J. Montojo and L. Milstein, Channel estimation for non-ideal OFDM systems, IEEE Transactions on Communications, vol.58, issue.1, pp.146-156, 2010.
DOI : 10.1109/TCOMM.2010.01.070650

A. Neves, M. Mboup, and M. Fliess, An algebraic receiver for full response CPM demodulation, 2006 International Telecommunications Symposium, 2006.
DOI : 10.1109/ITS.2006.4433304
URL : https://hal.archives-ouvertes.fr/inria-00086115

A. Klapuri, Multiple fundamental frequency estimation based on harmonicity and spectral smoothness, IEEE Transactions on Speech and Audio Processing, vol.11, issue.6, pp.804-816, 2003.
DOI : 10.1109/TSA.2003.815516

H. Karimi, M. Karimi-ghartemani, and M. Iravani, Estimation of Frequency and its Rate of Change for Applications in Power Systems, IEEE Transactions on Power Delivery, vol.19, issue.2, pp.472-480, 2004.
DOI : 10.1109/TPWRD.2003.822957

J. Wu, J. Long, and J. Wang, High-accuracy, wide-range frequency estimation methods for power system signals under non-sinusoidal conditions, IEEE Trans. Power Delivery, vol.20, issue.1, pp.366-374, 2005.

J. Yang and C. Liu, A Precise Calculation of Power System Frequency, IEEE Power Engineering Review, vol.21, issue.4, pp.361-366, 2001.
DOI : 10.1109/MPER.2001.4311328

M. Begovic, P. Djuric, S. Dunlap, and A. Phadke, Frequency tracking in power networks in the presence of harmonics, IEEE Transactions on Power Delivery, vol.8, issue.2, pp.480-486, 1993.
DOI : 10.1109/61.216849

J. Trapero, H. Sira-ramírez, and V. Battle, A fast on-line frequency estimator of lightly damped vibrations in flexible structures, Journal of Sound and Vibration, vol.307, issue.1-2, pp.365-378, 2007.
DOI : 10.1016/j.jsv.2007.07.005

J. Becedas, J. Trapero, V. Feliu, and H. Sira-ramírez, Adaptive Controller for Single-Link Flexible Manipulators Based on Algebraic Identification and Generalized Proportional Integral Control, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), vol.39, issue.3, pp.735-751, 2009.
DOI : 10.1109/TSMCB.2008.2008905

S. Hall and N. Wereley, Performance of higher harmonic control algorithms for helicopter vibration reduction, Journal of Guidance, Control, and Dynamics, vol.16, issue.4, pp.793-797, 1993.
DOI : 10.2514/3.21085

M. Bodson and S. Douglas, Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency, Proc. 13th IFAC World Conf, 1996.
DOI : 10.1016/S0005-1098(97)00149-0

R. Herzog, P. Buhler, C. Gahler, and R. Larsonneur, Unbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings, IEEE Transactions on Control Systems Technology, vol.4, issue.5, pp.580-586, 1996.
DOI : 10.1109/87.531924

W. Perruquetti, P. Bonnet, M. Mboup, R. Ushirobira, and P. Fraisse, An algebraic approach for humane posture estimation in the sagital plane using accelerometer noisy signal, Proc. 51st IEEE Conf. Decision Control, 2012.

R. De-prony and G. , Essai expérimental et analytique : sur les lois de la dilatabilité de fluidesélastiquesfluides´fluidesélastiques et sur celles de la force expansive de la vapeur de l'eau et de la vapeur de l'alcooì a différentes températures, Journal de l'´ ecole polytechnique, vol.1, issue.22, pp.24-76, 1795.

M. Kahn, M. Mackisack, M. Osborne, and G. Smyth, On the consistency of Prony's method and related algorithms, J. Comput. Graph. Statist, vol.1, pp.329-349, 1992.

M. Osborne and G. Smyth, A Modified Prony Algorithm for Exponential Function Fitting, SIAM Journal on Scientific Computing, vol.16, issue.1, pp.119-138, 1995.
DOI : 10.1137/0916008

S. Kay, S. Marple, and J. , Spectrum analysis—A modern perspective, Proceedings of the IEEE, vol.69, issue.11, pp.1380-1419, 1981.
DOI : 10.1109/PROC.1981.12184

P. Stoica, List of references on spectral line analysis, Signal Processing, vol.31, issue.3, pp.329-340, 1993.
DOI : 10.1016/0165-1684(93)90090-W

Y. Bresler and A. Macovski, Exact maximum likelihood parameter estimation of superimposed exponential signals in noise, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.34, issue.5, pp.1081-1089, 1986.
DOI : 10.1109/TASSP.1986.1164949

H. So and F. Chang, A generalized weighted linear predictor frequency estimation approach for a complex sinusoid, IEEE Transactions on Signal Processing, vol.54, issue.4, pp.1304-1315, 2006.
DOI : 10.1109/TSP.2005.863119

S. Haykin, Adaptive Filter Theory, 1991.

R. Roy and T. Kailath, ESPRIT-estimation of signal parameters via rotational invariance techniques, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.37, issue.7, pp.984-995, 1989.
DOI : 10.1109/29.32276

L. Scala, B. Bitmead, R. James, and M. , Conditions for stability of the extended Kalman filter and their application to the frequency tracking problem, Mathematics of Control, Signals and Systems, vol.38, issue.1, pp.1-26, 1995.
DOI : 10.1007/BF01212364

L. Scala, B. Bitmead, R. Quinn, and B. , An extended Kalman filter frequency tracker for high-noise environments, IEEE Transactions on Signal Processing, vol.44, issue.2, pp.431-434, 1996.
DOI : 10.1109/78.485940

S. Bittanti and S. Savaresi, On the parametrization and design of an extended Kalman filter frequency tracker, IEEE Transactions on Automatic Control, vol.45, issue.9, pp.1718-1724, 2000.
DOI : 10.1109/9.880631

B. Friedlander and J. Smith, Analysis and performance evaluation of an adaptive notch filter, IEEE Transactions on Information Theory, vol.30, issue.2, pp.283-295, 1984.
DOI : 10.1109/TIT.1984.1056887

D. Rao and S. Kung, Adaptive notch filtering for the retrieval of sinusoids in noise, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.32, issue.4, pp.791-802, 1984.
DOI : 10.1109/TASSP.1984.1164398

P. Stoica and A. Nehorai, Performance analysis of an adaptive notch filter with constrained poles and zeros, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.36, issue.6, pp.911-919, 1988.
DOI : 10.1109/29.1602

S. Bittanti, M. Campi, and S. Savaresi, Unbiased estimation of a sinusoid in colored noise via adapted notch filters, Automatica, vol.33, issue.2, pp.209-215, 1997.
DOI : 10.1016/S0005-1098(96)00145-8

M. Cheng and J. Tsai, A new IIR adaptive notch filter, Signal Processing, vol.86, issue.7, pp.1648-1655, 2006.
DOI : 10.1016/j.sigpro.2005.09.010

P. Regalia, Adaptive IIR Filtering in Signal Processing and Control, 1995.

G. Fedele, A. Ferrise, and D. Frascino, Multi-sinusoidal signal estimation by an adaptive SOGI-filters bank, 15th IFAC Symp. on Sys. Ident, 2009.
DOI : 10.3182/20090706-3-FR-2004.00066

L. Hsu, R. Ortega, and G. Damm, A globally convergent frequency estimator, IEEE Transactions on Automatic Control, vol.44, issue.4, pp.698-713, 1999.
DOI : 10.1109/9.754808

M. Mojiri and A. Bakhshai, An Adaptive Notch Filter for Frequency Estimation of a Periodic Signal, IEEE Transactions on Automatic Control, vol.49, issue.2, pp.314-318, 2004.
DOI : 10.1109/TAC.2003.821414

T. Li and B. Kedem, Strong consistency of the contraction mapping method for frequency estimation, IEEE Transactions on Information Theory, vol.39, issue.3, pp.989-998, 1993.
DOI : 10.1109/18.256505

D. Liu and C. Lin, Fundamental frequency estimation based on the joint time-frequency analysis of harmonic spectral structure, IEEE Trans. Acoust., Speech, Signal Processing sep, vol.9, issue.6, pp.609-621, 2001.

A. Bobtsov, D. Efimov, A. Pyrkin, and A. Zolghadri, Switched Algorithm for Frequency Estimation with Noise Rejection, IEEE Transactions on Automatic Control, vol.57, issue.9, pp.2400-2404, 2012.
DOI : 10.1109/TAC.2012.2186685

D. Carnevale and A. Astolfi, Hybrid Observer for Global Frequency Estimation of Saturated Signals, IEEE Transactions on Automatic Control, vol.54, issue.10, pp.2461-2464, 2009.
DOI : 10.1109/TAC.2009.2029395

D. Carnevale and A. Astolfi, A hybrid observer for frequency estimation of saturated multi-frequency signals. Decision and Control and European Control Conference (CDC-ECC), 50th IEEE Conference on, pp.2577-2582, 2011.

X. Xia, Global frequency estimation using adaptive identifiers, IEEE Transactions on Automatic Control, vol.47, issue.7, pp.1188-1193, 2002.
DOI : 10.1109/TAC.2002.800670

L. Coluccio, A. Eisinberg, and G. Fedele, A property of the elementary symmetric functions on the frequencies of sinusoidal signals, Signal Processing, vol.89, issue.5, pp.765-777, 2009.
DOI : 10.1016/j.sigpro.2008.10.021

M. Mboup, Parameter estimation via differential algebra and operational culculus. Research report URL https, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00138294

M. Hou, Parameter Identification of Sinusoids, IEEE Transactions on Automatic Control, vol.57, issue.2, pp.467-472, 2012.
DOI : 10.1109/TAC.2011.2164736

M. Fliess and H. Sira-ramírez, An algebraic framework for linear identification, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, pp.151-168, 2003.
DOI : 10.1051/cocv:2003008

M. Fliess, M. Mboup, H. Mounier, and H. Sira-ramírez, Questioning some paradigms of signal processing via concrete examples, Algebraic Methods in Flatness, Signal Processing and State Estimation, pp.1-21, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00001059

M. Fliess, C. Join, M. Mboup, and H. Sira-ramírez, Compression diff??rentielle de transitoires bruit??s, Comptes Rendus Mathematique, vol.339, issue.11, pp.821-826, 2004.
DOI : 10.1016/j.crma.2004.10.003

M. Fliess, Critique du rapport signaì a bruit en communications numériques, ARIMA, vol.9, pp.419-429, 2008.

M. Fliess and H. Sira-ramírez, Identification of continuous-time models from sampled data. chapter Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques, Advances in Industrial Control, pp.362-391, 2008.

M. Fliess, C. Join, and H. Sira-ramírez, Non-linear estimation is easy, International Journal of Modelling, Identification and Control, vol.4, issue.1, pp.12-27, 2008.
DOI : 10.1504/IJMIC.2008.020996
URL : https://hal.archives-ouvertes.fr/inria-00158855

M. Mboup, Parameter estimation for signals described by differential equations, Applicable Analysis, vol.26, issue.1, pp.29-52, 2009.
DOI : 10.1109/MED.2008.4602161

M. Fliess, C. Join, and M. Mboup, Algebraic change-point detection, Applicable Algebra in Engineering, Communication and Computing, vol.83, issue.2, pp.131-143, 2010.
DOI : 10.1007/s00200-010-0119-z
URL : https://hal.archives-ouvertes.fr/inria-00439226

M. Mboup, C. Join, and M. Fliess, A revised look at numerical differentiation with an application to nonlinear feedback control, 2007 Mediterranean Conference on Control & Automation, 2007.
DOI : 10.1109/MED.2007.4433728
URL : https://hal.archives-ouvertes.fr/inria-00142588

M. Mboup, C. Join, and M. Fliess, Numerical differentiation with annihilators in noisy environment, Numerical Algorithms, vol.14, issue.12, pp.439-467, 2009.
DOI : 10.1007/s11075-008-9236-1
URL : https://hal.archives-ouvertes.fr/inria-00319240

D. Liu, O. Gibaru, and W. Perruquetti, Error analysis for a class of numerical differentiator: application to state observation, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009.
DOI : 10.1109/CDC.2009.5400907
URL : https://hal.archives-ouvertes.fr/inria-00437129

D. Liu, O. Gibaru, and W. Perruquetti, Differentiation by integration with Jacobi polynomials, Journal of Computational and Applied Mathematics, vol.235, issue.9, pp.3015-3032, 2011.
DOI : 10.1016/j.cam.2010.12.023
URL : https://hal.archives-ouvertes.fr/inria-00550160

D. Liu, O. Gibaru, and W. Perruquetti, Error analysis of Jacobi derivative estimators for noisy signals, Numerical Algorithms, vol.21, issue.12, pp.439-467, 2011.
DOI : 10.1007/s11075-011-9447-8
URL : https://hal.archives-ouvertes.fr/inria-00573270

D. Liu, O. Gibaru, and W. Perruquetti, Convergence Rate of the Causal Jacobi Derivative Estimator, Lecture Notes in Computer Science, vol.50, issue.4, pp.439-467, 2011.
DOI : 10.1007/978-3-642-27413-8_28
URL : https://hal.archives-ouvertes.fr/inria-00599767

J. Trapero, H. Sira-ramírez, and V. Battle, An algebraic frequency estimator for a biased and noisy sinusoidal signal, Signal Processing, vol.87, issue.6, pp.1188-1201, 2007.
DOI : 10.1016/j.sigpro.2006.10.006