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Volumn 28, Issue 2, 2012, Pages

Algebraic reconstruction of the general-order poles of a meromorphic function

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC RECONSTRUCTION; INITIAL SOLUTION; INVERSE SOURCE PROBLEM; ITERATIVE ALGORITHM; MEROMORPHIC FUNCTION; POTENTIAL ANALYSIS; UNIT CIRCLES;

EID: 84856897814     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/28/2/025008     Document Type: Article
Times cited : (7)

References (38)
  • 1
    • 13244289977 scopus 로고    scopus 로고
    • A new simultaneous estimation of directions of arrival and channel parameters in a multipath environment
    • DOI 10.1109/TSP.2004.840673
    • Amindavar H and Reza A M 2005 A new simultaneous estimation of directions of arrival and channel parameters in a multipath environment IEEE Trans. Signal Process. 53 47183 (Pubitemid 40181744)
    • (2005) IEEE Transactions on Signal Processing , vol.53 , Issue.2 , pp. 471-483
    • Amindavar, H.1    Reza, A.M.2
  • 3
    • 33645308277 scopus 로고    scopus 로고
    • High-resolution spectral analysis of mixtures of complex exponentials modulated by polynomials
    • Badeau R, David B and Richard G 2006 High-resolution spectral analysis of mixtures of complex exponentials modulated by polynomials IEEE Trans. Signal Process. 54 134150
    • (2006) IEEE Trans. Signal Process. , vol.54 , Issue.4 , pp. 1341-1350
    • Badeau, R.1    David, B.2    Richard, G.3
  • 4
    • 48849098528 scopus 로고    scopus 로고
    • CramrRao bounds for multiple poles and coefficients of quasi-polynomials in colored noise
    • Badeau R, David B and Richard G 2008 CramrRao bounds for multiple poles and coefficients of quasi-polynomials in colored noise IEEE Trans. Signal Process. 56 345867
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.8 , pp. 3458-3467
    • Badeau, R.1    David, B.2    Richard, G.3
  • 5
    • 0001862962 scopus 로고    scopus 로고
    • How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian?
    • PII S0266561199963463
    • Baratchart L, Leblond J, Mandrea F and Saff E B 1999 How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian? Inverse Problems 15 7990 (Pubitemid 129709830)
    • (1999) Inverse Problems , vol.15 , Issue.1 , pp. 79-90
    • Baratchart, L.1    Leblond, J.2    Mandrea, F.3    Saff, E.B.4
  • 6
    • 13744261500 scopus 로고    scopus 로고
    • Recovery of pointwise sources or small inclusions in 2D domains and rational approximation
    • Baratchart L, Ben Abda A, Ben Hassen F and Leblond J 2005 Recovery of pointwise sources or small inclusions in 2D domains and rational approximation Inverse Problems 21 51
    • (2005) Inverse Problems , vol.21 , Issue.1 , pp. 51
    • Baratchart, L.1    Ben Abda, A.2    Ben Hassen, F.3    Leblond, J.4
  • 7
    • 0032164152 scopus 로고    scopus 로고
    • Some properties of the asymptotic location of poles of fade approximants to noisy rational functions, relevant for modal analysis
    • PII S1053587X98061157
    • Barone P and March R 1998 Some properties of the asymptotic location of poles of Pade approximants to noisy rational functions, relevant for modal analysis IEEE Trans. Signal Process. 46 244857 (Pubitemid 128744089)
    • (1998) IEEE Transactions on Signal Processing , vol.46 , Issue.9 , pp. 2448-2457
    • Barone, P.1    March, R.2
  • 8
    • 0023827797 scopus 로고    scopus 로고
    • Signal enhancementa composite property mapping algorithm
    • Cadzow J A 1998 Signal enhancementa composite property mapping algorithm IEEE Trans. Acoust. Speech Signal Process. 36 4962
    • (1998) IEEE Trans. Acoust. Speech Signal Process. , vol.36 , Issue.1 , pp. 49-62
    • Cadzow, J.A.1
  • 9
    • 70350649019 scopus 로고    scopus 로고
    • Identification of the combination of monopolar and dipolar sources for elliptic equations
    • Chung Y S and Chung S Y 2009 Identification of the combination of monopolar and dipolar sources for elliptic equations Inverse Problems 25 085006
    • (2009) Inverse Problems , vol.25 , Issue.8
    • Chung, Y.S.1    Chung, S.Y.2
  • 11
  • 12
    • 0000556609 scopus 로고    scopus 로고
    • An inverse source problem in potential analysis
    • El-Badia A and Ha-Duong T 2000 An inverse source problem in potential analysis Inverse Problems 16 65163
    • (2000) Inverse Problems , vol.16 , Issue.3 , pp. 651-663
    • El-Badia, A.1    Ha-Duong, T.2
  • 13
    • 0033293081 scopus 로고    scopus 로고
    • A stable numerical method for inverting shape from moments
    • Golub G H, Milanfar P and Varah J 1999 A stable numerical method for inverting shape from moments SIAM J. Sci. Comput. 21 122243
    • (1999) SIAM J. Sci. Comput. , vol.21 , Issue.4 , pp. 1222-1243
    • Golub, G.H.1    Milanfar, P.2    Varah, J.3
  • 14
    • 49749103257 scopus 로고    scopus 로고
    • On real-time algorithms for the location search of discontinuous conductivities with one measurement
    • Hanke M 2008 On real-time algorithms for the location search of discontinuous conductivities with one measurement Inverse Problems 24 045005
    • (2008) Inverse Problems , vol.24 , Issue.4
    • Hanke, M.1
  • 16
    • 0025431693 scopus 로고
    • Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
    • DOI 10.1109/29.56027
    • Hua Y and Sarkar T K 1990 Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise IEEE Trans. Acoust. Speech Signal Process. 38 81424 (Pubitemid 20713557)
    • (1990) IEEE Transactions on Acoustics, Speech, and Signal Processing , vol.38 , Issue.5 , pp. 814-824
    • Hua Yingbo1    Sarkar Tapan, K.2
  • 17
    • 0037148672 scopus 로고    scopus 로고
    • On MEG forward modelling using multipolar expansions
    • DOI 10.1088/0031-9155/47/4/301, PII S0031915502274916
    • Jerbi K, Mosher J C, Bailet S and Leahy R M 2002 On MEG forward modelling using multipolar expansions Phys. Med. Biol. 47 52355 (Pubitemid 34232653)
    • (2002) Physics in Medicine and Biology , vol.47 , Issue.4 , pp. 523-555
    • Jerbi, K.1    Mosher, J.C.2    Baillet, S.3    Leahy, R.M.4
  • 18
    • 2942616580 scopus 로고    scopus 로고
    • Localization of realistic cortical activity in MEG using current multipoles
    • DOI 10.1016/j.neuroimage.2004.02.010, PII S1053811904001028
    • Jerbi K, Bailet S, Mosher J C, Nolte G, Garnero L and Leahy R M 2004 Localization of realistic cortical activity in MEG using current multipoles NeuroImage 22 77993 (Pubitemid 38759441)
    • (2004) NeuroImage , vol.22 , Issue.2 , pp. 779-793
    • Jerbi, K.1    Baillet, S.2    Mosher, J.C.3    Nolte, G.4    Garnero, L.5    Leahy, R.M.6
  • 19
    • 84950419541 scopus 로고
    • Design of a self-optimizing control system
    • Kalman R E 1958 Design of a self-optimizing control system Trans. ASME 80 46878
    • (1958) Trans. ASME , vol.80 , pp. 468-478
    • Kalman, R.E.1
  • 20
    • 10844251139 scopus 로고    scopus 로고
    • Identification of simple poles via boundary measurements and an application of EIT
    • DOI 10.1088/0266-5611/20/6/010, PII S0266561104810591
    • Kang H and Lee H 2004 Identification of simple poles via boundary measurements and an application of EIT Inverse Problems 20 185363 (Pubitemid 40002907)
    • (2004) Inverse Problems , vol.20 , Issue.6 , pp. 1853-1863
    • Kang, H.1    Lee, H.2
  • 21
    • 68649096448 scopus 로고    scopus 로고
    • Tensor decomposition and applications
    • Kolda T G and Bader B W 2009 Tensor decomposition and applications SIAM Rev. 55 455500
    • (2009) SIAM Rev. , vol.51 , Issue.3 , pp. 455-500
    • Kolda, T.G.1    Bader, B.W.2
  • 25
    • 0014746936 scopus 로고
    • Stabilized numerical analytic prolongation with poles
    • Miller K 1970 Stabilized numerical analytic prolongation with poles SIAM J. Appl. Math. 18 346
    • (1970) SIAM J. Appl. Math. , vol.18 , Issue.2 , pp. 346
    • Miller, K.1
  • 27
    • 0037387913 scopus 로고    scopus 로고
    • A projective method for an inverse source problem of the Poisson equation
    • Nara T and Ando S 2003 A projective method for an inverse source problem of the Poisson equation Inverse Problems 19 35569
    • (2003) Inverse Problems , vol.19 , Issue.2 , pp. 355-369
    • Nara, T.1    Ando, S.2
  • 28
    • 34547697293 scopus 로고    scopus 로고
    • Direct localization of multiple magnetic dipoles for surface crack detection
    • DOI 10.1515/jiip.2007.022
    • Nara T and Ando S 2007 Direct localization of multiple magnetic dipoles for surface crack detection J. Inverse Ill-posed Problems 15 40318 (Pubitemid 47213846)
    • (2007) Journal of Inverse and Ill-Posed Problems , vol.15 , Issue.4 , pp. 403-418
    • Nara, T.1    Ando, S.2
  • 29
    • 34250379597 scopus 로고    scopus 로고
    • Direct reconstruction algorithm of current dipoles for vector magnetoencephalography and electroencephalography
    • DOI 10.1088/0031-9155/52/13/014, PII S0031915507447583, 014
    • Nara T, Oohama J, Hashimoto M, Takeda T and Ando S 2007 Direct reconstruction algorithm of current dipoles for vector magnetoencephalography and electroencephalography Phys. Med. Biol. 52 385979 (Pubitemid 46908600)
    • (2007) Physics in Medicine and Biology , vol.52 , Issue.13 , pp. 3859-3879
    • Nara, T.1    Oohama, J.2    Hashimoto, M.3    Takeda, T.4    Ando, S.5
  • 30
    • 42549164991 scopus 로고    scopus 로고
    • An algebraic method for identification of dipoles and quadrupoles
    • Nara T 2008 An algebraic method for identification of dipoles and quadrupoles Inverse Problems 24 025010
    • (2008) Inverse Problems , vol.24 , Issue.2
    • Nara, T.1
  • 31
    • 74849125375 scopus 로고    scopus 로고
    • Direct localization of poles of a meromorphic function from measurements on an incomplete boundary
    • Nara T and Ando S 2010 Direct localization of poles of a meromorphic function from measurements on an incomplete boundary Inverse Problems 26 015011
    • (2010) Inverse Problems , vol.26 , Issue.1
    • Nara, T.1    Ando, S.2
  • 32
    • 0030853471 scopus 로고    scopus 로고
    • On the calculation of magnetic fields based on multipole modeling of focal biological current sources
    • Nolte G and Curio G 1997 On the calculation of magnetic fields based on multipole modeling of focal biological current source Biophys. J. 73 125362 (Pubitemid 27360715)
    • (1997) Biophysical Journal , vol.73 , Issue.3 , pp. 1253-1262
    • Nolte, G.1    Curio, G.2
  • 33
    • 0034306052 scopus 로고    scopus 로고
    • Current multipole expansion to estimate lateral extent of neuronal activity: A theoretical analysis
    • Nolte G and Curio G 2000 Current multipole expansion to estimate lateral extent of neuronal activity: a theoretical analysis IEEE Trans. Biomed. Eng. 47 134755
    • (2000) IEEE Trans. Biomed. Eng. , vol.47 , Issue.10 , pp. 1347-1355
    • Nolte, G.1    Curio, G.2
  • 34
    • 26644472198 scopus 로고    scopus 로고
    • Exponential data fitting using multilinear algebra: The single-channel and multi-channel case
    • DOI 10.1002/nla.453, Numerical Linear Algebra and its Applications
    • Papy J M, De Lathauwer L and Van Huffel S 2005 Exponential data fitting using multilinear algebra: the single-channel and multi-channel case Numer. Linear Algebra Appl. 12 80926 (Pubitemid 41441205)
    • (2005) Numerical Linear Algebra with Applications , vol.12 , Issue.8 , pp. 809-826
    • Papy, J.M.1    De Lathauwer, L.2    Van Huffel, S.3
  • 35
    • 84892149890 scopus 로고
    • A technique for the identification of linear systems
    • Steiglitz K and Mcbridge L E 1965 A technique for the identification of linear systems IEEE Trans. Autom. Control 10 4614
    • (1965) IEEE Trans. Autom. Control , vol.10 , Issue.4 , pp. 461-464
    • Steiglitz, K.1    McBridge, L.E.2
  • 36
    • 0017626193 scopus 로고
    • On the simultaneous estimation of poles and zeros in speech analysis
    • DOI 10.1109/TASSP.1977.1162939
    • Steiglitz K 1977 On the simultaneous estimation of poles and zeros in speech analysis IEEE Trans. Acoustics Speech Signal Process. 25 22934 (Pubitemid 8196362)
    • (1977) IEEE Transactions on Acoustics, Speech, and Signal Processing , vol.25 , Issue.3 , pp. 229-234
    • Steiglitz, K.1
  • 37
    • 0019579163 scopus 로고
    • The SteiglitzMcBridge identification algorithm revisitedconvergence analysis and accuracy aspects
    • Stoica P and Sderstrm T 1981 The SteiglitzMcBridge identification algorithm revisitedconvergence analysis and accuracy aspects IEEE Trans. Autom. Control 26 7127 (Pubitemid 11420012)
    • (1981) IEEE Transactions on Automatic Control , Issue.3 , pp. 712-717
    • Stoica, P.1    Soderstrom, T.2
  • 38
    • 0016571083 scopus 로고
    • A technique for extracting the poles and residues of a system directly from its transient response
    • Van Blaricum M L and Mittra R 1975 A technique for extracting the poles and residues of a system directly from its transient response IEEE Trans. Antennas Propag. 23 77781
    • (1975) IEEE Trans. Antennas Propag. , vol.23 , Issue.6 , pp. 777-781
    • Van Blaricum, M.L.1    Mittra, R.2


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