F. S. Alves, F. S. Oliveira, C. H. Junqueira, B. M. Azevedo, and V. C. , An??lise do padr??o eletromiogr??fico durante os agachamentos padr??o e declinado, Brazilian Journal of Physical Therapy, vol.13, issue.2, pp.164-172, 2009.
DOI : 10.1590/S1413-35552009005000021

URL : http://doi.org/10.1590/s1413-35552009005000021

D. R. Bell, D. A. Padua, and M. A. , Muscle Strength and Flexibility Characteristics of People Displaying Excessive Medial Knee Displacement, Archives of Physical Medicine and Rehabilitation, vol.89, issue.7, pp.1323-1328, 2008.
DOI : 10.1016/j.apmr.2007.11.048

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

V. Bonnet, J. Mccamley, and C. , Mazzà and A. Cappozzo Trunk orientation estimate during walking using gyroscope sensors, IEEE Int. Conf. on Biomedical Robotics and Biomechatronics, 2012.

V. Bonnet, C. Mazzà, P. Fraisse, and A. Cappozzo, A least-squares identification algorithm for estimating squat exercise mechanics using a single inertial measurement unit, Journal of Biomechanics, vol.45, issue.8, 2012.
DOI : 10.1016/j.jbiomech.2012.02.014

URL : https://hal.archives-ouvertes.fr/lirmm-00800165

A. Cappozzo, Minimum measured-input models for the assessment of motor ability, Journal of Biomechanics, vol.35, issue.4, pp.437-446, 2002.
DOI : 10.1016/S0021-9290(01)00186-5

C. Mazzà, M. Donati, J. Mccamley, P. Picerno, and A. Cappozzo, An optimized Kalman filter for the estimate of trunk orientation from inertial sensors data during treadmill walking, gait and posture, pp.138-142, 2002.

B. Dan, E. Bouillot, A. Bengoetxea, P. Noel, A. Kahn et al., Adaptive motor strategy for squatting in spastic diplegia, European Journal of Paediatric Neurology, vol.3, issue.4, pp.159-165, 1999.
DOI : 10.1016/S1090-3798(99)90049-1

R. F. Escamilla, Knee biomechanics of the dynamic squat exercise, Medicine and Science in Sports and Exercise, vol.10, pp.1556-1565, 2009.
DOI : 10.1097/00005768-200101000-00020

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 Engin, Communic. Comput, vol.21, pp.131-143, 2010.
DOI : 10.1007/s00200-010-0119-z

URL : http://arxiv.org/abs/0912.1178

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.
URL : https://hal.archives-ouvertes.fr/inria-00001059

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
DOI : 10.1007/978-1-84800-161-9_13

URL : https://hal.archives-ouvertes.fr/inria-00114958

M. Fliess and C. , 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

A. C. Fry, J. C. Smith, and B. K. Schilling, Effect of knee position on hip and knee torques during the barbell squat, Journal of Strength and Conditioning Research, vol.17, pp.629-633, 2003.

D. T. Fong and Y. Y. Chan, The Use of Wearable Inertial Motion Sensors in Human Lower Limb Biomechanics Studies: A Systematic Review, Sensors, vol.10, issue.12, pp.1556-1565, 2009.
DOI : 10.3390/s101211556

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.

R. E. Mayagoitia, A. V. Nene, and P. H. Veltink, Accelerometer and rate gyroscope measurement of kinematics: an inexpensive alternative to optical motion analysis systems, Journal of Biomechanics, vol.35, issue.4, pp.537-542, 2002.
DOI : 10.1016/S0021-9290(01)00231-7

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, 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, pp.314-318, 2004.
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. (ITS2006), 2006.

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 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, pp.24-76

C. N. Riviere, R. S. Rader, and N. V. , Adaptive cancelling of physiological tremor for improved precision in microsurgery, IEEE Transactions on Biomedical Engineering, vol.45, issue.7, pp.839-846, 1998.
DOI : 10.1109/10.686791

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, and M. Fliess, Estimation algébrique des paramètres intrinsèques d'un signal sinuso¨?dalsinuso¨?dal biaisé en environnement bruité, Proc. Gretsi, 5-9 septembre, 2011.