261.
    • (2011) Appl Comp Harmon Anal , vol.30 , pp. 243-261
    • Daubechies, I.1    Lu, J.2    Wu, H.3
  • 14
    • 0000293183 scopus 로고
    • Theory of communication
    • Gabor D. Theory of communication. J Inst Elect Eng, 1946, 93: 429-457.
    • (1946) J Inst Elect Eng , vol.93 , pp. 429-457
    • Gabor, D.1
  • 16
    • 0347968052 scopus 로고    scopus 로고
    • Sparse representations in unions of bases
    • Gribonval R, Nielsen M. Sparse representations in unions of bases. IEEE Trans Inform Theory, 2003, 49: 3320-3325.
    • (2003) IEEE Trans Inform Theory , vol.49 , pp. 3320-3325
    • Gribonval, R.1    Nielsen, M.2
  • 18
    • 80052641966 scopus 로고    scopus 로고
    • Adaptive data analysis via sparse time-frequency representation
    • Hou T Y, Shi Z. Adaptive data analysis via sparse time-frequency representation. Adv Adapt Data Anal, 2011, 3: 1-28.
    • (2011) Adv Adapt Data Anal , vol.3 , pp. 1-28
    • Hou, T.Y.1    Shi, Z.2
  • 19
    • 84878591286 scopus 로고    scopus 로고
    • Data-drive time-frequency analysis
    • Hou T Y, Shi Z. Data-drive time-frequency analysis. Appl Comput Harmon Anal, 2013, 35: 284-308.
    • (2013) Appl Comput Harmon Anal , vol.35 , pp. 284-308
    • Hou, T.Y.1    Shi, Z.2
  • 21
    • 84878591286 scopus 로고    scopus 로고
    • Convergence of a data-driven time-frequency analysis method
    • Hou T Y, Shi Z, Tavallali P. Convergence of a data-driven time-frequency analysis method. Appl Comput Harmon Anal, submitted, 2013.
    • (2013) Appl Comput Harmon Anal
    • Hou, T.Y.1    Shi, Z.2    Tavallali, P.3
  • 22
    • 5444236478 scopus 로고    scopus 로고
    • The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
    • Huang N E, Shen Z, Long S R, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc R Soc Lond Ser A Math Phys Eng Sci, 1998, 454: 903-995.
    • (1998) Proc R Soc Lond Ser A Math Phys Eng Sci , vol.454 , pp. 903-995
    • Huang, N.E.1    Shen, Z.2    Long, S.R.3
  • 23
    • 0025599788 scopus 로고
    • A high resolution data-adaptive time-frequency representation
    • Jomes D L, Parks T W. A high resolution data-adaptive time-frequency representation. IEEE Trans Acoust Speech Signal Process, 1990, 38: 2127-2135.
    • (1990) IEEE Trans Acoust Speech Signal Process , vol.38 , pp. 2127-2135
    • Jomes, D.L.1    Parks, T.W.2
  • 24
    • 0030248552 scopus 로고    scopus 로고
    • On the amplitude- and frequency-modulation decomposition of signals
    • Loughlin P J, Tracer B. On the amplitude- and frequency-modulation decomposition of signals. J Acoust Soc Amer, 1996, 100: 1594-1601.
    • (1996) J Acoust Soc Amer , vol.100 , pp. 1594-1601
    • Loughlin, P.J.1    Tracer, B.2
  • 25
    • 0027558960 scopus 로고
    • The relationship between instantaneous frequency and time-frequency representations
    • Lovell B C, Williamson R C, Boashash B. The relationship between instantaneous frequency and time-frequency representations. IEEE Trans Signal Process, 1993, 41: 1458-1461.
    • (1993) IEEE Trans Signal Process , vol.41 , pp. 1458-1461
    • Lovell, B.C.1    Williamson, R.C.2    Boashash, B.3
  • 27
    • 0027842081 scopus 로고
    • Matching pursuit with time-frequency dictionaries
    • Mallat S, Zhang Z. Matching pursuit with time-frequency dictionaries. IEEE Trans Signal Process, 1993, 41: 3397-3415.
    • (1993) IEEE Trans Signal Process , vol.41 , pp. 3397-3415
    • Mallat, S.1    Zhang, Z.2
  • 28
    • 0020717316 scopus 로고
    • Wave modulation and breakdown
    • Meville W K. Wave modulation and breakdown. J Fluid Mech, 1983, 128: 489-506.
    • (1983) J Fluid Mech , vol.128 , pp. 489-506
    • Meville, W.K.1
  • 29
    • 62749175137 scopus 로고    scopus 로고
    • CoSaMP: Iterative signal recovery from noisy samples
    • Needell D, Tropp J. CoSaMP: Iterative signal recovery from noisy samples. Appl Comput Harmon Anal, 2008, 26: 301-321.
    • (2008) Appl Comput Harmon Anal , vol.26 , pp. 301-321
    • Needell, D.1    Tropp, J.2
  • 30
    • 64749092799 scopus 로고    scopus 로고
    • Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit
    • Needell D, Vershynin R. Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit. J Found Comput Math, 2009, 9: 317-334.
    • (2009) J Found Comput Math , vol.9 , pp. 317-334
    • Needell, D.1    Vershynin, R.2
  • 32
    • 84893268686 scopus 로고    scopus 로고
    • Systems science and a novel insight into cardiovascular physiology
    • Pahlevan N M, Tavallali P, Petrasek D, et al. Systems science and a novel insight into cardiovascular physiology. Science, submitted, 2013.
    • (2013) Science
    • Pahlevan, N.M.1    Tavallali, P.2    Petrasek, D.3
  • 33
    • 84855956688 scopus 로고    scopus 로고
    • A parallel inertial proximal optimization method
    • Pesquet J C, Pustelnik N. A parallel inertial proximal optimization method. Pacific J Optim, 2012, 8: 273-305.
    • (2012) Pacific J Optim , vol.8 , pp. 273-305
    • Pesquet, J.C.1    Pustelnik, N.2
  • 34
    • 0031096443 scopus 로고    scopus 로고
    • On instantaneous amplitude and phase signals
    • Picinbono B. On instantaneous amplitude and phase signals. IEEE Trans Signal Process, 1997, 45: 552-560.
    • (1997) IEEE Trans Signal Process , vol.45 , pp. 552-560
    • Picinbono, B.1
  • 35
    • 0028392323 scopus 로고
    • Signal representation using adaptive normalized Gaussian functions
    • Qian S, Chen D. Signal representation using adaptive normalized Gaussian functions. Signal Processing, 1994, 36: 1-11.
    • (1994) Signal Processing , vol.36 , pp. 1-11
    • Qian, S.1    Chen, D.2
  • 37
    • 84939730902 scopus 로고
    • Mathematical analysis of random noise
    • Rice S O. Mathematical analysis of random noise. Bell Syst Tech J, 1944, 23: 282-310.
    • (1944) Bell Syst Tech J , vol.23 , pp. 282-310
    • Rice, S.O.1
  • 38
    • 77950043710 scopus 로고    scopus 로고
    • Deblurring Poissonian images by split Bregman techniques
    • Setzer S, Steidl G, Teuber T. Deblurring Poissonian images by split Bregman techniques. J Visual Commun Image Rep, 2010, 21: 193-199.
    • (2010) J Visual Commun Image Rep , vol.21 , pp. 193-199
    • Setzer, S.1    Steidl, G.2    Teuber, T.3
  • 39
    • 0000940377 scopus 로고
    • Instantaneous frequency
    • Shekel J. Instantaneous frequency. Proc IRE, 1953, 41: 548-548.
    • (1953) Proc IRE , vol.41 , pp. 548
    • Shekel, J.1
  • 40
    • 84884703238 scopus 로고    scopus 로고
    • A decadal microwave record of tropical air temperature from AMSU-A/Aqua observations
    • Shi Y, Li K F, Yung Y L, et al. A decadal microwave record of tropical air temperature from AMSU-A/Aqua observations. Climate Dynamics, in press, 2013, doi: 10. 1007/s00382-013-1696-x.
    • (2013) Climate Dynamics
    • Shi, Y.1    Li, K.F.2    Yung, Y.L.3
  • 41
    • 64649083745 scopus 로고    scopus 로고
    • Signal recovery from random measurements via orthogonal matching pursuit
    • Tropp J, Gilbert A. Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans Inform Theory, 2007, 53: 4655-4666.
    • (2007) IEEE Trans Inform Theory , vol.53 , pp. 4655-4666
    • Tropp, J.1    Gilbert, A.2
  • 42
    • 0011893925 scopus 로고
    • The fundamental principles of frequency modulation
    • van der Pol B. The fundamental principles of frequency modulation. Proc Inst Elect Eng, 1946, 93: 153-158.
    • (1946) Proc Inst Elect Eng , vol.93 , pp. 153-158
    • van der Pol, B.1
  • 43
    • 84878555758 scopus 로고    scopus 로고
    • Instantaneous frequency and wave shape functions (I)
    • Wu H T. Instantaneous frequency and wave shape functions (I). Appl Comput Harmon Anal, 2012, in press, doi: 10. 1016/j. acha. 2012. 08. 008.
    • (2012) Appl Comput Harmon Anal
    • Wu, H.T.1
  • 44
    • 80052078099 scopus 로고    scopus 로고
    • Ensemble Empirical Mode Decomposition: A noise-assisted data analysis method
    • Wu Z, Huang N E. Ensemble Empirical Mode Decomposition: A noise-assisted data analysis method. Adv Adapt Data Anal, 2009, 1: 1-41.
    • (2009) Adv Adapt Data Anal , vol.1 , pp. 1-41
    • Wu, Z.1    Huang, N.E.2
  • 45
    • 35448991660 scopus 로고    scopus 로고
    • Trend, detrend, and the variability of nonlinear and non-stationary time series
    • Wu Z, Huang N E, Long S R, et al. Trend, detrend, and the variability of nonlinear and non-stationary time series. Proc Natl Acad Sci USA, 2007, 104: 14889-14894.
    • (2007) Proc Natl Acad Sci USA , vol.104 , pp. 14889-14894
    • Wu, Z.1    Huang, N.E.2    Long, S.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.