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

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

P. Cartier and Y. Perrin, Integration over finite sets, Nonstandard Analysis in Practice, pp.195-204, 1995.
DOI : 10.1007/978-3-642-57758-1_9

M. H. Cheng and J. L. Tsai, A new IIR adaptive notch filter, Signal Process, pp.1648-1655, 2006.
DOI : 10.1016/j.sigpro.2005.09.010

J. Dixmier, Algèbres enveloppantes, Gauthier-Villars, 1974.

M. Fliess, Analyse non standard du bruit, Comptes Rendus Mathematique, vol.342, issue.10, pp.797-802, 2006.
DOI : 10.1016/j.crma.2006.02.037

URL : https://hal.archives-ouvertes.fr/inria-00001134

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

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. 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, Editorial Lagares, pp.1-21, 2003.

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 and H. Sira-ramírez, Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques Identification of Continuous-time Models from Sampled Data, 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

S. Haykin, Adaptive Filter Theory, 1991.

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

T. H. 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. Y. 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. Y. Liu, O. Gibaru, and W. Perruquetti, Differentiation by integration with Jacobi polynomials, Journal of Computational and Applied Mathematics, vol.235, issue.9, 2011.
DOI : 10.1016/j.cam.2010.12.023

URL : https://hal.archives-ouvertes.fr/inria-00550160

Y. Liu, O. Gibaru, and W. Perruquetti, Error analysis of a class of derivative estimators for noisy signals, Numerical Algo, 2011.

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. 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

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

A. Neves, M. Mboup, and M. Fliess, An algebraic receiver for full response CPM demodulation, VI Int, Telecom. Symp, 2006.
DOI : 10.1109/its.2006.4433304

URL : https://hal.inria.fr/inria-00086115/file/Neves_Mboup_Fliess.pdf

A. Neves, M. Miranda, and M. Mboup, Algebraic parameter estimation of damped exponentials, EUSIPCO'07, 2007.

M. R. Osborne and G. K. 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

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

G. M. Riche-de-prony, Essai expérimental et analytique : sur les lois de la dilatabilité de fluidesélastiquesfluidesélastiques 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, pp.2476-1795

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

J. R. Trapero, H. Sira-ramírez, and V. F. 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

J. R. Trapero, H. Sira-ramírez, and V. F. 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. R. Trapero, M. Mboup, E. Pereira-gonzalez, and V. B. Feliu, On-line frequency and damping estimation in a single-link flexible manipulator based on algebraic identification, 2008.

J. R. Trapero, H. Sira-ramírez, and V. F. Batlle, On the algebraic identification of the frequencies, amplitudes and phases of two sinusoidal signals from their noisy sum, International Journal of Control, vol.339, issue.3, pp.507-518, 2008.
DOI : 10.1016/j.sigpro.2004.05.008

R. Ushirobira, W. Perruquetti, M. Mboup, M. , M. Fliess et al., Estimation algébrique des paramètres intrinsèques d'un signal sinuso¨?dalsinuso¨?dal biaisé en environnement bruité, in GRETSI, 2011.

Y. Xiao and Y. Tadokoro, LMS-based notch filter for the estimation of sinusoidal signals in noise, Signal Processing, vol.46, issue.2, pp.223-231, 1995.
DOI : 10.1016/0165-1684(95)00084-Q