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Volumn 37, Issue 1, 1995, Pages 48-55

Using the Matrix Pencil Method to Estimate the Parameters of a Sum of Complex Exponentials

Author keywords

[No Author keywords available]

Indexed keywords

ANTENNAS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; COMPUTER AIDED ANALYSIS; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC FIELD THEORY; FREQUENCY RESPONSE; MATHEMATICAL MODELS; MATRIX ALGEBRA; NATURAL FREQUENCIES; PARAMETER ESTIMATION; POLYNOMIALS;

EID: 0029251640     PISSN: 10459243     EISSN: None     Source Type: Journal    
DOI: 10.1109/74.370583     Document Type: Article
Times cited : (1059)

References (52)
  • 2
    • 0008328024 scopus 로고
    • Representation of transient scattered fields in terms of free oscillations of bodies
    • May
    • L. Marin and R. W. Latham, “Representation of transient scattered fields in terms of free oscillations of bodies,” Proceedings of the IEEE, 60, May 1972, pp. 640-641.
    • (1972) Proceedings of the IEEE , pp. 640-641
    • Marin, L.1    Latham, R.W.2
  • 3
    • 0015571772 scopus 로고
    • On the analysis of scattering and antenna problems using the singularity expansion technique
    • January
    • F. M. Tesche, “On the analysis of scattering and antenna problems using the singularity expansion technique,” IEEE Transactions on Antennas and Propagation, AP-21, 1, January 1973, pp. 53-62.
    • (1973) IEEE Transactions on Antennas and Propagation , pp. 53-62
    • Tesche, F.M.1
  • 7
    • 84946244844 scopus 로고
    • Transient identification and object classification
    • D. G. Dudley and D. M. Goodman, “Transient identification and object classification,” in E. K. Miller (ed.), Time-Domain Measurements in Electromagnetics, New York, Van Nostrand, 1986.
    • (1986) E. K. Miller (ed.)
    • Dudley, D.G.1    Goodman, D.M.2
  • 8
    • 0027554708 scopus 로고
    • Efficient computation of the periodic Green's function in Layered Dielectric Media
    • March
    • R. M. Shubair and Y. L. Chow, “Efficient computation of the periodic Green's function in Layered Dielectric Media,” IEEE Transactions on Microwave Theory & Techniques,” MTT-41, March 1993, pp. 498-502.
    • (1993) IEEE Transactions on Microwave Theory & Techniques , pp. 498-502
    • Shubair, R.M.1    Chow, Y.L.2
  • 9
    • 0026259637 scopus 로고
    • Using model based parameter estimation to increase the physical interpretability and numerical efficiency of computational electromagnetics
    • E. K. Miller and G. J. Burke, “Using model based parameter estimation to increase the physical interpretability and numerical efficiency of computational electromagnetics,” Computer Physics Communications, 68, 1991, pp. 43-75.
    • (1991) Computer Physics Communications , pp. 43-75
    • Miller, E.K.1    Burke, G.J.2
  • 11
    • 0028395704 scopus 로고
    • Frequency dependent characterization of radiation from an open end microstrip line
    • March
    • T. K. Sarkar, Z. Maricevic, M. Kahrizi, and A. R. Djordjevic, “Frequency dependent characterization of radiation from an open end microstrip line,” AEU, 48, 2, March 1994, pp. 101-107.
    • (1994) AEU , pp. 101-107
    • Sarkar, T.K.1    Maricevic, Z.2    Kahrizi, M.3    Djordjevic, A.R.4
  • 14
    • 0028424971 scopus 로고
    • An alternate interpretation of complex modes in closed perfectly conducting (lossless) structures
    • May
    • T. K. Sarkar and M. Salazar, “An alternate interpretation of complex modes in closed perfectly conducting (lossless) structures,” AEU, 48, May 1994, pp. 123-129.
    • (1994) AEU , pp. 123-129
    • Sarkar, T.K.1    Salazar, M.2
  • 15
    • 0026897236 scopus 로고
    • Parameter estimation of multiple transient signals
    • Y. Hua and T. K. Sarkar, “Parameter estimation of multiple transient signals,” Signal Processing, 28, 1992, pp. 109-115.
    • (1992) Signal Processing , pp. 109-115
    • Hua, Y.1    Sarkar, T.K.2
  • 17
    • 0028197876 scopus 로고
    • High resolution imaging of continuously moving object using stepped frequency radar
    • January
    • Y. Hua, “High resolution imaging of continuously moving object using stepped frequency radar,” Signal Processing, 35, 1, January 1994, pp. 33-40.
    • (1994) Signal Processing , pp. 33-40
    • Hua, Y.1
  • 18
    • 0023994403 scopus 로고
    • Matrix pencil approach to direction finding
    • April
    • H. Ouibrahim, D. D. Weiner, and T. K. Sarkar, “Matrix pencil approach to direction finding,” IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-36, April 1988, pp. 610-612.
    • (1988) IEEE Transactions on Acoustics , pp. 610-612
    • Ouibrahim, H.1    Weiner, D.D.2    Sarkar, T.K.3
  • 19
    • 84946244911 scopus 로고
    • Least squares systems parameter identification and time domain approximation
    • A. G. Evans, “Least squares systems parameter identification and time domain approximation,” Ph.D. thesis, Drexel University, 1972.
    • (1972) Ph.D. thesis
    • Evans, A.G.1
  • 20
    • 0017626193 scopus 로고
    • On simultaneous estimation of poles and zeros in speech analysis
    • June
    • K. Stieglitz, “On simultaneous estimation of poles and zeros in speech analysis,” IEEE Transactions Acoustics, Speech and Signal Processing, ASSP-25, June 1977, pp. 229-234.
    • (1977) IEEE Transactions Acoustics , pp. 229-234
    • Stieglitz, K.1
  • 21
    • 0023586669 scopus 로고
    • An output error model and algorithm for electromagnetic system identification
    • D. M. Goodman and D. G. Dudley, “An output error model and algorithm for electromagnetic system identification,” Circuits, Systems and Signal Processing, 6, 4, 1987, pp. 471-505.
    • (1987) Circuits , pp. 471-505
    • Goodman, D.M.1    Dudley, D.G.2
  • 22
    • 0021439919 scopus 로고
    • A discussion of various approaches to the linear system identification problem
    • June
    • T. K. Sarkar, S. A. Dianat, and D. D. Weiner, “A discussion of various approaches to the linear system identification problem,” IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-32, 3, June 1984, pp. 654-656.
    • (1984) IEEE Transactions on Acoustics , pp. 654-656
    • Sarkar, T.K.1    Dianat, S.A.2    Weiner, D.D.3
  • 24
    • 0007517320 scopus 로고
    • On techniques for estimating parameters of exponentially damped/undamped sinusoids in noise
    • August
    • Y. Hua, “On techniques for estimating parameters of exponentially damped/undamped sinusoids in noise,” PhD dissertation, Syracuse University, Syracuse, NY, August 1988.
    • (1988) PhD dissertation
    • Hua, Y.1
  • 25
    • 0023964820 scopus 로고
    • Perturbation analysis of TK method for harmonic retrieval problems
    • February
    • Y. Hua and T. K. Sarkar, “Perturbation analysis of TK method for harmonic retrieval problems,” IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-36, 2, February 1988, pp 228-240.
    • (1988) IEEE Transactions on Acoustics , pp. 228-240
    • Hua, Y.1    Sarkar, T.K.2
  • 26
    • 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 Transactions on Acoustics, Speech and Signal Processing, ASSP-38, 5, May 1990, pp. 814-824.
    • (1990) IEEE Transactions on Acoustics , pp. 814-824
    • Hua, Y.1    Sarkar, T.K.2
  • 27
    • 33846200797 scopus 로고    scopus 로고
    • Essai experimental et analytique
    • R. Prony, “Essai experimental et analytique,” Paris J. TEcola Polytechnique, 1, Calvier 2, 1795, pp. 24-76.
    • Paris J. TEcola Polytechnique , pp. 24-76
    • Prony, R.1
  • 29
    • 0016571083 scopus 로고
    • A technique for extracting the poles and residues of a system directly from its transient response
    • November
    • M. L. VanBlaricum and R. Mittra, “A technique for extracting the poles and residues of a system directly from its transient response,” IEEE Transactions on Antennas and Propagation,” AP-23, November 1975, pp. 777-781.
    • (1975) IEEE Transactions on Antennas and Propagation , pp. 777-781
    • VanBlaricum, M.L.1    Mittra, R.2
  • 30
    • 84939704971 scopus 로고
    • Problems and solutions associated with Prony's method for processing transient data
    • January
    • M. L. VanBlaricum and R. Mittra, “Problems and solutions associated with Prony's method for processing transient data,” IEEE Transactions on Antennas and Propagation,” AP-26, January 1978, pp. 174-182.
    • (1978) IEEE Transactions on Antennas and Propagation , pp. 174-182
    • VanBlaricum, M.L.1    Mittra, R.2
  • 31
    • 0020189061 scopus 로고
    • Frequency estimation of multiple sinusoids: making linear prediction perform like maximum likelihood
    • September
    • D. W. Tufts and R. Kumaresan, “Frequency estimation of multiple sinusoids: making linear prediction perform like maximum likelihood,” Proceedings of the IEEE, 70, September 1982, pp. 975-989.
    • (1982) Proceedings of the IEEE , pp. 975-989
    • Tufts, D.W.1    Kumaresan, R.2
  • 32
    • 0020267981 scopus 로고
    • Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise
    • December
    • R. Kumaresan and D. W. Tufts, “Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise,” IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-30, December 1982, pp. 833-840.
    • (1982) IEEE Transactions on Acoustics , pp. 833-840
    • Kumaresan, R.1    Tufts, D.W.2
  • 33
    • 0014841641 scopus 로고
    • Identification of linear systems through a Grammian technique
    • V. K. Jain and R. D. Gupta, “Identification of linear systems through a Grammian technique,” International Journal of Control, 12, 3, 1970, pp. 421-431.
    • (1970) International Journal of Control , pp. 421-431
    • Jain, V.K.1    Gupta, R.D.2
  • 35
    • 0016102054 scopus 로고
    • Filter analysis by use of pencil-of-functions: Part I
    • September
    • V. K. Jain, “Filter analysis by use of pencil-of-functions: Part I,” IEEE Transactions on Circuits and Systems, CAS-21, September 1974, pp. 574-579.
    • (1974) IEEE Transactions on Circuits and Systems , pp. 574-579
    • Jain, V.K.1
  • 36
    • 0016101461 scopus 로고
    • Filter analysis by use of pencil-of-functions: Part II
    • September
    • V. K. Jain, “Filter analysis by use of pencil-of-functions: Part II,” IEEE Transactions on Circuits and Systems, CAS-21, September 1974, p. 580-583.
    • (1974) IEEE Transactions on Circuits and Systems , pp. 580-583
    • Jain, V.K.1
  • 37
    • 77953524597 scopus 로고
    • Suboptimal approximation/identification of transient waveforms from electromagnetic systems by pencil-of-function method
    • February
    • T. K. Sarkar, J. N. Nebat, D. D. Weiner, and V. K. Jain, “Suboptimal approximation/identification of transient waveforms from electromagnetic systems by pencil-of-function method,” IEEE Transactions on Antennas and Propagation, AP-37, 2, February 19, 1979, pp. 229-234.
    • (1979) IEEE Transactions on Antennas and Propagation , pp. 229-234
    • Sarkar, T.K.1    Nebat, J.N.2    Weiner, D.D.3    Jain, V.K.4
  • 38
    • 0020767413 scopus 로고
    • Rational modeling by the pencil-of-functions method
    • June
    • V. K. Jain, T. K. Sarkar, and D D. Weiner, “Rational modeling by the pencil-of-functions method,” IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-31, June 1983, pp. 564-573.
    • (1983) IEEE Transactions on Acoustics , pp. 564-573
    • Jain, V.K.1    Sarkar, T.K.2    Weiner, D.D.3
  • 39
    • 0023329157 scopus 로고
    • An improved pencil-of-functions method and comparisons with traditional methods of pole extraction
    • April
    • J. A. Mackay and A. McCowen, “An improved pencil-of-functions method and comparisons with traditional methods of pole extraction,” IEEE Transactions Antennas and Propagation, AP-35, April 1987, pp. 435-441.
    • (1987) IEEE Transactions Antennas and Propagation , pp. 435-441
    • Mackay, J.A.1    McCowen, A.2
  • 40
    • 84939757940 scopus 로고
    • High performance signal modeling by pencil-of-function method
    • August
    • V. K. Jain and T. K. Sarkar, “High performance signal modeling by pencil-of-function method,” IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-34, August 1986, pp. 997-1000.
    • (1986) IEEE Transactions on Acoustics , pp. 997-1000
    • Jain, V.K.1    Sarkar, T.K.2
  • 41
    • 0022285754 scopus 로고
    • Multivariable system identification by pencil-of-functions method
    • December
    • V. K. Jain and T. K. Sarkar, “Multivariable system identification by pencil-of-functions method,” IEEE Transactions on Instruments and Measurements, IM-34, December 1985, pp. 550-557.
    • (1985) IEEE Transactions on Instruments and Measurements , pp. 550-557
    • Jain, V.K.1    Sarkar, T.K.2
  • 43
    • 0041405318 scopus 로고
    • A real time signal processing technique for approximating a function by a sum of complex exponentials utilizing the Matrix Pencil approach
    • April
    • T. K. Sarkar, F. Hu, Y. Hua, and M. Wicks, “A real time signal processing technique for approximating a function by a sum of complex exponentials utilizing the Matrix Pencil approach,” Signal Processing - A Review Journal, 4, 2, April 1994, pp. 127-140.
    • (1994) Signal Processing - A Review Journal , pp. 127-140
    • Sarkar, T.K.1    Hu, F.2    Hua, Y.3    Wicks, M.4
  • 44
    • 0024610916 scopus 로고
    • Generalized pencil-of-function method for extracting poles of an EM system from its transient response
    • February
    • Y Hua and T. K. Sarkar, “Generalized pencil-of-function method for extracting poles of an EM system from its transient response,” IEEE Transactions on Antennas and Propagation, AP-37, 2, February 1989, pp. 229-234.
    • (1989) IEEE Transactions on Antennas and Propagation , pp. 229-234
    • Hua, Y.1
  • 45
    • 0025505390 scopus 로고
    • Matrix pencil and system poles
    • October
    • Y. Hua and T. K. Sarkar, “Matrix pencil and system poles,” Signal Processing, 21,2, October 1990, pp. 195-198.
    • (1990) Signal Processing , pp. 195-198
    • Hua, Y.1    Sarkar, T.K.2
  • 46
    • 0026136926 scopus 로고
    • On SVD for estimating generalized eigenvalues of singular matrix pencil in noise
    • April
    • Y. Hua and T. K. Sarkar, “On SVD for estimating generalized eigenvalues of singular matrix pencil in noise,” IEEE Transactions on Signal Processing, SP-39, 4, April 1991, pp. 892-900.
    • (1991) IEEE Transactions on Signal Processing , pp. 892-900
    • Hua, Y.1    Sarkar, T.K.2
  • 47
    • 0025522140 scopus 로고
    • A perturbation property of the TLS-LP method
    • November
    • Y. Hua and T. K. Sarkar, “A perturbation property of the TLS-LP method,” IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-38, November 1990, pp. 2004-2005.
    • (1990) IEEE Transactions on Acoustics , pp. 2004-2005
    • Hua, Y.1    Sarkar, T.K.2
  • 48
    • 0025598794 scopus 로고
    • On the total least squares linear prediction method for frequency estimation
    • December
    • Y. Hua and T. K. Sarkar, “On the total least squares linear prediction method for frequency estimation,” IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-38, December 1990, pp. 2186-2189.
    • (1990) IEEE Transactions on Acoustics , pp. 2186-2189
    • Hua, Y.1    Sarkar, T.K.2
  • 50
    • 61349153247 scopus 로고
    • The band pass matrix pencil method for parameter estimation of exponentially damped/undamped sinusoidal signals in noise
    • Dec.
    • F. Hu, “The band pass matrix pencil method for parameter estimation of exponentially damped/undamped sinusoidal signals in noise,” Ph.D. Dissertation, Syracuse University, Syracuse, NY, Dec. 1990.
    • (1990) Ph.D. Dissertation
    • Hu, F.1
  • 51
    • 0027225016 scopus 로고
    • Utilization of bandpass filtering from the matrix pencil method
    • F. Hu, T. K. Sarkar, and Y. Hua, “Utilization of bandpass filtering from the matrix pencil method,” IEEE Transactions on Signal Processing, SP-41, l, Jan 1993, pp. 442-446.
    • (1993) IEEE Transactions on Signal Processing , pp. 442-446
    • Hu, F.1    Sarkar, T.K.2    Hua, Y.3
  • 52
    • 84906488675 scopus 로고
    • Application of the Matrix Pencil Approach to Direction Finding
    • May
    • B. Himed, “Application of the Matrix Pencil Approach to Direction Finding,” Ph D. Thesis, Syracuse University, May 1990.
    • (1990) Ph D. Thesis
    • Himed, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.