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Volumn 90, Issue 5, 2010, Pages 1631-1642

Parameter estimation for exponential sums by approximate Prony method

Author keywords

Approximate Prony method; Digital signal processing; ESPRIT method; Exponential sum; Matrix perturbation theory; Nonequispaced fast Fourier transform; Parameter estimation; Perturbed Hankel matrix; Spectral analysis problem; Vandermonde type matrix

Indexed keywords

APPROXIMATE PRONY METHOD; ESPRIT METHOD; EXPONENTIAL SUMS; HANKEL MATRIX; MATRIX; MATRIX PERTURBATION THEORY; NONEQUISPACED FAST FOURIER TRANSFORM; PRONY METHOD; SPECTRAL ANALYSIS;

EID: 75249088680     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2009.11.012     Document Type: Article
Times cited : (135)

References (22)
  • 1
    • 20144378897 scopus 로고    scopus 로고
    • On approximations of functions by exponential sums
    • Beylkin G., and Monzón L. On approximations of functions by exponential sums. Appl. Comput. Harmon. Anal. 19 (2005) 17-48
    • (2005) Appl. Comput. Harmon. Anal. , vol.19 , pp. 17-48
    • Beylkin, G.1    Monzón, L.2
  • 3
    • 26644472198 scopus 로고    scopus 로고
    • Exponential data fitting using multilinear algebra: the single-channel and multi-channel case
    • Papy J.M., De Lathauwer L., and Van Huffel S. Exponential data fitting using multilinear algebra: the single-channel and multi-channel case. Numer. Linear Algebra Appl. 12 (2005) 809-826
    • (2005) Numer. Linear Algebra Appl. , vol.12 , pp. 809-826
    • Papy, J.M.1    De Lathauwer, L.2    Van Huffel, S.3
  • 4
    • 53449084331 scopus 로고    scopus 로고
    • Numerical stability of nonequispaced fast Fourier transforms
    • Potts D., and Tasche M. Numerical stability of nonequispaced fast Fourier transforms. J. Comput. Appl. Math. 222 (2008) 655-674
    • (2008) J. Comput. Appl. Math. , vol.222 , pp. 655-674
    • Potts, D.1    Tasche, M.2
  • 5
    • 0003561344 scopus 로고
    • Digital spectral analysis with applications
    • Prentice Hall Inc, Englewood Cliffs
    • S.L. Marple Jr., Digital spectral analysis with applications, in: Prentice Hall Signal Processing Series, Prentice Hall Inc., Englewood Cliffs, 1987.
    • (1987) Prentice Hall Signal Processing Series
    • Marple Jr., S.L.1
  • 6
    • 0033293081 scopus 로고    scopus 로고
    • A stable numerical method for inverting shape from moments
    • Golub G.H., Milanfar P., and Varah J. A stable numerical method for inverting shape from moments. SIAM J. Sci. Comput. 21 (1999) 1222-1243
    • (1999) SIAM J. Sci. Comput. , vol.21 , pp. 1222-1243
    • Golub, G.H.1    Milanfar, P.2    Varah, J.3
  • 7
    • 34247887411 scopus 로고    scopus 로고
    • Sampling moments and reconstructing signals of finite rate of innovation: Shannon meets Strang-Fix
    • Dragotti P.L., Vetterli M., and Blu T. Sampling moments and reconstructing signals of finite rate of innovation: Shannon meets Strang-Fix. IEEE Trans. Signal Process. 55 (2007) 1741-1757
    • (2007) IEEE Trans. Signal Process. , vol.55 , pp. 1741-1757
    • Dragotti, P.L.1    Vetterli, M.2    Blu, T.3
  • 9
    • 0011937243 scopus 로고    scopus 로고
    • Fast Fourier transforms for nonequispaced data: a tutorial
    • Benedetto J.J., and Ferreira P.J.S.G. (Eds), Birkhäuser, Boston
    • Potts D., Steidl G., and Tasche M. Fast Fourier transforms for nonequispaced data: a tutorial. In: Benedetto J.J., and Ferreira P.J.S.G. (Eds). Modern Sampling Theory: Mathematics and Applications (2001), Birkhäuser, Boston 247-270
    • (2001) Modern Sampling Theory: Mathematics and Applications , pp. 247-270
    • Potts, D.1    Steidl, G.2    Tasche, M.3
  • 10
    • 75249106955 scopus 로고    scopus 로고
    • J. Keiner, S. Kunis, D. Potts, NFFT 3.0, C subroutine library 〈http://www.tu-chemnitz.de/potts/nfft〉, 2006.
    • J. Keiner, S. Kunis, D. Potts, NFFT 3.0, C subroutine library 〈http://www.tu-chemnitz.de/potts/nfft〉, 2006.
  • 11
    • 34547503017 scopus 로고    scopus 로고
    • Stability results for scattered data interpolation by trigonometric polynomials
    • Kunis S., and Potts D. Stability results for scattered data interpolation by trigonometric polynomials. SIAM J. Sci. Comput. 29 (2007) 1403-1419
    • (2007) SIAM J. Sci. Comput. , vol.29 , pp. 1403-1419
    • Kunis, S.1    Potts, D.2
  • 13
    • 0025431693 scopus 로고
    • Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
    • Hua Y., and Sarkar T.K. Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise. IEEE Trans. Acoust. Speech Signal Process. 38 (1990) 814-824
    • (1990) IEEE Trans. Acoust. Speech Signal Process. , vol.38 , pp. 814-824
    • Hua, Y.1    Sarkar, T.K.2
  • 14
    • 0029251640 scopus 로고
    • Using the matrix pencil method to estimate the parameters of a sum of complex exponentials
    • Sarkar T.K., and Pereira O. Using the matrix pencil method to estimate the parameters of a sum of complex exponentials. IEEE Antennas Propagation Mag. 37 (1995) 48-55
    • (1995) IEEE Antennas Propagation Mag. , vol.37 , pp. 48-55
    • Sarkar, T.K.1    Pereira, O.2
  • 15
    • 0024702515 scopus 로고
    • ESPRIT-estimation of signal parameters via rotational invariance techniques
    • Roy R., and Kailath T. ESPRIT-estimation of signal parameters via rotational invariance techniques. IEEE Trans. Acoust. Speech Signal Process. 37 (1989) 984-994
    • (1989) IEEE Trans. Acoust. Speech Signal Process. , vol.37 , pp. 984-994
    • Roy, R.1    Kailath, T.2
  • 16
    • 33847346137 scopus 로고
    • ESPRIT-estimation of signal parameters via rotational invariance techniques
    • Auslander L., Grünbaum F.A., Helton J.W., Kailath T., Khargoneka P., and Mitter S. (Eds), Springer, New York
    • Roy R., and Kailath T. ESPRIT-estimation of signal parameters via rotational invariance techniques. In: Auslander L., Grünbaum F.A., Helton J.W., Kailath T., Khargoneka P., and Mitter S. (Eds). Signal Processing, Part II: Control Theory and Applications (1990), Springer, New York 369-411
    • (1990) Signal Processing, Part II: Control Theory and Applications , pp. 369-411
    • Roy, R.1    Kailath, T.2
  • 18
    • 0030126771 scopus 로고    scopus 로고
    • Fast recursive low-rank linear prediction frequency estimation algorithms
    • Strobach P. Fast recursive low-rank linear prediction frequency estimation algorithms. IEEE Trans. Signal Process. 44 (1996) 834-847
    • (1996) IEEE Trans. Signal Process. , vol.44 , pp. 834-847
    • Strobach, P.1
  • 19
    • 0035120902 scopus 로고    scopus 로고
    • Total least squares phased averaging and 3-D ESPRIT for joint azimuth-elevation-carrier estimation
    • Strobach P. Total least squares phased averaging and 3-D ESPRIT for joint azimuth-elevation-carrier estimation. IEEE Trans. Signal Process. 59 (2001) 54-62
    • (2001) IEEE Trans. Signal Process. , vol.59 , pp. 54-62
    • Strobach, P.1
  • 21
    • 21344477905 scopus 로고
    • Application of Szego{combining double acute accent} polynomials to frequency analysis
    • Jones W.B., Njåstad O., and Waadeland H. Application of Szego{combining double acute accent} polynomials to frequency analysis. SIAM J. Math. Anal. 25 (1994) 491-512
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 491-512
    • Jones, W.B.1    Njåstad, O.2    Waadeland, H.3
  • 22
    • 23944501285 scopus 로고    scopus 로고
    • On local smoothness classes of periodic functions
    • Mhaskar H.N., and Prestin J. On local smoothness classes of periodic functions. J. Fourier Anal. Appl. 11 (2005) 353-373
    • (2005) J. Fourier Anal. Appl. , vol.11 , pp. 353-373
    • Mhaskar, H.N.1    Prestin, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.