An algebraic approach for human posture estimation in the sagittal plane using accelerometer noisy signal

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2012, Pages 7389-7394

  Perruquetti, Wilfrid ^a   Bonnet, Vincent ^b   Mboup, Mamadou ^c   Ushirobira, Rosane ^d   Fraisse, Philippe ^e  

^a UNIV LILLE   (France)

^b UNIVERSITY OF ROME FORO ITALICO   (Italy)

^c UNIVERSITÉ DE REIMS CHAMPAGNE ARDENNE   (France)

^d CNRS   (France)

^e LIRMM   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY ESTIMATION;

ALGEBRAIC APPROACHES; ALGEBRAIC METHOD; HUMAN POSTURE ESTIMATION; HUMAN POSTURES; INERTIAL MEASUREMENT UNIT; SAGITTAL PLANE; SINUSOIDAL WAVEFORMS; TIME HORIZONS;

ALGEBRA;

EID: 84874238792     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2012.6426001     Document Type: Conference Paper

References (37)

1. F. S. M. Alves, F. S. Oliveira, C. H. B. F. Junqueira, B. M. S. Azevedo and V. C. Dionísio Analysis of electromyographic patterns during standard and declined squats, Revista Brasileira Fisioterapia, vol. 13, pp. 164-172, 2009.
2. D. R. Bell, D. A. Padua and M. A. Clark Muscle strength and flexibility characteristics of people displaying excessive medial knee displacement, Archive Physical Medicine and Rehabilitation, vol. 89, pp. 1323-1328, 2008.
3. S. Bittanti and S. Savaresi, On the parameterization and design of an extended Kalman filter frequency tracker, IEEE Trans. Automat. Control, vol. 45, pp. 1718-1724, 2000.
4. V. Bonnet, J. McCamley, C. Mazzà and A. Cappozzo Trunk orientation estimate during walking using gyroscope sensors, IEEE Int. Conf. on Biomedical Robotics and Biomechatronics, 2012.
5. 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, 2012.
6. A. Cappozzo, Minimum measured-input models for the assessment of motor ability, Journal of Biomechanics, vol. 35, pp. 437-446, 2002.
7. 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, vol. 35, pp. 138-142, 2002.
8. B. Dan, E. Bouillot, A. Bengoetxea, P. Noel, A. Kahn and G. Cheron, Adaptive motor strategy for squatting in spastic diplegia, European Journal of Paediatric Neurology, vol. 3, pp. 159-165, 1999.
9. R.F. Escamilla, Knee biomechanics of the dynamic squat exercise, Medicine and Science in Sports and Exercise, vol. 10, pp. 1556-1565, 2009.
10. M. Fliess, Analyse non standard du bruit, C.R. Acad. Sci. Paris, ser. I, 342, pp. 797-802, 2006.
11. M. Fliess, Critique du rapport signal à bruit en communications numériques, ARIMA, vol. 9, pp. 419-429, 2008.
12. M. Fliess, C. Join and M. Mboup, Algebraic change-point detection, Applicable Algebra Engin. Communic. Comput., vol. 21, pp. 131-143, 2010.
13. M. Fliess, M. Mboup, H. Mounier and H. Sira-Ramírez, Questioning some paradigms of signal processing via concrete examples, in H. Sira-Ramírez, G. Silva-Navarro (Eds.): Algebraic Methods in Flatness, Signal Processing and State Estimation, Editorial Lagares, México, pp. 1-21, 2003.
14. M. Fliess and H. Sira-Ramírez, An algebraic framework for linear identification. ESAIM Control Optim. Calc. Variat., vol. 9, pp. 151-168, 2003.
15. M. Fliess and H. Sira-Ramírez, Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques, in H. Garnier & L. Wang (Eds): Identification of Continuous-time Models from Sampled Data, Springer, pp. 362-391, 2008.
16. M. Fliess, C. Join and H. Sira-Ramírez, Non-linear estimation is easy. Int. J. Modeling Identification and Control, vol. 4, no. 1, pp. 12-27, 2008.
17. A. C. Fry, J. C. Smith, 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.
18. D. T. P. Fong and Y. Y. Chan, The Use of Wearable Inertial Motion Sensors in Human Lower Limb Biomechanics Studies: A Systematic Review, IEEE Sensors, vol. 10, pp. 1556-1565, 2009.
19. S. Haykin, Adaptive Filter Theory (2nd ed.), Englewood Cliffs, 1991.
20. L. Hsu, R. Ortega and G. Damm, A globally convergent frequency estimator, IEEE Trans. Automat. Control, vol. 44, pp. 698-713, 1999.
21. 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.
22. 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, pp. 537-542, 2002.
23. M. Mboup, C. Join and M. Fliess, A revised look at numerical differentiation with an application to nonlinear feedback control, Proc. 15th Medit. Conf. Control Automation - MED'2007, Athens, 2007.
24. M. Mboup, Parameter estimation for signals described by differential equations, Applicable Analysis, vol. 88, pp. 29-52, 2009.
25. M. Mboup, C. Join and M. Fliess, Numerical differentiation with annihilators in noisy environment, Numerical Algo., vol. 50, pp. 439-467, 2009.
26. M. Mojiri and A. R. Bakhsahi, An adaptive notch filter for frequency estimation of a periodic signal, IEEE Trans. Automat. Control, vol. 49, pp. 314-318, 2004.
27. A. Neves, M. Mboup and M. Fliess, An Algebraic Receiver for Full Response CPM Demodulation, VI Int. Telecom. Symp. (ITS2006), Fortaleza, CE, Brazil, 2006.
28. M. R. Osborne and G. K. Smyth, A modified Prony algorithm for exponential function fitting, SIAM Journal on Scientific Computing, vol. 16 (1), pp. 119-138, 1995.
29. P. A. Regalia, Adaptive IIR Filtering in Signal Processing and Control, Marcel Dekker, New York, 1995.
30. G. M. Riche de Prony, Essai expérimental et analytique : sur les lois de la dilatabilité de fluides élastiques et sur celles de la force expansive de la vapeur de l'eau et de la vapeur de l'alcool à différentes températures, Journal de l'école polytechnique, vol. 1, no. 22, pp. 24-76, 1795.
31. C. N. Riviere, R. S. Rader and N. V. Thakor Adaptive canceling of physiological tremor for improved precision in microsurgery, IEEE Transaction Biomedical Engineering, vol. 45, pp. 839-846, 1998.
32. R. Roy and T. Kailath, ESPRIT-estimation of signal parameters via rotational invariance techniques, IEEE Trans. Signal Process, vol. 37, pp. 984-995, 1989.
33. 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, pp. 1188-1201, 2007.
34. J. R. Trapero, H. Sira-Ramírez and V. F. Battle, A fast on-line frequency estimator of lightly damped vibrations in flexible structures, J. Sound Vibration, vol. 307, pp. 365-378, 2007.
35. 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, MED, 2008.
36. 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, Int. J. Control, vol. 81, pp. 507-518, 2008.
37. R. Ushirobira, W. Perruquetti, M. Mboup and M. Fliess, Estimation algébrique des paramètres intrinsèques d'un signal sinusoïdal biaisé en environnement bruité, in Proc. Gretsi, 5-9 septembre, Bordeaux, France, 2011.