. En, sur les pôles extraits, en milieu bruité, est la plus faible pour ces valeurs de L. Comme pour la TLS-Prony, la matrice [Y ] est décomposée en valeurs singulières de la façon suivante

L. Dans-le-cas-de-données-non-bruitées and . Matrice, les valeurs singulières nulles sont perturbées et le nombre de valeurs singulières devient donc supérieur à M . L'idée de cette méthode est de filtrer les valeurs singulières. Pour cela, les valeurs singulières les plus faibles de [?] (inférieures à un seuil ?) sont mises à zéro et seules les M valeurs singulières les plus élevées sont conservées

. Où-c-i-représente-la-i-Ème-colonne-de, A partir des équations II.2.39 et II.2.40, il est possible d'écrire

I. Sommaire and .. Introduction, 55 III.2 Définition d'un jeu de pôles 55 III.3 Extraction en milieu non bruité, ., p.61

L. Méthode, M. Pencil, and .. , 62 III.3.2.2 La fenêtre d'observation, p.64

.. De-bruit, 73 III.4.2 Extraction avec autocorrélation 76 III.4.3 Application des trois méthodes sur une réponse bruitée, Matrix Pencil, p.81

.. Pôles-de-résonance-extraits-du-champ-rayonné-par-une-antenne....., 88 IV.2.1.2 Définition du temps retardé, p.102

.. Pôles-de-résonance-extraits-du-champ-rétrodiffusé-par-une-antenne..., 106 IV.3.1.2 Extraction avec la méthode de, p.120

L. 'antenne-dipôle-papillon and .. , 120 IV.3.2.2 Comparaison avec l'extraction en rayonnement, Conclusion, p.122

.. Etude-d-'antennes-réelles, 144 V.3.1 L'antenne patch, p.146

F. Sarrazin, A. Sharaiha, P. Pouliguen, and P. Potier, Chauveau : « Méthodes d'extraction des pôles de résonance d'une antenne, Journées Nationales Microondes (JNM), 2013.

C. E. Baum, On the singularity expansion method for the solution of electromagnetic interaction problems, EMP Interaction Note, vol.82, issue.8, pp.112-066905, 1971.

A. Berni, Target Identification by Natural Resonance Estimation, IEEE Transactions on Aerospace and Electronic Systems, vol.11, issue.2, pp.147-154, 1975.
DOI : 10.1109/TAES.1975.308051

C. Baum, E. Rothwell, K. Chen, and D. Nyquist, The singularity expansion method and its application to target identification, Proceedings of the IEEE, vol.79, issue.10, pp.1481-1492, 1991.
DOI : 10.1109/5.104223

C. Marchais, Conception et caractérisation compacte temporelle / fréquentielle d'antennes pour applications ultra large bande, 2006.

T. Lavenan, Contribution à la discrimination d'obstacle radar en zone de résonance, 1994.

R. Toribio, Méhodes d'extraction de pôles de résonance : Application à la caractérisation de cibles, 2003.

J. Chauveau, Caractérisation des pôles de résonance d'objets éclairés par une onde électromagnétique large bande, 2007.

C. Balanis, Antenna Theory Analysis and Design, 2005.

D. Kwon, Effect of Antenna Gain and Group Delay Variations on Pulse-Preserving Capabilities of Ultrawideband Antennas, IEEE Transactions on Antennas and Propagation, vol.54, issue.8, pp.2208-2215, 2006.
DOI : 10.1109/TAP.2006.879189

S. Licul and W. Davis, Unified frequency and time-domain antenna modeling and characterization, IEEE Transactions on Antennas and Propagation, vol.53, issue.9, pp.2882-2888, 2005.
DOI : 10.1109/TAP.2005.854533

C. Marchais, B. Uguen, A. Sharaiha, G. Ray, and L. Coq, Compact characterisation of ultra wideband antenna responses from frequency measurements, Microwaves, Antennas Propagation, IET, pp.671-675
DOI : 10.1049/iet-map.2010.0196

M. Hachemi, S. Bories, K. H. Khlifa, and C. Delaveaud, Miniature antenna radiation pattern measurement using fiber-optic link, Proceedings of the Fourth European Conference on Antennas and Propagation (EuCAP), pp.1-5, 2010.

E. Knott, J. Shaeffer, and M. Tuley, Radar Cross Section, ser. Artech House Radar Library Artech House, 1993.

J. Gruber, Investigation of the method of measuring antenna patterns by utilizing the reradiated electromagnetic field, 1946.

G. Sinclair, E. Jordan, and E. Vaughan, Measurement of Aircraft-Antenna Patterns Using Models, Proceedings of the IRE, pp.1451-1462, 1947.
DOI : 10.1109/JRPROC.1947.234570

D. King, The Measurement and Interpretation of Antenna Scattering, Proceedings of the IRE, vol.37, issue.7, pp.770-777, 1949.
DOI : 10.1109/JRPROC.1949.234299

R. Harrington, Electromagnetic scattering by antennas, IEEE Transactions on Antennas and Propagation, vol.11, issue.5, pp.595-596, 1963.
DOI : 10.1109/TAP.1963.1138078

R. Collin, The receiving antenna, McGraw-Hill, 1969.

R. Hansen, Relationships between antennas as scatterers and as radiators, Proceedings of the IEEE, vol.77, issue.5, pp.659-662, 1989.
DOI : 10.1109/5.32056

R. Green, The general theory of antenna scattering, 1963.

R. Garbacz, Determination of antenna parameters by scattering cross-section measurements, Proceedings of the Institution of Electrical Engineers, pp.1679-1686, 1964.
DOI : 10.1049/piee.1964.0275

J. Appel-hansen, A Van Atta reflector consisting of half-wave dipoles, IEEE Transactions on Antennas and Propagation, vol.14, issue.6, pp.694-700, 1966.
DOI : 10.1109/TAP.1966.1138780

J. Appel-hansen, Accurate determination of gain and radiation patterns by radar cross-section measurements, IEEE Transactions on Antennas and Propagation, vol.27, issue.5, pp.640-646, 1979.
DOI : 10.1109/TAP.1979.1142156

J. Wang, C. Choi, and R. Moore, Precision experimental characterization of the scattering and radiation properties of antennas, IEEE Transactions on Antennas and Propagation, vol.30, issue.1, pp.108-112, 1982.
DOI : 10.1109/TAP.1982.1142745

K. Lambert, R. Rudduck, and T. Lee, A new method for obtaining antenna gain from backscatter measurements, IEEE Transactions on Antennas and Propagation, vol.38, issue.6, pp.896-902, 1990.
DOI : 10.1109/8.55588

E. Heidrich and W. Wiesbeck, Features of advanced polarimetric RCS-antenna measurements, Digest on Antennas and Propagation Society International Symposium, pp.1026-1029, 1989.
DOI : 10.1109/APS.1989.134874

E. Heidrich and W. Wiesbeck, Wideband polarimetric rcs-antenna measurement, Seventh International Conference on (IEE) Antennas and Propagation, pp.424-427, 1991.

W. Wiesbeck and E. Heidrich, Wide-band multiport antenna characterization by polarimetric RCS measurements, IEEE Transactions on Antennas and Propagation, vol.46, issue.3, pp.341-350, 1998.
DOI : 10.1109/8.662653

O. Vicencio and J. Romeu, Application of RCS measurement method for characterization of small antennas, 2008 IEEE Antennas and Propagation Society International Symposium, pp.1-4, 2008.
DOI : 10.1109/APS.2008.4618966

S. Bories, M. Hachemi, K. H. Khlifa, and C. Delaveaud, Small antennas impedance and gain characterization using backscattering measurements, Proceedings of the Fourth European Conference on Antennas and Propagation (EuCAP), pp.1-5, 2010.

C. Baum, The Singularity Expansion Method, Pelson, Ed. Transient Electromagnetic Field, 1976.

J. Chauveau, N. Beaucoudray, and J. Saillard, CHARACTERIZATION OF PERFECTLY CONDUCTING TARGETS IN RESONANCE DOMAIN WITH THEIR QUALITY OF RESONANCE, Progress In Electromagnetics Research, vol.74, pp.69-84, 2007.
DOI : 10.2528/PIER07041602

H. Uberall and G. C. Gaunaurd, The physical content of the singularity expansion method, Applied Physics Letters, vol.39, issue.4, pp.362-364, 1981.
DOI : 10.1063/1.92730

N. Gharsallah, E. Rothwell, K. Chen, and D. Nyquist, Identification of the natural resonance frequencies of a conducting sphere from a measured transient response, IEEE Transactions on Antennas and Propagation, vol.38, issue.1, pp.141-143, 1990.
DOI : 10.1109/8.43603

G. Mie, Beitr??ge zur Optik tr??ber Medien, speziell kolloidaler Metall??sungen, Annalen der Physik, vol.24, issue.3, pp.377-445, 1908.
DOI : 10.1002/andp.19083300302

G. Kristensson, Natural frequencies of circular disks, IEEE Transactions on Antennas and Propagation, vol.32, issue.5, pp.442-448, 1984.
DOI : 10.1109/TAP.1984.1143356

S. Chaudhuri, A time domain synthesis of electromagnetic backscattering by conducting ellipsoids, IEEE Transactions on Antennas and Propagation, vol.28, issue.4, pp.523-530, 1980.
DOI : 10.1109/TAP.1980.1142373

Y. Long, Determination of the natural frequencies for conducting rectangular boxes, IEEE Transactions on Antennas and Propagation, vol.42, issue.7, pp.1016-1021, 1994.
DOI : 10.1109/8.299607

W. Sun, K. Chen, D. Nyquist, and E. Rothwell, Determination of the natural modes for a rectangular plate (transient scattering), IEEE Transactions on Antennas and Propagation, vol.38, issue.5, pp.643-652, 1990.
DOI : 10.1109/8.53492

K. Cho and J. Cordaro, Calculation of the SEM parameters from the transient response of a thin wire, IEEE Transactions on Antennas and Propagation, vol.28, issue.6, pp.921-924, 1980.
DOI : 10.1109/TAP.1980.1142409

J. Brittingham, E. Miller, and J. Willows, Pole extraction from real-frequency information, Proceedings of the IEEE, pp.263-273, 1980.
DOI : 10.1109/PROC.1980.11621

A. Hoorfar and D. Chang, Analytic determination of the transient response of a thin-wire antenna based upon an SEM representation, IEEE Transactions on Antennas and Propagation, vol.30, issue.6, pp.1145-1152, 1982.
DOI : 10.1109/TAP.1982.1142959

K. Umashankar and D. Wilton, Transient scattering of an L-shaped wire using the singularity expansion method, IEEE Transactions on Antennas and Propagation, vol.23, issue.6, pp.838-841, 1975.
DOI : 10.1109/TAP.1975.1141190

M. Richards, T. Shumpert, and L. Riggs, SEM formulation of the fields scattered from arbitrary wire structures, IEEE Transactions on Electromagnetic Compatibility, vol.35, issue.2, pp.249-254, 1993.
DOI : 10.1109/15.229435

E. Rothwell, J. Baker, K. Chen, and D. Nyquist, Approximate natural response of an arbitrarily shaped thin wire scatterer, IEEE Transactions on Antennas and Propagation, vol.39, issue.10, pp.1457-1462, 1991.
DOI : 10.1109/8.97376

C. Chuang and D. Moffatt, Natural Resonances of Radar Targets Via Prony's Method and Target Discrimination, IEEE Transactions on Aerospace and Electronic Systems, vol.12, issue.5, pp.583-589, 1976.
DOI : 10.1109/TAES.1976.308260

N. Shuley and I. Longstaff, Polarisation studies in uwb target recognition URSI Commission F Triennium Open Symposium, pp.171-175, 2004.

M. Morgan, Target I.D. using natural resonances, IEEE Potentials, vol.12, issue.4, pp.11-14, 1993.
DOI : 10.1109/45.282331

C. Baum, Signature-based target identification and pattern recognition, IEEE Antennas and Propagation Magazine, vol.36, issue.3, pp.44-51, 1994.
DOI : 10.1109/74.294242

E. Kennaugh, The K-pulse concept, IEEE Transactions on Antennas and Propagation, vol.29, issue.2, pp.327-331, 1981.
DOI : 10.1109/TAP.1981.1142561

T. Benny, Simple target identification using k-pulse terchniques, 2003.

E. Rothwell, K. Chen, and D. Nyquist, Extraction of the natural frequencies of a radar target from a measured response using E-pulse techniques, IEEE Transactions on Antennas and Propagation, vol.35, issue.6, pp.715-720, 1987.
DOI : 10.1109/TAP.1987.1144166

R. Toribio, J. Saillard, and P. Pouliguen, Identification of Radar Targets in Resonance Zone: E-Pulse Techniques, Progress In Electromagnetics Research, vol.43, pp.39-58, 2003.
DOI : 10.2528/PIER02100201

K. M. Chen, D. Nyquist, E. Rothwell, L. Webb, and B. Drachman, Radar target discrimination by convolution of radar return with extinction-pulses and single-mode extraction signals, IEEE Transactions on Antennas and Propagation, vol.34, issue.7, pp.896-904, 1986.
DOI : 10.1109/TAP.1986.1143908

J. Mooney, Z. Ding, and L. Riggs, Robust target identification in white Gaussian noise for ultra wide-band radar systems, IEEE Transactions on Antennas and Propagation, vol.46, issue.12, pp.1817-1823, 1998.
DOI : 10.1109/8.743818

L. Chan, Subsurface Electromagnetic Target Characterization and Identification, 1979.

L. Chan, D. Moffatt, J. Peters, and L. , A characterization of subsurface radar targets, Proceedings of the IEEE, pp.991-1000, 1979.

C. C. Chen, J. Peters, and L. , Buried unexploded ordnance identification via complex natural resonances, IEEE Transactions on Antennas and Propagation, vol.45, issue.11, pp.1645-1654, 1997.
DOI : 10.1109/8.650076

C. Baum, Discrimination of buried targets via the singularity expansion, Inverse Problems, vol.13, issue.3, p.557, 1997.
DOI : 10.1088/0266-5611/13/3/003

P. D. Smith, S. R. Cloude, Y. Lostanlen, Y. Corre, and B. Uguen, Buried object identification with an optimisation of the tls prony algorithm, Ultra-Wideband, Short-Pulse Electromagnetics 5, pp.615-622, 2002.

C. Gilmore, A comparison of imaging methods using gpr for landmine detection and a preliminary investigation into the sem for identification of buried objects, 2004.

C. Baum, The sem representation of scattering from perfectly conducting targets in simple lossy media, Tech. Rep, p.492, 1993.

S. Vitebskiy and L. Carin, Resonances of perfectly conducting wires and bodies of revolution buried in a lossy dispersive half-space, IEEE Transactions on Antennas and Propagation, vol.44, issue.12, pp.1575-1583, 1996.
DOI : 10.1109/8.546243

W. Howell and H. Uberall, Selective observation of resonances via their ringing in transient radar scattering, as illustrated for conducting and coated spheres, IEEE Transactions on Antennas and Propagation, vol.38, issue.3, pp.293-298, 1990.
DOI : 10.1109/8.52236

J. Chauveau, N. De-beaucoudrey, and J. Saillard, Determination of resonance poles of radar targets in narrow frequency bands, 2007 European Radar Conference, pp.122-125, 2007.
DOI : 10.1109/EURAD.2007.4404952

J. Chauveau, N. Beaucoudray, and J. Saillard, Analysis of complex shape targets by natural poles of resonance, 2006.

F. M. Tesche, On the singularity expansion method as applied to electromagnetic scattering from thin-wires, AFWL Interaction Note, vol.102, 1972.

F. Tesche, On the analysis of scattering and antenna problems using the singularity expansion technique, IEEE Transactions on Antennas and Propagation, vol.21, issue.1, pp.53-62, 1973.
DOI : 10.1109/TAP.1973.1140398

P. Barnes, On the singularity expansion method as applied to the emp analysis and simulation of the cylindrical dipole antenna, Oak Ridge National Laboratory, Tech. Rep, 1973.

M. Van-blaricum 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, vol.23, issue.6, pp.777-781, 1975.
DOI : 10.1109/TAP.1975.1141184

F. Tesche, The far-field response of a step-excited linear antenna using SEM [singularity expansion method], IEEE Transactions on Antennas and Propagation, vol.23, issue.6, pp.834-838, 1975.
DOI : 10.1109/TAP.1975.1141183

K. Michalski and L. Pearson, Equivalent circuit synthesis for a loop antenna based on the singularity expansion method, IEEE Transactions on Antennas and Propagation, vol.32, issue.5, pp.433-441, 1984.
DOI : 10.1109/TAP.1984.1143349

H. Friis, A Note on a Simple Transmission Formula, Proceedings of the IRE, vol.34, issue.5, pp.254-256, 1946.
DOI : 10.1109/JRPROC.1946.234568

A. Shlivinski, E. Heyman, and R. Kastner, Antenna characterization in the time domain, IEEE Transactions on Antennas and Propagation, vol.45, issue.7, pp.1140-1149, 1997.
DOI : 10.1109/8.596907

C. Rego, J. Nunes, M. De-abreu, and . Bueno, Unified characterization of UWB antennas in time and frequency domains: an approach based on the singularity expansion method, 2007 SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference, pp.827-831, 2007.
DOI : 10.1109/IMOC.2007.4404385

W. Dos-anjos, C. Goncalves, and . Rego, Characterization UWB of wire antennas in the space-time domain, 2011 SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference (IMOC 2011), pp.2011-2012, 2011.
DOI : 10.1109/IMOC.2011.6169420

T. Yang, W. Davis, and W. Stutzman, Multipath mitigation in pattern measurement of small directive antennas based on the singularity expansion method (SEM), 2009 IEEE International Workshop on Antenna Technology, pp.1-4, 2009.
DOI : 10.1109/IWAT.2009.4906962

D. Rialet, S. Podilchak, M. Clenet, M. Essaaidi, and Y. Antar, Characterization of compact disc UWB monopole antennas using the Singularity Expansion Method, 2012 IEEE International Conference on Ultra-Wideband, pp.412-416
DOI : 10.1109/ICUWB.2012.6340490

G. Hanson, Steady-state scattering from microstrip dipole and patch antennas evaluated by the singularity expansion method, IEEE Antennas and Propagation Society International Symposium 1992 Digest, pp.2235-2238, 1992.
DOI : 10.1109/APS.1992.221418

G. Hanson and D. Nyquist, The RCS of a microstrip dipole deduced from an expansion of pole singularities, IEEE Transactions on Antennas and Propagation, vol.41, issue.3, pp.376-379, 1993.
DOI : 10.1109/8.233121

G. Hanson, An SEM analysis of the voltage induced upon a printed strip antenna by a transient plane wave, IEEE Transactions on Antennas and Propagation, vol.41, issue.12, pp.1742-1746, 1993.
DOI : 10.1109/8.273321

R. Hall and H. Steyskal, Wideband scattering of microstrip patches using natural modes, IEEE Transactions on Antennas and Propagation, vol.43, issue.10, pp.1140-1143, 1995.
DOI : 10.1109/8.467651

N. Plantis, P. Pouliguen, A. Sharaiha, and P. Potier, Caractérisation électromagnétique des antennes ultra large bandes pour les systèmes de communications numériques sans fils de nouvelle génération, 2009.

N. Hendijani and M. Manteghi, Application of singularity expansion method in estimating size of a stent implanted in the artery, 2011 IEEE International Symposium on Antennas and Propagation (APSURSI), pp.131-133, 2011.
DOI : 10.1109/APS.2011.5996658

C. D. Manteghi, M. , and P. P. Vlachos, Application of singularity expansion method for monitoring the deployment of arterial stents, Microwave and Optical Technology Letters, vol.26, issue.10, pp.2241-2246, 2012.
DOI : 10.1002/mop.27053

S. Padhi and N. Shuley, Investigation into detection of malignant tumor using Singularity Expansion Method (SEM), 2007 IEEE Antennas and Propagation International Symposium, pp.2180-2183, 2007.
DOI : 10.1109/APS.2007.4395960

F. Yang and A. Mohan, Complex natural resonances for breast tissues with complex morphology, IEEE International Symposium on Antennas and Propagation (AP- SURSI), pp.699-702, 2011.

A. Blischak and M. Manteghi, Embedded Singularity Chipless RFID Tags, IEEE Transactions on Antennas and Propagation, vol.59, issue.11, pp.3961-3968, 2011.
DOI : 10.1109/TAP.2011.2164191

M. Manteghi, A novel approach to improve noise reduction in the Matrix Pencil Algorithm for chipless RFID tag detection, 2010 IEEE Antennas and Propagation Society International Symposium, pp.1-4, 2010.
DOI : 10.1109/APS.2010.5562223

R. Rezaiesarlak and M. Manteghi, Short-Time Matrix Pencil Method for Chipless RFID Detection Applications, IEEE Transactions on Antennas and Propagation, vol.61, issue.5, pp.2801-2806, 2013.
DOI : 10.1109/TAP.2013.2238497

C. Roblin, Ultra compressed parametric modelling of UWB antenna measurements, 2006 First European Conference on Antennas and Propagation, pp.1-8, 2006.
DOI : 10.1109/EUCAP.2006.4584477

T. Sarkar, Z. Maricevic, and M. Kahrizi, An accurate de-embedding procedure for characterizing discontinuities, International Journal of Microwave and Millimeter-Wave Computer-Aided Engineering, vol.2, pp.135-142, 1992.

M. Kahrizi, T. Sarkar, and Z. Maricevic, Dynamic analysis of a microstrip line over a perforated ground plane, IEEE Transactions on Microwave Theory and Techniques, vol.42, issue.5, pp.820-825, 1994.
DOI : 10.1109/22.293530

T. Sarkar and M. Salazar, An alternate interpretation of complex modes in closed perfectly conducting structures, pp.123-129, 1994.

Y. Hua, F. Baqai, Y. Zhu, and D. Heilbronn, Imaging of point scatterers from step-frequency ISAR data, IEEE Transactions on Aerospace and Electronic Systems, vol.29, issue.1, pp.195-205, 1993.
DOI : 10.1109/7.249125

Y. Hua, High resolution imaging of continuously moving object using stepped frequency radar, Signal Processing, vol.35, issue.1, pp.33-40, 1994.
DOI : 10.1016/0165-1684(94)90188-0

R. Prony, Essai expérimental et analytique sur les lois de la dilatabilité de fluides élastiques et sur celles de la force expansive de la vapeur d'alcool, pp.1440-1454, 1795.

A. Householder, On prony's method of fitting exponential decay curves and multiple-hit survival curves, p.455, 1950.

M. Vanblaricum and R. Mittra, Problems and solutions associated with Prony's method for processing transient data, IEEE Transactions on Antennas and Propagation, vol.26, issue.1, pp.174-182, 1978.
DOI : 10.1109/TAP.1978.1141804

R. Mcdonough and W. Huggins, Best least-squares representation of signals by exponentials, IEEE Transactions on Automatic Control, vol.13, issue.4, pp.408-412, 1968.
DOI : 10.1109/TAC.1968.1098950

W. Steedly, C. Ying, and R. Moses, Statistical analysis of SVD-based Prony techniques, [1991] Conference Record of the Twenty-Fifth Asilomar Conference on Signals, Systems & Computers, pp.232-236, 1991.
DOI : 10.1109/ACSSC.1991.186447

E. Dowling, R. Degroat, and D. Linebarger, Exponential parameter estimation In the presence of known components and noise, IEEE Transactions on Antennas and Propagation, vol.42, issue.5, pp.590-599, 1994.
DOI : 10.1109/8.299557

D. J. Trudnowski, J. Johnson, and J. Hauer, Making Prony analysis more accurate using multiple signals, IEEE Transactions on Power Systems, vol.14, issue.1, pp.226-231, 1999.
DOI : 10.1109/59.744537

D. Tufts and R. Kumaresan, Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood, Proceedings of the IEEE, pp.975-989, 1982.
DOI : 10.1109/PROC.1982.12428

R. Kumaresan and D. Tufts, Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.30, issue.6, pp.833-840, 1982.
DOI : 10.1109/TASSP.1982.1163974

K. Steiglitz and L. Mcbride, A technique for the identification of linear systems, IEEE Transactions on Automatic Control, vol.10, issue.4, pp.461-464, 1965.
DOI : 10.1109/TAC.1965.1098181

L. Mcbride, H. Schaefgen, and K. Steiglitz, Time-Domain Approximation by Iterative Methods, IEEE Transactions on Circuit Theory, vol.13, issue.4, pp.381-387, 1966.
DOI : 10.1109/TCT.1966.1082624

Y. Hua and Y. Zhang, A perturbation property of the TLS-LP method, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.38, issue.11, pp.2004-2005, 1990.
DOI : 10.1109/29.103101

Y. Hua and T. Sarkar, Generalized pencil-of-function method for extracting poles of an EM system from its transient response, IEEE Transactions on Antennas and Propagation, vol.37, issue.2, pp.229-234, 1989.
DOI : 10.1109/8.18710

Y. Hua and T. Sarkar, Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.38, issue.5, pp.814-824, 1990.
DOI : 10.1109/29.56027

S. Van-huffel, Analysis of the total least square problem and its use in parameter estimations, 1990.

T. Sarkar, S. Park, J. Koh, and S. Rao, Application of the matrix pencil method for estimating the SEM (singularity expansion method) poles of source-free transient responses from multiple look directions, IEEE Transactions on Antennas and Propagation, vol.48, issue.4, pp.612-618, 2000.
DOI : 10.1109/8.843676

A. Cauchy, Sur le formule de lagrange relative à l'interpolation, Analyse Algébrique, 1821.

D. J. Figueiredo and C. Hu, Application of a Frequency Domain Prony Method to Wide Bandwidth Radar Signature Classification, 1979.

R. Adve and T. Sarkar, The effect of noise in the data on the Cauchy method, Microwave and Optical Technology Letters, pp.242-247, 1994.
DOI : 10.1002/mop.4650070511

A. Poggio, M. Vanblaricum, E. Miller, and R. Mittra, Evaluation of a processing technique for transient data, IEEE Transactions on Antennas and Propagation, vol.26, issue.1, pp.165-173, 1978.
DOI : 10.1109/TAP.1978.1141803

G. Marrocco and M. Ciattaglia, Ultrawide-Band Modeling of Transient Radiation From Aperture Antennas, IEEE Transactions on Antennas and Propagation, vol.52, issue.9, pp.2341-2347, 2004.
DOI : 10.1109/TAP.2004.834137

J. Chauveau, N. De-beaucoudrey, and J. Saillard, Selection of Contributing Natural Poles for the Characterization of Perfectly Conducting Targets in Resonance Region, IEEE Transactions on Antennas and Propagation, vol.55, issue.9, pp.2610-2617, 2007.
DOI : 10.1109/TAP.2007.904081

M. Van-blaricum, An analysis of existing prony's method techniques, Spring Fulmen Meeting, 1977.

R. , G. Martin, and M. C. Perez, Extended prony method applied to noisy data, Electronics Letters, vol.22, issue.22, pp.613-614, 1986.

W. Liang, H. Kang, and L. Yao, Detection of power system oscillation using moving window Prony method, 2010 International Conference on Power System Technology, pp.1-6, 2010.
DOI : 10.1109/POWERCON.2010.5666456

P. Haddad and D. Pozar, Analysis of an aperture coupled microstrip patch antenna with a thick ground plane, Proceedings of IEEE Antennas and Propagation Society International Symposium and URSI National Radio Science Meeting, pp.932-935, 1994.
DOI : 10.1109/APS.1994.407949

C. Marchais, G. L. Ray, and A. Sharaiha, Stripline Slot Antenna for UWB Communications, IEEE Antennas and Wireless Propagation Letters, pp.319-322, 2006.
DOI : 10.1109/LAWP.2006.878894

URL : https://hal.archives-ouvertes.fr/hal-00096891