메뉴 건너뛰기




Volumn 54, Issue 4, 2006, Pages 1341-1350

High-resolution spectral analysis of mixtures of complex exponentials modulated by polynomials

Author keywords

ESPRIT; High resolution; Multiple eigenvalues; Polynomial modulation; Rotational invariance property

Indexed keywords

ALGORITHMS; AMPLITUDE MODULATION; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; FOURIER TRANSFORMS; FREQUENCY MODULATION; POLYNOMIALS; SPECTRUM ANALYSIS; SPURIOUS SIGNAL NOISE;

EID: 33645308277     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.870556     Document Type: Article
Times cited : (58)

References (37)
  • 1
    • 0001799628 scopus 로고
    • "Essai experimental et analytique: Sur les lois de la dilatabilité de fluides élastiques et sur celles de la force expansive de la vapeur de l'eau et de la vapeur de l'alcool à différentes températures"
    • in French
    • G. M. Riche de Prony, "Essai experimental et analytique: Sur les lois de la dilatabilité de fluides élastiques et sur celles de la force expansive de la vapeur de l'eau et de la vapeur de l'alcool à différentes températures," J. l'École Polytechnique, vol. 1, no. 22, pp. 24-76, 1795. in French.
    • (1795) J. L'École Polytechnique , vol.1 , Issue.22 , pp. 24-76
    • Riche de Prony, G.M.1
  • 2
    • 84984520202 scopus 로고
    • "The retrieval of harmonics from a covariance function"
    • V. F. Pisarenko, "The retrieval of harmonics from a covariance function," Geophys. J. R. Astron. Soc., vol. 33, pp. 347-366, 1973.
    • (1973) Geophys. J. R. Astron. Soc. , vol.33 , pp. 347-366
    • Pisarenko, V.F.1
  • 3
    • 0022683359 scopus 로고
    • "Multiple emitter location and signal parameter estimation"
    • Mar
    • R. O. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., vol. 34, no. 3, pp. 276-280, Mar. 1986.
    • (1986) IEEE Trans. Antennas Propag. , vol.34 , Issue.3 , pp. 276-280
    • Schmidt, R.O.1
  • 4
    • 0020498522 scopus 로고
    • "Improving the resolution performance of eigenstructure-based direction-finding algorithms"
    • Boston, MA
    • A. J. Barabell, "Improving the resolution performance of eigenstructure-based direction-finding algorithms," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), Boston, MA, 1983, pp. 336-339.
    • (1983) Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP) , pp. 336-339
    • Barabell, A.J.1
  • 5
    • 0001502401 scopus 로고
    • "State-space and singular value decomposition based approximation methods for harmonic retrieval problem"
    • Dec
    • S. Y. Kung, K. S. Arun, and D. B. Rao, "State-space and singular value decomposition based approximation methods for harmonic retrieval problem," J. Opt. Soc. Amer. A, Opt. Image Sci., vol. 73, pp. 1799-1811, Dec. 1983.
    • (1983) J. Opt. Soc. Amer. A, Opt. Image Sci. , vol.73 , pp. 1799-1811
    • Kung, S.Y.1    Arun, K.S.2    Rao, D.B.3
  • 6
    • 0022794413 scopus 로고
    • "ESPRIT - A subspace rotation approach to estimation of parameters of cisoids in noise"
    • Oct
    • R. Roy, A. Paulraj, and T. Kailath, "ESPRIT - A subspace rotation approach to estimation of parameters of cisoids in noise," IEEE Trans. Acoust., Speech, Signal Process., vol. 34, no. 5, pp. 1340-1342, Oct. 1986.
    • (1986) IEEE Trans. Acoust., Speech, Signal Process , vol.34 , Issue.5 , pp. 1340-1342
    • Roy, R.1    Paulraj, A.2    Kailath, T.3
  • 8
    • 0024679982 scopus 로고
    • "Sensor array signal processing via a Procrustes rotations based eigen-analysis of the ESPRIT data pencil"
    • Jun
    • M. Zoltawski and D. Stavrinides, "Sensor array signal processing via a Procrustes rotations based eigen-analysis of the ESPRIT data pencil," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 6, pp. 832-861, Jun. 1989.
    • (1989) IEEE Trans. Acoust., Speech, Signal Process , vol.37 , Issue.6 , pp. 832-861
    • Zoltawski, M.1    Stavrinides, D.2
  • 10
    • 2142812578 scopus 로고    scopus 로고
    • "A perceptual subspace approach for modeling of speech and audio signals with damped sinusoids"
    • Mar
    • J. Jensen, R. Heusdens, and S. H. Jensen, "A perceptual subspace approach for modeling of speech and audio signals with damped sinusoids," IEEE Trans. Speech Audio Process., vol. 12, no. 2, pp. 121-132, Mar. 2004.
    • (2004) IEEE Trans. Speech Audio Process , vol.12 , Issue.2 , pp. 121-132
    • Jensen, J.1    Heusdens, R.2    Jensen, S.H.3
  • 11
    • 9944265695 scopus 로고    scopus 로고
    • "Perceptual audio modeling with exponentially damped sinusoids"
    • Jan
    • K. Hermus, W. Verhelst, P. Lemmerling, P. Wambacq, and S. Van Huff'el, "Perceptual audio modeling with exponentially damped sinusoids," Signal Process., vol. 85, no. 1, pp. 163-176, Jan. 2005.
    • (2005) Signal Process , vol.85 , Issue.1 , pp. 163-176
    • Hermus, K.1    Verhelst, W.2    Lemmerling, P.3    Wambacq, P.4    Van Huff'el, S.5
  • 12
    • 0020267981 scopus 로고
    • "Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise"
    • Dec
    • R. Kumaresan and D. W. Tufts, "Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise," IEEE Trans. Acoust., Speech, Signal Process., vol. 30, no. 6, pp. 833-840, Dec. 1982.
    • (1982) IEEE Trans. Acoust., Speech, Signal Process , vol.30 , Issue.6 , pp. 833-840
    • Kumaresan, R.1    Tufts, D.W.2
  • 13
    • 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. Acoust., Speech, Signal Process., vol. 38, no. 5, pp. 814-824, May 1990.
    • (1990) IEEE Trans. Acoust. Speech, Signal Process , vol.38 , Issue.5 , pp. 814-824
    • Hua, Y.1    Sarkar, T.K.2
  • 14
    • 0031075386 scopus 로고    scopus 로고
    • "A parameter estimation scheme for damped sinusoidal signals based on low-rank Hankel approximation"
    • Feb
    • Y. Li, K. Liu, and J. Razavilar, "A parameter estimation scheme for damped sinusoidal signals based on low-rank Hankel approximation," IEEE Trans. Signal Process., vol. 45, no. 2, pp. 481-486, Feb. 1997.
    • (1997) IEEE Trans. Signal Process , vol.45 , Issue.2 , pp. 481-486
    • Li, Y.1    Liu, K.2    Razavilar, J.3
  • 15
    • 0027665717 scopus 로고
    • "Subspace based signal analysis using singular value decomposition"
    • Sep
    • A.-J. Van der Veen, E. F. Deprettere, and A. L. Swindlehurst, "Subspace based signal analysis using singular value decomposition," Proc. IEEE, vol. 81, no. 9, pp. 1277-1308, Sep. 1993.
    • (1993) Proc. IEEE , vol.81 , Issue.9 , pp. 1277-1308
    • Van der Veen, A.-J.1    Deprettere, E.F.2    Swindlehurst, A.L.3
  • 18
    • 0003903994 scopus 로고
    • New York: Academic, sec. 1.2: The Lower Factorial Polynomial
    • S. Roman, The Umbral Calculus. New York: Academic, 1984, sec. 1.2: The Lower Factorial Polynomial.
    • (1984) The Umbral Calculus
    • Roman, S.1
  • 20
    • 33645286592 scopus 로고    scopus 로고
    • "High resolution methods for estimating and tracking modulated sinusoids. Application to music signals"
    • Ph.D. dissertation, Dept. Traitement du Signal et des Images, École Nationale Supérieure des Télécommunications, Paris, France, Apr. in French
    • R. Badeau, "High resolution methods for estimating and tracking modulated sinusoids. application to music signals," Ph.D. dissertation, Dept. Traitement du Signal et des Images, École Nationale Supérieure des Télécommunications, Paris, France, Apr. 2005. in French.
    • (2005)
    • Badeau, R.1
  • 24
    • 0003640472 scopus 로고    scopus 로고
    • "A fast exponential decomposition algorithm and its applications to structured matrices"
    • Ph.D. dissertation, Dept. of Computer Science, Rensselaer Polytechnic Inst., Troy, NY
    • D. Vandevoorde, "A fast exponential decomposition algorithm and its applications to structured matrices," Ph.D. dissertation, Dept. of Computer Science, Rensselaer Polytechnic Inst., Troy, NY, 1996.
    • (1996)
    • Vandevoorde, D.1
  • 25
    • 0346342543 scopus 로고    scopus 로고
    • "Sliding window adaptive SVD algorithms"
    • Jan
    • R. Badeau, G. Richard, and B. David, "Sliding window adaptive SVD algorithms," IEEE Trans. Signal Process., vol. 52, no. 1, pp. 1-10, Jan. 2004.
    • (2004) IEEE Trans. Signal Process , vol.52 , Issue.1 , pp. 1-10
    • Badeau, R.1    Richard, G.2    David, B.3
  • 27
    • 85008045230 scopus 로고    scopus 로고
    • "Fast approximated power iteration subspace tracking"
    • Aug
    • R. Badeau, B. David, and G. Richard, "Fast approximated power iteration subspace tracking," IEEE Trans. Signal Process., vol. 53, no. 8, pp. 2931-2941, Aug. 2005.
    • (2005) IEEE Trans. Signal Process , vol.53 , Issue.8 , pp. 2931-2941
    • Badeau, R.1    David, B.2    Richard, G.3
  • 28
    • 0020833661 scopus 로고
    • "Optimality of high-resolution array processing using the eigensystem method"
    • Oct
    • G. Bienvenu and L. Kopp, "Optimality of high-resolution array processing using the eigensystem method," IEEE Trans. Acoust., Speech, Signal Process., vol. 31, no. 5, pp. 1235-1245, Oct. 1983.
    • (1983) IEEE Trans. Acoust., Speech, Signal Process , vol.31 , Issue.5 , pp. 1235-1245
    • Bienvenu, G.1    Kopp, L.2
  • 29
    • 0021892197 scopus 로고
    • "Detection of signals by information theoretic criteria"
    • Apr
    • M. Wax and T. Kailath, "Detection of signals by information theoretic criteria," IEEE Trans. Acoust., Speech, Signal Process., vol. 33, no. 2, pp. 387-392, Apr. 1985.
    • (1985) IEEE Trans. Acoust., Speech, Signal Process , vol.33 , Issue.2 , pp. 387-392
    • Wax, M.1    Kailath, T.2
  • 30
    • 46149133538 scopus 로고
    • "On detection of the number of signals in presence of white noise"
    • L. C. Zhao, P. R. Krishnaiah, and Z. D. Bai, "On detection of the number of signals in presence of white noise," J. Multivariate Anal., vol. 20, no. 1, pp. 1-25, 1986.
    • (1986) J. Multivariate Anal. , vol.20 , Issue.1 , pp. 1-25
    • Zhao, L.C.1    Krishnaiah, P.R.2    Bai, Z.D.3
  • 31
    • 4644351192 scopus 로고    scopus 로고
    • "Selecting the modeling order for the ESPRIT high resolution method: An alternative approach"
    • Montreal, QC, Canada, May
    • R. Badeau, B. David, and G. Richard, "Selecting the modeling order for the ESPRIT high resolution method: An alternative approach," in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), vol. 2, Montreal, QC, Canada, May 2004, pp. 1025-1028.
    • (2004) Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP) , vol.2 , pp. 1025-1028
    • Badeau, R.1    David, B.2    Richard, G.3
  • 32
    • 31344462182 scopus 로고    scopus 로고
    • "A new perturbation analysis for signal enumeration in rotational invariance techniques"
    • Feb
    • R. Badeau, B. David, and G. Richard, "A new perturbation analysis for signal enumeration in rotational invariance techniques," IEEE Trans. Signal Process., vol. 54, no. 2, pp. 450-458, Feb. 2006.
    • (2006) IEEE Trans. Signal Process , vol.54 , Issue.2 , pp. 450-458
    • Badeau, R.1    David, B.2    Richard, G.3
  • 33
    • 0033878985 scopus 로고    scopus 로고
    • "Amplitude estimation of sinusoidal signals: Survey, new results, and an application"
    • P. Stoica, H. Li, and J. Li, "Amplitude estimation of sinusoidal signals: Survey, new results, and an application," IEEE Trans. Signal Process., vol. 48, no. 2, pp. 338-352, 2000.
    • (2000) IEEE Trans. Signal Process , vol.48 , Issue.2 , pp. 338-352
    • Stoica, P.1    Li, H.2    Li, J.3
  • 35
    • 14944343328 scopus 로고    scopus 로고
    • "Computing multiple roots of inexact polynomials"
    • Z. Zeng, "Computing multiple roots of inexact polynomials," AMS Math. Comp., vol. 74, no. 250, pp. 869-903, 2005.
    • (2005) AMS Math. Comp. , vol.74 , Issue.250 , pp. 869-903
    • Zeng, Z.1
  • 36
    • 0031497208 scopus 로고    scopus 로고
    • "On the Lidskii-Vishik-Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure"
    • Oct
    • J. Moro, J. V. Burke, and M. L. Overton, "On the Lidskii-Vishik-Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure," SIAM J. Matrix Anal. Appl., vol. 18, no. 4, pp. 793-817, Oct. 1997.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , Issue.4 , pp. 793-817
    • Moro, J.1    Burke, J.V.2    Overton, M.L.3
  • 37
    • 84863772450 scopus 로고
    • "Speech analysis and synthesis based on a sinusoidal representation"
    • Aug
    • R. J. McAulay and T. F. Quatieri, "Speech analysis and synthesis based on a sinusoidal representation," IEEE Trans. Acoust., Speech, Signal Process., vol. 34, no. 4, pp. 744-754, Aug. 1986.
    • (1986) IEEE Trans. Acoust., Speech, Signal Process , vol.34 , Issue.4 , pp. 744-754
    • McAulay, R.J.1    Quatieri, T.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.