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Volumn 55, Issue 6 II, 2007, Pages 2795-2809

Higher order tensor-based method for delayed exponential fitting

Author keywords

Conditional Cram r Rao bound (CCRB); Damped and delayed sinusoids; Higher order tensor; Rank reduction; Singular value decomposition (SVD); Subspace based parameter estimation

Indexed keywords

APPROXIMATION THEORY; CRAMER-RAO BOUNDS; PARAMETER ESTIMATION; POLES AND ZEROS; SIGNAL TO NOISE RATIO; SINGULAR VALUE DECOMPOSITION; TENSORS;

EID: 34249822505     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.893981     Document Type: Article
Times cited : (19)

References (40)
  • 1
    • 0001107873 scopus 로고
    • Improved algorithm for noniterative time-domain model fitting to exponentially damped magnetic resonance signals
    • H. Barkhuijsen, R. de Beer, and D. van Ormondt, "Improved algorithm for noniterative time-domain model fitting to exponentially damped magnetic resonance signals," J. Magn. Res., vol. 73, pp. 553-557, 1987.
    • (1987) J. Magn. Res , vol.73 , pp. 553-557
    • Barkhuijsen, H.1    de Beer, R.2    van Ormondt, D.3
  • 2
    • 2142653228 scopus 로고    scopus 로고
    • Audio modeling based on delayed sinusoids
    • Mar
    • R. Boyer and K. Abed-Meraim, "Audio modeling based on delayed sinusoids," IEEE Trans. Speech Audio Process., vol. 12, no. 2, pp. 110-120, Mar. 2004.
    • (2004) IEEE Trans. Speech Audio Process , vol.12 , Issue.2 , pp. 110-120
    • Boyer, R.1    Abed-Meraim, K.2
  • 3
    • 21644469816 scopus 로고    scopus 로고
    • R. Boyer and K. Abed-Meraim, Structured tensor based-algorithm for delayed exponential fitting, presented at the Asilomar Conf. Signals, Syst., Comput., Nov. 2004.
    • R. Boyer and K. Abed-Meraim, "Structured tensor based-algorithm for delayed exponential fitting," presented at the Asilomar Conf. Signals, Syst., Comput., Nov. 2004.
  • 4
    • 18844423025 scopus 로고    scopus 로고
    • Damped and delayed sinuosidal model for transient modeling
    • May
    • R. Boyer and K. Abed-Meraim, "Damped and delayed sinuosidal model for transient modeling," IEEE Trans. Signal Process., vol. 53, no. 5, pp. 1720-1730, May 2005.
    • (2005) IEEE Trans. Signal Process , vol.53 , Issue.5 , pp. 1720-1730
    • Boyer, R.1    Abed-Meraim, K.2
  • 6
    • 0000592482 scopus 로고
    • Analysis of individual differences in multidimensional scaling via an N-way generalization of 'Eckart-Young' decomposition
    • J. Carroll and J. Chang, "Analysis of individual differences in multidimensional scaling via an N-way generalization of 'Eckart-Young' decomposition," Psychometrika, vol. 9, pp. 267-283, 1970.
    • (1970) Psychometrika , vol.9 , pp. 267-283
    • Carroll, J.1    Chang, J.2
  • 7
    • 0000384818 scopus 로고    scopus 로고
    • Parameter estimation with prior knowledge of known signal poles for the quantification of NMR spectroscopy data in the time domain
    • Apr
    • H. Chen, S. Van Huffel, D. van Ormondt, and R. de Beer, "Parameter estimation with prior knowledge of known signal poles for the quantification of NMR spectroscopy data in the time domain," J. Magn. Res. A, vol. 119, no. 2, pp. 225-234, Apr. 1996.
    • (1996) J. Magn. Res. A , vol.119 , Issue.2 , pp. 225-234
    • Chen, H.1    Van Huffel, S.2    van Ormondt, D.3    de Beer, R.4
  • 8
    • 0025474239 scopus 로고
    • Tracking a few extreme singular values and vectors in signal processing
    • Aug
    • P. Comon and G. H. Golub, "Tracking a few extreme singular values and vectors in signal processing," Proc. IEEE, vol. 78, no. 8, pp. 1327-1343, Aug. 1990.
    • (1990) Proc. IEEE , vol.78 , Issue.8 , pp. 1327-1343
    • Comon, P.1    Golub, G.H.2
  • 9
  • 12
    • 2642555525 scopus 로고    scopus 로고
    • 3) approximation in multilinear algebra
    • 3) approximation in multilinear algebra," J. Chemometr., 1, pp. 2-11, 2004.
    • (2004) J. Chemometr , vol.1 , pp. 2-11
    • De Lathauwer, L.1
  • 14
    • 17444379662 scopus 로고    scopus 로고
    • Computation of the canonical decomposition by means of simultaneous generalized Schur decomposition
    • L. De Lathauwer, B. De Moor, and J. Vandewalle, "Computation of the canonical decomposition by means of simultaneous generalized Schur decomposition," SIAM J. Matrix Anal. Appl., vol. 26, pp. 295-327, 2004.
    • (2004) SIAM J. Matrix Anal. Appl , vol.26 , pp. 295-327
    • De Lathauwer, L.1    De Moor, B.2    Vandewalle, J.3
  • 15
    • 0027543117 scopus 로고
    • Real-time estimation of the parameters of power system small signal oscillations
    • Feb
    • R. Doraiswami and W. Liu, "Real-time estimation of the parameters of power system small signal oscillations," IEEE Trans. Power Syst., vol. 8, no. 1, pp. 74-83, Feb. 1993.
    • (1993) IEEE Trans. Power Syst , vol.8 , Issue.1 , pp. 74-83
    • Doraiswami, R.1    Liu, W.2
  • 16
    • 0019583611 scopus 로고
    • Adaptive estimation of time delays in sampled data systems
    • Jun
    • D. Etter and S. Stearns, "Adaptive estimation of time delays in sampled data systems," IEEE Trans. Signal Process., vol. 29, no. 3, pp. 582-587, Jun. 1981.
    • (1981) IEEE Trans. Signal Process , vol.29 , Issue.3 , pp. 582-587
    • Etter, D.1    Stearns, S.2
  • 17
  • 18
    • 0003962735 scopus 로고    scopus 로고
    • Adaptive signal models: Theory, algorithms, and audio applications,
    • Ph.D. dissertation, Univ. California, Berkeley
    • M. Goodwin, "Adaptive signal models: Theory, algorithms, and audio applications," Ph.D. dissertation, Univ. California, Berkeley, 1997.
    • (1997)
    • Goodwin, M.1
  • 20
    • 4544227744 scopus 로고    scopus 로고
    • A dynamic programming approach to audio segmentation and speech/music discrimination
    • presented at the, May
    • M. M. Goodwin and J. Laroche, "A dynamic programming approach to audio segmentation and speech/music discrimination," presented at the Int. Conf. Acoustics, Speech, and Signal Processing, May 2004.
    • (2004) Int. Conf. Acoustics, Speech, and Signal Processing
    • Goodwin, M.M.1    Laroche, J.2
  • 21
    • 0002740437 scopus 로고
    • Foundations of the PARAFAC procedure: Model and conditions for an 'explanatory' multi-mode factor analysis
    • R. A. Harshman, "Foundations of the PARAFAC procedure: Model and conditions for an 'explanatory' multi-mode factor analysis," UCLA Working Papers in Phonetics, vol. 16, pp. 1-84, 1970.
    • (1970) UCLA Working Papers in Phonetics , vol.16 , pp. 1-84
    • Harshman, R.A.1
  • 22
    • 0025431693 scopus 로고
    • Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
    • May
    • Y. Hua and T. K. Sarkar, "Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise," IEEE Trans. Acoustic, Speech, Signal Process., vol. 38, no. 5, pp. 814-824, May 1990.
    • (1990) IEEE Trans. Acoustic, Speech, Signal Process , vol.38 , Issue.5 , pp. 814-824
    • Hua, Y.1    Sarkar, T.K.2
  • 23
    • 0032166169 scopus 로고    scopus 로고
    • Subspace-based estimation of time delays and Doppler shifts
    • Sep
    • A. Jakobsson, A. L. Swindlehurst, and P. Stoica, "Subspace-based estimation of time delays and Doppler shifts," IEEE Trans. Signal Process., vol. 46, no. 9, pp. 2472-2483, Sep. 1998.
    • (1998) IEEE Trans. Signal Process , vol.46 , Issue.9 , pp. 2472-2483
    • Jakobsson, A.1    Swindlehurst, A.L.2    Stoica, P.3
  • 24
    • 0035446680 scopus 로고    scopus 로고
    • Almost sure identifiability of multidimensional harmonic retrieval
    • Sep
    • T. Jiang, N. D. Sidiropoulos, and J. M. F. ten Berge, "Almost sure identifiability of multidimensional harmonic retrieval," IEEE Trans. Signal Process., vol. 49, no. 9, pp. 1849-1859, Sep. 2001.
    • (2001) IEEE Trans. Signal Process , vol.49 , Issue.9 , pp. 1849-1859
    • Jiang, T.1    Sidiropoulos, N.D.2    ten Berge, J.M.F.3
  • 25
    • 34249819475 scopus 로고    scopus 로고
    • Audio subband coding with improved representation of transient signal segments
    • presented at the, Sep
    • J. Kliewer and A. Mertins, "Audio subband coding with improved representation of transient signal segments," presented at the Eur. Signal Processing Conf., Sep. 1998.
    • (1998) Eur. Signal Processing Conf
    • Kliewer, J.1    Mertins, A.2
  • 26
    • 0036018642 scopus 로고    scopus 로고
    • On the best rank-1 approximation of higher-order supersymmetric tensors
    • E. Kofidis and P. A. Regalia, "On the best rank-1 approximation of higher-order supersymmetric tensors," SIAM J. Matrix Anal. Appl., vol. 23, pp. 863-884, 2001.
    • (2001) SIAM J. Matrix Anal. Appl , vol.23 , pp. 863-884
    • Kofidis, E.1    Regalia, P.A.2
  • 27
    • 0348146419 scopus 로고    scopus 로고
    • A rank theorem for Vandermonde matrices
    • P. Koiran, "A rank theorem for Vandermonde matrices," Lin. Alg. Appl., vol. 378, pp. 99-107, 2004.
    • (2004) Lin. Alg. Appl , vol.378 , pp. 99-107
    • Koiran, P.1
  • 29
    • 0037401349 scopus 로고    scopus 로고
    • Decimative subspacebased parameter estimation techniques
    • G. Morren, P. Lemmerling, and S. Van Huffel, "Decimative subspacebased parameter estimation techniques," Signal Process., vol. 83, pp. 1025-1033, 2003.
    • (2003) Signal Process , vol.83 , pp. 1025-1033
    • Morren, G.1    Lemmerling, P.2    Van Huffel, S.3
  • 30
    • 26644472198 scopus 로고    scopus 로고
    • Exponential data fitting using multilinear algebra. The single-channel and multichannel case
    • Oct
    • J.-M. Papy, L. De Lathauwer, and S. Van Huffel, "Exponential data fitting using multilinear algebra. The single-channel and multichannel case," Numer. Lin. Alg. Appl., vol. 12, no. 8, pp. 809-826, Oct. 2005.
    • (2005) Numer. Lin. Alg. Appl , vol.12 , Issue.8 , pp. 809-826
    • Papy, J.-M.1    De Lathauwer, L.2    Van Huffel, S.3
  • 31
    • 85020158586 scopus 로고    scopus 로고
    • Exponential data fitting using multilinear algebra: The decimative case
    • Tech. Rep. 04-70, Elect. Eng. Dept, KU Leuven, Leuven, Belgium
    • J.-M. Papy, L. De Lathauwer, and S. Van Huffel, "Exponential data fitting using multilinear algebra: The decimative case," Tech. Rep. 04-70, Elect. Eng. Dept., KU Leuven, Leuven, Belgium, 2006.
    • (2006)
    • Papy, J.-M.1    De Lathauwer, L.2    Van Huffel, S.3
  • 32
    • 0033721592 scopus 로고    scopus 로고
    • The higher-order power method revisited: Convergence proofs and effective initialization
    • Jun
    • P. A. Regalia and E. Kofidis, "The higher-order power method revisited: Convergence proofs and effective initialization," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Process., Jun. 2000, vol. 5, pp. 2709-2712.
    • (2000) Proc. IEEE Int. Conf. Acoustics, Speech, Signal Process , vol.5 , pp. 2709-2712
    • Regalia, P.A.1    Kofidis, E.2
  • 33
    • 0024702515 scopus 로고
    • Esprit - Estimation of signal parameters via rotational invariance techniques
    • Jul
    • R. Roy and T. Kailath, "Esprit - Estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 7, pp. 984-995, Jul. 1989.
    • (1989) IEEE Trans. Acoust., Speech, Signal Process , vol.37 , Issue.7 , pp. 984-995
    • Roy, R.1    Kailath, T.2
  • 34
    • 0035333693 scopus 로고    scopus 로고
    • Generalizing Caratheodory's uniqueness of harmonic parameterization to N dimensions
    • May
    • N. D. Sidiropoulos, "Generalizing Caratheodory's uniqueness of harmonic parameterization to N dimensions," IEEE Trans. Inf. Theory, vol. 47, no. 4, pp. 1687-1690, May 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.4 , pp. 1687-1690
    • Sidiropoulos, N.D.1
  • 36
    • 0000666371 scopus 로고
    • The Extension of Factor Analysis to Three-Dimensional Matrices
    • H. Gulliksen and N. Frederiksen, Eds. New York: Holt, Rinehart & Winston
    • L. R. Tucker, "The Extension of Factor Analysis to Three-Dimensional Matrices," in Contributions to Mathematical Psychology, H. Gulliksen and N. Frederiksen, Eds. New York: Holt, Rinehart & Winston, 1964, pp. 109-127.
    • (1964) Contributions to Mathematical Psychology , pp. 109-127
    • Tucker, L.R.1
  • 37
    • 0013953617 scopus 로고
    • Some mathematical notes on three-mode factor analysis
    • L. R. Tucker, "Some mathematical notes on three-mode factor analysis," Psychometrika, vol. 31, pp. 279-311, 1966.
    • (1966) Psychometrika , vol.31 , pp. 279-311
    • Tucker, L.R.1
  • 38
    • 0027667114 scopus 로고
    • Enhanced resolution based on minimum variance estimation and exponential data modeling
    • S. Van Huffel, "Enhanced resolution based on minimum variance estimation and exponential data modeling," Signal Process., vol. 33, no. 3, pp. 333-355, 1993.
    • (1993) Signal Process , vol.33 , Issue.3 , pp. 333-355
    • Van Huffel, S.1
  • 39
    • 0348240221 scopus 로고
    • Algorithm for time-domain NMR data fitting based on total least squares
    • S. Van Huffel, C. Decanniere, H. Chen, and P. Van Hecke, "Algorithm for time-domain NMR data fitting based on total least squares," J. Magn. Res. A, vol. 110, pp. 228-237, 1994.
    • (1994) J. Magn. Res. A , vol.110 , pp. 228-237
    • Van Huffel, S.1    Decanniere, C.2    Chen, H.3    Van Hecke, P.4
  • 40
    • 0026140359 scopus 로고
    • Asymptotic Cramér-Rao bounds for estimation of the parameters of damped sine waves in noise
    • Apr
    • T. Wigren and A. Nehorai, "Asymptotic Cramér-Rao bounds for estimation of the parameters of damped sine waves in noise," IEEE Trans. Signal Process., vol. 39, no. 4, pp. 1017-1020, Apr. 1991.
    • (1991) IEEE Trans. Signal Process , vol.39 , Issue.4 , pp. 1017-1020
    • Wigren, T.1    Nehorai, A.2


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